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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418346PRIMGRP[451]:=
[[1, Factorial(451)/2,1,"2",[[450,1]],449, "Alt(451)", ["A",451, 1], "Alt"],
[2, Factorial(451),0,"2",[[450, 1]],451, "Sym(451)", ["A",451, 1], "Sym"]];
PRIMGRP[452]:=
[[1, Factorial(452)/2,1,"2",[[451,1]],450, "Alt(452)", ["A",452, 1], "Alt"],
[2, Factorial(452),0,"2",[[451, 1]],452, "Sym(452)", ["A",452, 1], "Sym"]];
PRIMGRP[453]:=
[[1, Factorial(453)/2,1,"2",[[452,1]],451, "Alt(453)", ["A",453, 1], "Alt"],
[2, Factorial(453),0,"2",[[452, 1]],453, "Sym(453)", ["A",453, 1], "Sym"]];
PRIMGRP[454]:=
[[1, Factorial(454)/2,1,"2",[[453,1]],452, "Alt(454)", ["A",454, 1], "Alt"],
[2, Factorial(454),0,"2",[[453, 1]],454, "Sym(454)", ["A",454, 1], "Sym"]];
PRIMGRP[455]:=
[[ 1, 653837184000, 1, "2", [ [ 198, 1 ], [ 220, 1 ], [ 36, 1 ] ], 1,
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298,376,454,444,379)( 17, 29, 47, 72,105,147,199,262,336,132,179,237,
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(310,388,392)(315,393,398)(321,399,405)(328,406,413)(336,414,422)
(345,423,432)(355,433,443)(366,444,455) ] ],
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( 16, 20, 24, 29, 34, 40, 46, 53, 61, 70, 80, 90,102,116,131)
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( 36, 42, 48, 55, 63, 72, 82, 93,106,120,136,155,176,198,219)
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(110,125,142,162,149,170,194,216,240,266,292,318,345,370,395)
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(160,182,205,227,251,275,300,325,349,364,388,411,429,443,242)
(172,184,207,230,254,279,304,330,354,378,401,412,413,430,444)
(178,200,221,244,267,291,317,343,368,392,416,433,421,427,442)
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(203,225,248,272,296,321,344,369,393,417,434,447,348,372,396)
(222,245,268,293,306,332,356,380,403,423,438,441,446,452,455)
(228,252,276,301,326,350,373,394,418,435,448,453,269,294,319)
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(381,405)(384,407)(388,412)(389,413)(400,421)(408,427)(414,431)
(418,436)(425,441)(432,446) ] ],
[3, Factorial(455)/2,1,"2",[[454,1]],453, "Alt(455)", ["A",455, 1], "Alt"],
[4, Factorial(455),0,"2",[[454, 1]],455, "Sym(455)", ["A",455, 1], "Sym"]];
PRIMGRP[456]:=
[[ 1, 3753792, 0, "2", [ [ 343, 1 ], [ 14, 1 ], [ 98, 1 ] ], 1, "PSL(3, 7).2",
[ "L", [ 3, 7 ], 1 ],
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( 18,166)( 19,174)( 20, 52)( 21,189)( 23,207)( 24,211)( 25,223)
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(116,326)(118,348)(119,221)(120,196)(121,267)(122,328)(123,215)
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(132,422)(134,380)(137,241)(139,387)(140,260)(142,182)(144,386)
(146,201)(147,408)(148,305)(150,298)(152,352)(153,406)(154,277)
(159,335)(160,356)(161,333)(162,403)(163,243)(164,390)(165,170)
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400,448)( 20, 38,374,153,219,120)( 21,297,239, 55,224,401)
( 23,396, 35,397,427,285)( 24,366,412, 98,205,221)( 26,276,385,227,
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( 31,357,273,337,327,310)( 33,399,208, 68,289,414)( 36,142, 73,240,
88, 85)( 37,235,338,317, 74, 84)( 39,375,293,292, 81,186)
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( 47, 76,243,393,331,394)( 48, 49,147)( 64,423,324,182,302,298)
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421,311)( 78,125,174,410,398,165)( 79,151,123,378,168,455)
( 80,238,318,130,404,452)( 82,413,246,275,139,200)( 83,253,179,428,
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( 90,277,163,191,255,244)( 96,346,274,193,313,415)( 97,353,342,261,
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370,241)(117,143,216,198,392,232)(118,347,295,176,417,167)
(126,231,445,272,301,242)(127,129,128,257,140,319)(135,251,148,155,
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( 8, 73,250)( 9, 85,293)( 10, 97,185)( 11,102,395)( 12,111,363)
( 13,122,128)( 14,133,324)( 15,140, 47)( 16,147,188)( 17,156,371)
( 18,165,447)( 20,180,184)( 21, 53,283)( 22,198,228)( 23,148,174)
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( 30,249,341)( 31,118,314)( 33, 96,328)( 34,244,336)( 35,265,277)
( 36,286,370)( 37, 74, 92)( 38,297,262)( 39,301,456)( 40,173,340)
( 41,311,164)( 42,315,192)( 45,320, 50)( 46,241,291)( 48,332,385)
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( 57,312,220)( 58,364,350)( 59,204,248)( 61,344,271)( 62, 65,372)
( 63,295,145)( 64, 76,306)( 66,213,345)( 67, 99, 72)( 68,279,280)
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(302,329,423)(303,351,358)(308,449,362)(309,446,453)(317,383,390)
(334,338,360)(349,433,389)(361,403,444)(373,440,454)(374,439,442),
( 2,189,380,122, 94,131)( 3,158,454,388,267,152)( 4,168,389, 79,114,
123)( 5, 87, 51,323,262,259)( 6, 61, 60, 62, 59,367)
( 7,426,424,425,329,137)( 8,299,271,407,197,220)( 9,370,382,116,
119,376)( 10,261,336,173, 58,353)( 11,355,107,106,109,102)
( 12,136,431)( 13,369,121,278,156, 14)( 15,298,371,423,146,182)
( 16, 26,379,385,247,268)( 17, 64,306,324,418,302)( 18,274, 40,313,
437, 96)( 19,410, 57,165,400,125)( 20,218,374, 30,219,440)
( 21, 46,239,373,224,248)( 22,456,263,204,266,249)( 23,280, 35,447,
427,281)( 24,290,412,228,205, 27)( 25,455,196,151,215,378)
( 28,193,449,415,269,346)( 29,194,226,252,352, 65)( 31,315,273,429,
327,303)( 32, 97, 52,342, 53,265)( 33, 36,208, 73,289, 88)
( 34,366, 93, 98,420,221)( 37,149,338,348, 74,390)( 38,453,153,343,
120, 56)( 39,256,293,316, 81,150)( 41,295,402,417,332,118)
( 42,310, 95,357, 91,337)( 44,272,214,242,359,231)( 45, 54, 50,202,
330, 99)( 47,331,243)( 48,264,147,322, 49,351)( 55,340,401,339,297,
287)( 66,445,195,301,250,126)( 67, 80,230,318,141,404)
( 68,240,414, 85,399,142)( 69,377,381,138,113,161)( 70,186,291,375,
368,292)( 71,319,133,129,104,257)( 72, 92,409,288,419,300)
( 75,304,309,387,372,296)( 76,394,393)( 77,421,108)( 78,448,174,132,
398,356)( 82,154,246,199,139,181)( 83,422,179,258,450,172)
( 84,233,235,225,317,408)( 86,112,253,134,428,236)( 89,321,206,411,
383,320)( 90,325,163,185,255,115)(100,446,341,349,350,354)
(101,201,203,335,260,345)(103,275,403,200,160,413)(105,311,188)
(110,211,213,284,212,391)(111,175,363)(117,171,216,405,392,254)
(124,283,451,209,183,433)(127,162,128,438,140,144)(130,334,452,360,
238,177)(135,439,148,386,169,441)(143,361,198,222,232,270)
(145,167,314,347,192,176)(155,245,237,312,251,187)(157,180,223,443,
294,305)(159,241,217,170,279,416)(164,227,229,384,358,276)
(166,308,234,432,282,210)(178,326,362,190,444,184)(191,286,244,435,
277,344)(207,285,364,396,365,397)(307,436,328,406,434,442),
( 1, 21,226)( 2,431,322)( 3, 8, 64)( 4,148,382)( 5,429,195)
( 6,150,122)( 7,233,110)( 9,338, 67)( 10,387,288)( 11,337,351)
( 12,400,190)( 13,265,447)( 14,107,371)( 15,227, 49)( 16,218,366)
( 17,119,149)( 18,182, 57)( 19,355,231)( 20,173,391)( 22,367,323)
( 23,410,199)( 24,344,175)( 25,395,219)( 26,316, 45)( 27,345,172)
( 28,151,327)( 29,433,421)( 30,381,399)( 31,286, 97)( 32, 79,242)
( 33,257,290)( 34,164,212)( 35, 51, 80)( 36,235,153)( 37,308,271)
( 38,417,254)( 39, 41,450)( 40,103,169)( 42,225,452)( 43,132,368)
( 44,138,390)( 46,352, 52)( 47, 89,428)( 48,104,188)( 50,284, 81)
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( 72,273,359)( 73, 92, 84)( 74,386,137)( 75,131,187)( 76,272,222)
( 78,405,210)( 82,424,375)( 83,129,246)( 85,275, 94)( 86, 87,321)
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( 96,397, 99)( 98,204,363)(100,221,106)(101,192,343)(102,208,114)
(105,289,134)(108,207,340)(109,223,356)(112,379,361)(113,439,364)
(116,415,125)(118,454,198)(120,342,168)(121,416,171)(123,422,211)
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( 11, 18, 26)( 15, 22, 32)( 21, 30, 44)( 24, 35, 36)( 27, 39, 55)
( 29, 42, 60)( 31, 46, 66)( 34, 49, 72)( 37, 52, 76)( 40, 57, 84)
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( 69,102,104)( 74,108,160)( 75,110,111)( 77,113,166)( 79,117,119)
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( 21, 46, 62,417, 98, 86, 40,100,422, 34, 69,444, 75, 80, 60)
( 22,293, 42,350,151, 63,392, 84,358,344, 59,351, 35,237,272)
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( 41,138,348,169,310,183)( 43,250,288,236, 93,378,149,305,140,450,142,
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( 4,463,355,116,158,172, 5,316,423,244,326,147,410, 52, 58,455)
( 6,171, 74, 39,123, 14,306,272,448, 64,453,441,200,155,394,156)
( 7,288,199, 86,191,259,321,178,223, 75,305,295,417,263,142, 43)
( 8,367, 19,401,183, 83, 24,443,182,176,157,279,372, 57,465,229)
( 10,446,245, 34,320,435,402,422,314,327, 48, 36,454,349,315,332)
( 11,309,293, 70,206,173,361,235,450,336,204,414,368,461, 69,312)
( 13,328,319,371,160,413, 96,396,274,103,166,387,318,389,411, 84)
( 15,378,159,313,392,382, 38, 98,412,239,418,393,351,195, 21,184)
( 16,294,231,431,151,125, 85,395,104,275, 37, 66, 50,209,108,440)
( 18,165,342,415,111,234,264,348, 25, 95,120,251,375,308,397,233)
( 20,322,168,383,370,343,224,219,381,129,181,278,364,271,232,357)
( 22,425, 92, 46, 35,324,353,290,215,462,444,187,124,140,121,237)
( 23,276,404,137,177,356,247,217,369,363,289,296,192, 94,262, 32)
( 27, 78,106,163,189,109, 42,150)( 28, 79,197,270,323,285,144,164,134,
230,238,421,273,303,175,218)( 29,149,146, 97,376,100,283,280,442,379,
354,119,266,385,170, 99)( 31,248, 65,268,135,362, 87,145,126,256,358,
138,386, 54,337,334)( 33,340, 55,110, 44,433, 72, 62,127,398,154,287,
267,202,258,112)( 40,185,317,118,216,339,310, 41, 47,246, 63,225,208,
408,403,292)( 45, 60, 68,133,325,377,329,194, 77,260,226,253,211,438,
299,399)( 51,302,143,390,128,333,220,240,420,458,457,434,190,193,424,
331)( 53,136,162,335,447,360,373,148,214,241,115,460, 90,261, 93,255)
( 59,407,428,236,427,243,254,419,203,409,174,227,201,426,207,210)
( 61,449,432,122,213,365,344,180,429,222, 76, 82,430,205,242,400)
( 67,221, 73,117, 91,359,212,179)( 88,416,437,250,141,298,345,405,451,
169,445,132,161,284,131,286)(101,196,113,188,300,130,252,105,228,307,
456,380,452,311,347,352),
( 1, 56,109, 63,452,166,260,194,214,373,266,354,389,105,426, 27)
( 2,273,444,155,210,130,328, 5, 94,398,157,113,342,254,149,301)
( 3,161, 21, 57,416, 25,457, 32,158,201, 49,344,213,151,438,322)
( 4,276,420, 20,247,223, 52, 26,395,145,275,114,434,406,192,381)
( 6,336,360, 75, 69, 28,236,167, 81,268, 67,440, 59, 98,304, 60)
( 7,370,139, 85,432,333,171,409, 19,148,235,403,454,116,430, 37)
( 8,349,146,186,418, 41,294,212,138,259,297,216,250,279,464,241)
( 9,309,352,300,182,153,379,388,174,141,437, 79,218,408, 17,226)
( 10,462,405,288, 43, 68,185, 95,196,312, 44,356,143, 96,347, 47)
( 11,178,256,125,233, 13,446,221, 53,278,184,329,172, 48,140,135)
( 12,261,202,270, 88, 33,136, 80, 42,299,401, 22, 46,361,100,150)
( 14, 35,350,371,188,348, 54, 91, 73,248,111,101,160,191,237,314)
( 15,445,449,183,419,244, 16,331, 40,173,205,230,378,129,269,357)
( 18,102, 99,302,108,376, 36,327,307,387,181,289,337, 38,345,203)
( 23,124,238,252,311,169,290,404)( 24,400, 70,338,407,441,284,229,351,
281,382,204,144,245,310,384)( 29,305,177,324,121,262,291,133,330,285,
287,296,217, 55,131,346)( 30,320,323,165,431,339, 72,461,249, 77,195,
421, 82,448,115,377)( 31,369,232,318,456,123, 74,399,231,316,325,263,
251,292,303,393)( 34,411,364,103,453,222,340,424,190,264,334,234,410,
326,267,365)( 39,390,385,159,271, 93,359,200,396,375, 66,362,391,176,
358,353)( 45,189,240, 61,265,242,463, 78, 97,427,433,110,180,154,127,
118)( 50, 76,429,107,225,128,137, 58,415,197,368,313,164,257,219,283)
( 51,112,460,282,397,413,277,458,106,227,156,215,126,383,253,274)
( 62,428,209,120,286, 64,417,170,447,435,122,451,392,119,459,372)
( 65,239,207,355,224,142,272,402, 89,168,220,246,412,386,443,293)
( 71,147,243,175,341,152,366, 86,298,317,193,436,280,206, 83,211)
( 84,442,343, 87,187,315,208,163,455,321,319,308,295,335,258,423)
( 90,306,228,134,450,425,199,104,439, 92,367,132,380,422,162,179)
(117,332,465,374,255,198,414,394) ] ],
[ 2, 29760, 0, "2", [ [ 32, 14 ], [ 16, 1 ] ], 1, "PGL(2, 31)",
[ "L", [ 2, 31 ], 1 ],
[ ( 1, 2, 4, 8, 15, 28, 52, 95,166,267,376,126, 60,110, 84,111,193,298,
313,414,457, 86,152,248,282,189,294,163,263,334)( 3, 6, 12, 22, 41,
76,135,223,333,401,450,172,277,386,344,428,324,374,332,330, 77,137,
224,335, 93,162,261,370,276,385)( 5, 10, 19, 35, 65,119,199, 42, 78,
139,226,337,425,336,156,128,213,321,418,422,456,437,432,242,270,380,
448,239,350,430)( 7, 14, 26, 48, 89,157,253,302, 27, 50, 92,161,260,
292,315, 96,168,271,381,371,171,174,266,230, 46, 85,150,244,354,309)
( 9, 17, 32, 59,108,188,293,397,423,207,314,251,259,368, 79,141,229,
341,342,272,225,143,233,176,113,151,246,356,436,384)( 11, 21, 39, 72,
129,214,322,398,454,382,279,387,327,410,316,399, 81,144,235,347,429,
105,183,286,178,283,390,424,306,411)( 13, 24, 45, 83,147,180,284,391,
66,121,203,185,290,395, 75,134,222,331,361,100,173,103,179,146,192,
169,273,369,133,221)( 16, 30, 56,102,177,281,388,442,460,352,245,285,
393,452,122,205,307,412, 88,155,252,360,438,107,186, 23, 43, 80,142,
231)( 18, 34, 63,115,196, 38, 71,127,211,318,301,392,109,190, 31, 58,
106,184,288,389,379, 62,114,195,300,373,210,200,308, 49)
( 20, 37, 69,124,208,187,165,265,375,444,426,462, 57,104,181, 40, 74,
132,219,328,194, 68, 53, 97,170,274,383,238,349,409)( 25, 47, 87,153,
249,358,407,234,346, 55,101,175,280, 73,131,217,326, 70,125,209,182,
51, 94,164,212,299,405,130,202,304)( 29, 54, 99,158,255,339,343,427,
136,220,329,268,377,367,363,439,451,250,359,402, 33, 61,112, 64,117,
197,303,191,296,204)( 36, 67,123,206,312,247,357,431,227,338,319,417,
445,420,149,243,289,216,325,355,421,291,396,297,403,440,278,262,372,
443)( 44, 82,145,237,348,406,459,254,362,240,310,236,116,138,118,198,
305,264,353,256,365,287,394,154, 98,148,241,351,433,446)
( 90,159,257,366,441,458,453,295,400,317,416,140,228,275,311,215,323,
419,449,464,435,463,320,167,269,378,447,455,404,434)( 91,160,258,364,
345,408,415,461,465,120,201,218,232,340,413),
( 1, 3, 7)( 2, 5, 11)( 4, 9, 18)( 6, 13, 25)( 8, 16, 31)
( 10, 20, 38)( 12, 23, 44)( 14, 27, 51)( 15, 29, 55)( 17, 33, 62)
( 19, 36, 68)( 21, 40, 75)( 22, 42, 79)( 24, 46, 86)( 26, 49, 91)
( 28, 53, 98)( 30, 57,105)( 32, 60,111)( 34, 64,118)( 35, 66,122)
( 37, 70,126)( 39, 73,112)( 41, 77,138)( 43, 81, 67)( 45, 84,149)
( 47, 88,156)( 48, 90,155)( 50, 93,163)( 52, 96,169)( 54,100,174)
( 56,103,180)( 58,107,187)( 59,109,191)( 61,113,194)( 63,116,117)
( 65,120,202)( 69, 76,136)( 71,128, 92)( 72,130,216)( 74,133,124)
( 78,140,161)( 80,143,234)( 82,146,239)( 83,148,242)( 85,151,247)
( 87,154,251)( 89,158,256)( 94,165,266)( 95,167,270)( 97,171,276)
( 99,172,278)(101,176,237)(102,178,265)(104,182,271)(106,185,291)
(108,189,115)(110,192,297)(114,173,279)(119,200,309)(121,204,311)
(123,207,315)(125,210,317)(127,212,320)(129,215,324)(131,218,213)
(132,220,330)(134,184,289)(135,203,246)(137,225,336)(139,227,339)
(141,230,322)(142,232,344)(144,236,244)(145,238,152)(147,240,209)
(150,245,355)(153,250,248)(157,254,363)(159,253,205)(160,259,369)
(162,262,373)(164,264,179)(166,268,281)(168,272,382)(170,275,188)
(175,199,307)(177,282,389)(181,285,288)(183,287,318)(186,292,325)
(190,295,401)(193,299,219)(195,301,407)(196,302,408)(197,304,410)
(198,306,260)(201,310,305)(206,313,415)(208,316,290)(211,319,385)
(214,284,392)(217,327,421)(221,233,345)(222,332,423)(223,334,424)
(224,241,352)(226,296,402)(228,340,426)(229,342,412)(231,343,414)
(235,263,374)(243,353,434)(249,277,346)(252,361,321)(255,364,347)
(257,362,396)(258,367,390)(261,371,383)(267,312,413)(269,379,428)
(273,335,280)(274,384,449)(283,380,429)(286,300,406)(293,398,455)
(294,399,456)(298,404,351)(303,409,314)(308,328,422)(323,387,333)
(326,420,447)(329,360,416)(331,419,359)(337,377,443)(338,341,372)
(348,430,397)(349,431,418)(350,432,370)(354,435,425)(356,437,394)
(357,411,460)(358,368,442)(365,440,462)(366,376,446)(375,445,459)
(378,395,453)(381,391,451)(386,439,417)(388,450,465)(393,433,438)
(400,457,448)(403,405,458)(427,463,452)(436,441,454)(444,461,464) ] ],
[ 3, 19998720, 0, "2", [ [ 224, 1 ], [ 28, 1 ], [ 84, 1 ], [ 128, 1 ] ], 1,
"PSL(5, 2).2", [ "L", [ 5, 2 ], 1 ],
[ ( 1,125,209,149,181, 44,200, 32,332,147)( 2, 30,164,218,252, 35, 37,279,
381,145)( 3,261,103,418,157,183,208,344,351,206)( 4,213, 6, 43,
241, 40,312,235,161, 25)( 5,293,138,397,150,221,188,109,249,285)
( 7,194,443,345,355,452,354,428,106,223)( 8, 31,404,236,198,238, 58,
313,202, 23)( 9,376,152, 85,400,402,424, 41,335,290)
( 10, 94, 96,215,384,247,278,350,289,148)( 11,169,341,179,230, 45,308,
282, 52,306)( 12,130,126, 98,203,245, 18, 16,411,297)
( 13,373, 73,315,391,262,144,304,457,250)( 14,158,283,409, 39,358,325,
174,139, 55)( 15,205,257, 47, 49,455, 72,114,357,162)
( 17,378,361,298,442,242, 48,429,101,131)( 19,420, 97,240,180, 60,329,
170, 29, 63)( 20,427,160, 78, 56,220,349,393,401, 57)
( 21,413,435, 90,276,196,375,244,237, 68)( 22,348,326,464,454,440,201,
163,339, 95)( 24,389, 88,143,140,410, 65,266,311, 54)
( 26, 70,426,451,135,314,173,366,317,360)( 27,267,112,398,269,259,119,
168,340,182)( 28,273,362, 82,197,422,102,447, 66, 69)
( 33,374, 42, 99,392,155,199,352,231, 74)( 34,222,156,382,275)
( 36,175,274,408,191,385,445,407,165,403)( 38,178,439,204, 59,365, 80,
277,227,151)( 46, 75,377,177, 93,388,300,359,256,270)
( 50,292,216,301,444, 67,229,305,219,228)( 51,124,399,195, 79,251,396,
367,100,129)( 53,153, 76,137, 71,333,136,184,176,110)
( 61,111,146,330,322,431,263,327,463,343)( 62,316,302,450,423,113,260,
448,142,132)( 64,353,254,105, 81,395, 89,386,246, 91)
( 77,133,121, 87,127,338,417,141,436,394)( 83,286,172,239,291,185,265,
453,336,334)( 84,364,371,462,438,372,272,210,387,217)
( 86,406,212,295,369,432,296,433,253,342)( 92,104,456,370,268,465,430,
346,233,107)(108,225,187,441,307,248,446,243,284,416)
(115,117,309,459,287,331,321,414,379,214)(116,415,232,134,425,419,118,
234,458,120)(122,159,405,449,226,421,167,166,303,323)
(123,190,258,356,324,368,271,189,328,192)(128,280,154,318,288,412,224,
319,460,363)(171,383,186,437,320,390,347,211,461,434)
(193,255,337,294,281)(207,264,299,310,380),
( 1, 73, 57,432,268,250)( 2,132,100,348, 68,232)( 3,243, 85,453, 77,
288)( 4,292,215, 70,153,269)( 5,321, 41, 69,333,137)
( 6, 84,131, 63,334,443)( 7,359,125, 27, 49,277)( 8,207,189,448,
203,302)( 9,424,279,376,296,337)( 10,239,122, 98,420,419)
( 11,342,366,138,280,381)( 12,190,345, 93,407,358)( 13,322, 89,275,
186,343)( 14,267,270,130,271,256)( 15,300,429,185,135,134)
( 16,181,168,166,178,139)( 17,421, 30,247,328,329)( 18,276,119,195,
177, 35)( 19, 88, 72, 61,326,104)( 20,199,191,233, 99,324)
( 21,336,272,116,456,411)( 22,147, 32,409,142,405)( 23, 67,418,228,
90,171)( 24,416,149,179, 96,230)( 25,309,157,319,159,396)
( 26,237,236,351, 79,198)( 28,349,375,399,214,387)( 29,281,240)
( 31,180,113,372,143,428)( 33,378,251,110,347, 95)( 34, 47)
( 36,124,312,154,252,414)( 37,261,242,102,356,341)( 38,305, 39,362,
123,128)( 40,194,136,294,289,354)( 43,201,101,423,111,234)
( 44, 80,107,112, 56,126)( 45,388,224,445,426,404)( 46,389,313,299,
175, 65)( 48,219,454,344, 71,398)( 50,442,390,235,444,291)
( 51,264,155,394,383,127)( 52,184,307,318,306,115)( 53,204,152,408,
221,223)( 54,263,118,298, 94,161)( 55,220,365,231,368,403)
( 58, 97,311,217, 62,158)( 60,458,163, 83,205, 75)( 64,238,339,297,
121,258)( 66,259,286,377,225,439)( 74,425,244,248,434,441)
( 76,374,331,192,460,370)( 78,226)( 81,449)( 82,317,446,285,265,436)
( 86,172,304,187,391,363)( 87,197,150,117,451,176)( 91,380)( 92,357)
(103,340,301)(105,212,148,382,417,433)(106,278,245,415,274,140)
(108,283,120,174,284,193)(109,373,369,461,218,254)(114,465)
(129,438,202,170,314,325)(133,196,384,346,246,364)(141,144,464,386,
395,437)(145,255,213,188,385,293)(146,241,260,167,160,206)(151,303)
(156,273,253,208,295,282)(162,165,200,227,452,355)(164,266,402,430,
406,431)(169,315,371)(173,400,229,459,182,397)(183,450,338,209,335,
440)(210,435,308,392,457,320)(211,361,353,455,262,360)
(216,410,412,350,447,332)(222,462,463,367,330,427)(249,290,379)
(287,393,413,316,422,327)(310,401)(323,352) ] ],
[ 4, 4111419327088961408862781440000000, 1, "2", [ [ 58, 1 ], [ 406, 1 ] ],
1, "Alt(31)", [ "A", 31, 1 ],
[ ( 2, 3, 5, 8, 12, 17, 23, 30, 38, 47, 57, 68, 80, 93,107,122,138,155,
173,192,212,233,255,278,302,327,353,380,408)( 4, 7, 11, 16, 22, 29,
37, 46, 56, 67, 79, 92,106,121,137,154,172,191,211,232,254,277,301,
326,352,379,407,436,465)( 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91,
105,120,136,153,171,190,210,231,253,276,300,325,351,378,406,435,464,
437)( 9, 14, 20, 27, 35, 44, 54, 65, 77, 90,104,119,135,152,170,189,
209,230,252,275,299,324,350,377,405,434,463,409,438)( 13, 19, 26, 34,
43, 53, 64, 76, 89,103,118,134,151,169,188,208,229,251,274,298,323,
349,376,404,433,462,381,410,439)( 18, 25, 33, 42, 52, 63, 75, 88,102,
117,133,150,168,187,207,228,250,273,297,322,348,375,403,432,461,354,
382,411,440)( 24, 32, 41, 51, 62, 74, 87,101,116,132,149,167,186,206,
227,249,272,296,321,347,374,402,431,460,328,355,383,412,441)
( 31, 40, 50, 61, 73, 86,100,115,131,148,166,185,205,226,248,271,295,
320,346,373,401,430,459,303,329,356,384,413,442)( 39, 49, 60, 72, 85,
99,114,130,147,165,184,204,225,247,270,294,319,345,372,400,429,458,
279,304,330,357,385,414,443)( 48, 59, 71, 84, 98,113,129,146,164,183,
203,224,246,269,293,318,344,371,399,428,457,256,280,305,331,358,386,
415,444)( 58, 70, 83, 97,112,128,145,163,182,202,223,245,268,292,317,
343,370,398,427,456,234,257,281,306,332,359,387,416,445)
( 69, 82, 96,111,127,144,162,181,201,222,244,267,291,316,342,369,397,
426,455,213,235,258,282,307,333,360,388,417,446)( 81, 95,110,126,143,
161,180,200,221,243,266,290,315,341,368,396,425,454,193,214,236,259,
283,308,334,361,389,418,447)( 94,109,125,142,160,179,199,220,242,265,
289,314,340,367,395,424,453,174,194,215,237,260,284,309,335,362,390,
419,448)(108,124,141,159,178,198,219,241,264,288,313,339,366,394,423,
452,156,175,195,216,238,261,285,310,336,363,391,420,449)
(123,140,158,177,197,218,240,263,287,312,338,365,393,422,451,139,157,
176,196,217,239,262,286,311,337,364,392,421,450),
( 1, 2, 4)( 3, 6, 7)( 5, 9, 11)( 8, 13, 16)( 12, 18, 22)
( 17, 24, 29)( 23, 31, 37)( 30, 39, 46)( 38, 48, 56)( 47, 58, 67)
( 57, 69, 79)( 68, 81, 92)( 80, 94,106)( 93,108,121)(107,123,137)
(122,139,154)(138,156,172)(155,174,191)(173,193,211)(192,213,232)
(212,234,254)(233,256,277)(255,279,301)(278,303,326)(302,328,352)
(327,354,379)(353,381,407)(380,409,436)(408,437,465) ] ],
[ 5, 8222838654177922817725562880000000, 0, "2", [ [ 58, 1 ], [ 406, 1 ] ],
1, "Sym(31)", [ "A", 31, 1 ],
[ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
91,101,111,122,133,145,157,170,183,197,211,226,241)( 4, 6, 8, 11,
14, 18, 22, 27, 32, 38, 44, 51, 58, 66, 74, 83, 92,102,112,123,134,
146,158,171,184,198,212,227,242,258,257)( 9, 12, 15, 19, 23, 28, 33,
39, 45, 52, 59, 67, 75, 84, 93,103,113,124,135,147,159,172,185,199,
213,228,243,259,274,273,289)( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68,
76, 85, 94,104,114,125,136,148,160,173,186,200,214,229,244,260,275,
291,290,305,321)( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,115,
126,137,149,161,174,187,201,215,230,245,261,276,292,307,306,322,337,
353)( 36, 42, 48, 55, 62, 70, 78, 87, 96,106,116,127,138,150,162,175,
188,202,216,231,246,262,277,293,308,324,323,338,354,369,385)
( 49, 56, 63, 71, 79, 88, 97,107,117,128,139,151,163,176,189,203,217,
232,247,263,278,294,309,325,340,339,355,370,386,401,414)
( 64, 72, 80, 89, 98,108,118,129,140,152,164,177,190,204,218,233,248,
264,279,295,310,326,341,357,356,371,387,402,415,426,436)
( 81, 90, 99,109,119,130,141,153,165,178,191,205,219,234,249,265,280,
296,311,327,342,358,373,372,388,403,416,427,437,445,452)
(100,110,120,131,142,154,166,179,192,206,220,235,250,266,281,297,312,
328,343,359,374,390,389,404,417,428,438,446,453,458,462)
(121,132,143,155,167,180,193,207,221,236,251,267,282,298,313,329,344,
360,375,391,384,400,413,425,435,444,451,457,461,464,465)
(144,156,168,181,194,208,222,237,252,268,283,299,314,330,345,361,376,
392,405,352,368,383,399,412,424,434,443,450,456,460,463)
(169,182,195,209,223,238,253,269,284,300,315,331,346,362,377,393,406,
418,320,336,351,367,382,398,411,423,433,442,449,455,459)
(196,210,224,239,254,270,285,301,316,332,347,363,378,394,407,419,429,
288,304,319,335,350,366,381,397,410,422,432,441,448,454)
(225,240,255,271,286,302,317,333,348,364,379,395,408,420,430,439,256,
272,287,303,318,334,349,365,380,396,409,421,431,440,447),
( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
( 90,100)(110,121)(132,144)(156,169)(182,196)(210,225)(240,256)
(241,257)(258,273)(272,288)(274,290)(291,306)(304,320)(307,323)
(324,339)(336,352)(340,356)(357,372)(368,384)(373,389)(390,400) ] ],
[6, Factorial(465)/2,1,"2",[[464,1]],463, "Alt(465)", ["A",465, 1], "Alt"],
[7, Factorial(465),0,"2",[[464, 1]],465, "Sym(465)", ["A",465, 1], "Sym"]];
PRIMGRP[466]:=
[[1, Factorial(466)/2,1,"2",[[465,1]],464, "Alt(466)", ["A",466, 1], "Alt"],
[2, Factorial(466),0,"2",[[465, 1]],466, "Sym(466)", ["A",466, 1], "Sym"]];
PRIMGRP[467]:=
[[1, Factorial(467)/2,1,"2",[[466,1]],465, "Alt(467)", ["A",467, 1], "Alt"],
[2, Factorial(467),0,"2",[[466, 1]],467, "Sym(467)", ["A",467, 1], "Sym"],
[ 3, 467, 3, "1", [ [ 1, 466 ] ], 1, "C(467)", [ "Z", 467, 1 ], [ ] ],
[ 4, 934, 2, "1", [ [ 2, 233 ] ], 1, "D(2*467)", [ "Z", 467, 1 ],
[ [ [ Z(467)^233 ] ] ] ],
[ 5, 108811, 2, "1", [ [ 233, 2 ] ], 1, "467:233", [ "Z", 467, 1 ],
[ [ [ Z(467)^2 ] ] ] ],
[ 6, 217622, 2, "1", [ [ 466, 1 ] ], 2, "AGL(1, 467)", [ "Z", 467, 1 ],
[ [ [ Z(467) ] ] ] ]];
PRIMGRP[468]:=
[[ 1, 50923548, 1, "2", [ [ 467, 1 ] ], 2, "PSL(2, 467)",
[ "L", [ 2, 467 ], 1 ], "psl" ],
[ 2, 101847096, 0, "2", [ [ 467, 1 ] ], 3, "PGL(2, 467)",
[ "L", [ 2, 467 ], 1 ], "pgl" ],
[3, Factorial(468)/2,1,"2",[[467,1]],466, "Alt(468)", ["A",468, 1], "Alt"],
[4, Factorial(468),0,"2",[[467, 1]],468, "Sym(468)", ["A",468, 1], "Sym"]];
PRIMGRP[469]:=
[[1, Factorial(469)/2,1,"2",[[468,1]],467, "Alt(469)", ["A",469, 1], "Alt"],
[2, Factorial(469),0,"2",[[468, 1]],469, "Sym(469)", ["A",469, 1], "Sym"]];
PRIMGRP[470]:=
[[1, Factorial(470)/2,1,"2",[[469,1]],468, "Alt(470)", ["A",470, 1], "Alt"],
[2, Factorial(470),0,"2",[[469, 1]],470, "Sym(470)", ["A",470, 1], "Sym"]];
PRIMGRP[471]:=
[[1, Factorial(471)/2,1,"2",[[470,1]],469, "Alt(471)", ["A",471, 1], "Alt"],
[2, Factorial(471),0,"2",[[470, 1]],471, "Sym(471)", ["A",471, 1], "Sym"]];
PRIMGRP[472]:=
[[1, Factorial(472)/2,1,"2",[[471,1]],470, "Alt(472)", ["A",472, 1], "Alt"],
[2, Factorial(472),0,"2",[[471, 1]],472, "Sym(472)", ["A",472, 1], "Sym"]];
PRIMGRP[473]:=
[[1, Factorial(473)/2,1,"2",[[472,1]],471, "Alt(473)", ["A",473, 1], "Alt"],
[2, Factorial(473),0,"2",[[472, 1]],473, "Sym(473)", ["A",473, 1], "Sym"]];
PRIMGRP[474]:=
[[1, Factorial(474)/2,1,"2",[[473,1]],472, "Alt(474)", ["A",474, 1], "Alt"],
[2, Factorial(474),0,"2",[[473, 1]],474, "Sym(474)", ["A",474, 1], "Sym"]];
PRIMGRP[475]:=
[[1, Factorial(475)/2,1,"2",[[474,1]],473, "Alt(475)", ["A",475, 1], "Alt"],
[2, Factorial(475),0,"2",[[474, 1]],475, "Sym(475)", ["A",475, 1], "Sym"]];
PRIMGRP[476]:=
[[1, Factorial(476)/2,1,"2",[[475,1]],474, "Alt(476)", ["A",476, 1], "Alt"],
[2, Factorial(476),0,"2",[[475, 1]],476, "Sym(476)", ["A",476, 1], "Sym"]];
PRIMGRP[477]:=
[[1, Factorial(477)/2,1,"2",[[476,1]],475, "Alt(477)", ["A",477, 1], "Alt"],
[2, Factorial(477),0,"2",[[476, 1]],477, "Sym(477)", ["A",477, 1], "Sym"]];
PRIMGRP[478]:=
[[1, Factorial(478)/2,1,"2",[[477,1]],476, "Alt(478)", ["A",478, 1], "Alt"],
[2, Factorial(478),0,"2",[[477, 1]],478, "Sym(478)", ["A",478, 1], "Sym"]];
PRIMGRP[479]:=
[[1, Factorial(479)/2,1,"2",[[478,1]],477, "Alt(479)", ["A",479, 1], "Alt"],
[2, Factorial(479),0,"2",[[478, 1]],479, "Sym(479)", ["A",479, 1], "Sym"],
[ 3, 479, 3, "1", [ [ 1, 478 ] ], 1, "C(479)", [ "Z", 479, 1 ], [ ] ],
[ 4, 958, 2, "1", [ [ 2, 239 ] ], 1, "D(2*479)", [ "Z", 479, 1 ],
[ [ [ Z(479)^239 ] ] ] ],
[ 5, 114481, 2, "1", [ [ 239, 2 ] ], 1, "479:239", [ "Z", 479, 1 ],
[ [ [ Z(479)^2 ] ] ] ],
[ 6, 228962, 2, "1", [ [ 478, 1 ] ], 2, "AGL(1, 479)", [ "Z", 479, 1 ],
[ [ [ Z(479) ] ] ] ]];
PRIMGRP[480]:=
[[ 1, 54950880, 1, "2", [ [ 479, 1 ] ], 2, "PSL(2, 479)",
[ "L", [ 2, 479 ], 1 ], "psl" ],
[ 2, 109901760, 0, "2", [ [ 479, 1 ] ], 3, "PGL(2, 479)",
[ "L", [ 2, 479 ], 1 ], "pgl" ],
[3, Factorial(480)/2,1,"2",[[479,1]],478, "Alt(480)", ["A",480, 1], "Alt"],
[4, Factorial(480),0,"2",[[479, 1]],480, "Sym(480)", ["A",480, 1], "Sym"]];
PRIMGRP[481]:=
[[1, Factorial(481)/2,1,"2",[[480,1]],479, "Alt(481)", ["A",481, 1], "Alt"],
[2, Factorial(481),0,"2",[[480, 1]],481, "Sym(481)", ["A",481, 1], "Sym"]];
PRIMGRP[482]:=
[[1, Factorial(482)/2,1,"2",[[481,1]],480, "Alt(482)", ["A",482, 1], "Alt"],
[2, Factorial(482),0,"2",[[481, 1]],482, "Sym(482)", ["A",482, 1], "Sym"]];
PRIMGRP[483]:=
[[1, Factorial(483)/2,1,"2",[[482,1]],481, "Alt(483)", ["A",483, 1], "Alt"],
[2, Factorial(483),0,"2",[[482, 1]],483, "Sym(483)", ["A",483, 1], "Sym"]];
PRIMGRP[484]:=
[[ 1, 393419980800, 0, "4c", [ [ 441, 1 ], [ 42, 1 ] ], 1,
"M_22 wreath Sym(2)", [ "Spor", "M(22)", 2 ],
[ ( 1,356, 85,478,159,119,178,220,100,402,250, 65,271,443)( 2,202, 78,412,
162, 53,183,462, 89,358,261,483,269,113)( 3, 4, 70, 82,170,163,185,
198,110, 94,248,263,285,267)( 5,114, 68,214,166,405,184, 66, 95,446,
243,373,283,465)( 6,246, 87,280,157, 9,180, 88,104,160,251,197,286,
91)( 7,444, 67,368,173,471,181,132, 90,204,254,417,272, 47)
( 8, 48, 73,456,155,361,195,484, 93,116,244,219,276,399)
( 10,422, 81,148,171,339,194,330, 99, 28,255,395,284,289)
( 11, 26, 79,390,174,295,186,440,103,138,259,351,282,311)
( 12,400, 74, 60,161,449,177,374,107,468,247,131,266,201)
( 13,378, 86,302,164,427,191,154,105,336,260,329,275, 25)
( 14,224, 80,236,168,229,190,242,102,226,256,241,278,223)
( 15,136, 83,346,172,317,187, 44,101,380,262,307,274,421)
( 16,158, 75,192,176, 97,182,264,109,270,245, 21,268, 69)
( 17,334, 84,324,165, 31,189,396,108,292,252,439,279,135)
( 18,312, 77, 38,167,383,196,308, 98,424,257,153,281,333)
( 19,466, 71,126,156,207,188,418, 96, 50,249,461,265,355)
( 20,290, 76,434,169,141,193,352,106,314,253, 43,277,377)
( 22, 92, 72,258,175,273,179)( 23,365,393,482,291,120,420,213,144,413,
338, 62,315,451)( 24,211,386,416,294, 54,425,455,133,369,349,480,313,
121)( 27,123,376,218,298,406,426, 59,139,457,331,370,327,473)
( 29,453,375,372,305,472,423,125,134,215,342,414,316, 55)
( 30, 57,381,460,287,362,437,477,137,127,332,216,320,407)
( 32,431,389,152,303,340,436,323,143, 39,343,392,328,297)
( 33, 35,387,394,306,296,428,433,147,149,347,348,326,319)
( 34,409,382, 64,293,450,419,367,151,479,335,128,310,209)
( 36,233,388,240,300,230,432,235,146,237,344,238,322,231)
( 37,145,391,350,304,318,429)( 40,321,385, 42,299,384,438,301,142,435,
345,150,325,341)( 41,475,379,130,288,208,430,411,140, 61,337,458,309,
363)( 45,359,459,463,357,129,464,203,122,398,206, 56,403,448)
( 46,205,452,397,360, 63,469,445,111,354,217,474,401,118)
( 49,117,442,199,364,415,470)( 51,447,441,353,371,481,467,115,112,200,
210,408,404, 52)( 58,227,454,221,366,239,476,225,124,222,212,232,410,
228), ( 1,372,295,195,484,104,158, 77, 36,223)( 2,218,294, 63,480,
324,169,143, 27,113)( 3, 20,306,305,481,478,170,165, 33, 25)
( 4, 86,300,239,463,368,163,187, 44, 91)( 5,130,288,217,470, 60,172,
319, 37,135)( 6,262,298,415,469,456,171,341, 43,267)
( 7,460,303,349,483,280,160,253, 34,399)( 8, 64,304,327,477,148,159,
121, 24,201)( 9,196,308,107,466, 82,168,231, 23,355)
( 10,438,296,437,472,434,164,429, 32,421)( 11, 42,289, 19,482,302,173,
473, 38,157)( 12,416,293,459,479,346,175,275, 28,245)
( 13,394,299,393,475,390,167,385, 35,377)( 14,240,287,371,471,192,176,
99, 26, 69)( 15,152,291,129,464,214,162, 55, 40,311)( 16,174,297, 41,
465)( 17,350,307,283,468,258,166,407, 29,443)( 18,328,301,151,467,
126,156,209, 30, 47)( 21,284,292,261,474,412,161,451, 39,333)
( 22,108,290, 85,476,236,155,363, 31,179)( 45,370,317,191,154, 93,114,
68,212,228)( 46,216,316, 59,150,313,125,134,203,118)( 48, 84,322,235,
133,357,119,178,220, 96)( 49,128,310,213,140)( 50,260,320,411,139,
445,127,332,219,272)( 51,458,325,345,153,269,116,244,210,404)
( 52, 62,326,323,147,137,115,112,200,206)( 53,194,330,103,136, 71,124,
222,199,360)( 54,436,318,433,142,423,120,420,208,426)
( 56,414,315,455,149,335,131,266,204,250)( 57,392,321,389,145,379,123,
376,211,382)( 58,238,309,367,141,181,132, 90,202, 74)
( 61,348,329,279,138,247,122,398,205,448)( 65,282,314,257,144,401,117,
442,215,338)( 66,106,312, 81,146,225,111,354,207,184)
( 67,366,229,177,374, 97,180, 88,102,224)( 70, 80,234,221,353,361,185,
198,110, 92)( 72,256,232,397,359,449,193,352,109,268)
( 73,454,237,331,373,273,182,264,100,400)( 75,190,242, 89,356)
( 76,432,230,419,362,427,186,440, 98,422)( 78,410,227,441,369,339,197,
286, 94,246)( 79,388,233,375,365,383,189,396,101,378)
( 83,344,241,265,358,251,188,418, 95,444)( 87,278,226,243,364,405,183,
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(249,452,413,337,461,281,336,263,276,402)(252,430,406,425,450,435,340,
439,274,424)(255,386,409,381,453,391,343,395,277,380)
(259,342,417,271,446)(384,431) ] ],
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[ "Spor", "M(22)", 2 ],
[ ( 1,374,448,240,336,210, 87,428,317, 57,106,385,479,179,258,398)
( 2, 22,462,460,350,342, 78, 76,318,321,101, 99,473,465,245,244)
( 3,264,442, 20,352,452, 86,340,320, 79, 98,319,475, 91,253,464)
( 4,176,459, 42,344,144, 73,274,312,167,107, 33,476,135,249,266)
( 5,132,455,306,335,122, 81,296,313,123,103,297,467,113,257,288)
( 6,220,461,438,339, 56, 84,384,325,189,104,407,463,355,250,222)
( 7,286,444,174,349, 34, 80,142,315,277, 92,165,481, 25,256,134)
( 8,242,446,218,351,430, 75, 54,326,387,105,187,478,399,243,354)
( 9, 66,458,394,347,188, 82,406,309,365, 96,231,468,201,263,420)
( 10,330,453,108,341,474, 69,252,310, 13,110,451,482,333,254, 68)
( 11,484,443,262,332, 12, 88,450,328,343,100, 77,472,311,255, 90)
( 14,154,447,284,334,166, 85, 32,322,145, 95,275,466,157,261, 24)
( 15,308,445,130,345,298, 71,120,323,299, 93,121,477,289,247,112)
( 16,418,441,372,338,232, 72,208,329,431, 97, 55,480,377,259,178)
( 17,198,456,416,331,364, 74,230,314,211,109,429,471, 47,260,376)
( 18,396,457,196,346,408, 67,362,316,233, 94,209,483,421,251, 46)
( 19, 44,454,152,337,276, 70,164,327, 35,102,143,469,267,246,156)
( 21,440,449, 64,348,386, 83,186,324,409, 89,363,470,223,248,200)
( 23,366,140,227,270,202,175,437, 31, 58,150,381,281,180,170,415)
( 26,168,151, 29,278,136,161,283)( 27,124,147,293,269,114,169,305)
( 28,212,153,425,273, 48,172,393, 39,190,148,403,265,356,162,239)
( 30,234,138,205,285,422,163, 63, 40,388,149,183,280,400,155,371)
( 36,146,139,271,268,158,173, 41)( 37,300,137,117,279,290,159,129)
( 38,410,133,359,272,224,160,217, 43,432,141, 51,282,378,171,195)
( 45,370,382,237,182,214,417,419,361, 52,238,380,215,197,434,405)
( 49,128,389,303,181,126,411,287,357,118,235,292,203,131,433,295)
( 50,216,395,435,185, 60,414,375,369,184,236,402,199,373,426,229)
( 53, 62,392,391,193,192,412,397,353,360,228,226,204,219,439,427)
( 59,304,379,127,191,302,401,111,367,294,225,116,213,307,423,119)
( 61,194,390,413,177,368,404,221,358,206,241,424,207, 65,436,383)
(115,125,301,291), ( 1,183,269,334, 3,293,279, 48)( 2,469,278,444,
18, 73,283,114)( 4, 7,271,268)( 5,337,267,290, 15, 51,265,180)
( 6,425,285,312, 11,403,286, 26)( 8,205,272,202)( 9,227,276,136)
( 10, 95,274, 92)( 12,139,273,224)( 13,161,280,356, 20,381,281,246)
( 14,447,282, 70, 19,117,266,466)( 16,359,284,378, 17,249,277,158)
( 21,315,275,400, 22, 29,270,422)( 23,182,423,351,311,297,411, 66)
( 24,468,432,461,326, 77,415,132)( 25,292,433, 65,309,187,401,352)
( 27,336,421,307,323, 55,397,198)( 28,424,439,329,319,407,418, 44)
( 30,204,426,219,316,209,404,220)( 31,226,430,153,317,231,408,154)
( 32, 94,428,109,318, 99,406,110)( 33,402,440, 43,314,429,417,330)
( 34,138,427,241,320,143,405,242)( 35,160,434,373,328,385,413,264)
( 36,446,436, 87,327,121,398,484)( 37, 50,419,197,313,341,399,308)
( 38,358,438,395,325,253,409,176)( 39,248,431,175,324,363,416,396)
( 40, 72,437,131,310,473,410,462)( 41,116,420,483,322,451,414, 88)
( 42,380,435,263,321,165,412,374)( 45,177,181,335,333,289,301, 59)
( 46,463,190,445,348, 69,305,125)( 47,287,191, 49,331,179,291,345)
( 52,199,184,203,338,201,294,213)( 53,221,188,137,339,223,298,147)
( 54, 89,186, 93,340, 91,296,103)( 56,133,185,225,342,135,295,235)
( 57,155,192,357,350,377,303,257)( 58,441,194, 71,349,113,288,477)
( 60,353,196,379,347,245,299,169)( 61,243,189,159,346,355,306,389)
( 62, 67,195,115,332,465,300,455)( 63,111,178,467,344,443,304, 81)
( 64,375,193,247,343,157,302,367)( 68,481,124,442,480, 80,459,128)
( 74,217,118,200,470,212,448,216)( 75,239,122,134,471,234,452,150)
( 76,107,120, 90,472,102,450,106)( 78,151,119,222,474,146,449,238)
( 79,173,126,354,482,388,457,260)( 82,371,130,376,479,256,453,172)
( 83,261,123,156,478,366,460,392)( 84, 85,129,112,464,476,454,458)
( 86,393,127,244,475,168,456,370)( 96,208)( 97,230,100,142)
(101,164,104,362,108,384,105,252)(140,207,228,210)(141,229,232,144)
(145,163,236,364,152,383,237,254)(148,361,240,386,149,251,233,166)
(162,214,360,218,382,215,250,211)(167,170,368,372,394,391,259,255)
(171,258,365,174,390,369,262,387) ] ],
[ 3, 786839961600, 0, "4c", [ [ 441, 1 ], [ 42, 1 ] ], 1, "M_22^2.4",
[ "Spor", "M(22)", 2 ],
[ ( 1,203,319, 36,400,145,298,130,463,225,253,190,356,387, 12,218,309, 27,
407,146,290,123,474,240,243,181,363,388, 4,211,320, 42,397,137,297,
124,466,233,254,196,353,379, 11,212,312, 35,408,152,287,115,473,234,
246,189,364,394)( 2,207,329, 28,403,140,296,132,464,229,263,182,359,
382, 10,220,310, 31,417,138,293,118,472,242,244,185,373,380, 7,206,
318, 44,398,141,307,116,469,228,252,198,354,383, 21,204,315, 30,406,
154,288,119,483,226,249,184,362,396)( 3,214,326, 41,399,148,304,129,
465,236,260,195,355,390, 18,217,311, 38,414,151,289,126,480,239,245,
192,370,393)( 5,209,322, 26,409,144,306,111,467,231,256,180,365,386,
20,199,313, 33,410,136,299,122,482,221,247,187,366,378, 13,210,328,
23,401,143,300,114,475,232,262,177,357,385, 14,202,321, 34,416,133,
291,121,476,224,255,188,372,375)( 6,205,316, 32,418,134,295,131,468,
227,250,186,374,376, 9,219,314, 29,404,142,308,112,471,241,248,183,
360,384, 22,200,317, 43,402,139,294,120,484,222,251,197,358,381, 8,
208,330, 24,405,153,292,117,470,230,264,178,361,395)( 15,213,323, 37,
411,147,301,125,477,235,257,191,367,389)( 16,216,327, 25,412,150,305,
113,478,238,261,179,368,392, 19,201,324, 40,415,135,302,128,481,223,
258,194,371,377)( 17,215,325, 39,413,149,303,127,479,237,259,193,369,
391)( 45, 49, 55, 58, 48, 57, 56, 64)( 46, 53, 65, 50, 51, 52, 54, 66
)( 47, 60, 62, 63)( 67,159,429,454, 92,277,342, 86,155,423,451,102,
268,343, 78,174,419,445, 99,278,334, 79,166,438,441, 93,275,344, 70,
167,430,460, 89,269,341, 80,158,431,452,108,265,335, 77,168,422,453,
100,284,331, 71,165,432,444,101,276,350)( 68,163,439,446, 95,272,340,
88,156,427,461, 94,271,338, 76,176,420,449,109,270,337, 74,164,440,
442, 97,285,336, 73,162,428,462, 90,273,351, 72,161,426,450,110,266,
339, 87,160,425,448, 98,286,332, 75,175,424,447, 96,274,352)
( 69,170,436,459, 91,280,348, 85,157,434,458,107,267,346, 84,173,421,
456,106,283,333, 82,172,437,443,104,282,349)( 81,169,433,455,103,279,
345)( 83,171,435,457,105,281,347),
( 1,171,228,375,165,184,386,143,197,474,137,285,472, 93,268,252, 94,
356,258, 72,371,214, 81,305,218, 15,303,240)( 2, 61,234,309,157, 30,
387,407,185,122,154,461,480,423,266, 54,102,312,245, 28,365,412, 75,
129,220,455,304,438)( 3, 39,233,397,163,118,396,451,194,430,134, 65,
476,313,267, 32,101,400,251,116,374,456, 84,437,200, 59,300,328)
( 4,259,226,353,170, 74,393,209,191,298,152, 21,479,225,265,164, 96,
378,253,182,364,148, 87,481,203,279,296,108)( 5,281,230, 89,158,250,
380,363,192, 78,151,219,477,291,284, 10,105,224,243,160,360,390, 77,
195,210,147,307,482)( 6,369,236, 67,173,206,389,297,196, 12,149,241,
463,159,272,384, 99,180,254,138,373,478, 71,283,208,103,290,262)
( 7,347,227,331,161,338,381,341,183,342,139,351,469,335,271,340, 95,
334,249,336,359,346, 73,349,205,345,293,350)( 8,391,231,177,166,140,
395,473,181,276,142,109,466,247,270,362,104, 70,261,204,367,302, 86,
19,215,235,287,174)( 9,127,242,441,172,426,376, 55,190,320,135, 43,
475,401,273,120,110,444,260,424,354, 60, 80,327,201, 37,299,416)
( 11,193,232,133,175,470,379,275,186,100,136,263,468,357,280, 76,107,
202,257,292,372, 16, 83,239,199,169,294,394)( 13,413,229,111,176,448,
392,429,178, 56,146,329,465, 27,277,406, 97,114,264,446,370,434, 68,
63,212,323,289, 42)( 14,325,223, 23,167,404,383,121,198,452,150,439,
464, 49,278,318, 91, 26,255,402,361,126, 88,459,216,433,288, 64)
( 17,237,221,155,162,382,385,187,188,144,153,483,467,269,274, 98, 92,
246,248,358,368, 82, 85,217,213,301,306, 20)( 18,435,222, 45,168,316,
377, 33,189,408,141,131,484,445,282,428, 90, 48,256,314,355, 38, 79,
415,207,125,308,460)( 22,457,238,419,156, 52,388,319,179, 34,145,417,
471,115,286,450,106,422,244, 50,366,324, 69, 41,211,411,295,130)
( 24, 57,410,317,113, 44,453,414,427,112, 66,454,326,421)
( 25, 35,409,405,119,132,462,458,436,420, 46, 58,322,311)
( 29,343,403,339,117,352,447,348,425,332, 51,344,315,333)
( 31,123,418,449,128,440,442, 62,432,310, 47, 36,321,399)
( 40,431,398, 53,124,330,443) ] ],
[ 4, 1573679923200, 0, "4c", [ [ 441, 1 ], [ 42, 1 ] ], 1,
"Aut(M_22) wreath Sym(2)", [ "Spor", "M(22)", 2 ],
[ ( 1, 20, 22, 14, 17, 19, 18, 13, 15, 4, 9, 8, 2, 12)( 3, 6, 7, 11,
16, 10, 21)( 23,438,242,102, 39,437,238,101, 37,422,229, 96, 24,430,
221,108, 44,432,237,107, 40,431,235, 92, 31,426,222,100)
( 25,424,227, 99, 38,428,241, 91, 28,425,231,104, 32,439,223, 94, 29,
429,236, 98, 43,421,226, 95, 33,434,230,109)( 26,427,228, 90, 34,419,
240,110, 36,435,239,106, 35,433,224, 97, 30,420,232, 89, 42,440,234,
105, 41,436,233,103)( 27,423,225, 93)( 45,152,308,322, 61,151,304,
321, 59,136,295,316, 46,144,287,328, 66,146,303,327, 62,145,301,312,
53,140,288,320)( 47,138,293,319, 60,142,307,311, 50,139,297,324, 54,
153,289,314, 51,143,302,318, 65,135,292,315, 55,148,296,329)
( 48,141,294,310, 56,133,306,330, 58,149,305,326, 57,147,290,317, 52,
134,298,309, 64,154,300,325, 63,150,299,323)( 49,137,291,313)
( 67,460,132,190, 83,459,128,189, 81,444,119,184, 68,452,111,196, 88,
454,127,195, 84,453,125,180, 75,448,112,188)( 69,446,117,187, 82,450,
131,179, 72,447,121,192, 76,461,113,182, 73,451,126,186, 87,443,116,
183, 77,456,120,197)( 70,449,118,178, 78,441,130,198, 80,457,129,194,
79,455,114,185, 74,442,122,177, 86,462,124,193, 85,458,123,191)
( 71,445,115,181)(155,174,176,168,171,173,172,167,169,158,163,162,156,
166)(157,160,161,165,170,164,175)(199,350,418,476,215,349,414,475,
213,334,405,470,200,342,397,482,220,344,413,481,216,343,411,466,207,
338,398,474)(201,336,403,473,214,340,417,465,204,337,407,478,208,351,
399,468,205,341,412,472,219,333,402,469,209,346,406,483)
(202,339,404,464,210,331,416,484,212,347,415,480,211,345,400,471,206,
332,408,463,218,352,410,479,217,348,409,477)(203,335,401,467)
(243,394,264,388,259,393,260,387,257,378,251,382,244,386)
(245,380,249,385,258,384,263,377,248,381,253,390,252,395)
(246,383,250,376,254,375,262,396,256,391,261,392,255,389)(247,379)
(265,372,286,366,281,371,282,365,279,356,273,360,266,364)
(267,358,271,363,280,362,285,355,270,359,275,368,274,373)
(268,361,272,354,276,353,284,374,278,369,283,370,277,367)(269,357),
( 1,353,365, 79, 74,228,227,337,346,214,215,105, 94, 6)
( 2,397,374,123, 70, 52,231,271,349, 38,219,457,100,182, 14,243,367,
167, 86,470,230,139,339,302,201,325,106,380)( 3,309,370,387, 68,404,
242,117,334, 60,209,281,107, 28, 21,441,364,189, 80,250,235,161,350,
478,208,149, 97,292)( 4, 45,363,277, 85, 30,241,447,342,192,212,259,
103,160, 20,463,362,145, 75,294,223,315,348,390,200,413,110,116)
( 5,419,357,431, 71,426,225,425,335,434,203,435, 93,424)
( 7,331,368,211, 83, 96,226)( 8,221,359,343, 82,206,237, 95,336, 16,
199,369,101, 72)( 9,287,355,321, 84,382,222,403,352,126,202, 61, 99,
270, 19, 23,373,453, 78,184,234,249,345,170,218,479, 98,138)
( 10,133,361,299, 69,316,238,381,332,412,220,127, 92, 50, 11,265,371,
35, 87,448,232,183,344,258,213,171,108,468)( 12,177,366,255, 81,162,
240,469,340,148,207,303, 91,314, 18,375,354,409, 88,118,224, 51,341,
280,217, 39,109,446)( 13, 67,360,233, 73,338,236,205,347,104,204, 17,
89,358)( 15,155,372,475, 76,140,229,293,333,324,216,391, 90,402, 22,
111,356, 57, 77,272,239, 29,351,456,210,193,102,248)( 24,417,462,122,
180, 58,253,279,173, 42,483,450,144,185,300,245,323,172,394,464,406,
154,119,290, 47,319,282,393)( 25,329,458,386,178,410,264,125,158, 64,
473,274,151, 31,307,443,320,194,388,244,411,176,130,466, 54,143,273,
305)( 26, 65,451,276,195, 36,263,455,166,196,476,252,147,163,306,465,
318,150,383,288,399,330,128,378, 46,407,286,129)( 27,439,445,430,181,
432,247,433,159,438,467,428,137,427,291,421,313,436,379,420,401,440,
115,422, 49,429,269,437)( 32,153,449,298,179,322,260,389,156,416,484,
120,136, 53,297,267,327, 40,395,442,408,198,124,246, 59,165,284,481)
( 33,285,459, 34,197,454,254,191,168,262,477,164,152,471,296,135,317,
304,377,310,414,396,112,400, 66,121,268, 63)( 37,175,460,474,186,146,
251,301,157,328,480,384,134,405,308,113,312, 62,385,266,415, 44,131,
444, 56,187,278,261)( 41, 43,461,452,188,190,256,257,169,174,482,472,
142,141,295,289,311,326,392,376,398,418,132,114, 48, 55,275,283) ] ],
[ 5, 631688818022295862443120211997491200000000, 0, "4c",
[ [ 441, 1 ], [ 42, 1 ] ], 1, "Alt(22) wreath Sym(2)", [ "A", 22, 2 ],
[ ( 1,471,305,444,276,390,102,253,362,425,222, 65,199,475,415,462, 12,383,
300,246,274,434, 90, 55,353,469,239,461,210,387,410,264, 10,427,288,
48,265,478,107,451,364,381,234,263,208,431,398, 66)( 2, 53,287,466,
283,456,100,385,366,249,230,439,200, 57,397,484, 19,449,298,378,278,
258, 98,429,354, 51,221,483,217,453,408,396, 14,251,296,422,266, 60,
89,473,371,447,232,395,212,255,406,440)( 3,317,291,158,272, 82,108,
121,367,337,223,329,203,167,404, 88, 20,119,301,334,267,324, 93,165,
360, 73,240,131,213,343,399,330, 5,163,294, 70,284,126,103,341,355,
315,225,175,206, 79,416,132, 15,339,289,312,269,170, 96, 77,372,117,
235,351,201,321,401,176, 8, 75,306,114,279,346, 91,319,357,161,228,
87,218,123,411,352)( 4,273,302, 92,275,368, 95,231,373,205,233,417,
220, 13,405,308)( 6, 31,292, 26,270, 38, 94, 33,358, 29,226, 43,204,
35,402, 44)( 7,229,307,202,277,412,110, 11,361,293,224,285,214,101,
407,374)( 9,295,290,268,280,104, 99,363,359,227,241,219,211,409,418,
22)( 16, 97,297,356,271,236,109,209,365,403,242, 21,207,299,400,286)
( 17,141,303,136,281,148,105,143,369,139,237,153,215,145,413,154)
( 18,185,304,180,282,192,106,187,370,183,238,197,216,189,414,198)
( 23,468, 41,446, 34,380, 36,248, 32,424, 24, 50)( 25,314, 27,160, 30,
72, 42,116, 37,336)( 39,138)( 40,182)( 45,463,481,459,452,386,388,
256,252,428,420, 46)( 47,309,467,173,448, 78,394,124,257,340,421,310,
49,155,470, 85,460,122,389,344,245,318,423,156, 52, 67,482,129,455,
342,377,322,247,164,426, 68, 64,111,477,349,443,320,379,168,250, 76,
438,112, 59,331,465,327,445,166,382, 80,262,120,433,332)
( 54,419,464, 63,441,474,393,454,254,384,432,244)( 56,375,476,261,450,
430,376, 58,243,472,437,442)( 61,133,479,151,457,144,391,146,259,142,
435,134)( 62,177,480,195,458,188,392,190,260,186,436,178)
( 69,328,115,169,338)( 71,174,118, 81,350,113,323,335,157,316)
( 74, 86,130,125,345,333,311,313,159,162)( 83,152,127,147,347,135,325,
137,171,140)( 84,196,128,191,348,179,326,181,172,184)(150,193),
( 1,476,158,277,402, 25,319,362,430,375,481,444,281,138, 27,231,373,
210,392,195,462, 17,146,159,233,417,201,326,186,440)( 2, 58,156, 57,
398, 47,310, 54,420, 45,464, 48,266, 50, 24, 55,354, 56,376, 63,442,
61,134, 49,222, 65,200, 62,178, 66)( 3,322,164,431,397,465,312,274,
424, 23,473,356,276,380, 41,451,369,144,379,239,461,215,150,181,242,
21,212,172,189,418)( 4,278,160, 35,407,355,320,384,437,441,479,136,
269,226, 43,209,370,188,396, 19,454,171,145,401,223,329,208,436,177,
484)( 5,234,175,211,414,179,330, 10,432,155,475,400,267,314, 32,429,
353,474,378,283,446, 39,143,357,232,395,217,458,193,154)
( 6, 36,165,365,408,377,327,450,435,133,467,224,285,204, 40,187,374,
12,388,173,453,413,135,313,230,439,199,480,180,286)( 7,256,169,343,
404, 69,315,252,433,331,470, 70,271,248, 37,341,360, 78,381,261,455,
347,140, 71,227,263,213,348,184, 88)( 8, 80,161,255,411,333,316, 76,
425,243,477,334,272, 72, 29,253,367,342,382, 85,447,259,147,335,228,
87,205,260,191,352)( 9,300,163,299,405,289,317,296,427,287,471,290,
273,292, 31,297,361,298,383,305,449,303,141,291,229,307,207,304,185,
308)( 11,366,166,387,415,443,325,142,423,221,483,202,282,182, 44)
( 13,410,157,321,406,421,309,472,422,265,468, 26,275,358, 34,385,371,
452,391,151,445,237,153,203,238,197,220, 18,190,176)( 14,168,167,409,
399,311,318,428,419,463,466,268,270, 28, 33,363,364,386,393,459,457,
149,137,225,241,219,216,194,198, 22)( 15,344,162, 79,403,245,323,340,
426, 67,469,246,279,336, 30, 77,359,254,389,349,448, 83,139,247,235,
351,206, 84,183,264)( 16,102,170,101,412, 91,324, 98,434, 89,478, 92,
280, 94, 38, 99,368,100,390,107,456,105,148, 93,236,109,214,106,192,
110)( 20,124,174,123,416,113,328,120,438,111,482,114,284,116, 42,121,
372,122,394,129,460,127,152,115,240,131,218,128,196,132)
( 51,244, 59,332, 52, 68)( 53,288)( 60, 90)( 64,112)( 73,249,257,345,
338, 74)( 75,293,251,301,339,294)( 81,337,250)( 82, 95,258,103,346,
96)( 86,117,262,125,350,118)( 97,302)(108,126)(119,306) ] ],
[ 6, 1263377636044591724886240423994982400000000, 0, "4c",
[ [ 441, 1 ], [ 42, 1 ] ], 1, "Alt(22)^2.2^2", [ "A", 22, 2 ],
[ ( 1,313,131,155,181, 43,441, 5,329,111,159,197, 23,445, 21,309,115,175,
177, 27,461)( 2,321,122,170,186, 28,458, 15,327,113,171,196, 44,444,
9,315,121,162,178, 35,452, 16,318,116,172,191, 41,443, 17,328,132,
158,185, 29,451, 8,310,123,166,192, 32,446, 18,323,129,157,193, 42,
462, 4,317,117,165,184, 24,453, 12,324,120,160,194, 37,459, 3,325,
130,176,180, 31,447, 11,316,112,167,188, 38,450, 6,326,125,173,179,
39,460, 22,312,119,161,187, 30,442, 13,320,126,164,182, 40,455, 19,
311,127,174,198, 26,449, 7,319,118,156,189, 34,456, 10,314,128,169,
195, 25,457, 20,330,114,163,183, 33,448)( 14,322,124,168,190, 36,454)
( 45,335, 87,419,291,395,353,401,153,221, 49,351, 67,423,307,375,357,
417,133,225, 65,331, 71,439,287,379,373,397,137,241)( 46,343, 78,434,
296,380,370,411,151,223, 61,350, 88,422,295,381,363,404,134,233, 56,
346, 76,424,304,389,371,399,149,240, 66,334, 75,425,297,382,354,409,
144,236, 54,336, 84,433,305,377,369,416,154,224, 53,337, 77,426,288,
387,364,412,142,226, 62,345, 85,421,303,394,374,400,141,227, 55,338,
68,431,298,390,362,402,150,235, 63,333, 83,438,308,378,361,403,143,
228)( 47,347, 86,440,290,383,359,407,140,222, 57,342, 82,428,292,392,
367,415,135,237, 64,352, 70,427,293,385,360,398,145,232, 60,340, 72,
436,301,393,355,413,152,242, 48,339, 73,429,294,376,365,408,148,230,
50,348, 81,437,289,391,372,418,136,229, 51,341, 74,420,299,386,368,
406,138,238, 59,349, 69,435,306,396,356,405,139,231, 52,332, 79,430,
302,384,358,414,147,239)( 58,344, 80,432,300,388,366,410,146,234)
( 89,269,483)( 90,277,474,104,274,468,106,279,481, 91,281,482,110,268,
471, 95,275,470)( 92,273,469, 99,272,464,101,276,478, 98,270,480,103,
283,465,105,284,484)( 93,285,463)( 94,282,477,107,267,479,108,286,
466, 97,271,473, 96,266,475,100,280,472)(102,278,476)(109,265,467)
(199,203,219)(200,211,210,214,208,204,216,213,217,201,215,218,220,202,
207,205,209,206)(243,247,263)(244,255,254,258,252,248,260,257,261,
245,259,262,264,246,251,249,253,250),
( 1,102,298,347,422,189,264, 77,173, 52, 37,416,468,376,280,219, 9,
146,296,127,425,233,245,363,172,316, 27,460,463, 90,276,351, 4,190,
308, 83,437, 57,257,407,160,382, 38,218,471,134,274,131, 7,234,289,
369,436,321,247,451,155, 96, 34,350,466,178,286, 87, 19, 58,301,413,
424,387,258,209,163,140, 32,130,469,222,267,373, 18,322,291,457,419,
101,254,341,158,184, 44, 86,481, 46,279,417, 6,388,302,215,427,145,
252,121,161,228, 25,372,480,310,269,461)( 2,278,307, 17,432,299,259,
429,167,250, 33,174,470, 24,284,483)( 3,366,304,325,423,453,243, 99,
166,338, 26,196,484, 68,283, 65, 15,410,292,391,434,211,251,143,164,
118, 29,240,465,354,282,329, 5,454,287,105,430,343,246,187,176, 74,
41, 64,477,398,270,395, 16,212,295,149,428,123,249,231,157,360, 40,
328,467,442,265,109, 12,344,290,193,440, 79,261, 55,169,404, 28,394,
478,200,273,153, 10,124,293,237,421,365,260,319,159,448, 23,108,474,
332,268,197, 22, 80,305, 61,433,409,248,385,170,206, 31,152,472,112,
271,241)( 8, 36,306,479,420,277,263, 11,168,294, 39,438,475,244,275,
175)( 13,256,297,171,426, 35,262,473,156,272, 43, 20,476,288,281,439)
( 14,300,303,435,431,255,253,165,162, 30, 42,482,464,266,285, 21)
( 45,103,408,336,378,192,220, 75,151, 54,125,403,226,377,368,216,317,
137,450,111, 95,232,333,356,194,330, 71,459)( 47,367,414,314,379,456,
199, 97,144,340,114,183,242, 69,371, 62,323,401,446,375,104,210,339,
136,186,132, 73,239)( 48,191,418, 72,393, 60,213,405,138,384,126,205,
229,135,362,128,315,225,443,353,106,320,335,444,177,110, 78,349)
( 49,455,397, 94,386,346,202,185,154, 76,129, 51,235,399,358,392,324,
203,449,133, 98,122,337,224,179,374, 84,327)( 50,389,412,204,383,148,
208,119,139,230,113,359,238,311,357,458,309, 93,452,331, 92,188,352,
70,195, 66, 81,415)( 53,147,406,116,381,236,201,361,150,318,115,447,
221, 91,364,348,312,181,462, 67,107, 56,345,400,182,396, 82,217)
( 59,411,402,380,390,214,207,141,142,120,117,227,223,355,370,326,313,
445,441, 89,100,342,334,180,198, 88, 85, 63) ] ],
[ 7, 1263377636044591724886240423994982400000000, 0, "4c",
[ [ 441, 1 ], [ 42, 1 ] ], 1, "Alt(22)^2.4", [ "A", 22, 2 ],
[ ( 1,154, 3,144, 5,141, 17,152, 18,147, 13,153, 8,138, 4,142, 16,139,
11,133, 22,135, 12,137, 9,149, 20,150, 15,145, 21,140, 6,136, 10,
148, 7,143)( 2,151, 14,134, 19,146)( 23,132,223,100,203, 53,281,
394,172,301,321,417,184,468, 70,428,368,337,253,441, 44,113,232, 93,
207, 61,284,392,169,299,329,404,182,466, 76,434,359,341,243,462, 25,
122,225, 97,215, 64,282,389,167,307,316,402,180,472, 82,425,363,331,
264,443, 34,115,229,105,218, 62,279,387,175,294,314,400,186,478, 73,
429,353,352,245,452, 27,119,237,108,216, 59,277,395,162,292,312,406,
192,469, 77,419,374,333,254,445, 31,127,240,106,213, 57,285,382,160,
290,318,412,183,473, 67,440,355,342,247,449, 39,130,238,103,211, 65,
272,380,158,296,324,403,187,463, 88,421,364,335,251,457, 42,128,235,
101,219, 52,270,378,164,302,315,407,177,484, 69,430,357,339,259,460,
40,125,233,109,206, 50,268,384,170,293,319,397,198,465, 78,423,361,
347,262,458, 37,123,241, 96,204, 48,274,390,161,297,309,418,179,474,
71,427,369,350,260,455, 35,131,228, 94,202, 54,280,381,165,287,330,
399,188,467, 75,435,372,348,257,453, 43,118,226, 92,208, 60,271,385,
155,308,311,408,181,471, 83,438,370,345,255,461, 30,116,224, 98,214,
51,275,375,176,289,320,401,185,479, 86,436,367,343,263,448, 28,114,
230,104,205, 55,265,396,157,298,313,405,193,482, 84,433,365,351,250,
446, 26,120,236, 95,209, 45,286,377,166,291,317,413,196,480, 81,431,
373,338,248,444, 32,126,227, 99,199, 66,267,386,159,295,325,416,194,
477, 79,439,360,336,246,450, 38,117,231, 89,220, 47,276,379,163,303,
328,414,191,475, 87,426,358,334,252,456, 29,121,221,110,201, 56,269,
383,171,306,326,411,189,483, 74,424,356,340,258,447, 33,111,242, 91,
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440, 62,476, 27,315,284,393,295,368,149,200,400,230,182, 67,175,433,
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472,181,309,174,389,339,365,457,201,246,242, 50, 80, 43,425,282,481,
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322, 42,381,273,371,303,214,136,222,402, 76,197,419,172,477,335,321,
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(144,395,489)(145,361,456)(146,255,211)(147,337,243)(151,476,467)
(153,482,371)(154,175,491)(156,247,224)(157,459,192)(164,246,362)
(169,343,387)(170,339,269)(173,390,327)(174,279,334)(176,424,188)
(178,220,428)(179,329,323)(180,375,308)(183,455,335)(184,472,274)
(185,191,242)(186,409,399)(187,198,262)(190,199,386)(196,360,473)
(205,213,248)(208,447,235)(212,306,393)(214,270,328)(215,485,397)
(219,253,317)(226,381,282)(254,493,271)(257,321,488)(261,487,336)
(263,446,307)(265,392,477)(268,351,458)(272,416,383)(280,315,389)
(283,289,365)(284,313,402)(285,350,413)(288,318,453)(295,370,400)
(299,398,464)(303,320,432)(304,460,333)(305,444,426)(309,463,344)
(341,352,423)(364,437,441)(367,378,401)(412,443,494)(449,484,461) ] ],
[ 6, 190080, 0, "2",
[ [ 24, 1 ], [ 16, 1 ], [ 192, 1 ], [ 6, 1 ], [ 96, 2 ], [ 64, 1 ] ], 1,
"M_12.2", [ "Spor", "M(12)", 1 ],
[ ( 1, 65)( 2,390)( 3,121)( 4,303)( 5,353)( 6,179)( 7,422)( 8, 61)
( 9,161)( 10,446)( 11,209)( 12, 42)( 13, 14)( 15,310)( 16,348)
( 17,118)( 18,116)( 19,472)( 20,170)( 21,375)( 22, 24)( 23,296)
( 25,477)( 26,257)( 27,305)( 29,337)( 30,407)( 31,433)( 32, 99)
( 33,467)( 34,208)( 35,119)( 36,137)( 37,362)( 38,453)( 39, 95)
( 40, 43)( 41,230)( 44,235)( 45,229)( 46,200)( 47,267)( 48,242)
( 49,171)( 50,365)( 51,288)( 52,437)( 53,222)( 54,155)( 55,181)
( 56, 92)( 57,335)( 58,468)( 59,464)( 60,330)( 62, 63)( 64,469)
( 66,272)( 67,366)( 68,319)( 69,445)( 70,145)( 71,253)( 72,139)
( 73,231)( 74,411)( 75, 82)( 76, 98)( 77,146)( 78,313)( 79,480)
( 80,360)( 81,331)( 83,148)( 84,289)( 85,473)( 86,393)( 87,386)
( 88,283)( 89,227)( 90,326)( 91,338)( 93,194)( 94,100)( 96,275)
( 97,430)(101,347)(102,271)(103,329)(104,180)(105,392)(106,436)
(107,115)(108,176)(109,344)(110,491)(111,297)(112,429)(113,254)
(114,198)(117,199)(120,193)(122,426)(123,132)(124,240)(125,141)
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(286,302)(287,389)(290,382)(291,383)(295,346)(298,379)(299,485)
(301,419)(306,493)(308,309)(311,367)(314,327)(324,333)(325,402)
(336,408)(340,440)(341,412)(342,463)(343,431)(345,377)(350,458)
(351,438)(355,424)(356,452)(359,450)(364,459)(368,378)(371,401)
(372,489)(373,404)(384,415)(385,394)(387,405)(396,470)(400,479)
(403,482)(406,448)(409,476)(410,441)(413,455)(416,471)(420,449)
(421,483)(427,478)(428,439)(432,466)(442,454)(488,490),
( 1,131, 71)( 2,367, 84)( 3,203,244)( 4,233, 56)( 5,117,461)
( 6,450,249)( 7,354,434)( 8,380,415)( 9,330,294)( 10,454,210)
( 11, 78,449)( 12, 63, 95)( 13,396,112)( 14,247,383)( 15,351, 48)
( 16,468,357)( 17, 42,108)( 18,266,455)( 19, 87,444)( 20,290,336)
( 21, 38,359)( 22,459,256)( 23,281,370)( 24,382,160)( 25,371,158)
( 26,369,148)( 27,118, 59)( 28,420,113)( 29,181,405)( 30, 44, 39)
( 31,310,493)( 32,125,163)( 33,213,414)( 34,198,409)( 35,115, 66)
( 36,135,261)( 37,373,399)( 40,314,147)( 41,288, 70)( 43,107,208)
( 45, 82,492)( 46,428,173)( 47,136, 93)( 49,344,325)( 50,477, 88)
( 51,130,451)( 52,124,321)( 53,111,212)( 54,313,138)( 55,171,427)
( 57,460,184)( 58,446,381)( 60,255,215)( 61,300,338)( 62,191,303)
( 64,475,218)( 65,356,229)( 67,445,347)( 68, 72,332)( 69,360,276)
( 73,123,162)( 74,241,132)( 75,385,110)( 76,156,161)( 77,387,170)
( 79,452,402)( 80,234,144)( 81,401,293)( 83,323,145)( 85,292,230)
( 86,363,126)( 89,411,248)( 90,197,346)( 91,267,495)( 92,308,486)
( 94,485,246)( 96,378,470)( 97,479,392)( 98,376,462)( 99,174,177)
(100,334,389)(101,120,319)(102,453,150)(103,406,262)(104,410,438)
(105,429,327)(106,221,315)(109,331,366)(114,202,350)(116,152,277)
(119,291,259)(121,388,133)(122,467,404)(127,317,278)(128,448,157)
(129,180,231)(134,284,149)(137,342,355)(139,185,187)(140,436,286)
(141,226,142)(143,441,309)(146,488,489)(151,289,166)(153,422,304)
(154,296,394)(155,403,236)(159,425,326)(164,301,242)(165,458,245)
(167,408,487)(168,257,439)(169,285,328)(172,252,305)(175,219,222)
(176,349,311)(178,391,179)(182,481,471)(183,340,193)(186,364,343)
(188,324,377)(189,418,484)(190,238,374)(192,272,352)(194,456,447)
(195,268,407)(196,253,358)(199,426,312)(200,491,302)(201,224,339)
(204,469,419)(205,393,375)(206,417,473)(207,494,348)(209,437,265)
(211,307,216)(214,263,283)(217,478,431)(220,280,361)(223,306,435)
(225,482,490)(227,465,251)(228,250,464)(232,295,322)(235,279,480)
(237,372,442)(239,260,365)(240,254,443)(243,379,386)(258,287,397)
(264,270,297)(269,476,353)(271,421,333)(273,318,433)(274,472,316)
(275,335,384)(282,413,341)(298,299,400)(320,463,368)(329,483,390)
(337,398,424)(345,416,432)(362,395,474)(412,457,440)(423,466,430) ] ],
[ 7, 239500800, 1, "2", [ [ 168, 1 ], [ 70, 1 ], [ 224, 1 ], [ 32, 1 ] ], 1,
"Alt(12)", [ "A", 12, 1 ],
[ ( 1, 2, 4, 7, 11, 16, 24, 36, 55, 82)( 3, 5, 8, 13, 20, 29, 44, 66,
98,143)( 6, 10, 14, 21, 31, 47, 71,106,144,206)( 9, 15, 23, 34, 51,
77,114,166,228,292)( 12, 18, 27, 41, 62, 92,133,193,257,325)
( 17, 25, 38, 58, 86,125,181,246,313,197)( 19, 28, 42, 63, 93,135,194,
258,326,388)( 22, 33, 49, 73,109,158,221,283,346,409)
( 26, 40, 61, 91,126,183,129,188,252,262)( 30, 46, 69,103,151, 59, 88,
128,186,248)( 32, 48, 72,107,154,217,170,234,299,363)
( 35, 53, 80,119, 90,131,190,254,320,383)( 37, 56, 83,122,176,240,304,
291,215,281)( 39, 60, 89,130,189,253,319,382,439,476)
( 43, 65, 96,140,165,227,290,352, 94,137)( 45, 68,101,148,212,279,343,
406,455,486)( 50, 75,112,163,224,288,351,415,464,423)
( 52, 78,116,169,232,296,358,187,250,316)( 54, 81,120,173,132,192,255,
322,364,424)( 57, 85,123,178,243,309,368,353,152,214)
( 64, 95,138,198,263,329,391,446,481,483)( 67,100,146,209,241,306,370,
428,469,219)( 70,104,153,115,167,229,293,354,371,430)
( 74,110,160,223,286,349,413,462,315,201)( 76,113,164,225,289,328,390,
445,480,467)( 79,118,172,236,297,360,419,251,317,380)
( 84,124,180,245,311,377,182, 87,127,185)( 97,141,202,268,333,277,341,
376,436,474)( 99,145,208,274,338,402,451,305,369,161)
(102,149,213,280,344,407,456,429,157,220)(105,155,218,168,231,294,356,
416,431,471)(108,156,150,159,222,284,347,410,459,470)
(111,162,147,211,278,312,378,437,249,267)(117,171,235,300,365,425,355,
417,433,473)(121,175,238,203,270)(134,195,260,327,389,444,465,493,
387,443)(136,196,261,230,295,357,418,438,475,318)(139,199,264,330,
339,374,434,472,303,367)(142,204,271,334,397,210,276,340,403,452)
(174,237,301,366,426,468,411,460,489,494)(177,242,307,372,396,287,350,
414,463,492)(179,244,310,375,435,259,233,298,362,422)
(184,247,191,256,324,386,442,479,359,420)(200,266,331,393,275,308,373,
432,239,302)(205,272,336,400,449,314,379,265,332,395)
(207,273,337,401,450,482,440,477,398,448)(216,282,345,408,458,488,457,
487,427,226)(269,335,399,285,348,412,461,490,491,381)
(321,384,441,478,394,447,342,405,454,485)(323,385,361,421,466)
(392,404,453,484,495), ( 1, 3, 6)( 5, 9, 10)( 7, 12, 19)
( 8, 14, 22)( 11, 17, 26)( 13, 21, 32)( 18, 28, 43)( 20, 30, 31)
( 23, 35, 54)( 24, 37, 57)( 25, 39, 40)( 27, 42, 64)( 29, 45, 47)
( 33, 50, 76)( 34, 52, 79)( 38, 59, 61)( 41, 63, 94)( 44, 67, 71)
( 46, 70,105)( 49, 74,111)( 53, 81,121)( 56, 84, 85)( 58, 87, 91)
( 60, 90,132)( 62, 93,136)( 65, 97,142)( 66, 99,106)( 68,102,150)
( 72,108,157)( 75,113,165)( 77,115,168)( 78,117,118)( 80,120,174)
( 83,123,179)( 86,126,184)( 88,129,181)( 92,134,135)( 95,139,200)
( 98,144,207)(100,147,160)(103,152,215)(104,154,155)(109,159,149)
(110,161,162)(112,164,226)(116,170,172)(119,173,151)(122,177,178)
(125,182,183)(128,187,251)(131,191,192)(133,194,259)(137,197,262)
(140,201,267)(141,203,204)(143,205,206)(146,210,277)(153,216,218)
(156,219,220)(163,225,217)(167,230,231)(169,233,236)(171,224,289)
(175,239,303)(176,241,243)(186,249,315)(188,246,314)(190,255,323)
(193,258,234)(199,265,266)(202,269,271)(209,275,339)(211,223,287)
(213,222,285)(214,281,237)(227,291,353)(229,294,253)(232,297,361)
(240,305,309)(242,308,374)(245,312,349)(250,317,381)(252,318,313)
(254,321,322)(257,326,384)(260,328,288)(264,331,394)(268,334,398)
(270,316,380)(276,341,404)(278,342,286)(280,329,284)(293,355,356)
(296,359,360)(299,364,320)(302,352,367)(304,368,427)(306,371,431)
(310,376,340)(325,387,388)(330,392,393)(333,396,397)(344,347,411)
(351,390,386)(354,416,451)(358,419,449)(363,423,467)(370,429,470)
(373,433,434)(378,438,413)(383,440,424)(403,436,439)(407,457,410)
(415,465,445)(430,471,486)(432,472,494)(437,462,491)(452,483,474)
(455,456,459)(464,480,482) ] ],
[ 8, 479001600, 0, "2", [ [ 168, 1 ], [ 70, 1 ], [ 224, 1 ], [ 32, 1 ] ], 1,
"Sym(12)", [ "A", 12, 1 ],
[ ( 1, 2, 4, 7, 10, 15, 23, 33, 45, 59, 76, 98)( 3, 6, 9, 14, 21, 30,
42, 55, 72, 92,121,156)( 5, 8, 12, 18, 26, 37, 49, 65, 84,110,143,
178)( 11, 17, 25, 36, 48, 64, 82,108,140,175,216,257)
( 13, 20, 29, 40, 53, 69)( 16, 24, 34, 46, 61, 78,102,132,165,204,244,
286)( 19, 28, 39, 52, 68, 89,116,151,187,225,258,303)
( 22, 32, 44, 58, 75, 97,127,138,173,213,254,299)( 27, 38, 50, 66, 86,
112,101,131,164,203,243,284)( 31, 43, 56, 73, 94,123,157,195,205,245,
287,325)( 35, 47, 62, 80,104,135,169,208,249,292,331,365)
( 41, 54, 70, 90,118,152,145,181,219,261,285,117)( 51, 67, 87,114,147,
134,168,207,248,291,329,363)( 57, 74, 95,125,159,196,234,250,293,332,
366,394)( 60, 77,100,129,163,201,240,269,310,346,379,305)
( 63, 81,106,137,172,212,253,297,336,371,399,424)( 71, 91,119,154,190,
183,222,264,306,330,364,392)( 79,103,133,166,206,246,288,326,347,380,
407,130)( 83,109,142,176,210,153,189,227,268,309,345,361)
( 85,111,144,179,217,241)( 88,115,149,185,171,211,252,296,335,369,397,
421)( 93,122,148,184,202,242,283,324,359,390,417,260)
( 96,126,161,198,237,279,298,337,372,400,425,443)( 99,105,136,170,209,
251,294,333,367,395,408,128)(107,139,174,215,256,301,340,375,403,428,
446,462)(113,146,182,220,262,289,327,360,180,218,259,167)
(120,155,192,230,223,265,307,343,370,398,422,441)(124,158,191,229,247,
290,328,362,391,418,438,177)(141,160,197,236,277,295,334,368,396,420,
439,456)(150,186,224,214,255,300,339,374,402,427,445,461)
(162,200,239,282,322,341,376,404,429,447,463,472)(188,226,266,278,317,
228,270,311,348,381,393,419)(193,231,272,194,232,273,313,350,383,410,
431,449)(199,238,281,320,338,373,401,426,444,460,469,477)
(221,263,304)(233,274,314,351,384,411,432,450,464,344,378,406)
(235,276,271,312,349,382,409,423,442,458,267,308)(275,315,352,385,412,
433,451,465,473,481,486,490)(280,319,316,353,386,413,434,452,459,471,
479,484)(302,342,377,405,430,448,440,457,470,478,321,356)
(318,354,387,414,435,453,466,474,482,487,491,493)(323,358,355,388,415,
436,454,467,475,480,485,489)(357,389,416,437,455,468,476,483,488,492,
494,495), ( 1, 3)( 2, 5)( 7, 11)( 8, 13)( 10, 16)( 12, 19)
( 14, 22)( 18, 27)( 21, 31)( 24, 35)( 29, 41)( 38, 51)( 43, 57)
( 45, 60)( 47, 63)( 54, 71)( 61, 79)( 64, 83)( 65, 85)( 67, 88)
( 72, 93)( 74, 96)( 76, 99)( 77,101)( 80,105)( 81,107)( 86,113)
( 89,117)( 91,120)( 94,124)( 97,128)(100,130)(102,122)(103,134)
(106,138)(108,141)(109,110)(111,145)(114,148)(115,150)(118,153)
(121,149)(125,160)(126,162)(133,167)(135,158)(136,171)(142,177)
(144,180)(146,183)(151,188)(154,191)(155,193)(156,194)(157,192)
(161,199)(163,202)(165,205)(170,210)(172,197)(173,214)(175,213)
(182,221)(184,223)(189,228)(195,233)(196,235)(201,241)(203,204)
(206,247)(208,250)(215,238)(216,258)(218,260)(226,267)(227,269)
(229,271)(234,275)(236,278)(237,280)(243,285)(246,289)(248,249)
(251,295)(253,298)(257,302)(263,305)(277,316)(279,318)(281,321)
(282,323)(291,330)(294,324)(296,297)(299,338)(301,341)(308,344)
(310,347)(320,355)(322,357)(327,361)(335,370)(339,340)(350,374)
(359,391)(364,393)(380,408)(383,411)(398,423)(418,439)(419,440)
(432,451)(442,459)(456,469)(465,474)(470,479)(471,480)(481,484)
(482,488)(487,489) ] ],
[9, Factorial(495)/2,1,"2",[[494,1]],493, "Alt(495)", ["A",495, 1], "Alt"],
[10, Factorial(495),0,"2",[[494, 1]],495, "Sym(495)", ["A",495, 1], "Sym"]];
PRIMGRP[496]:=
[[ 1, 14880, 1, "2", [ [ 30, 9 ], [ 15, 15 ] ], 1, "PSL(2, 31)",
[ "L", [ 2, 31 ], 1 ],
[ ( 1,477,186,338)( 2, 50,150,345)( 3,294,248,223)( 4,421,472,250)
( 5,192, 6, 35)( 7,437,137,344)( 8,162,230,457)( 9, 51,242,237)
( 10,259,361,420)( 11,251,428,216)( 12,220,121,255)( 13,435,416,331)
( 14,265,112,373)( 15,119,442,284)( 16,232,285,157)( 17,469, 61,231)
( 18,295)( 19,108,155,132)( 20,235, 70,144)( 21,139,468,333)
( 22, 78,253,138)( 23,387,215,254)( 24,168,247,432)( 25,397,298, 86)
( 26,485,482,398)( 27,475,148,316)( 28,406,433,110)( 29, 56,332,467)
( 30, 46,227, 74)( 31,238,339,174)( 32,337,102,312)( 33,211,258,449)
( 34,203,479, 55)( 36,379,412,206)( 37,399,171,278)( 38,471,413, 95)
( 39,131,327,201)( 40,328)( 41, 82,130,136)( 42, 43,408,305)
( 44,262,461,474)( 45,494,125,213)( 47,310,289,458)( 48,128, 73,309)
( 49,225,365,164)( 52,451, 96,172)( 53,140,487, 89)( 54,272, 65,495)
( 57,177, 99, 94)( 58,107,362,288)( 59,142,492,353)( 60,314,320,383)
( 62,280,229,240)( 63,167,103,401)( 64,419,290,348)( 66,429,448,366)
( 67,281,166,120)( 68,218,465,274)( 69,189,191,409)( 71,394,478,181)
( 72,118,444,264)( 75, 79,219,217)( 76,202, 98,374)( 77, 93,460,434)
( 80,124,418,391)( 81,431,380, 87)( 83,293,156,341)( 84,221,287,190)
( 85,392,226,141)( 88,129,411,329)( 90,352,357,292)( 91,283,381,384)
( 92,145,400,161)( 97,106,143,104)(100,414,279,282)(101,370)(105,175)
(109,377,396,417)(111,188,318,349)(113,277,473,179)(114,445,234,154)
(115,205,452,241)(116,243,296,441)(117,300,496,439)(122,476,268,244)
(123,455,257,430)(126,488,335,484)(127,263)(133,195,342,334)
(134,360,347,486)(135,447,249,198)(146,170,245,306)(147,371,269,340)
(149,165,273,386)(151,204,301,236)(152,315,197,423)(153,443,271,212)
(158,323,459,275)(159,372,196,453)(160,343,194,450)(163,308)
(169,200,180,378)(173,355,382,375)(176,246,427,209)(178,184,304,483)
(182,390,403,325)(183,224,267,363)(185,228,321,311)(187,199,454,210)
(193,260,368,364)(207,303,388,493)(208,405,491,350)(214,256,297,464)
(222,425,359,307)(233,266,276,446)(239,410)(252,424,440,389)(261,324)
(270,385,490,313)(286,358,317,481)(291,426,326,463)(299,393,356,404)
(302,346,456,407)(319,489,462,369)(322,466,376,336)(330,351,422,415)
(354,395,402,367)(436,470,438,480),
( 1,293, 60,105,286,206,478, 12,253,138,207,337,145,358,263)
( 2,471,333,183, 97,192,275,467, 20,281,210,357,468,282,356)
( 3,326,424, 68, 98,373,319,240,191,374,222, 80,449, 42, 56)
( 4,229,121,383,211,494,440,412,400,104,228,120,477,388,404)
( 5,312,280,456,322, 50, 83, 67,296, 15,418,102,106,173, 53)
( 6,398,273,124,406,462,231, 19,150,237,454,208,431,426,230)
( 7,259,274,125, 69,154,372, 43,472,144, 54,249,414,185,224)
( 8,190,122,419,153,242, 30,360,142,247,433, 77,151,113,172)
( 9, 90,305,325,362, 51,112,409,382,376,162,294,267,395,480)
( 10,174,251,277,129,198,328,300,486,435, 65, 49,377, 64,103)
( 11, 94, 85, 75, 27,396,450,203,439,318,444,232,257,201,128)
( 13,205,189,233,100,411,415,218,385,408,483, 63, 70,384,363)
( 14,159,368,163,470,323,361,136,245,487,307,445,246, 66,335)
( 16,219, 84,187, 36,160,118,271,291,320,226,417, 74,345,493)
( 17,389,270,302,170, 87,393,266,390,308,350,166,313,147,429)
( 18,298,241,332, 88,397,261,331, 21,401,474,461,178,202,330)
( 22,215,175,194,141,481,254,317, 57,430,127, 23, 78, 55,157)
( 24,438,126, 52,378,287,336,442,227,334, 93,140, 58,212,256)
( 25,473,214,290,324,295,236,133,268, 86, 44,347,200, 59,262)
( 26, 32,491,364,289,149,181, 81,171,423, 61,341,108,130,209)
( 28,119,407,465,459,457,488,371,279,413,110, 89,243,235,359)
( 29,196, 82,260,114, 76,137,278,427,420,139,447, 47,152,495)
( 31,193,155,161,285,164,315,482,338,123, 40,399,405,303, 99)
( 33,156,369,484,402,299, 71,463,107,340,252,394,199,436,403)
( 34,379,469,310,238,392,255,165,176,410,343,314,380, 41,365)
( 35,460,117,455, 92,391, 96,428,479,220,489,432,327,177,186)
( 37,135,292,288,306,197,344,248,284,370,458,272, 38,466,366)
( 39,225,453,422,353, 72,239,234,452,244,217,339,437,184,204)
( 45,381,250,367,346,421,490,321,116,355,213,276,311,269,182)
( 46,223,115,134,148,451,425,167,476,188,434, 95,416,348,475)
( 48,301,351,265,443,349,179,304,352,221,309,492,329,158,168)
( 62,485,146,354, 91,143,132,448,375,283,258,386,101,441,446)
( 73,169,496,216,464,111,195, 79,264,180,316,342,109,131,297) ] ],
[ 2, 29760, 0, "2", [ [ 60, 1 ], [ 30, 14 ], [ 15, 1 ] ], 1, "PGL(2, 31)",
[ "L", [ 2, 31 ], 1 ],
[ ( 1, 2, 6, 29,126,381,175,147,305,251,445,250,387,269,370,422,488,485,
194,182,256,427,231, 56,207,359,493, 26,117,376)( 3, 12, 57,237,174,
335,278,484,206,106,196,344,353,431, 78,105,356,303,221,270, 55,228,
28,124,382,388,317,101,348,365)( 4, 11, 54,224,232,400,275,304,100,
346,345,176, 67,268,132,394, 24,108,364,438,322,390, 86,107,285,455,
276,483, 46,191)( 5, 23,104,299,432,471,465,478,286, 51, 42,160,418,
404,430, 33,146,145, 37,164,439, 17, 81,171,446, 75,165,323,358,313)
( 7, 35,156,149,315,155,210,211, 98,343,255, 61, 53,219,144,184,318,
38, 62,254,311, 43,180,274,367,157,429,245, 85,300)( 8, 34,152,109,
328,395,177,452,292,131,125,372,111,163,377,187,110,204,195,139,405,
142, 20, 88,329, 66,248,434,474,319)( 9, 44,183,263,222,261,227, 21,
97,337, 80,133,279,148,415,118,368,352, 87, 10, 49,201,244, 72,283,
475,288,489,385,265)( 13, 63,257,193,137,121,362,168,271,486,326, 15,
71,282,437,220,476,459,440, 82,314,128,233,363,321,185, 74, 92,249,
116)( 14, 64,151,338,402,481,235,464,115,375,361, 84, 45,186,366,393,
349,297,162, 22,102,238, 77,234,197,399,454,114,208,379)
( 16, 76,296, 58,241,340,494,414,383, 83,178,378,463,260,460,467,236,
30,130,392, 19, 89,331,267,230,482,491,122,347,240)( 18, 52,213,325,
103,351,384,252, 50,205,451,239,457,421,212,330,425, 73,246,350,458,
47, 93,336,447,307, 91,284,216,301)( 25,113,302,127,386,433,214, 59,
170, 27,120,179, 65,264,413,453,154, 94,218,444, 69,277,480,316,217,
223,477,203,258,324)( 31,135,396,259,229,416,391,495,496,466,355,119,
40, 32,140,134,143,407,215,150,419,401,411,312,293,441,225,281,192,
428)( 36, 68,273,190,435,492,333,369, 99,243,290, 79,306,253, 60,159,
342,262,294, 41,173,449, 95,339,360,406,357,327,479,291)
( 39,167,442,461,371,468,153,424, 90,332,334, 48,198,462,398)
( 70, 96,341,166,266,247,298,280,410,423,199,295,200,456,181,161,436,
202,172,448,354,289,226,189,158,123,272,487,310,188)(112,308,443,287,
209,469,409,490,136,169,420,417,309,412,472,450,470,380,320,374,373,
129,389,138,403,408,397,242,426,141),
( 1, 3, 13)( 2, 7, 36)( 4, 18, 23)( 5, 24,109)( 6, 30,131)
( 8, 40,169)( 9, 45,187)( 10, 50,206)( 11, 19, 90)( 12, 58,128)
( 14, 67,269)( 15, 72, 87)( 16, 77,299)( 17, 79,307)( 20, 94,337)
( 21, 98,164)( 22,103,167)( 25,114,249)( 26,118,284)( 27,121, 89)
( 28,125,124)( 29,127,266)( 31,136,130)( 32,141,235)( 33,147,413)
( 34,153,356)( 35, 39,168)( 37,165,272)( 38,166,375)( 41,174,197)
( 42,177, 71)( 43,181,392)( 44, 68,274)( 46,192,417)( 47,194,236)
( 48, 53,220)( 49,202, 76)( 51,210,228)( 52,214,367)( 54,208,399)
( 55,229,443)( 56,233,105)( 57,144,394)( 59,143,409)( 60,248,351)
( 61,251,292)( 62, 93,157)( 63,178, 78)( 64,260,160)( 65,149,176)
( 69,106,360)( 70,226,478)( 73,288,493)( 74,291,327)( 75,155,222)
( 80,311,406)( 81,264,480)( 82,315,238)( 83,318,163)( 84,133,395)
( 85,312,408)( 86,234,445)( 88,115,170)( 91,335,113)( 92,150,420)
( 95,340,120)( 96,342,346)( 97,100,347)( 99,305,102)(101,349,341)
(104,353,414)(107,255,316)(108,216,425)(110,199,213)(111,370,156)
(112,258,355)(116,286,243)(117,119,380)(122,381,336)(123,368,348)
(126,268,270)(129,146,411)(132,217,352)(134,389,189)(135,397,447)
(137,400,319)(138,184,401)(139,365,468)(140,309,388)(142,191,440)
(145,361,489)(148,207,362)(151,343,193)(152,423,339)(154,298,198)
(158,314,330)(159,171,350)(161,437,345)(162,378,239)(172,302,256)
(173,281,373)(175,446,332)(179,322,283)(180,230,410)(182,317,390)
(183,218,474)(185,391,242)(186,323,415)(188,293,308)(190,456,195)
(196,246,386)(200,328,457)(201,463,247)(203,393,434)(204,364,430)
(205,329,306)(209,405,495)(211,471,382)(212,232,404)(215,472,261)
(219,231,357)(221,354,464)(223,383,435)(224,461,267)(225,374,333)
(227,396,426)(237,418,494)(240,479,460)(241,452,245)(244,484,384)
(250,387,295)(252,486,282)(253,483,304)(254,324,421)(257,310,301)
(259,412,462)(262,465,363)(263,467,276)(265,371,449)(271,280,285)
(273,278,453)(275,416,320)(277,488,313)(279,492,424)(287,297,407)
(289,455,290)(294,338,422)(296,481,325)(300,431,438)(303,475,487)
(321,454,433)(326,377,432)(331,459,477)(334,451,402)(344,369,379)
(358,441,403)(359,428,469)(366,448,429)(372,491,427)(376,385,476)
(398,436,444)(419,450,458)(439,485,442)(466,473,490)(470,482,496) ] ],
[ 3, 24815256521932800, 1, "2", [ [ 495, 1 ] ], 2, "PSp(10, 2)",
[ "B", [ 5, 2 ], 1 ],
[ ( 2, 4)( 9, 11)( 13, 15)( 14, 17)( 19, 25)( 23, 30)( 27, 35)( 29, 38)
( 45, 54)( 46, 48)( 52, 61)( 53, 60)( 56, 66)( 58, 68)( 59, 69)
( 65, 74)( 67, 77)( 71, 80)( 72, 81)( 73, 83)( 75, 87)( 79, 93)
( 85,101)( 91,108)( 95,113)( 96,115)( 97,105)( 98,118)( 99,112)
(100,121)(102,116)(103,126)(107,114)(111,136)(117,145)(120,149)
(125,155)(127,153)(131,163)(137,166)(147,182)(148,184)(151,189)
(152,191)(174,210)(176,213)(179,217)(185,190)(187,224)(193,231)
(194,211)(196,234)(201,240)(203,214)(204,243)(219,259)(221,262)
(229,271)(230,273)(233,276)(238,283)(239,284)(242,288)(245,292)
(248,295)(250,296)(256,301)(260,279)(261,307)(264,311)(267,314)
(269,316)(270,318)(272,285)(274,325)(275,291)(277,329)(281,333)
(289,342)(290,343)(294,348)(298,353)(300,355)(308,358)(309,324)
(310,366)(319,369)(323,379)(326,382)(332,387)(335,388)(336,346)
(344,384)(347,397)(352,400)(354,402)(356,404)(362,411)(367,416)
(368,417)(371,420)(372,422)(373,414)(383,430)(394,439)(405,448)
(407,418)(409,451)(421,459)(425,462)(431,442)(433,437)(469,481)
(470,483)(472,485)(473,486)(475,488)(478,489)(487,490)(495,496),
( 1, 2, 4, 6, 8, 10, 12, 9, 7, 5, 3)( 11, 13, 16, 21, 28, 37,
42, 32, 24, 18, 14)( 15, 19, 26, 34, 44, 53, 56, 47, 36, 27, 20)
( 17, 22, 29, 39, 49, 58, 60, 51, 41, 31, 23)( 25, 30, 40, 50, 59, 70,
71, 62, 52, 43, 33)( 35, 45, 38, 48, 57, 67, 69, 61, 65, 55, 46)
( 54, 63, 72, 82, 98,119,122,100, 84, 73, 64)( 66, 75, 88,105,129,161,
162,130,106, 89, 76)( 68, 78, 92,109,134,167,172,138,112, 94, 79)
( 74, 85, 81, 97,117,146,181,156,125,102, 86)( 77, 90,107,131,164,188,
150,120, 99, 83, 91)( 80, 95,114,141,175,212,216,178,144,116, 96)
( 87,103,127,159,199,238,239,200,160,128,104)( 93,110,135,168,205,245,
248,208,171,137,111)(101,123,153,193,232,275,277,233,194,154,124)
(108,132,165,203,242,289,291,244,204,166,133)(113,139,173,209,249,295,
298,252,211,174,140)(115,142,176,214,254,300,283,255,215,177,143)
(118,147,183,221,263,225,187,149,186,185,148)(121,151,190,180,145,179,
218,258,230,192,152)(126,157,197,236,281,334,335,282,237,198,158)
(136,169,206,246,293,347,349,294,247,207,170)(155,195,202,163,201,241,
287,332,280,235,196)(182,219,260,306,361,410,413,364,308,261,220)
(184,222,264,312,368,394,344,290,243,265,223)(189,226,268,231,274,326,
383,373,317,269,227)(191,228,270,319,375,424,427,378,322,272,229)
(210,250,213,253,299,354,333,348,352,297,251)(217,256,302,343,393,438,
450,407,358,303,257)(224,266,313,369,418,456,429,381,325,315,267)
(234,278,330,341,288,340,382,428,379,331,279)(240,285,338,366,415,384,
328,276,327,339,286)(259,304,359,408,401,353,397,442,409,360,305)
(262,309,365,414,387,417,380,324,273,323,310)(271,320,376,425,433,388,
355,403,426,377,321)(284,336,389,434,465,471,447,404,435,390,337)
(292,345,395,440,420,458,476,468,441,396,346)(296,350,398,443,469,482,
484,470,444,399,351)(301,356,405,432,386,329,385,431,449,406,357)
(307,362,311,367,316,372,318,374,423,412,363)(314,370,419,457,437,392,
342,391,436,421,371)(400,402,446,451,472,455,416,454,475,462,445)
(411,452,473,487,478,461,422,460,477,474,453)(430,463,479,490,480,467,
439,466,448,459,464)(481,486,492,495,494,489,483,488,493,491,485) ]
],
[ 4, 23499295948800, 1, "2", [ [ 255, 1 ], [ 240, 1 ] ], 1, "O+(10, 2)",
[ "D", [ 5, 2 ], 1 ],
[ ( 1,155,269, 38,449,106,207,154,153,486,242,432)( 2,475,338,167,131,238)
( 3,286,271,182)( 4,476,234,323,372,317, 10, 47,253, 85,463, 7)
( 5,289, 62,481,163,389, 78,404,191, 60,334, 20)( 6,392,117,262,467,
489, 35,108,414,377, 50,268)( 8,442,468,212,373,142)
( 9, 76,418,288,460,380,328,390, 23,396, 18,157)( 11,447,451,352,349,
322)( 12,241,426,448,266,190,236,314,265,103, 99,422)
( 13,306,410,494,256,134)( 14, 84,244,227,309,336)( 15,496,428, 95,
276,325, 43,304,223,440,403, 30)( 16,402, 32, 33,102, 66, 54,429,255,
72, 75,480)( 17,240,457, 25,202, 93, 28,275,220,235,405,203)
( 19,132,204,193,120,267)( 21,174,446,137,354, 77,307,251,221,366,454,
168)( 22,433,453,112,274,472,459,173,136,355,245, 48)
( 24,345, 34,248,178,469,109,357,200,483,471,270)( 26,319,335,277,348,
416,107,249,116,206, 58, 52)( 27,211, 41, 67,351, 64,421,124, 71,230,
91,187)( 29,110,291, 36,162,237, 96,330, 88, 98,312,456)
( 31,177,333, 51,374,303,424, 92, 86, 70,282,491)( 37,417, 61,188,278,
87,365,226,473,158, 49,300)( 39,165,263,247,208, 44,130,427,114,219,
474,368)( 40,485,394,464, 74,305,101,423,281,437,264, 94)
( 42,431,430,346,425, 97)( 45,192,308,458,171,487)( 46,229,138, 69,
68,216,284,293,140,121,296,239)( 53,419, 83,479,194,152,272,363,478,
105,141,385)( 55,461,218,186,228,181,379,196,343,279,344,386)
( 56,100,493,341,477,329,462,376,395,184,484,122)( 57,150,356,375,492,
420,273, 73,408, 79,224,495)( 59, 82,445,299,246,441)
( 63,215,225,199,143,378,450,261,166,384, 81,413)( 65,398,393,407,327,
435)( 80,125,292,466,123,488,382,170,409,315,470,350)( 89,232,339,214
)( 90,391,443,185,438,159,482,129,316,217,175,415)(104,397,310,210)
(111,401,320,222,439,113)(115,326,254,197,340,135)(118,146,128,321,
364,353,318,313,169,209,412,161)(119,290,383,370,465,260)
(126,294,444,362,332,283)(127,369,342,406,361,233,164,189,358,287,434,
213)(133,156,295,176)(139,399,388,172,250,231)(144,302,387,297,149,
301)(145,324,359,411,311,180)(147,179)(148,259,258,347,201,198)
(151,400)(160,490,371,360)(183,205,381)(195,367,257,337,280,243)
(252,452,285)(298,331),
( 1,323, 42,184,264,162,376,318,146,226,138,457,295, 12)
( 2,232,406, 68,178,492, 60)( 3, 49,304,263,282, 40,470)
( 4,291,488,196,105,369,407,284,425,200,494,120,108, 39)
( 5,413,174, 21,112, 61,313, 56,145,392,129,151, 13,248)
( 6,187,458,302, 63,380,386,144, 76,224,316,100,350,372)
( 7,169, 41,360,427,311,435)( 8, 52,228,491,237,286, 27,374,118,156,
341,229,253,299)( 9,271, 59,114,487,416,463,322,111, 36,347,395,207,
426)( 10,188,306,383,412,436,154, 55,161,296,382,121,317, 74)
( 11,475, 94,331,288,259,483,272,128,367, 83,197,221, 85)
( 14,287,289, 25, 58,358,373, 50,359,324, 29,399,484,481)
( 15,245,477,340,292,496,190,330,430,438,166,208,222,147)
( 16,277,460, 84,451,402,375)( 17, 79,390,180,444,167,408, 23,119,433,
490,469,216,385)( 18,133,384,342, 86,194,101,243, 87,158,175,235,439,
132)( 19, 37,325,281, 26,102,127,334,423,139,160,182,326,257)
( 20, 32,198,269, 71, 62,256,212,485,403,327,445,122,471)
( 22, 34,455,456,240,149,214,332,157,489,351,452,486,309)
( 24,274,163,315,143,270, 98)( 28,125,205,362,363,442,450, 67,371,368,
137,115,165,236)( 30,432,305,389,103,478, 80)( 31,465, 73, 46,297,
262,231,219,415,238,379, 70,431,361)( 33,387,441,300,247,418, 48,370,
202,123,312,345,230,337)( 35,495,446,204,378,479,320)
( 38,117,148,459,410,150,349)( 43,177,290,172,155,234,409,185,356,454,
343,220,107,314)( 44, 51,233,244,440,301,130)( 45,453,480,400,249,
405,472)( 47, 75,493,352,285,411,401)( 53,124, 72,201,461,417,134)
( 54,364,265,307,398,258,308,298, 89,181,242,420,206,106)
( 57,448, 81, 96,199, 93,466,329,246,280,333,353,468,193)
( 64,273,255,339,168,303,391,173,191,365, 69,183,140,449)
( 65, 95, 90,189,250,397,294,319,267,344,251,211,338,136)
( 66, 97,116,278,217,192,213,131,261,227,388,110,104,126)
( 77,321,328,275,467,195,437)( 78,346, 91,254,424,113,482,266,209,293,
186,357,464,176)( 82,210,215,283, 88,354,268)( 92,429,170,476,241,
179,135,152,393,394,381,474,428,109)( 99,462)(141,159,153,355,276,
171,279)(142,377,335,421,310,336,434)(164,419,443,366,404,225,239)
(203,396,473,218,260,252,348)(414,447) ] ],
[ 5, 46998591897600, 0, "2", [ [ 255, 1 ], [ 240, 1 ] ], 1, "PSO+(10, 2)",
[ "D", [ 5, 2 ], 1 ],
[ ( 1,123,183,203,428, 42,223, 95,132, 68,207,484,443, 89,135,108,426,324,
265,170,373,140,316,462)( 2,472,239,288,404,467,394, 78, 47,441,253,
177,306,476,358,251, 50,289, 44,448, 48, 84,375,206)( 3,154,296,196,
245, 54,139,304, 38,169,470,488,395,158,138,110,300,453,337,489,255,
376,339, 25)( 4,241,407)( 5,280,463,178,393,414,202, 88,199,234,
313,416,103,347,420,413,451,389,282,418,200, 79,305, 70)( 6,215,260)
( 7,434,254,333,384, 59,361, 20,396,190, 62,281,112,229,238,220, 34,
19,293,117,174,191,422,368)( 8,186,113, 45, 39,364,182, 36,454,250,
352,184,452,412,401,180,354,279,152,341,130,311,322, 98)
( 9,491, 37,331,133, 69,437,314,278,370,406, 10)( 11,209,312,257, 65,
423,460,259)( 12,268,118,421, 93,243,124,188,142,356, 80,149,116,496,
456, 99,392,359, 67,155,442,269,409,411)( 13,298,228,218,252,363,468,
478,141,151,197,256,205,447,114, 83,267,479,244,343,307,222,126,326)
( 14,194,105,344,193, 21,419,263)( 15,377,145,262,236,410,214, 22,477,
106,357,309, 71,466,431,315,335,444,187,432, 56,459,270,285)
( 16, 41,430,104, 26,283,235,490,346,440, 66,318,136, 43,171, 46,276,
362,350,248,388,125,175,237)( 17,433,290,424, 85,297)
( 18,247,390,321,475,101,383,204,227,201, 76,338,162, 40,168,485,340,
219,320,445, 82,192, 77,494)( 23, 92, 86, 94,405,355,458,471,372,465,
342, 51,291,277,457,146,374,317,148,378,495,439,216, 52)
( 24,217,172,450,481, 29,323,397,179,225, 28,353)( 27,308,480, 90,100,
345,153,271,107,232,461,402,266,387,438,224,128,469,408,493,403, 64,
330,449)( 30,212,351,230,474, 32,417,122, 72,242, 55,382,240,455,348,
211,272,486,102,181, 57,429,221,292)( 31,464,261,143,398,415, 35,328,
173,176,400,129)( 33,329,226, 87,379,483, 91,436,325,284, 53,492,273,
386, 75,274,446,360, 58,294,275,310,208,482)( 49, 63,115,365,391,134,
213,159,167,189,166,131)( 60,109,302)( 61,150, 96,249,369,147,160,
127,161,334,233,301)( 73,163,231)( 74,137,427,157)( 81,473,336,156,
295,120,185,287,299,210,371,246)( 97,332,144,385,367,381,425,286)
(111,258,165,195,349,366,119,487,264,198,327,380)(121,319,399,164,303,
435), ( 1,485,318,294,242,475,490,404,180, 64,489, 70)
( 2,438,343,184, 23,267, 5, 95, 15,308, 86,477)( 3,145,150,315,361,
403,244, 38,378,126,433,279)( 4,317,305,111,339,100,258,129, 20,288,
182,447)( 6,495,461, 71,266, 22,148,380,345,410,332,105)
( 7,415,435,309, 82,446)( 8,154, 61,283,384,122,474,311,358,230,185,
41)( 9,211,219,241,101, 80,190,114,176,460,397, 13)( 10, 50,168,456,
324,391,471,321,407,236,412,297)( 11,239, 35,157, 36,171,216,406,161,
280, 99,479)( 12,255,327, 77,417,436,183,364,467, 63,152,348)
( 14, 45,439,257,128,226)( 16,256,197,376,389,121,118,276, 89,483,302,
396)( 17, 29,306, 78,469,224,165,445,103,371,113,350)
( 18, 44,144,426,179,457,120,202,386,330,247,291)( 19, 74,245,418,492,
62)( 21,496,431,174,414,470,232, 39,107,164,260,388)( 24,221,119, 73,
453,229, 51, 26,251,487,402,451)( 25,208,292,372,458,401,478,125,243,
366, 60,428)( 27,246,432,270,382,328, 53,162,359, 72,419,204)
( 28,191,338, 96)( 30, 87,249,319, 81,217, 68,139, 47,115, 34,301)
( 31,265,220,374,333,275,494,362,147,134,331,484)( 32,399, 94,112,449,
109)( 33,240, 59,352,363,160)( 37,173, 93,454,443,104)
( 40,444,448,424,142,282,400,488,295,264,263,394)( 42,146,304,298,423,
377)( 43,421,405,158,341,163,250,337,131,181,274,312)
( 46,254,486,117,149,108,466,206,408,313,385,326)( 48,462,347,342,300,
143,491,409,137, 65, 66,370)( 49,215)( 52,177,234,434,316,346,261,
238,365,393,187,102)( 54,212,411,259,465,186)( 55,262,222, 76,289,
335,203,271, 91,159,349, 97)( 56,287,463,383,442,299)
( 57,472,459,320,353,473)( 58,285,360,355,135,189,169,130,151,225,268,
79)( 67,303,482,437,196,205,273,167,155,481,322,325)( 69,286,356,450,
237,207)( 75,253,277,351,390,290,310,201,233,194,231,166)
( 83,228,132,223)( 84,141,178,127,195,468)( 85,192,392,136, 92,416,
293,375,269,367,278,340)( 88,156)( 90,420, 98)(106,440,138,381)
(110,314,368,140,175,188)(116,379,354,193)(123,307,493,455)
(124,281,334,430,452,218)(133,422,272,210,373,427)(153,429,323,369,
214,395)(170,425,464)(172,329,357,252,387,398)(198,209,413,284,213,
248)(199,235,344,296,480,200)(227,441) ] ],
[ 6, 32736, 1, "2", [ [ 33, 15 ] ], 1, "PSL(2, 2^5)", [ "L", [ 2, 32 ], 1 ],
[ ( 1,356, 53,261,159,254,410, 35,215, 79,253, 96,198,217,353,430,400,100,
92,395, 20, 16,117,125,421, 23,412,362,178,394,422)( 2,336,256,419,
415, 51,307,182, 15,324, 38,305,397,102,166,232,323,474,204,432,438,
200, 58,344, 62,248,121,490,236, 22,334)( 3,255,264,396, 29,202,220,
94,143,447,387, 50,330,443, 81,325,179, 59,332,257,139,331,242,350,
409,418,147,222,465,203,205)( 4,427, 33,133,425,183,271,428, 52, 44,
7,111, 63,194,273,141,454,483,313,249,170, 83,404,343,376,278, 46,
359,312,115,290)( 5, 27,466,365, 97,458, 93,171,153,453,293,406,424,
393,137,384,275,258,471,337,176,226,382,150,386,260, 17, 95,134,439,
484)( 6,417, 77,423,144,340,492,124,444, 26, 30,244,310,206,265,302,
482,154, 80, 89,473,167,169,378,388,348,463,181,266,243,339)
( 8, 56,403,221,224,455,122,475,351,199, 64,445, 19,431,306,370, 61,
227, 67, 41,494, 57,457,196,269,349, 76,187,116,175,374)
( 9,479,318, 73,435,291,101,383,449,315,283,160,335, 68,399,185,110,
164,190, 86,297,461,487, 13,142,476,237,136,192,408,389)
( 10,352,241,229,135,437, 90,450,184,212,385,165, 32,345,448,303,157,
341,195,267, 70,319,268, 39,292,233,301,360,201,377,270)
( 11,128,114,367, 98, 60, 28,105, 47,246,207,276,285,369,381,109, 87,
174,245,311,405,300,259, 84, 72, 88,486,496,346,289,251)
( 12, 14,401,411,238,173,288,446,230,158,309,407,162, 34, 65,189, 54,
480,481,149, 43,284,371,250,193,119,138,322, 25,112,426)
( 18,113,140,296,477,441,304,413,155,416,279,127,379,329,373,460,177,
294,120,420, 48,214, 66, 49,180, 82,146,355,240,172,372)
( 21,132,429,168,391,280,485,148,488,392,188,326,191,219,308,281,357,
452,364,151,272,468,107, 42,197, 74,489,103,262,456, 91)
( 24,320,263,375,469,252,235,390,338,398,342, 69,186,321,414,277,368,
442,218,118,298, 75, 99,493, 37,495,108,106,239,286,223)
( 31, 78,130,363,358,228,126,145,208,440,104,451,316,472, 36,333,231,
467,328,459,366,478,354,131,462,314,361,234,402, 85,295)
( 40,152,464,282,434,123,211,380,327,299,216,209,491,433, 71,470,436,
287, 55,210,317,161,247, 45,156,347,274,213,225,129,163),
( 1,375,483,371,140,350,116,324,264,185,458)( 2,250,114,493,338,275,
104,255,420,249,363)( 3,419,413,357, 10,367,207,201,148,180,490)
( 4, 41,282,374,177,150,107,345, 83, 54,254)( 5, 37,102,315,476, 70,
94,120,423,196,319)( 6,365,234,137,362, 91,212,163,297,223,241)
( 7,105,429,468, 28,194, 55,224,494,455,123)( 8, 99,489,326,462,355,
170, 50,322,347, 11)( 9,221,454,333,142, 22,168,396,217,268,176)
( 12,271,368, 96,484,192,203,200, 19,143,172)( 13,156,267,197,430,226,
314, 27,206,301,298)( 14,237,448,164,284,117,136,457, 67,110, 20)
( 15,388,159,479,270,313,202,386,261,236,398)( 16, 52,286,330,353,401,
43,178,257, 75,141)( 17,421, 66,432,312,259, 46,305,416, 92,453)
( 18,370, 87, 65,496,380,436,174,230,346,349)( 21, 49,263,269,321,376,
352, 38,327,449, 31)( 23,295,427,118,109,216,278,161,382,158,154)
( 24,404,354,100,181, 34,393,464,115,433,289)( 25,310,213,417,119,214,
74,238,481,456,279)( 26,461,487,144,125,204,179,361,325,397,395)
( 29,407,222,414,291,348,403,475, 89,383,252)( 30,329,409,184,190, 73,
474,108, 97,450,227)( 32,486,186,219,411,434, 76, 78,467,225,273)
( 33,303,132,424,460, 64,317, 57,343,410,288)( 35,473, 58,342,256,215,
406,147,183,377,160)( 36,253,412,320, 56, 39,447,229,299,162,146)
( 40, 45,121,111,492,246,466, 98,124, 63,415)( 42,478,435,470,438,360,
290,235, 61,442,155)( 44,274,358,366,306,210,149,188,390,245,157)
( 47,372,134,112,128,152,287,439,316, 48,131)( 51, 81,240,463,187,307,
340,408,251,469,165)( 53, 82,308,198,173,318,292,281,231,445,244)
( 59,248,341,277,381,399,444, 62,431, 80,296)( 60, 85,127,440, 93,211,
247,285,193,171,113)( 68,167,359,378,389,332,151,293,260,391,443)
( 69,106,276,426,334,328,425,379,205,451,337)( 71,233,242,437,351,218,
400,356,145,441,309)( 72,169,405,294,446,323,280,364,166,189,373)
( 77,175,228,488,135,283,480,422,392,304, 79)( 84,208,103,472,300,485,
153,331,387, 95,452)( 86,126,428,122,335,384, 90,394,465,272,336)
( 88,311,471,482,491,130,232,459,209,266,258)(129,138,139,133,477,402,
191,262,239,199,369)(182,339,302,195,418,220,385,243,265,344,495) ]
],
[ 7, 163680, 0, "2", [ [ 165, 3 ] ], 1, "PGammaL(2, 2^5)",
[ "L", [ 2, 32 ], 1 ],
[ ( 1, 68,238,371,126,287, 93,193,179,337,325,367,215,490,485)
( 2,375,194,437,172,311,493,395,388,149,328,414, 34, 40,190)
( 3, 94, 39,267,340,234,475, 97,187,118,195,184,471,107,379)
( 4,105,124,392,315,255,154,385,300,152,213,204,216,241, 21)
( 5,425,163,218,102,133, 51,424,463,347,455,127, 80,304,290)
( 6,227, 96,253,364,439,254, 29,312,342,386, 23,276,322, 15)
( 7,250, 46,434,474, 71,294,426,350,478, 59,302,120, 70,285)
( 8,468, 53,438, 88,360,283,362,191, 37,151,292,280,251,351)
( 9,176,483, 57, 91,165,441,336,217,157, 44,273,446, 74,317)
( 10,380,486,389,491,330,331,430,427,408,170,155,374,135,230)
( 11,235,225,219, 67, 35,189, 20, 63,222,117,178,476, 86,407)
( 12,344, 78,289,132,158,355,307,418,345,175, 26,203,246,207)
( 13,167,479,356,381,416,281,129,119, 17,383,354, 14, 24,469)
( 16, 61, 85,404,332, 54,343, 47, 62,201,173,429,101,249,316)
( 18,295,233,451,334,309,269,411,410,265,141,435,144,417, 72)
( 19,442,181, 92,134, 49,100,288,405,258,338, 31,319, 81,318)
( 22,199,470,168,357,492,112,212,368,400,390,242,314,373,122)
( 25,306,409,211,159,214,185,114,301,421, 45,431,259,147, 64)
( 27,450,397,391,150,419,494,271,365,210,243, 50,413,130,472)
( 28,104,394,448,462, 41,142,396, 69,327,321, 84,156, 65,399)
( 30,153,406,320,432,467,487,349,180,223,489,452,403,454,348)
( 32,466,109,174,353,277,359,310,263, 60,384,329,412, 95,116)
( 33,488,245,308,415, 52,313,182,296,111,422,445,202, 56,436)
( 36,401,433,143, 99, 90,323,291,372,229,274,376, 79,257,171)
( 38,268,108,457,228,369,297,352,428,377,443,272,138,382,231)
( 42,208,188,339,305,324,198,299,125,145,106,298,461,402,139)
( 48,393,169,192, 58,335,140, 66,458,447,284,244,248,260,121)
( 55,113,286,440,177,240,480,146,237,453,162,482,370,221,473)
( 73,262,459,444,303,136,160,398,266, 83,358,115,224,496,220)
( 75,279,326,239,137,148,465,161,366,197,477,282,270,196,449)
( 76,226,128,200,186,460, 77,456,264,183,103,166,236,481,495)
( 82,387,256, 98, 89,252,205,232,423, 87,278,420,123,378,261)
(110,341,206,361,164,464,363,293,247,346,333,131,209,484,275),
( 1,206,198,212,308,169,448,389,406, 47)( 2,416,428,110, 38,328,490,
62,112,374)( 3,177,266,309,327,390, 55, 21, 25, 24)
( 4,378, 67,412,377,256,411,468,287,193)( 5,438,489, 18, 72,176,109,
397,161,437)( 6,342,485,425,125,483,237,376,293,249)
( 7,231,445,337,239, 64,213,306,319,179)( 8,481,366,449,129,241,311,
73,145,272)( 9,434, 88,236,380, 48,339,282, 36,423)( 10,270,446,261,
208,474,482,183,197,279)( 11,277,387,356, 83,396, 87,260,247,346)
( 12,451,117,362,433,133,122,324,124,330)( 13,334,323,472,385)
( 14,484,258, 50,343, 19,405,160,140,325)( 15, 28,143,123,404,284,286,
268, 98,243)( 16,298,207,265,313,108,369, 43,494,128)
( 17,106,297, 52,165,220,326,295,102,349)( 20,200,275, 34,442,157, 89,
178,465, 59)( 22,274,430,454,431,345, 29,408,255,288)
( 23, 66,413,388,312,407, 92,432,354,400)( 26,118,318,192,155,379,195,
495,355,251)( 27,134,168, 60,348, 39, 80,292,184,144)
( 30,163,316,358,201,248,180,493, 54, 35)( 31,299,154, 56,321,194, 49,
217,420,172)( 32,427,375, 76,211,290, 58,415, 51,439)
( 33,136, 81, 42,257,225,486,196,233,119)( 37,314,240,479,403,173,186,
269,367,264)( 40,150,283,447, 90,469,244,336,294,450)
( 41,307,148,164,444,361,254,315,365, 91)( 44,333,221,322,332,352,340,
393, 53, 68)( 45,455, 65,216,492,487,302,303,151,238)
( 46, 97, 93,209, 99,126,422,276,271,120)( 57,127,463,141,394,471,395,
152,429,116)( 61,259, 69,310,371,350,142,401,353,130)
( 63,101,476,100,398,456,436,467,156,410)( 70,488, 78,351,175,280,417,
228,234,460)( 71,111,360,232,331,107, 96,317,459,386)
( 74,132, 75,373,453,300, 86,278,202,135)( 77,203,496,162,305,139,185,
426,424,320)( 79, 95,153,335,222, 82,147,138,158,181)
( 84,363,473,441,296,235,391,477,215,285)( 85,226,273,392,281,304,246,
414,167,421)( 94,383,227,419,370,372,461,104,219,115)
(103,242,229,418,252)(105,357,245,218,199,435,267,137,205,409)
(113,166,491,214,381,187,190,478,146,121)(114,452,457,341,464,230,347,
171,210,382)(131,329,458,263,170,204,174,402,399,159)
(149,466,301,182,440,344,224,368,480,384)(188,364,338,470,289,359,475,
262,253,443)(189,191,291,462,223) ] ],
[ 8, 19998720, 0, "2", [ [ 105, 1 ], [ 30, 1 ], [ 240, 1 ], [ 120, 1 ] ], 1,
"PSL(5, 2).2", [ "L", [ 5, 2 ], 1 ],
[ ( 1,436,404,483,164,276)( 2, 62,193,340,417,391)( 3,130,317)
( 4,208,462,215,321,124)( 5,117,384, 18,405, 40)( 6,159, 71,222,
205, 83)( 7, 24,479, 91,256,203)( 8, 33,293,453,303,202)
( 9,305,146,301,139, 57)( 10, 22,200,401,167,253)( 11, 45)
( 12,261,109,144,476,216)( 13, 94,160,265,430,315)( 14, 88,466,145,
319,431)( 15,225,230,324,426,295)( 16,255,240,396,363,360)
( 17,369,148,323,300, 46)( 19,187,372, 38,150,393)( 20,125)
( 21,343,345,116,359,441)( 23,419, 58,214,342, 65)( 25,168,182,442,
87,448)( 26,191,247,445,371,294)( 27,411, 74,147,313,438)
( 28, 75,473,210,395,141)( 29,131, 49,174,166,179)( 30,355,108, 37,
440,475)( 31,402,383,169,163,151)( 32,282,380, 78,280, 77)
( 34, 69, 43,336,129,450)( 35,367,379,266,232,435)( 36,112,231, 39,
158,283)( 41, 98,306,185,196,325)( 42,382,235,458,246,312)( 44,138)
( 47,201,279,218,412,361)( 48,102,332,251,249,350)( 50,290,335,347,
221,304)( 51, 93,318,178,334,107)( 52,132, 89,309,341,353)
( 53,356,409,351,197, 96)( 54,486,485,120,133,416)( 55,248,373,140,
296,134)( 56,121,244,327,487,400)( 59,314,333,399,482,143)
( 60,403,275,489, 73,480)( 61,263,260,328,385, 85)( 63,368,233,119,
311,463)( 66,302,207,330,118,273)( 67,433,181,397,226,420)
( 68,175,449,171, 72,206)( 70,227,126,154,110,407)( 76, 97,381,254,
469,243)( 79,136,199,264,269,484)( 80,446,339,122,101,428)
( 81,413,491,220, 99,425)( 82,224,198,322,455,272)( 84,189,362,241,
237,172)( 86,156,192,195,299,100)( 90,472)( 92,135)( 95,424,245,271,
186,421)(103,474,366,289,257,377)(104,209)(105,161,451,274,204,285)
(106,298,310,388,228,443)(111,176,326,211,468,190)(113,281,415,180,
127,170)(114,337,378,346,177,454)(115,408,123,432,149,410)
(128,217,308)(137,259)(142,490)(152,284,460,456,364,488)
(153,370,157,291,173,238)(155,414,288,376,447,496)(162,389,344,492,
277,234)(165,464,292,348,352,212)(183,338,459,423,457,357)
(184,316,422,461,365,329)(188,307)(194,465)(213,494,493)
(219,398,429,387,418,439)(223,268,354,444,358,267)(229,297,270,239,
481,320)(236,477,286,252,478,394)(242,349,374)(250,258,278,470,375,
495)(262,427)(331,452,406,467,392,437)(390,434),
( 1,153, 57, 94,305,463, 5,243,139,211,123,194, 96,183,378,339)
( 2,244,273,357,480,420, 82,361,151, 51, 52,467,272, 68,107,143)
( 3, 26,446,199, 63,203,116,384)( 4,136,197,347,227,389,100,217)
( 6,360,281,285,472,284,287,399,340,412,436, 17,327,145,447,266)
( 7,156,120,221,451, 59, 24, 85, 28, 79, 10, 38,349, 69, 56,369)
( 8,295,167,242,362,355,416,108)( 9,390,177, 54,257,441, 15, 89,246,
289,419, 36, 44,171,310,382)( 11,337,201,422,364,443, 25,119,379,316,
415,134,372,448,229,487)( 12, 92,400,483,142,160,394,423,268,161,304,
343,492, 42,464,294)( 13, 84,133,149,427,421, 95,326, 31,377,468,329,
241,381, 72, 87)( 14,350,250,452,111,147,407,225,233,235,358,104,135,
255,215,444)( 16,222,130,180, 98,141,344,124,114,276,224,206,208,431,
127, 32)( 18,179,173,367,138,283,181,366,166,140,375,195, 37,267,193,
293)( 19,334,230,248,309, 23,115,204,392,437,320,359,113, 35,450,157)
( 20,311,376,325,184,496,403,239,170, 88,388,380,125,144,280,109)
( 21,482,370,262,432,428,434,401)( 22,202,433, 58,440,298,254,301)
( 27,430,461,439,323,462,247,485,212,313,315, 76,200,318, 77,481)
( 29, 93,490,218,214,476, 83, 40,264,386, 74,259,363,112,484,165)
( 30,398, 46, 86,314,475, 62,223,189,373,182,265,353,453,365,260)
( 33,263,190, 64,297,270,172,168)( 34,252,491,328,249,402,296,317,131,
251,435,158,188,330,425,185)( 39,110,213,458,150,278, 91,397,228,488,
253, 67, 90,105,191,240)( 41,494, 45,307,159,234,291,466,406,414,409,
410,292,478,442,198)( 43,336,303,426,405,232,385,474)
( 47, 53,408,308,155,374,152,299, 48,118,418,210,495, 61, 50,351)
( 49, 97,277,371,486,493, 75,469,175,174,269,471,231,261,178,332)
( 55,324,449, 78,342,354,102,187)( 60,348,192,395,333,460,321,345,331,
163,346,335,356, 73,338,391)( 65,205,216,341,411,312,393,162,245,129,
238,122,387,302,306, 81)( 66,121,489,286,132, 70,457,352)
( 71,396,455,279,319,479,477,459, 80,413,128,424,126,196,164,445)
( 99,456,368,117,186,154,282,226)(101,454,103,300,429,169,258,237)
(106,207,209,417,288,146,473,271)(137,176,404,256,438,148,219,322)
(220,274,465,290,236,470,383,275) ] ],
[ 9, 131565418466846765083609006080000000, 1, "2", [ [ 60, 1 ], [ 435, 1 ] ],
1, "Alt(32)", [ "A", 32, 1 ],
[ ( 2, 3, 5, 7, 11, 15, 21, 27, 35, 43, 53, 63, 75, 87,101,115,131,147,
165,183,203,223,245,267,291,315,341,367,395,423)( 4, 6, 9, 12, 17,
22, 29, 36, 45, 54, 65, 76, 89,102,117,132,149,166,185,204,225,246,
269,292,317,342,369,396,425,453)( 8, 13, 19, 25, 33, 41, 51, 61, 73,
85, 99,113,129,145,163,181,201,221,243,265,289,313,339,365,393,421,
451,480,424,454)( 10, 14, 20, 26, 34, 42, 52, 62, 74, 86,100,114,130,
146,164,182,202,222,244,266,290,314,340,366,394,422,452,481,496,482)
( 16, 23, 31, 39, 49, 59, 71, 83, 97,111,127,143,161,179,199,219,241,
263,287,311,337,363,391,419,449,478,368,397,427,456)( 18, 24, 32, 40,
50, 60, 72, 84, 98,112,128,144,162,180,200,220,242,264,288,312,338,
364,392,420,450,479,495,426,455,483)( 28, 37, 47, 57, 69, 81, 95,109,
125,141,159,177,197,217,239,261,285,309,335,361,389,417,447,476,316,
343,371,399,429,458)( 30, 38, 48, 58, 70, 82, 96,110,126,142,160,178,
198,218,240,262,286,310,336,362,390,418,448,477,494,370,398,428,457,
484)( 44, 55, 67, 79, 93,107,123,139,157,175,195,215,237,259,283,307,
333,359,387,415,445,474,268,293,319,345,373,401,431,460)
( 46, 56, 68, 80, 94,108,124,140,158,176,196,216,238,260,284,308,334,
360,388,416,446,475,493,318,344,372,400,430,459,485)( 64, 77, 91,105,
121,137,155,173,193,213,235,257,281,305,331,357,385,413,443,472,224,
247,271,295,321,347,375,403,433,462)( 66, 78, 92,106,122,138,156,174,
194,214,236,258,282,306,332,358,386,414,444,473,492,270,294,320,346,
374,402,432,461,486)( 88,103,119,135,153,171,191,211,233,255,279,303,
329,355,383,411,441,470,184,205,227,249,273,297,323,349,377,405,435,
464)( 90,104,120,136,154,172,192,212,234,256,280,304,330,356,384,412,
442,471,491,226,248,272,296,322,348,376,404,434,463,487)
(116,133,151,169,189,209,231,253,277,301,327,353,381,409,439,468,148,
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107,376,163,266,147,361, 37,390,140, 71,208,445,472,168,344,292,232,
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379, 57,155, 32,449,415,116,469,171,434,481, 97,351, 23,437,164,180,
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440, 66,479,127, 91,214,149,491,500,483,137, 46,486,447, 69,141,269,
130,252,372)( 11,162,226, 61, 65,349,407, 81,217,497,455,190,238,293,
227,181, 70,161,225, 85,370,124,257,375,100,250,485,176,411,450,195,
143,475,108,133,374,194,268,429,186, 93,461,117, 41, 26,307,460, 17,
78,466,263,289,432,305,365, 87, 90, 99,187,320,152,321,347)
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210,345,342,394,241, 56,478, 48,501,367,206,373,315,189,134,286,402,
178,364,109, 98,215, 39,154, 54,422,203,170,260,272, 27,306, 58,401,
270,337, 34,311,105, 44,366,388,228,297, 75,339),
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( 6,136,251,374,303,384)( 7,398,324,241,343,179)( 8,366,121,357,
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( 11,492,452,204,258, 57)( 12,105,283,190,418,140)( 13,308,365,201,
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( 16,427,153,336,438,216)( 18,440,195, 54,215,233)( 19,135,305, 32,
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( 27,101,143,163,385,209)( 29,474, 34,326,238,493)( 30,108,112,185,
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( 47,246,274,194,422,500)( 49,174,237,395,156, 64)( 50,214,382,429,
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54)( 59,288,287,372,435,302,301,300,413)( 64,473,472,471,269,268, 67,
66, 65)( 68,267,266,265,264,263,262,261, 69)( 70,260,259,468,467, 74,
73, 72, 71)( 79,243,242,173,172,171,170,441,440)( 85,451,450,449,455,
110,388,164,384)( 86,383,203,202,201,200,405,389,109)
( 87,108,162,248,247,317,316,252,166)( 88,165,387,385,163,107,401,400,
207)( 89,206,250,402,106,105,228,355,354)( 90,353,398,313,196,195,
194,359, 91)( 92,358,357,225,103,102,190,189,188)( 93,187,192,191,
101,100, 99, 95, 94)( 96, 98, 97)(104,224,223,184,183,321,210,230,229
)(111,454,403,249,161,160,282,281,280)(112,279,447,197,312,311,310,
114,113)(115,309,308,307,156,155,363,117,116)(118,362,361,360,193,
186,185,222,221)(119,220,153,152,151,150,325,324,120)
(121,323,322,182,303,434,433,432,122)(123,431,430,147,146,145,417,125,
124)(127,338,143,142,141,140,503,129,128)(144,337,336,335,334,333,
420,419,418)(148,429,428,427,329,328,327,326,149)(154,219,218,217,
216,215,214,365,364)(157,306,305,211,320,284,283,159,158)
(177,462,234,233,436,371,180,179,178)(181,370,369,368,367,366,213,212,
304)(198,446,396,395,394,393,392,391,377)(199,376,277,350,349,409,
408,407,406)(204,382,381,380,379,378,390,404,453)(226,356,227)
(232,285,319,318,246,245,487,438,437)(290,494,411,410,348,347,346,345,
344)(291,343,478,297,296,295,294,293,292)(330,426,425,424,423,422,
421,332,331) ] ],
[2, Factorial(511)/2,1,"2",[[510,1]],509, "Alt(511)", ["A",511, 1], "Alt"],
[3, Factorial(511),0,"2",[[510, 1]],511, "Sym(511)", ["A",511, 1], "Sym"]];
PRIMGRP[512]:=
[[ 1, 24580620288000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"Alt(8) wreath Alt(3)", [ "A", 8, 3 ],
[ ( 1,428,376,457,410, 54,105,424,499,281,390,116,353,395,306)
( 2, 44,368,464,474, 30,110,104,483,283,262, 68,356,331,266)
( 3,300,328,460,346, 14,106, 40,491,288,454, 92,358, 75,290)
( 4,364,336,458, 26, 46,112,488,475,286, 70,100,355,267,258)
( 5,236,384,461,218, 62,109,232,507,285,198,124,357,203,314)
( 6,108,360,459,282)( 7,172,344,463,154, 22,111,168,467,287,134, 84,
359,139,274)( 8,492,352,462, 90, 38,107,296,451,284,326, 76,354, 11,
298)( 9,426, 56,489,416,502, 89,422,115,289,387,308,321,396,370)
( 10, 42, 48,496,480,478, 94,102, 99,291,259,260,324,332,330)
( 12,362, 16,490, 32,494, 96,486, 91,294, 67,292,323,268,322)
( 13,234, 64,493,224,510, 93,230,123,293,195,316,325,204,378)
( 15,170, 24,495,160,470, 95,166, 83,295,131,276,327,140,338)
( 17,431,184,465,415,182, 81,423,179,273,391,180,337,399,178)
( 18, 47,176,472,479,158, 86,103,163,275,263,132,340,335,138)
( 19,303,136,468,351,142, 82, 39,171,280,455,156,342, 79,162)
( 20,367,144,466, 31,174, 88,487,155,278, 71,164,339,271,130)
( 21,239,192,469,223,190, 85,231,187,277,199,188,341,207,186)
( 23,175,152,471,159,150, 87,167,147,279,135,148,343,143,146)
( 25,430,120,481,411,310, 65,420,371,265,386, 52,361,400,498)
( 27,302, 72,484,347,270, 66, 36,363,272,450, 28,366, 80,482)
( 29,238,128,485,219,318, 69,228,379,269,194, 60,365,208,506)
( 33,427,312,449,412,374, 73,418, 51,297,392,500,345,398,114)
( 34, 43,304,456,476,350, 78, 98, 35,299,264,452,348,334, 74)
( 37,235,320,453,220,382, 77,226, 59,301,200,508,349,206,122)
( 41,432,504,473,414,118, 97,419,307,257,388,372,329,394, 50)
( 45,240,512,477,222,126,101,227,315,261,196,380,333,202, 58)
( 49,425,440,497,409,438,113,417,435,305,385,436,369,393,434)
( 53,233,448,501,217,446,117,225,443,309,193,444,373,201,442)
( 55,169,408,503,153,406,119,161,403,311,129,404,375,137,402)
( 57,429,248,505,413,246,121,421,243,313,389,244,377,397,242)
( 61,237,256,509,221,254,125,229,251,317,197,252,381,205,250)
( 63,173,216,511,157,214,127,165,211,319,133,212,383,141,210)
(145,407,183)(149,215,191)(177,401,439)(181,209,447)(185,405,247)
(189,213,255)(241,441,437)(245,249,445),
( 1,454, 14, 8,390, 46, 2,326, 38, 3,198, 30)( 4, 70, 54)
( 5,262, 62, 7,134, 22)( 9,456,398, 48,386,366, 34,323,230, 27,193,
478)( 10,328,422, 43,194,350, 33,451,206, 32,385,494)
( 11,200,414, 41,450,334, 40,387,238, 26,321,486)( 12, 72,438, 44, 66,
374, 36, 67,246, 28, 65,502)( 13,264,446, 47,130,342, 37,259,254, 31,
129,470)( 15,136,406, 45,258,382, 39,131,214, 29,257,510)
( 16,392,430, 42,322,358, 35,195,222, 25,449,462)( 17,453,270, 64,391,
174, 18,325,294, 59,199,158)( 19,197,286, 57,455,142, 24,389,302, 58,
327,166)( 20, 69,310, 60, 71,182)( 21,261,318, 63,135,150)
( 23,133,278, 61,263,190)( 49,452, 78, 56,388,110, 50,324,102, 51,196,
94)( 52, 68,118)( 53,260,126, 55,132, 86)( 73,504,396,112,434,364,
98,371,228, 91,241,476)( 74,376,420,107,242,348, 97,499,204, 96,433,
492)( 75,248,412,105,498,332,104,435,236, 90,369,484)
( 76,120,436,108,114,372,100,115,244, 92,113,500)( 77,312,444,111,178,
340,101,307,252, 95,177,468)( 79,184,404,109,306,380,103,179,212, 93,
305,508)( 80,440,428,106,370,356, 99,243,220, 89,497,460)
( 81,501,268,128,439,172, 82,373,292,123,247,156)( 83,245,284,121,503,
140, 88,437,300,122,375,164)( 84,117,308,124,119,180)
( 85,309,316,127,183,148)( 87,181,276,125,311,188)(137,472,397,304,
442,367,162,339,229,283,249,479)(138,344,421,299,250,351,161,467,205,
288,441,495)(139,216,413,297,506,335,168,403,237,282,377,487)
(141,280,445,303,186,343,165,275,253,287,185,471)(143,152,405,301,314,
383,167,147,213,285,313,511)(144,408,429,298,378,359,163,211,221,281,
505,463)(145,469,269,320,447,175,146,341,293,315,255,159)
(149,277,317,319,191,151)(153,465,461,272,448,431,170,338,357,291,251,
223)(154,337,485,267,256,415,169,466,333,296,443,239)
(155,209,477,265,512,399,176,402,365,290,379,231)(157,273,509,271,192,
407,173,274,381,295,187,215)(160,401,493,266,384,423,171,210,349,289,
507,207)(189,279)(201,480,393,496,394,368,418,363,226,347,225,475)
(202,352,417,491)(203,224,409,489,458,336,424,427,234,346,353,483)
(208,416,425,490,330,360,419,235,218,345,481,459)(217,473,457,464,400,
432,426,362,354,355,227,219)(232,411,233,474,329,488,395,240,410,361,
482,331) ] ],
[ 2, 49161240576000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"Alt(8)^3.6", [ "A", 8, 3 ],
[ ( 1,110,189,471, 49,430,186,479,369,432,130, 95,373,408, 2, 94,381,472)
( 3, 78,317,467, 9,302,187,463,305,427,138,287,371,400,258, 91,333,
280)( 4,102,253,468, 33,238,188,487,241,428,162,223,372,424,194, 92,
357,216)( 5, 86, 61,470, 57,494,185,495,177,431,178,415,370,416,322,
96,325, 88)( 6,126,509,465, 41,174,191,503,433,426,154,351,376,392,
66, 93,341, 24)( 7,118,445,466, 25,366,192,455,113,429,146, 31,374,
448,450, 89,365,152)( 8, 70,125,469, 17, 46,190,511,497,425,170,159,
375,440,386, 90,349,344)( 10,286,379,464,257,107,141,279, 51,398,314,
475,329,304,131, 79,309,403)( 11,270,315,459,265,299,139,271,307,395,
266,283,331,272,259, 75,269,275)( 12,294,251,460,289,235,140,295,243,
396,290,219,332,296,195, 76,293,211)( 13,278, 59,462,313,491,137,303,
179,399,306,411,330,288,323, 80,261, 83)( 14,318,507,457,297,171,143,
311,435,394,282,347,336,264, 67, 77,277, 19)( 15,310,443,458,281,363,
144,263,115,397,274, 27,334,320,451, 73,301,147)( 16,262,123,461,273,
43,142,319,499,393,298,155,335,312,387, 74,285,339)( 18, 30,382,512,
449,105,173,151, 55,438,442,474,345,368,136, 71,117,405)
( 20, 38,254,508,481,233,172,167,247,436,418,218,348,360,200, 68,101,
213)( 21, 22, 62,510,505,489,169,175,183,439,434,410,346,352,328, 72,
69, 85)( 23, 54,446,506,473,361,176,135,119,437,402, 26,350,384,456,
65,109,149)( 28,358,256,452, 97,237,148, 39,246,444,482,217,364,168,
199,116,421,210)( 29,342, 64,454,121,493,145, 47,182,447,498,409,362,
160,327,120,389, 82)( 32,326,128,453, 81, 45,150, 63,502,441,490,153,
367,184,391,114,413,338)( 34,222,380,488,193,108,165,215, 52,422,250,
476,353,240,132,103,245,404)( 35,206,316,483,201,300,163,207,308,419,
202,284,355,208,260, 99,205,276)( 36,230,252,484,225,236,164,231,244,
420,226,220,356,232,196,100,229,212)( 37,214, 60,486,249,492,161,239,
180,423,242,412,354,224,324,104,197, 84)( 40,198,124,485,209, 44,166,
255,500,417,234,156,359,248,388, 98,221,340)( 42,158,383,504,385,106,
157,343, 56,390,122,477,337, 48,134,127,501,401)( 50,414,378,480,321,
112,133, 87, 53,406, 58,478,377,496,129,111,181,407)(203,268,291)
(204,292,227), ( 1,304,467, 65,320,468,193,312,471,321,296,466,129,
288,470,385,272,469)( 2,176,475, 70,448,460,197, 56,495,323,104,506,
132,224,502,391,336,485)( 3,112,507, 68,256,500,199,376,487,322,168,
474,134,416,462,389, 16,493)( 4,240,499, 71,384,484,194,184,479,326,
424,458,133, 32,494,387, 80,509)( 5, 48,491, 67,128,508,196,248,503,
327,360,482,130,160,478,390,400,461)( 6,432,459, 69, 64,492,195,120,
511,324,232,498,135,352,486,386,144,477)( 7,368,483, 66,192,476,198,
440,463,325, 40,490,131, 96,510,388,208,501)( 8,496,451, 72,512,452,
200,504,455,328,488,450,136,480,454,392,464,453)( 9,301, 19,105,315,
84,249,308,215,369,295,338,161,282,150,409,270,405)( 10,173, 27,110,
443, 76,253, 52,239,371,103,378,164,218,182,415,334,421)
( 11,109, 59,108,251,116,255,372,231,370,167,346,166,410,142,413, 14,
429)( 12,237, 51,111,379,100,250,180,223,374,423,330,165, 26,174,411,
78,445)( 13, 45, 43,107,123,124,252,244,247,375,359,354,162,154,158,
414,398,397)( 15,365, 35,106,187, 92,254,436,207,373, 39,362,163, 90,
190,412,206,437)( 17,297,275, 81,313,276,209,305,279,337,289,274,145,
281,278,401,265,277)( 18,169,283, 86,441,268,213, 49,303,339, 97,314,
148,217,310,407,329,293)( 20,233,307, 87,377,292,210,177,287,342,417,
266,149, 25,302,403, 73,317)( 21, 41,299, 83,121,316,212,241,311,343,
353,290,146,153,286,406,393,269)( 22,425,267, 85, 57,300,211,113,319,
340,225,306,151,345,294,402,137,285)( 23,361,291, 82,185,284,214,433,
271,341, 33,298,147, 89,318,404,201,309)( 24,489,259, 88,505,260,216,
497,263,344,481,258,152,473,262,408,457,261)( 28,238,435, 79,381, 36,
234,179, 95,382,420,202,181, 31,366,419, 74,189)( 29, 46,427, 75,125,
60,236,243,119,383,356,226,178,159,350,422,394,141)( 30,430,395, 77,
61, 44,235,115,127,380,228,242,183,351,358,418,138,157)
( 34,170,155, 94,446,396,205, 53, 47,363, 99,122,188,220,246,439,335,
357)( 37, 42,171, 91,126,444,204,245, 55,367,355, 98,186,156,222,438,
399,333)( 38,426,139, 93, 62,428,203,117, 63,364,227,114,191,348,230,
434,143,349)( 50,175,347,102,442,140,221, 54,431,331,101, 58,172,219,
118,447,332,229)(257,280,465)(264,472,449) ] ],
[ 3, 49161240576000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"Alt(8) wreath Sym(3)", [ "A", 8, 3 ],
[ ( 1,334,157, 36,394,191,225,430,509,244,106,455,369, 94, 5,332,154, 39,
393,190,229,428,506,247,105,454,373, 92, 2,335,153, 38,397,188,226,
431,505,246,109,452,370, 95)( 3,336,155, 40,395,192,227,432,507,248,
107,456,371, 96)( 4,330,159, 33,398,189,228,426,511,241,110,453,372,
90, 7,329,158, 37,396,186,231,425,510,245,108,450,375, 89, 6,333,
156, 34,399,185,230,429,508,242,111,449,374, 93)( 8,331,160, 35,400,
187,232,427,512,243,112,451,376, 91)( 9,142,165,420,442,255,233,494,
501,116, 66,327,345, 30, 13,140,162,423,441,254,237,492,498,119, 65,
326,349, 28, 10,143,161,422,445,252,234,495,497,118, 69,324,346, 31)
( 11,144,163,424,443,256,235,496,499,120, 67,328,347, 32)
( 12,138,167,417,446,253,236,490,503,113, 70,325,348, 26, 15,137,166,
421,444,250,239,489,502,117, 68,322,351, 25, 14,141,164,418,447,249,
238,493,500,114, 71,321,350, 29)( 16,139,168,419,448,251,240,491,504,
115, 72,323,352, 27)( 17,270,149,292,402,319,209,302,469,308, 82,263,
337,286, 21,268,146,295,401,318,213,300,466,311, 81,262,341,284, 18,
271,145,294,405,316,210,303,465,310, 85,260,338,287)( 19,272,147,296,
403,320,211,304,467,312, 83,264,339,288)( 20,266,151,289,406,317,212,
298,471,305, 86,261,340,282, 23,265,150,293,404,314,215,297,470,309,
84,258,343,281, 22,269,148,290,407,313,214,301,468,306, 87,257,342,
285)( 24,267,152,291,408,315,216,299,472,307, 88,259,344,283)
( 41,462,181,100,386,383,217, 46,461,180, 98,391,377,222, 45,460,178,
103,385,382,221, 44,458,183, 97,390,381,220, 42,463,177,102,389,380,
218, 47,457,182,101,388,378,223)( 43,464,179,104,387,384,219, 48,459,
184, 99,392,379,224)( 49, 78,133,356,410, 63,201,174,485,436,122,199,
361,478, 53, 76,130,359,409, 62,205,172,482,439,121,198,365,476, 50,
79,129,358,413, 60,202,175,481,438,125,196,362,479)( 51, 80,131,360,
411, 64,203,176,483,440,123,200,363,480)( 52, 74,135,353,414, 61,204,
170,487,433,126,197,364,474, 55, 73,134,357,412, 58,207,169,486,437,
124,194,367,473, 54, 77,132,354,415, 57,206,173,484,434,127,193,366,
477)( 56, 75,136,355,416, 59,208,171,488,435,128,195,368,475)
(273,278,277,276,274,279)(275,280),
( 1,346, 71, 25,322, 95)( 2, 90, 65,345,327, 31)( 3,410, 72,153,326,
287)( 4,474, 68,473,324,479)( 5,218, 69,217,325,223)
( 6,282, 67,409,328,159)( 7, 26, 66, 89,321,351)( 8,154, 70,281,
323,415)( 9,338,103, 41,378,119)( 10, 82, 97,361,383, 55)
( 11,402,104,169,382,311)( 12,466,100,489,380,503)( 13,210,101,233,
381,247)( 14,274, 99,425,384,183)( 15, 18, 98,105,377,375)
( 16,146,102,297,379,439)( 17,354,111, 57,370, 79)( 19,418,112,185,
374,271)( 20,482,108,505,372,463)( 21,226,109,249,373,207)
( 22,290,107,441,376,143)( 23, 34,106,121,369,335)( 24,162,110,313,
371,399)( 27,386, 96,129,350,263)( 28,450, 92,449,348,455)
( 29,194, 93,193,349,199)( 30,258, 91,385,352,135)( 32,130, 94,257,
347,391)( 33,362,127, 49,330, 87)( 35,426,128,177,334,279)
( 36,490,124,497,332,471)( 37,234,125,241,333,215)( 38,298,123,433,
336,151)( 39, 42,122,113,329,343)( 40,170,126,305,331,407)
( 43,442,120,137,342,295)( 44,506,116,457,340,487)( 45,250,117,201,
341,231)( 46,314,115,393,344,167)( 47, 58,114, 73,337,359)
( 48,186,118,265,339,423)( 50, 74, 81,353,367, 63)( 51,394, 88,161,
366,319)( 52,458, 84,481,364,511)( 53,202, 85,225,365,255)
( 54,266, 83,417,368,191)( 56,138, 86,289,363,447)( 59,434, 80,145,
358,303)( 60,498, 76,465,356,495)( 61,242, 77,209,357,239)
( 62,306, 75,401,360,175)( 64,178, 78,273,355,431)(131,414,264,155,
390,288)(132,478,260,475,388,480)(133,222,261,219,389,224)
(134,286,259,411,392,160)(136,158,262,283,387,416)(139,406,296,171,
446,312)(140,470,292,491,444,504)(141,214,293,235,445,248)
(142,278,291,427,448,184)(144,150,294,299,443,440)(147,422,304,187,
438,272)(148,486,300,507,436,464)(149,230,301,251,437,208)
(152,166,302,315,435,400)(156,454,284,451,412,456)(157,198,285,195,
413,200)(163,430,320,179,398,280)(164,494,316,499,396,472)
(165,238,317,243,397,216)(168,174,318,307,395,408)(172,510,308,459,
404,488)(173,254,309,203,405,232)(176,190,310,267,403,424)
(180,462,276,483,428,512)(181,206,277,227,429,256)(182,270,275,419,
432,192)(188,502,268,467,420,496)(189,246,269,211,421,240)(196,477)
(197,221)(204,469,228,493,252,501)(205,213,229,237,253,245)
(212,485,236,509,244,461)(220,453)(452,476)(460,468,484,492,508,500)
] ],
[ 4, 49161240576000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"Alt(8)^3.Sym(3)", [ "A", 8, 3 ],
[ ( 1,277,387,214,322,468,135, 17,261,403,198,338,452,151)( 2,469,391, 22,
325,404,134,337,260,147,193,274,451,215)( 3,213,386,470,327, 20,133,
401,262,339,196,146,449,279)( 4,149,385,278,323,212,130,465,263, 19,
197,402,454,343)( 5,405,390,342,324,148,129,273,259,211,194,466,455,
23)( 6,341,388,150,321,276,131,209,258,467,199, 18,453,407)
( 7, 21,389,406,326,340,132,145,257,275,195,210,450,471)
( 8, 85,392, 86,328, 84,136, 81,264, 83,200, 82,456, 87)
( 9,309,419,238,346,460,183, 33,301,411,206,370,484,175, 25,269,435,
230,362,476,143, 49,293,427,222,330,500,167, 41,285,395,246,354,492,
159)( 10,501,423, 46,349,396,182,353,300,155,201,306,483,239, 26,461,
439, 38,365,412,142,369,292,171,217,266,499,231, 42,477,399, 54,357,
428,158,329,308,163,233,282,459,247, 34,493,415, 14,373,420,174,345,
268,179,225,298,475,207, 50,485,431, 30,333,436,166,361,284,139,241,
290,491,223)( 11,245,418,494,351, 12,181,417,302,347,204,178,481,303,
27,205,434,486,367, 28,141,433,294,363,220,138,497,295, 43,221,394,
502,359, 44,157,393,310,355,236,154,457,311, 35,237,410,462,375, 36,
173,409,270,371,228,170,473,271, 51,229,426,478,335, 52,165,425,286,
331,244,162,489,287)( 13,437,422,366,348,140,177,289,299,219,202,498,
487, 47, 29,397,438,358,364,156,137,305,291,235,218,458,503, 39, 45,
413,398,374,356,172,153,265,307,227,234,474,463, 55, 37,429,414,334,
372,164,169,281,267,243,226,490,479, 15, 53,421,430,350,332,180,161,
297,283,203,242,482,495, 31)( 16,117,424,110,352, 76,184, 97,304, 91,
208,114,488,111, 32, 77,440,102,368, 92,144,113,296,107,224, 74,504,
103, 48, 93,400,118,360,108,160, 73,312, 99,240, 90,464,119, 40,109,
416, 78,376,100,176, 89,272,115,232,106,480, 79, 56,101,432, 94,336,
116,168,105,288, 75,248, 98,496, 95)( 24, 69,408, 70,344, 68,152, 65,
280, 67,216, 66,472, 71)( 57,317,443,254,378,508,191)
( 58,509,447, 62,381,444,190,377,316,187,249,314,507,255)
( 59,253,442,510,383, 60,189,441,318,379,252,186,505,319)
( 61,445,446,382,380,188,185,313,315,251,250,506,511, 63)
( 64,125,448,126,384,124,192,121,320,123,256,122,512,127)( 72, 88)
( 80,120,104,112, 96),
( 1,177,409, 17,497,425,209,505,105,201,377, 65,137,345)
( 2,181,415, 19,498,429,215,507,106,205,383, 67,138,349, 7,179,410,
21,503,427,210,509,111,203,378, 69,143,347)( 3,178,413, 23,499,426,
213,511,107,202,381, 71,139,346, 5,183,411, 18,501,431,211,506,109,
207,379, 66,141,351)( 4,180,412, 20,500,428,212,508,108,204,380, 68,
140,348)( 6,182,414, 22,502,430,214,510,110,206,382, 70,142,350)
( 8,184,416, 24,504,432,216,512,112,208,384, 72,144,352)
( 9,369,385,145,473, 41,241,441, 81,457,361,193,185, 89)
( 10,373,391,147,474, 45,247,443, 82,461,367,195,186, 93, 15,371,386,
149,479, 43,242,445, 87,459,362,197,191, 91)( 11,370,389,151,475, 42,
245,447, 83,458,365,199,187, 90, 13,375,387,146,477, 47,243,442, 85,
463,363,194,189, 95)( 12,372,388,148,476, 44,244,444, 84,460,364,196,
188, 92)( 14,374,390,150,478, 46,246,446, 86,462,366,198,190, 94)
( 16,376,392,152,480, 48,248,448, 88,464,368,200,192, 96)
( 25, 49,433,401,465,489,233,249,121, 73,329,321,129,153)
( 26, 53,439,403,466,493,239,251,122, 77,335,323,130,157, 31, 51,434,
405,471,491,234,253,127, 75,330,325,135,155)( 27, 50,437,407,467,490,
237,255,123, 74,333,327,131,154, 29, 55,435,402,469,495,235,250,125,
79,331,322,133,159)( 28, 52,436,404,468,492,236,252,124, 76,332,324,
132,156)( 30, 54,438,406,470,494,238,254,126, 78,334,326,134,158)
( 32, 56,440,408,472,496,240,256,128, 80,336,328,136,160)
( 33,305,417,273,481,297,225,313, 97,265,353,257,161,281)
( 34,309,423,275,482,301,231,315, 98,269,359,259,162,285, 39,307,418,
277,487,299,226,317,103,267,354,261,167,283)( 35,306,421,279,483,298,
229,319, 99,266,357,263,163,282, 37,311,419,274,485,303,227,314,101,
271,355,258,165,287)( 36,308,420,276,484,300,228,316,100,268,356,260,
164,284)( 38,310,422,278,486,302,230,318,102,270,358,262,166,286)
( 40,312,424,280,488,304,232,320,104,272,360,264,168,288)
( 57,113,393,337,449,169,217)( 58,117,399,339,450,173,223, 59,114,397,
343,451,170,221, 63,115,394,341,455,171,218, 61,119,395,338,453,175,
219)( 60,116,396,340,452,172,220)( 62,118,398,342,454,174,222)
( 64,120,400,344,456,176,224)(290,293,295,291) ] ],
[ 5, 98322481152000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"Alt(8)^3.Alt(4)", [ "A", 8, 3 ],
[ ( 1,116,265, 71,332,279,323, 20,307)( 2,436,313, 72,460,295,326,212,299)
( 3, 52,305, 65, 76,271,327,340,275)( 4,308,257, 68,268,263,324,276,
259)( 5,180,281, 69,140,287,325,148,283)( 6,244,297, 66,396,319,
328,468,291)( 7,372,273, 67, 12,311,321, 84,267)( 8,500,289, 70,
204,303,322,404,315)( 9,119,329, 87,331, 23,371, 17,115)
( 10,439,377, 88,459, 39,374,209,107)( 11, 55,369, 81, 75, 15,375,337,
83)( 13,183,345, 85,139, 31,373,145, 91)( 14,247,361, 82,395, 63,376,
465, 99)( 16,503,353, 86,203, 47,370,401,123)( 18,435, 57,120,457,
103,334,215,363)( 19, 51, 49,113, 73, 79,335,343,339)
( 21,179, 25,117,137, 95,333,151,347)( 22,243, 41,114,393,127,336,471,
355)( 24,499, 33,118,201,111,330,407,379)( 26,437,185, 96,461,167,
350,213,171)( 27, 53,177, 89, 77,143,351,341,147)( 28,309,129, 92,
269,135,348,277,131)( 29,181,153, 93,141,159,349,149,155)
( 30,245,169, 90,397,191,352,469,163)( 32,501,161, 94,205,175,346,405,
187)( 34,438,249,112,458,423,382,216,491)( 35, 54,241,105, 74,399,
383,344,467)( 36,310,193,108,266,391,380,280,451)( 37,182,217,109,
138,415,381,152,475)( 38,246,233,106,394,447,384,472,483)
( 40,502,225,110,202,431,378,408,507)( 42,434,441,128,464,487,358,214,
235)( 43, 50,433,121, 80,463,359,342,211)( 44,306,385,124,272,455,
356,278,195)( 45,178,409,125,144,479,357,150,219)( 46,242,425,122,
400,511,360,470,227)( 48,498,417,126,208,495,354,406,251)
( 56,497, 97, 78,207,367,338,403, 59)( 58,440,505,104,462,231,366,210,
427)( 60,312,449,100,270,199,364,274,387)( 61,184,473,101,142,223,
365,146,411)( 62,248,489, 98,398,255,368,466,419)( 64,504,481,102,
206,239,362,402,443)(130,412,317,136,476,293,134,220,301)
(132,284,261)(133,156,285)(154,413,189,160,477,165,158,221,173)
(162,414,253,176,474,421,190,224,493)(164,286,197,172,282,389,188,288,
453)(166,222,237,170,410,445,192,480,485)(168,478,229,174,218,429,
186,416,509)(194,428,314,392,508,296,454,228,302)(196,300,258,388,
316,264,452,292,262)(198,236,298,386,444,320,456,484,294)
(200,492,290,390,252,304,450,420,318)(226,430,250,432,506,424,510,232,
494)(230,238,234,426,442,448,512,488,486)(240,490,418,446,256,496,
482,422,254), ( 1,385,393,400,208,232,231,359,351,346, 90,114,118,
502,510,509,189,173,171, 43, 3)( 2, 65,433,398,464,256,229,167,367,
347, 26, 66,113,438,462,512,253,165,175,363, 27)( 4,257,401,396,272,
216,228,295,343,348,282, 82,116,310,470,508,317,149,172,299, 19)
( 5,129,425,395, 16,200,225,423,335,352,218, 98,119,374,478,506,125,
181,174,491, 59)( 6,449,441,397,144,240,227, 39,327,345,410, 74,120,
246,486,511,381,157,170,107, 51)( 7,321,409,394, 80,248,230,487,383,
349,154,106,115, 54,454,505,445,141,176,235, 35)( 8,193,417,399,336,
224,226,103,375,350,474,122,117,182,494,507, 61,133,169,427, 11)
( 9,392,201,424,207,360,223,354, 95,370, 94,498,126,501,190,493,187,
45,131, 41,387)( 10, 72,241,422,463,384,221,162,111,371, 30,450,121,
437,142,496,251, 37,135,361,411)( 12,264,209,420,271,344,220,290, 87,
372,286,466,124,309,150,492,315, 21,132,297,403)( 13,136,233,419, 15,
328,217,418, 79,376,222,482,127,373,158,490,123, 53,134,489,443)
( 14,456,249,421,143,368,219, 34, 71,369,414,458,128,245,166,495,379,
29,130,105,435)( 17,388,265,408,204,296,215,356,287,338, 92,306, 86,
500,318,469,188,301,147, 44,259)( 18, 68,305,406,460,320,213,164,303,
339, 28,258, 81,436,270,472,252,293,151,364,283)( 20,260,273,404,268,
280,212,292,279,340,284,274, 84,308,278,468,316,277,148,300,275)
( 22,452,313,405,140,304,211, 36,263,337,412,266, 88,244,294,471,380,
285,146,108,307)( 23,324,281,402, 76,312,214,484,319,341,156,298, 83,
52,262,465,444,269,152,236,291)( 24,196,289,407,332,288,210,100,311,
342,476,314, 85,180,302,467, 60,261,145,428,267)( 25,386, 73,440,206,
488,255,357,159,362, 91, 50, 70,497,446,461,192,237,163, 47,323)
( 31,322, 89,434, 78,504,254,485,191,365,155, 42, 67, 49,390,457,448,
205,168,239,355)( 32,194, 97,439,334,480,250,101,183,366,475, 58, 69,
177,430,459, 64,197,161,431,331)( 33,391,329,416,202,104,247,358,479,
378, 93,178,110,499, 62,453,185,429,139, 48,195)( 38,455,377,413,138,
112,243)( 40,199,353,415,330, 96,242,102,503,382,477,186,109,179, 46,
451, 57,389,137,432,203)( 55,326,473,442, 77,184,238,483, 63,325,153,
426, 75, 56,198,481,447,333,160,234, 99) ] ],
[ 6, 98322481152000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"Alt(8)^3.D_12", [ "A", 8, 3 ],
[ ( 1,470,207,131, 30,212, 71,190,217,452, 78,251)( 2,278,231,133,414,244,
72,382,233,450,270,227, 5,406,247,136,350,236, 66,318,225,453,398,
243, 8,342,239,130,286,228, 69,446,241,456,334,235)( 3, 22,215,135,
158,220, 68,126,249,449,462,203)( 4, 86,255,129,478,204, 67, 62,209,
455,142,219)( 6,214,199,134,222,196, 70,254,193,454,206,195)
( 7,150,223,132, 94,252, 65,510,201,451, 14,211)( 9,467, 15,147, 31,
148, 95,188, 89,508, 73,507)( 10,275, 39,149,415,180, 96,380,105,506,
265,483, 13,403, 55,152,351,172, 90,316, 97,509,393,499, 16,339, 47,
146,287,164, 93,444,113,512,329,491)( 11, 19, 23,151,159,156, 92,124,
121,505,457,459)( 12, 83, 63,145,479,140, 91, 60, 81,511,137,475)
( 17,471,143,155, 28, 84,127,185,473,460, 75, 59)( 18,279,167,157,412,
116,128,377,489,458,267, 35, 21,407,183,160,348,108,122,313,481,461,
395, 51, 24,343,175,154,284,100,125,441,497,464,331, 43)
( 20, 87,191,153,476, 76,123, 57,465,463,139, 27)( 25,468, 79,187)
( 26,276,103,189,409,500, 80,379, 41,466,271,163, 29,404,119,192,345,
492, 74,315, 33,469,399,179, 32,340,111,186,281,484, 77,443, 49,472,
335,171)( 34,277,423,181,416,372,112,378,297,482,269,419, 53,408,375,
176,346,300, 98,317,417,501,400,371, 48,338,303,162,285,420,117,448,
369,496,330,299)( 36, 85,447,177,480,332,107, 58,273,487,141,411, 52,
88,383,169,474,268, 99, 61,401,503,144,347, 44, 82,319,161,477,396,
115, 64,337,495,138,283)( 37,405,439,184,352,364,106,314,289,485,397,
435, 56,344,367,170,282,292,101,445,433,504,336,363, 42,274,295,165,
413,436,120,384,361,490,266,291)( 38,213,391,182,224,324,110,250,257,
486,205,387, 54,216,327,174,218,260,102,253,385,502,208,323, 46,210,
263,166,221,388,118,256,321,494,202,259)( 40,341,431,178,288,356,109,
442,305,488,333,427, 50,280,359,173,410,308,104,381,425,498,272,355,
45,402,311,168,349,428,114,320,353,493,394,307)(194,262,230,197,390,
246,200,326,238)(226,261,422,245,392,374,240,322,302)
(229,389,438,248,328,366,234,258,294)(232,325,430,242,264,358,237,386,
310)(290,293,421,437,440,376,368,362,298)(296,357,429,434,312,360,
365,426,306)(301,418,309,424,373,432,370,304,354),
( 1,372, 61,476, 42,140, 19, 68, 54,316, 32,428, 15,212)
( 2,180, 59, 92, 46,268, 24,388, 55,252, 25,364, 13,468)
( 3,116, 62,284, 48,396, 23,196, 49,380, 29,492, 10,148)
( 4, 52, 60, 28, 44, 12, 20)( 5,500, 58,156, 43, 76, 22,260, 56,444,
31,236, 9,340)( 6,308, 64,412, 47,204, 17,324, 53,508, 26,172, 11,
84)( 7,244, 57,348, 45,460, 18,132, 51,124, 30,300, 16,404)
( 8,436, 63,220, 41,332, 21,452, 50,188, 27,108, 14,276)
( 33,356, 37,484, 34,164, 35,100, 38,292, 40,420, 39,228)
( 65,374,317,480,426,143,211)( 66,182,315, 96,430,271,216,385,375,253,
473,362,141,467)( 67,118,318,288,432,399,215,193,369,381,477,490,138,
147)( 69,502,314,160,427, 79,214,257,376,445,479,234,137,339)
( 70,310,320,416,431,207,209,321,373,509,474,170,139, 83)
( 71,246,313,352,429,463,210,129,371,125,478,298,144,403)
( 72,438,319,224,425,335,213,449,370,189,475,106,142,275)
( 73,342,261,504,442,159,235)( 74,150,259,120,446,287,240,393,343,197,
497,378,157,491)( 75, 86,262,312,448,415,239,201,337,325,501,506,154,
171)( 77,470,258,184,443, 95,238,265,344,389,503,250,153,363)
( 78,278,264,440,447,223,233,329,341,453,498,186,155,107)
( 80,406,263,248,441,351,237,457,338,133,499,122,158,299)
( 81,326,309,512,410,175,203)( 82,134,307,128,414,303,208,401,327,245,
505,346,173,459)( 85,454,306,192,411,111,206,273,328,437,511,218,169,
331)( 87,198,305,384,413,495,202,145,323,117,510,282,176,395)
( 88,390,311,256,409,367,205,465,322,181,507, 90,174,267)
( 89,366,269,472,386,183,251)( 91,110,270,280,392,439,255,217,361,333,
469,450,178,187)( 93,494,266,152,387,119,254,281,368,397,471,194,177,
379)( 94,302,272,408,391,247,249,345,365,461,466,130,179,123)
( 97,358,293,488,418,167,227)( 98,166,291,104,422,295,232,417,359,229,
481,354,165,483)( 99,102,294,296,424,423,231,225,353,357,485,482,162,
163)(101,486,290,168,419,103,230,289,360,421,487,226,161,355)
(105,334,277,456,434,191,219)(109,462,274,136,435,127,222,297,336,405,
455,242,185,347)(112,398,279,200,433,383,221,489,330,149,451,114,190,
283)(113,382,285,496,394,151,195)(115,126,286,304,400,407,199,241,
377,349,493,458,146,131)(121,350,301,464,402,135,243) ] ],
[ 7, 196644962304000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"Sym(8) wreath Alt(3)", [ "A", 8, 3 ],
[ ( 1,146,499,294,336,237, 68,159,443, 33,338,501,262,144,235,100,351,445)
( 2,178,307,296,368,109, 71,191, 59, 34,370,309,264,176,107,103,383,
61)( 3,162,371,293,328,173, 67,167,379, 37,322,181,259,168,363,101,
327,189)( 4,154,435,289,344,493, 70,143,251, 36,346,437,257,152,491,
102,335,253)( 5,130,179,291,360,365, 69,135,187, 35,354,373,261,136,
171, 99,359,381)( 6,138,243,292,352,429, 65,151,507, 38,330,245,260,
160,427, 97,343,509)( 7,186, 51,290,376,301, 72,175,123, 39,378, 53,
258,184,299,104,367,125)( 8,170,115,295,384, 45, 66,183,315, 40,362,
117,263,192, 43, 98,375,317)( 9,210,500,286,400,233, 84,479,446)
( 10,242,308,288,432,105, 87,511, 62)( 11,226,372,285,392,169, 83,487,
382, 13,194,180,283,424,361, 85,455,190)( 12,218,436,281,408,489, 86,
463,254)( 14,202,244,284,416,425, 81,471,510)( 15,250, 52,282,440,
297, 88,495,126)( 16,234,116,287,448, 41, 82,503,318)
( 17,466,502,270,208,236, 92,415,441)( 18,498,310,272,240,108, 95,447,
57)( 19,482,374,269,200,172, 91,423,377, 21,450,182,267,232,364, 93,
391,185)( 20,474,438,265,216,492, 94,399,249)( 22,458,246,268,224,
428, 89,407,505)( 23,506, 54,266,248,300, 96,431,121)
( 24,490,118,271,256, 44, 90,439,313)( 25,402,497,278,464,238, 76,223,
444)( 26,434,305,280,496,110, 79,255, 60)( 27,418,369,277,456,174,
75,231,380, 29,386,177,275,488,366, 77,199,188)( 28,410,433,273,472,
494, 78,207,252)( 30,394,241,276,480,430, 73,215,508)
( 31,442, 49,274,504,302, 80,239,124)( 32,426,113,279,512, 46, 74,247,
316)( 42,114,311,320, 48,106,119,319, 64)( 47,122, 55,314, 56,298,
120,303,128)( 50,306,312,304,112,111,127, 63, 58)(129,147,483,358,
333,197,132,155,419,353,341,453,134,139,227,356,349,389)
(131,163,355,357,325,133)(137,211,484,350,397,193,148,475,422,329,213,
452,158,395,225,340,477,390)(140,219,420,345,405,449,150,459,230,332,
221,388,153,403,481,342,461,198)(141,195,164,347,421,321,149,451,166,
331,229,324,157,387,161,339,485,326)(142,203,228,348,413,385,145,467,
486,334,205,196,156,411,417,337,469,454)(165,323)(201,212,476,414,
393,209,468,478,398)(204,220,412,409,401,465,470,462,206)
(214,460,222,396,217,404,473,406,457),
( 1,177,148, 18,306,268, 14,438,412, 27,243,236, 48,504,452)
( 2,305,140, 22,434,284, 11,246,428, 32,499,196, 41,184,468)
( 3,241,172, 24,498,260, 9,182,404, 26,307,204, 46,440,476)
( 4, 49,180, 20, 50,308, 12, 54,436, 28, 51,244, 44, 56,500)
( 5,369,164, 23,114,316, 13,374,420, 31,115,252, 45,376,484, 7,113,
188, 21,370,292, 15,118,444, 29,371,228, 47,120,508)( 6,433,156, 19,
242,300, 16,502,388, 25,179,212, 42,312,460)( 8,497,132, 17,178,276,
10,310,396, 30,435,220, 43,248,492)( 33,183, 84, 58,309,332, 38,439,
92, 59,245,364, 40,503, 68, 57,181,340, 34,311, 76, 62,437,348, 35,
247,108, 64,501,324)( 36, 55,116, 60, 53,372)( 37,375,100, 63,117,380
)( 39,119,124, 61,373,356)( 65,185,149,338,290,271, 78,446,413,347,
227,239,112,512,453,321,161,151, 82,314,269,334,422,415, 91,251,237,
368,488,455)( 66,313,141,342,418,287, 75,254,429,352,483,199,105,192,
469,322,289,143, 86,442,285,331,230,431, 96,507,197,361,168,471)
( 67,249,173,344,482,263, 73,190,405,346,291,207,110,448,477,323,225,
175, 88,506,261,329,166,407, 90,315,205,366,424,479)( 69,377,165,343,
98,319, 77,382,421,351, 99,255,109,384,485,327, 97,191, 85,378,293,
335,102,447, 93,379,229,367,104,511)( 70,441,157,339,226,303, 80,510,
389,345,163,215,106,320,461,326,417,159, 83,250,301,336,486,391, 89,
187,213,362,296,463)( 71,121,189,341,354,295, 79,126,445,349,355,231,
111,128,509,325,353,167, 87,122,317,333,358,423, 95,123,253,365,360,
487)( 72,505,133,337,162,279, 74,318,397,350,419,223,107,256,493,328,
481,135, 81,186,277,330,294,399, 94,443,221,363,232,495)(101,383)
(103,127,125,381,357,359)(129,145,146,274,266,270,398,414,411,219,235,
240,496,456,449)(130,273,138,278,394,286,395,222,427,224,491,200,489,
136,465)(131,209,170,280,458,262,393,158,403,218,299,208,494,392,473)
(134,401,154,275,202,302,400,478,387,217,171,216,490,264,457)
(137,150,402,282,267,206,430,416,475,195,233,176,472,450,257)
(139,214,426,288,459,198,425,160,467,194,297,144,470,386,281)
(142,406,410,283,203,238,432,480,451,193,169,152,466,258,265)
(147,210,298,272,462,390,409,155,211,234,304,464,454,385,153)
(174,408,474,259,201) ] ],
[ 8, 196644962304000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"Alt(8)^3.Sym(4)", [ "A", 8, 3 ],
[ ( 1, 94, 9,350, 11,374,459,375,451,119,449, 95)( 2,110,137,348, 19,438,
458,367,131,116,465,415)( 3,118,457,351)( 4, 86,393,346, 43,182,
460,343,387,114,489,159)( 5,126,201,349, 59,246,461,383,195,117,505,
223)( 6, 78,329,347, 51,502,463,327, 67,113,473, 31)
( 7, 70, 73,345, 27, 54,462,335,323,115,497,479)( 8,102,265,352, 35,
310,464,359,259,120,481,287)( 10,366,139,372,467,439,450,111,129, 92,
17,414)( 12,342,395,370,491,183,452, 87,385, 90, 41,158)
( 13,382,203,373,507,247,453,127,193, 93, 57,222)( 14,334,331,371,499,
503,455, 71, 65, 89, 25, 30)( 15,326, 75,369,475, 55,454, 79,321, 91,
49,478)( 16,358,267,376,483,311,456,103,257, 96, 33,286)
( 18,430,138,364,147,436,466,431,130,108,145,412)( 20,406,394,362,171,
180,468,407,386,106,169,156)( 21,446,202,365,187,244,469,447,194,109,
185,220)( 22,398,330,363,179,500,471,391, 66,105,153, 28)
( 23,390, 74,361,155, 52,470,399,322,107,177,476)( 24,422,266,368,163,
308,472,423,258,112,161,284)( 26, 46,142,332,339,435,498,495,135, 68,
81,409)( 29, 62,206,333,379,243,501,511,199, 69,121,217)
( 32, 38,270,336,355,307,504,487,263, 72, 97,281)( 34,302,144,356,275,
440,482,303,136,100,273,416)( 36,278,400,354,299,184,484,279,392, 98,
297,160)( 37,318,208,357,315,248,485,319,200,101,313,224)
( 39,262, 80,353,283, 56,486,271,328, 99,305,480)( 40,294,272,360,291,
312,488,295,264,104,289,288)( 42,174,140,340,403,434,490,175,132, 84,
401,410)( 44,150,396,338,427,178,492,151,388, 82,425,154)
( 45,190,204,341,443,242,493,191,196, 85,441,218)( 47,134, 76,337,411,
50,494,143,324, 83,433,474)( 48,166,268,344,419,306,496,167,260, 88,
417,282)( 53,510,207,325,123,241,477, 63,198, 77,377,219)
( 58,238,141,380,211,437,506,239,133,124,209,413)( 60,214,397,378,235,
181,508,215,389,122,233,157)( 61,254,205,381,251,245,509,255,197,125,
249,221)( 64,230,269,384,227,309,512,231,261,128,225,285)(146,428)
(148,404,402,426,170,172)(149,444,210,429,186,236)(152,420,274,432,
162,300)(164,276,408,418,298,176)(165,316,216,421,314,240)
(168,292,280,424,290,304)(173,188,212,405,442,234)(189,252,213,445,
250,237)(192,228,277,448,226,301)(229,317,256)(232,293,320),
( 1,125,343,417,269, 47,505,349,231,305,173,455, 89,213,439,137, 5,
127,337,421,271, 41,509,351,225,309,175,449, 93,215,433,141, 7,121,
341,423,265, 45,511,345,229,311,169,453, 95,209,437,143)
( 2,126,344,419,266, 46,512,347,226,310,176,451, 90,214,440,139)
( 3,122,342,424,267, 42,510,352,227,306,174,456, 91,210,438,144)
( 4,124,340,420,268, 44,508,348,228,308,172,452, 92,212,436,140)
( 6,128,339,418,270, 48,507,346,230,312,171,450, 94,216,435,138)
( 8,123,338,422,272, 43,506,350,232,307,170,454, 96,211,434,142)
( 9, 61,383,353,293,303,489,477,223,241,181,135, 65, 85,407,393, 13,
63,377,357,295,297,493,479,217,245,183,129, 69, 87,401,397, 15, 57,
381,359,289,301,495,473,221,247,177,133, 71, 81,405,399)
( 10, 62,384,355,290,302,496,475,218,246,184,131, 66, 86,408,395)
( 11, 58,382,360,291,298,494,480,219,242,182,136, 67, 82,406,400)
( 12, 60,380,356,292,300,492,476,220,244,180,132, 68, 84,404,396)
( 14, 64,379,354,294,304,491,474,222,248,179,130, 70, 88,403,394)
( 16, 59,378,358,296,299,490,478,224,243,178,134, 72, 83,402,398)
( 17,445,335, 33,317,367,481,285,239,497,157,199,113,149,391, 73, 21,
447,329, 37,319,361,485,287,233,501,159,193,117,151,385, 77, 23,441,
333, 39,313,365,487,281,237,503,153,197,119,145,389, 79)
( 18,446,336, 35,314,366,488,283,234,502,160,195,114,150,392, 75)
( 19,442,334, 40,315,362,486,288,235,498,158,200,115,146,390, 80)
( 20,444,332, 36,316,364,484,284,236,500,156,196,116,148,388, 76)
( 22,448,331, 34,318,368,483,282,238,504,155,194,118,152,387, 74)
( 24,443,330, 38,320,363,482,286,240,499,154,198,120,147,386, 78)
( 25,253,375,161,261,111,465,413,207, 49,189,327, 97,277,431,457, 29,
255,369,165,263,105,469,415,201, 53,191,321,101,279,425,461, 31,249,
373,167,257,109,471,409,205, 55,185,325,103,273,429,463)
( 26,254,376,163,258,110,472,411,202, 54,192,323, 98,278,432,459)
( 27,250,374,168,259,106,470,416,203, 50,190,328, 99,274,430,464)
( 28,252,372,164,260,108,468,412,204, 52,188,324,100,276,428,460)
( 30,256,371,162,262,112,467,410,206, 56,187,322,102,280,427,458)
( 32,251,370,166,264,107,466,414,208, 51,186,326,104,275,426,462) ] ],
[ 9, 196644962304000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"Alt(8)^3.Sym(4)", [ "A", 8, 3 ],
[ ( 1,222,357, 47,156,509, 18,288,389, 54,347,109, 12,473,213, 40,415,181,
59, 90,269)( 2,286,325, 46,348,493, 20,480,405, 56,411,117, 11, 89,
205, 33,223,165, 63,154,317)( 3, 94,333, 41,220,485, 23,160,445, 50,
283, 69, 14,345,237, 36,479,149, 64,410,309)( 4,478,341, 48,412,501,
19, 96,397, 49,219,101, 15,153,253, 34,287,133, 62,346,301)
( 5, 30,349, 45, 28,477, 21, 32,413, 53, 27, 93, 13, 25,221, 37, 31,
157, 61, 26,285)( 6,350,365, 44,476,469, 24,416,437, 51, 91, 77, 9,
217,229, 39,159,189, 58,282,261)( 7,158,381, 42,284,453, 22,352,429,
52,475, 85, 16,409,245, 35, 95,141, 57,218,293)( 8,414,373, 43, 92,
461, 17,224,421, 55,155,125, 10,281,197, 38,351,173, 60,474,277)
( 65,206,353,239,164,511,146,320,386,310,323,110,332,489,212,488,407,
184,443,114,267)( 66,270,321,238,356,495,148,512,402,312,387,118,331,
105,204,481,215,168,447,178,315)( 67, 78,329,233,228,487,151,192,442,
306,259, 70,334,361,236,484,471,152,448,434,307)( 68,462,337,240,420,
503,147,128,394,305,195,102,335,169,252,482,279,136,446,370,299)
( 71,142,377,234,292,455,150,384,426,308,451, 86,336,425,244,483, 87,
144,441,242,291)( 72,398,369,235,100,463,145,256,418,311,131,126,330,
297,196,486,343,176,444,498,275)( 73,201,225,231,167,191,186,314,258,
262,326,366,364,492,468,472,408,440,435,115, 75)( 74,265,193,230,359,
175,188,506,274,264,390,374,363,108,460,465,216,424,439,179,123)
( 76,457,209,232,423,183,187,122,266,257,198,358,367,172,508,466,280,
392,438,371,107)( 79,137,249,226,295,135,190,378,298,260,454,342,368,
428,500,467, 88,400,433,243, 99)( 80,393,241,227,103,143,185,250,290,
263,134,382,362,300,452,470,344,432,436,499, 83)( 81,208,417,247,163,
127,138,313,194,294,327,174,380,490,276,456,406,376,427,116,459)
( 82,272,385,246,355,111,140,505,210,296,391,182,379,106,268,449,214,
360,431,180,507)( 84,464,401,248,419,119,139,121,202,289,199,166,383,
170,316,450,278,328,430,372,491)( 97,207,161,255,162,319,130,318,322,
302,324,494,340,496,404,504,403,120,395,113,203)( 98,271,129,254,354,
303,132,510,338,304,388,502,339,112,396,497,211,104,399,177,251)
(124,458,273,200,422,375,171),
( 1, 53,509,466,194,243,187,150,326,375,127, 81)( 2,245,507,146,198,
371,191, 86,321, 55,125,465)( 3,181,510,338,199,115,185, 22,325,503,
122,209)( 4,309,512,402,196,307,192,406,324,311,128,401)
( 5,501,506,210,195,179,190,342,327,119,121, 17)( 6,373,511, 82,193,
51,189,470,322,247,123,145)( 7,117,505, 18,197,499,186,214,323,183,
126,337)( 8,437,508,274,200,435,188,278,328,439,124,273)
( 9, 29,493,458,218,235,139,158,366,335, 95,105)( 10,221,491,138,222,
363,143, 94,361, 15, 93,489)( 11,157,494,330,223,107,137, 30,365,463,
90,233)( 12,285,496,394,220,299,144,414,364,271, 96,425)
( 13,477,490,202,219,171,142,350,367, 79, 89, 41)( 14,349,495, 74,217,
43,141,478,362,207, 91,169)( 16,413,492,266,224,427,140,286,368,399,
92,297)( 19,133,502,378,215, 67,177, 62,341,455,114,249)
( 20,261,504,442,212,259,184,446,340,263,120,441)( 21,453,498,250,211,
131,182,382,343, 71,113, 57)( 23, 69,497, 58,213,451,178,254,339,135,
118,377)( 24,389,500,314,216,387,180,318,344,391,116,313)
( 25, 45,461,474,234,203,155,174,334,351,111, 73)( 26,237,459,154,238,
331,159,110,329, 31,109,457)( 27,173,462,346,239, 75,153, 46,333,479,
106,201)( 28,301,464,410,236,267,160,430,332,287,112,393)
( 32,429,460,282,240,395,156,302,336,415,108,265)( 33, 37,485,482,226,
227,163,166,358,359,103, 97)( 34,229,483,162,230,355,167,102,353, 39,
101,481)( 35,165,486,354,231, 99,161, 38,357,487, 98,225)
( 36,293,488,418,228,291,168,422,356,295,104,417)( 40,421,484,290,232,
419,164,294,360,423,100,289)( 42,205,475,170,206,347,175, 78,345, 47,
77,473)( 44,269,480,426,204,283,176,398,348,303, 80,409)
( 48,397,476,298,208,411,172,270,352,431, 76,281)( 49, 61,469,450,242,
251,147,134,374,383, 87, 65)( 50,253,467,130,246,379,151, 70,369, 63,
85,449)( 52,317,472,386,244,315,152,390,372,319, 88,385)
( 54,381,471, 66,241, 59,149,454,370,255, 83,129)( 56,445,468,258,248,
443,148,262,376,447, 84,257)( 60,277,456,434,252,275,136,438,380,279,
72,433)( 64,405,452,306,256,403,132,310,384,407, 68,305)
(260,312,448,404)(264,440,444,276)(268,288,432,396,284,304,400,412,
300,272,416,428)(280,392,436,316)(292,296,424,420)(308,320,408,388)
] ],
[ 10, 393289924608000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"Sym(8) wreath Sym(3)", [ "A", 8, 3 ],
[ ( 1,119,154,417, 69,287,145,104, 29,305, 82,416)( 2,439,130,423,133,295,
149,296, 21,312, 18,440)( 3,247,170,419,197,303,147,232, 45,307,210,
432)( 4,375,138,420,325,271,148,360, 13,308,338,400)( 5,311,146,424
)( 6,503,186,422,453,319,150,488, 61,310,466,448)( 7,183,162,421,
261,279,152, 40, 53,306,402,392)( 8, 55,178,418,389,263,151,168, 37,
309,274,408)( 9,116,346,393, 68,351,137,100,349,265, 84,352)
( 10,436,322,399,132,359,141,292,341,272, 20,376)( 11,244,362,395,196,
367,139,228,365,267,212,368)( 12,372,330,396,324,335,140,356,333,268,
340,336)( 14,500,378,398,452,383,142,484,381,270,468,384)
( 15,180,354,397,260,343,144, 36,373,266,404,328)( 16, 52,370,394,388,
327,143,164,357,269,276,344)( 17,120, 26,433, 66,415,129,103,157,289,
85,288)( 19,248, 42,435,194,431,131,231,173,291,213,304)
( 22,504, 58,438,450,447,134,487,189,294,469,320)( 23,184, 34,437,258,
407,136, 39,181,290,405,264)( 24, 56, 50,434,386,391,135,167,165,293,
277,280)( 25,113, 90,409, 65, 95,153, 97, 93,281, 81, 96)
( 27,241,106,411,193,111,155,225,109,283,209,112)( 28,369, 74,412,321,
79,156,353, 77,284,337, 80)( 30,497,122,414,449,127,158,481,125,286,
465,128)( 31,177, 98,413,257, 87,160, 33,117,282,401, 72)
( 32, 49,114,410,385, 71,159,161,101,285,273, 88)( 35,245,298,403,200,
47,179,226,429,259,215,176)( 38,501,314,406,456, 63,182,482,445,262,
471,192)( 41,115,218,425, 67,223,169, 99,221,297, 83,224)
( 43,243,234,427,195,239,171,227,237,299,211,240)( 44,371,202,428,323,
207,172,355,205,300,339,208)( 46,499,250,430,451,255,174,483,253,302,
467,256)( 48, 51,242,426,387,199,175,163,229,301,275,216)
( 54,498,442,390,455,191,166,485,317,278,472, 64)( 57,118,474,441, 70,
479,185,102,477,313, 86,480)( 59,246,490,443,198,495,187,230,493,315,
214,496)( 60,374,458,444,326,463,188,358,461,316,342,464)
( 62,502,506,446,454,511,190,486,509,318,470,512)( 73, 92,345)
( 75,220,361)( 76,348,329)( 78,476,377)( 91,217,105)( 94,473,121)
(107,219,233)(108,347,201)(110,475,249)(123,222,489)(124,350,457)
(126,478,505)(203,236,363)(204,364,331)(206,492,379)(238,491,251)
(252,366,459)(254,494,507)(334,460,380)(382,462,508),
( 1,370, 59, 66, 49,378, 3,114, 57,322, 51,122)( 2, 50, 58)
( 4,178, 60,130, 52,186)( 5,434, 64,450, 53,442, 8,498, 61,386, 56,
506)( 6,306, 63,194, 54,314, 7,242, 62,258, 55,250)
( 9,338, 27, 74, 17,346, 11, 82, 25,330, 19, 90)( 10, 18, 26)
( 12,146, 28,138, 20,154)( 13,402, 32,458, 21,410, 16,466, 29,394, 24,
474)( 14,274, 31,202, 22,282, 15,210, 30,266, 23,218)( 33,354, 35, 98
)( 36,162)( 37,418, 40,482)( 38,290, 39,226)( 41,362, 43,106)
( 44,170)( 45,426, 48,490)( 46,298, 47,234)( 65,369,379, 67,113,377,
323,115,121,321,371,123)( 68,177,380,131,116,185,324,179,124,129,372,
187)( 69,433,384,451,117,441,328,499,125,385,376,507)
( 70,305,383,195,118,313,327,243,126,257,375,251)( 71,241,382,259,119,
249,326,307,127,193,374,315)( 72,497,381,387,120,505,325,435,128,449,
373,443)( 73,337,347, 75, 81,345,331, 83, 89,329,339, 91)
( 76,145,348,139, 84,153,332,147, 92,137,340,155)( 77,401,352,459, 85,
409,336,467, 93,393,344,475)( 78,273,351,203, 86,281,335,211, 94,265,
343,219)( 79,209,350,267, 87,217,334,275, 95,201,342,283)
( 80,465,349,395, 88,473,333,403, 96,457,341,411)( 97,353,355, 99)
(100,161,356,163)(101,417,360,483)(102,289,359,227)(103,225,358,291)
(104,481,357,419)(105,361,363,107)(108,169,364,171)(109,425,368,491)
(110,297,367,235)(111,233,366,299)(112,489,365,427)(132,180,188)
(133,436,192,452,181,444,136,500,189,388,184,508)(134,308,191,196,182,
316,135,244,190,260,183,252)(140,148,156)(141,404,160,460,149,412,
144,468,157,396,152,476)(142,276,159,204,150,284,143,212,158,268,151,
220)(165,420,168,484)(166,292,167,228)(173,428,176,492)
(174,300,175,236)(197,438,320,455,245,446,264,503,253,390,312,511)
(198,310,319,199,246,318,263,247,254,262,311,255)(200,502,317,391,248,
510,261,439,256,454,309,447)(205,406,288,463,213,414,272,471,221,398,
280,479)(206,278,287,207,214,286,271,215,222,270,279,223)
(208,470,285,399,216,478,269,407,224,462,277,415)(229,422,296,487)
(230,294,295,231)(232,486,293,423)(237,430,304,495)(238,302,303,239)
(240,494,301,431)(389,440,512,453,437,448,456,501,445,392,504,509)
(397,408,480,461,405,416,464,469,413,400,472,477)(421,424,488,485)
(429,432,496,493) ] ],
[ 11, 14224896, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"PSL(2, 7) wreath Alt(3)", [ "L", [ 2, 7 ], 3 ],
[ ( 1,467,429,318,136,371,412,122, 16,343,221,290)( 2, 19,405,317,264,323,
411,442, 64,344,349,282)( 3,403,445,320,328,347,410, 58, 24,341,285,
258)( 4, 83,397,319,200,355,409,506, 48,342,157,306)
( 5,275,389,315,392,379,416,378, 32,338, 29,274)( 6,147,437,316, 72,
331,415,250, 40,337,477,298)( 7,211,421,313,456,363,414,186, 56,340,
93,266)( 8,339,413,314)( 9,471,237,294,129,499,428,126,144,375,220,
98)( 10, 23,213,293,257,451,427,446,192,376,348, 90)( 11,407,253,296,
321,475,426, 62,152,373,284, 66)( 12, 87,205,295,193,483,425,510,176,
374,156,114)( 13,279,197,291,385,507,432,382,160,370, 28, 82)
( 14,151,245,292, 65,459,431,254,168,369,476,106)( 15,215,229,289,449,
491,430,190,184,372, 92, 74)( 17,469,301,262,131,435,444,128,336,351,
218, 34)( 18, 21,277,261,259,387,443,448,384,352,346, 26)
( 20, 85,269,263,195,419,441,512,368,350,154, 50)( 22,149,309,260, 67,
395,447,256,360,345,474, 42)( 25,466, 45,278,133,307,388,123,400,383,
224,354)( 27,402, 61,280,325,283,386, 59,408,381,288,322)
( 30,146, 53,276, 69,267,391,251,424,377,480,362)( 31,210, 37,273,453,
299,390,187,440,380, 96,330)( 33,465,493,302,134,179,436,124, 80,335,
223,226)( 35,401,509,304,326,155,434, 60, 88,333,287,194)
( 36, 81,461,303,198,163,433,508,112,334,159,242)( 38,145,501,300, 70,
139,439,252,104,329,479,234)( 39,209,485,297,454,171,438,188,120,332,
95,202)( 41,470,173,310,132,115,396,127,208,359,217,482)
( 43,406,189,312,324, 91,394, 63,216,357,281,450)( 44, 86,141,311,196,
99,393,511,240,358,153,498)( 46,150,181,308, 68, 75,399,255,232,353,
473,490)( 47,214,165,305,452,107,398,191,248,356, 89,458)
( 49,468,109,270,135,243,420,121,464,367,222,162)( 51,404,125,272,327,
219,418, 57,472,365,286,130)( 52, 84, 77,271,199,227,417,505,496,366,
158,178)( 54,148,117,268, 71,203,423,249,488,361,478,170)
( 55,212,101,265,455,235,422,185,504,364, 94,138)( 73,463,239,230,161,
497,492,110,142,183,244,100)( 76, 79,207,231,225,481,489,494,174,182,
180,116)( 78,143,247,228, 97,457,495,238,166,177,500,108)
(102,137,503,236)(103,201,487,233,486,169,502,172,118,140,119,204)
(105,462,175,246,164,113,460,111,206,167,241,484),
( 1,283, 60,257, 27,316)( 2,282, 58,258, 26,314)( 3,284, 57,259, 28,
313)( 4,281, 59,260, 25,315)( 5,286, 64,261, 30,320)
( 6,288, 61,262, 32,317)( 7,287, 63,263, 31,319)( 8,285, 62,264,
29,318)( 9,275, 52,265, 19,308)( 10,274, 50,266, 18,306)
( 11,276, 49,267, 20,305)( 12,273, 51,268, 17,307)( 13,278, 56,269,
22,312)( 14,280, 53,270, 24,309)( 15,279, 55,271, 23,311)
( 16,277, 54,272, 21,310)( 33,291, 36,289, 35,292)( 34,290)
( 37,294, 40,293, 38,296)( 39,295)( 41,299, 44,297, 43,300)( 42,298)
( 45,302, 48,301, 46,304)( 47,303)( 65,347,124,321, 91,380)
( 66,346,122,322, 90,378)( 67,348,121,323, 92,377)( 68,345,123,324,
89,379)( 69,350,128,325, 94,384)( 70,352,125,326, 96,381)
( 71,351,127,327, 95,383)( 72,349,126,328, 93,382)( 73,339,116,329,
83,372)( 74,338,114,330, 82,370)( 75,340,113,331, 84,369)
( 76,337,115,332, 81,371)( 77,342,120,333, 86,376)( 78,344,117,334,
88,373)( 79,343,119,335, 87,375)( 80,341,118,336, 85,374)
( 97,355,100,353, 99,356)( 98,354)(101,358,104,357,102,360)(103,359)
(105,363,108,361,107,364)(106,362)(109,366,112,365,110,368)(111,367)
(129,411,188,385,155,444)(130,410,186,386,154,442)(131,412,185,387,
156,441)(132,409,187,388,153,443)(133,414,192,389,158,448)
(134,416,189,390,160,445)(135,415,191,391,159,447)(136,413,190,392,
157,446)(137,403,180,393,147,436)(138,402,178,394,146,434)
(139,404,177,395,148,433)(140,401,179,396,145,435)(141,406,184,397,
150,440)(142,408,181,398,152,437)(143,407,183,399,151,439)
(144,405,182,400,149,438)(161,419,164,417,163,420)(162,418)
(165,422,168,421,166,424)(167,423)(169,427,172,425,171,428)(170,426)
(173,430,176,429,174,432)(175,431)(193,475,252,449,219,508)
(194,474,250,450,218,506)(195,476,249,451,220,505)(196,473,251,452,
217,507)(197,478,256,453,222,512)(198,480,253,454,224,509)
(199,479,255,455,223,511)(200,477,254,456,221,510)(201,467,244,457,
211,500)(202,466,242,458,210,498)(203,468,241,459,212,497)
(204,465,243,460,209,499)(205,470,248,461,214,504)(206,472,245,462,
216,501)(207,471,247,463,215,503)(208,469,246,464,213,502)
(225,483,228,481,227,484)(226,482)(229,486,232,485,230,488)(231,487)
(233,491,236,489,235,492)(234,490)(237,494,240,493,238,496)(239,495)
] ],
[ 12, 28449792, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"PSL(2, 7)^3.6", [ "L", [ 2, 7 ], 3 ],
[ ( 1,161,497,337, 25,137,505,321, 33,177,465,345, 9,185,449,353, 49,145,
473,329, 57,129,481,369, 17,153,457,377)( 2,168,499,338, 32,139,506,
328, 35,178,472,347, 10,192,451,354, 56,147,474,336, 59,130,488,371,
18,160,459,378, 8,163,498,344, 27,138,512,323, 34,184,467,346, 16,
187,450,360, 51,146,480,331, 58,136,483,370, 24,155,458,384, 3,162,
504,339, 26,144,507,322, 40,179,466,352, 11,186,456,355, 50,152,475,
330, 64,131,482,376, 19,154,464,379)( 4,167,501,340, 31,141,508,327,
37,180,471,349, 12,191,453,356, 55,149,476,335, 61,132,487,373, 20,
159,461,380, 7,165,500,343, 29,140,511,325, 36,183,469,348, 15,189,
452,359, 53,148,479,333, 60,135,485,372, 23,157,460,383, 5,164,503,
341, 28,143,509,324, 39,181,468,351, 13,188,455,357, 52,151,477,332,
63,133,484,375, 21,156,463,381)( 6,166,502,342, 30,142,510,326, 38,
182,470,350, 14,190,454,358, 54,150,478,334, 62,134,486,374, 22,158,
462,382)( 41,169,489,361)( 42,176,491,362, 48,171,490,368, 43,170,
496,363)( 44,175,493,364, 47,173,492,367, 45,172,495,365)
( 46,174,494,366)( 65,225,433,273, 89,201,441,257, 97,241,401,281, 73,
249,385,289,113,209,409,265,121,193,417,305, 81,217,393,313)
( 66,232,435,274, 96,203,442,264, 99,242,408,283, 74,256,387,290,120,
211,410,272,123,194,424,307, 82,224,395,314, 72,227,434,280, 91,202,
448,259, 98,248,403,282, 80,251,386,296,115,210,416,267,122,200,419,
306, 88,219,394,320, 67,226,440,275, 90,208,443,258,104,243,402,288,
75,250,392,291,114,216,411,266,128,195,418,312, 83,218,400,315)
( 68,231,437,276, 95,205,444,263,101,244,407,285, 76,255,389,292,119,
213,412,271,125,196,423,309, 84,223,397,316, 71,229,436,279, 93,204,
447,261,100,247,405,284, 79,253,388,295,117,212,415,269,124,199,421,
308, 87,221,396,319, 69,228,439,277, 92,207,445,260,103,245,404,287,
77,252,391,293,116,215,413,268,127,197,420,311, 85,220,399,317)
( 70,230,438,278, 94,206,446,262,102,246,406,286, 78,254,390,294,118,
214,414,270,126,198,422,310, 86,222,398,318)(105,233,425,297)
(106,240,427,298,112,235,426,304,107,234,432,299)(108,239,429,300,111,
237,428,303,109,236,431,301)(110,238,430,302),
( 1,226, 72,233,424,110,409,166, 91,137,483, 76,497,292,117,313, 37,122
)( 2,194,200,240,432,430,414,158,155,139,459,460,500,308,309,317,
61, 58)( 3,202,456,236,440,302,413,190, 27,138,451,204,504,300,437,
318, 29,186)( 4,242,264,237,448, 46,410,134,219,144,491,396,502,284,
181,315, 13,506)( 5,250, 8,234,392,238,416,174,411,142,475,140,499,
268,501,316, 53,314)( 6,218,136,235,400,494,412,182,283,141,507, 12,
498,260,245,320, 45,442)( 7,210,328,239,408,366,415,150,347,143,467,
332,503,276,373,319, 21,378)( 9,482, 68,241,296,109,441, 38, 90,129,
227, 80,489,420,118,281,165,123)( 10,450,196,248,304,429,446, 30,154,
131,203,464,492,436,310,285,189, 59)( 11,458,452,244,312,301,445, 62,
26,130,195,208,496,428,438,286,157,187)( 14,474,132,243,272,493,444,
54,282,133,251, 16,490,388,246,288,173,443)( 15,466,324,247,280,365,
447, 22,346,135,211,336,495,404,374,287,149,379)( 17,354, 71,209,360,
111,401,358, 95,145,355, 79,465,356,119,273,357,127)( 18,322,199,216,
368,431,406,350,159,147,331,463,468,372,311,277,381, 63)
( 19,330,455,212,376,303,405,382, 31,146,323,207,472,364,439,278,349,
191)( 20,370,263,213,384, 47,402,326,223,152,363,399,470,348,183,275,
333,511)( 23,338,327,215,344,367,407,342,351,151,339,335,471,340,375,
279,341,383)( 24,362,391,214,352,175,403,334,479,148,371,271,469,380,
55,274,325,255)( 25,162, 67,201,488,108,433,294, 93,185, 35, 74,449,
228,120,297,421,126)( 28,178,259,205,512, 44,434,262,221,192, 43,394,
454,220,184,299,397,510)( 32,170,387,206,480,172,435,270,477,188, 51,
266,453,252, 56,298,389,254)( 33, 98, 65,225,104,105,417,102, 89,161,
99, 73,481,100,113,289,101,121)( 34, 66,193,232,112,425,422, 94,153,
163, 75,457,484,116,305,293,125, 57)( 36,114,257,229,128, 41,418, 70,
217,168,107,393,486, 92,177,291, 77,505)( 39, 82,321,231, 88,361,423,
86,345,167, 83,329,487, 84,369,295, 85,377)( 40,106,385,230, 96,169,
419, 78,473,164,115,265,485,124, 49,290, 69,249)( 42,386,198,224,176,
427,398,478,156,179,267,461,508, 52,306,261,253, 64)( 48,426,390,222,
160,171,395,462,476,180,307,269,509, 60, 50,258,197,256)( 81,353,103)
( 87,337,359) ] ],
[ 13, 28449792, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"PSL(2, 7) wreath Sym(3)", [ "L", [ 2, 7 ], 3 ],
[ ( 1,454,222,159, 15,458,226,168, 48,491,211,148, 60,505,193,134, 30,479,
207,138, 34,488,240,171, 19,468,252,185)( 2,486,224,175, 11,466,228,
192, 41,451,214,156, 63,457,194,166, 32,495,203,146, 36,512,233,131,
22,476,255,137)( 3,470,220,191, 9,450,230,160, 47,459,210,164, 64,
489,195,150, 28,511,201,130, 38,480,239,139, 18,484,256,169)
( 4,510,217,135, 14,474,231,144, 42,483,216,172, 59,465,196,190, 25,
455,206,154, 39,464,234,163, 24,492,251,145)( 5,502,221,183, 13,498,
229,184, 45,499,213,180, 61,497,197,182, 29,503,205,178, 37,504,237,
179, 21,500,253,177)( 6,478,223,143, 10,482,232,176, 43,467,212,188,
57,449,198,158, 31,463,202,162, 40,496,235,147, 20,508,249,129)
( 7,462,218,167, 16,490,227,152, 44,507,209,132, 62,473,199,142, 26,
487,208,170, 35,472,236,187, 17,452,254,153)( 8,494,219,151, 12,506,
225,136, 46,475,215,140, 58,481,200,174, 27,471,204,186, 33,456,238,
155, 23,460,250,161)( 49,453,246,157, 55,461,242,165, 56,493,243,149,
52,509,241,133, 54,477,247,141, 50,485,248,173, 51,469,244,189)
( 53,501,245,181)( 65,262,350,415, 79,266,354,424,112,299,339,404,124,
313,321,390, 94,287,335,394, 98,296,368,427, 83,276,380,441)
( 66,294,352,431, 75,274,356,448,105,259,342,412,127,265,322,422, 96,
303,331,402,100,320,361,387, 86,284,383,393)( 67,278,348,447, 73,258,
358,416,111,267,338,420,128,297,323,406, 92,319,329,386,102,288,367,
395, 82,292,384,425)( 68,318,345,391, 78,282,359,400,106,291,344,428,
123,273,324,446, 89,263,334,410,103,272,362,419, 88,300,379,401)
( 69,310,349,439, 77,306,357,440,109,307,341,436,125,305,325,438, 93,
311,333,434,101,312,365,435, 85,308,381,433)( 70,286,351,399, 74,290,
360,432,107,275,340,444,121,257,326,414, 95,271,330,418,104,304,363,
403, 84,316,377,385)( 71,270,346,423, 80,298,355,408,108,315,337,388,
126,281,327,398, 90,295,336,426, 99,280,364,443, 81,260,382,409)
( 72,302,347,407, 76,314,353,392,110,283,343,396,122,289,328,430, 91,
279,332,442, 97,264,366,411, 87,268,378,417)(113,261,374,413,119,269,
370,421,120,301,371,405,116,317,369,389,118,285,375,397,114,293,376,
429,115,277,372,445)(117,309,373,437),
( 1,304,219,180,386,111,477,374)( 2,112,221,372,385,303,475,182)
( 3,176,218,116,389,367,473,310)( 4,432,223,500,390, 47,480,246)
( 5,368,217,308,387,175,474,118)( 6, 48,224,244,388,431,479,502)
( 7,496,222, 52,392,239,476,438)( 8,240,220,436,391,495,478, 54)
( 9,296,211,188,394,103,469,382)( 10,104,213,380,393,295,467,190)
( 11,168,210,124,397,359,465,318)( 12,424,215,508,398, 39,472,254)
( 13,360,209,316,395,167,466,126)( 14, 40,216,252,396,423,471,510)
( 15,488,214, 60,400,231,468,446)( 16,232,212,444,399,487,470, 62)
( 17,320,203,164,402,127,461,358)( 18,128,205,356,401,319,459,166)
( 19,192,202,100,405,383,457,294)( 20,448,207,484,406, 63,464,230)
( 21,384,201,292,403,191,458,102)( 22, 64,208,228,404,447,463,486)
( 23,512,206, 36,408,255,460,422)( 24,256,204,420,407,511,462, 38)
( 25,312,195,172,410,119,453,366)( 26,120,197,364,409,311,451,174)
( 27,184,194,108,413,375,449,302)( 28,440,199,492,414, 55,456,238)
( 29,376,193,300,411,183,450,110)( 30, 56,200,236,412,439,455,494)
( 31,504,198, 44,416,247,452,430)( 32,248,196,428,415,503,454, 46)
( 33,280,251,140,418, 87,509,334)( 34, 88,253,332,417,279,507,142)
( 35,152,250, 76,421,343,505,270)( 37,344,249,268,419,151,506, 78)
( 41,288,243,132,426, 95,501,326)( 42, 96,245,324,425,287,499,134)
( 43,160,242, 68,429,351,497,262)( 45,352,241,260,427,159,498, 70)
( 49,264,235,156,434, 71,493,350)( 50, 72,237,348,433,263,491,158)
( 51,136,234, 92,437,327,489,286)( 53,328,233,284,435,135,490, 94)
( 57,272,227,148,442, 79,485,342)( 58, 80,229,340,441,271,483,150)
( 59,144,226, 84,445,335,481,278)( 61,336,225,276,443,143,482, 86)
( 65,301,347,177,258,107,157,370)( 66,109,349,369,257,299,155,178)
( 67,173,346,113,261,363,153,306)( 69,365,345,305,259,171,154,114)
( 73,293,339,185,266, 99,149,378)( 74,101,341,377,265,291,147,186)
( 75,165,338,121,269,355,145,314)( 77,357,337,313,267,163,146,122)
( 81,317,331,161,274,123,141,354)( 82,125,333,353,273,315,139,162)
( 83,189,330, 97,277,379,137,290)( 85,381,329,289,275,187,138, 98)
( 89,309,323,169,282,115,133,362)( 90,117,325,361,281,307,131,170)
( 91,181,322,105,285,371,129,298)( 93,373,321,297,283,179,130,106) ]
],
[ 14, 28449792, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"PSL(2, 7)^3.Sym(3)", [ "L", [ 2, 7 ], 3 ],
[ ( 1,240, 10,492,146,449,216, 9,236,138,452,152)( 2,496, 18,489,210,457,
212,137,196,144, 4,176)( 3,368, 58,494,402,473,213, 73,228,143,260,
184)( 5,112, 34,495,274,497,211,329,252,142,388,160)
( 6,432, 26,493, 82,481,215,265,244,139,324,192)( 7,304, 50,491,338,
505,214,393,220,141, 68,168)( 8, 48, 42,490,466,465,209,201,204,140,
132,136)( 11,364,186,454,408, 25,237, 74,484,151,257,248)
( 12,172,130,456, 24, 41,234,458,468,145,193,208)( 13,108,162,455,280,
49,235,330,508,150,385,224)( 14,428,154,453, 88, 33,239,266,500,147,
321,256)( 15,300,178,451,344, 57,238,394,476,149, 65,232)
( 16, 44,170,450,472, 17,233,202,460,148,129,200)( 19,361,250,462,404,
153,197, 80, 36,175,258,504)( 20,169,194,464)( 21,105,226,463,276,
177,195,336, 60,174,386,480)( 22,425,218,461, 84,161,199,272, 52,171,
322,512)( 23,297,242,459,340,185,198,400, 28,173, 66,488)
( 27,365,122,486,407,281,245, 75,356,191,262,440)( 29,109, 98,487,279,
305,243,331,380,190,390,416)( 30,429, 90,485, 87,289,247,267,372,187,
326,448)( 31,301,114,483,343,313,246,395,348,189, 70,424)
( 32, 45,106,482,471,273,241,203,332,188,134,392)( 35,367,314,502,403,
345,253, 78,420,159,261,120)( 37,111,290,503,275,369,251,334,444,158,
389, 96)( 38,431,282,501, 83,353,255,270,436,155,325,128)
( 39,303,306,499,339,377,254,398,412,157, 69,104)( 40, 47,298,498,467,
337,249,206,396,156,133, 72)( 43,362,506,470,401,217,205, 76,164,135,
264, 56)( 46,426,474,469, 81,225,207,268,180,131,328, 64)
( 51,363,378,510,406,409,221, 77,100,167,263,312)( 53,107,354,511,278,
433,219,333,124,166,391,288)( 54,427,346,509, 86,417,223,269,116,163,
327,320)( 55,299,370,507,342,441,222,397, 92,165, 71,296)
( 59,366,442,478,405, 89,229, 79,292,183,259,376)( 61,110,418,479,277,
113,227,335,316,182,387,352)( 62,430,410,477, 85, 97,231,271,308,179,
323,384)( 63,302,434,475,341,121,230,399,284,181, 67,360)
( 91,357,127,294,439,283,373,123,358,447,286,437)( 93,101,103,295,311,
307,371,379,382,446,414,413)( 94,421, 95,293,119,291,375,315,374,443,
350,445)( 99,359,319,310,435,347,381,126,422,415,285,117)
(102,423,287,309,115,355,383,318,438,411,349,125)(118,419,351,317),
( 1,418,196,487,259,166, 72, 33,386,228,455,291,134,104)
( 2,226,199,295,262,102, 65,417,388,484,451,163,136, 40)
( 3,162,200, 39,258,230, 71,289,390,100,449,419,132,488)
( 4,482,195,167,264, 38, 66,225,391,292,454, 99,129,424)
( 5,354,197,359,261,358, 69,353,389,356,453,355,133,360)
( 6, 98,193,423,260,486, 67,161,392, 36,450,227,135,296)
( 7,290,198,103,257,422, 68,481,387,164,456, 35,130,232)
( 8, 34,194,231,263,294, 70, 97,385,420,452,483,131,168)
( 9,410,204,479,267,158, 80, 25,394,220,463,283,142, 96)
( 10,218,207,287,270, 94, 73,409,396,476,459,155,144, 32)
( 11,154,208, 31,266,222, 79,281,398, 92,457,411,140,480)
( 12,474,203,159,272, 30, 74,217,399,284,462, 91,137,416)
( 13,346,205,351,269,350, 77,345,397,348,461,347,141,352)
( 14, 90,201,415,268,478, 75,153,400, 28,458,219,143,288)
( 15,282,206, 95,265,414, 76,473,395,156,464, 27,138,224)
( 16, 26,202,223,271,286, 78, 89,393,412,460,475,139,160)
( 17,402,212,471,275,150, 88)( 18,210,215,279,278, 86, 81,401,404,468,
467,147,152, 24)( 19,146,216, 23,274,214, 87,273,406, 84,465,403,148,
472)( 20,466,211,151,280, 22, 82,209,407,276,470, 83,145,408)
( 21,338,213,343,277,342, 85,337,405,340,469,339,149,344)
( 29,330,221,335,285,334, 93,329,413,332,477,331,157,336)
( 37,322,229,327,293,326,101,321,421,324,485,323,165,328)
( 41,442,236,511,299,190,112, 57,426,252,495,315,174,128)
( 42,250,239,319,302,126,105,441,428,508,491,187,176, 64)
( 43,186,240, 63,298,254,111,313,430,124,489,443,172,512)
( 44,506,235,191,304, 62,106,249,431,316,494,123,169,448)
( 45,378,237,383,301,382,109,377,429,380,493,379,173,384)
( 46,122,233,447,300,510,107,185,432, 60,490,251,175,320)
( 47,314,238,127,297,446,108,505,427,188,496, 59,170,256)
( 48, 58,234,255,303,318,110,121,425,444,492,507,171,192)
( 49,434,244,503,307,182,120)( 50,242,247,311,310,118,113,433,436,500,
499,179,184, 56)( 51,178,248, 55,306,246,119,305,438,116,497,435,180,
504)( 52,498,243,183,312, 54,114,241,439,308,502,115,177,440)
( 53,370,245,375,309,374,117,369,437,372,501,371,181,376)
( 61,362,253,367,317,366,125,361,445,364,509,363,189,368)(325,357)
(333,349)(365,381) ] ],
[ 15, 56899584, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"PSL(2, 7)^3.Alt(4)", [ "L", [ 2, 7 ], 3 ],
[ ( 1,263,375,366,427,219,228,165, 61)( 2, 71,343,362,107,211,226,101, 21)
( 3,199,359,365, 43,195,231,357, 45)( 4,135,383,361,299,243,230,421,
29)( 5, 7,327,367,363,235,227,229, 37)( 6,391,351,364,171,251,225,
293, 53)( 8,455,335,368,491,203,232,485, 13)( 9,264,503,334,432,
475,204,168,509)( 10, 72,471,330,112,467,202,104,469)
( 11,200,487,333, 48,451,207,360,493)( 12,136,511,329,304,499,206,424,
477)( 14,392,479,332,176,507,201,296,501)( 15,328,495,331,240,483,
205, 40,453)( 16,456,463,336,496,459,208,488,461)( 17,258,119,342,
426, 91,212,162,125)( 18, 66, 87,338,106, 83,210, 98, 85)
( 19,194,103,341, 42, 67,215,354,109)( 20,130,127,337,298,115,214,418,
93)( 22,386, 95,340,170,123,209,290,117)( 23,322,111,339,234, 99,213,
34, 69)( 24,450, 79,344,490, 75,216,482, 77)( 25,260,183,382,425,283,
244,166,445)( 26, 68,151,378,105,275,242,102,405)( 27,196,167,381,
41,259,247,358,429)( 28,132,191,377,297,307,246,422,413)
( 30,388,159,380,169,315,241,294,437)( 31,324,175,379,233,291,245, 38,
389)( 32,452,143,384,489,267,248,486,397)( 33,261, 55,326,431,347,
236,163,253)( 35,197, 39,325, 47,323,239,355,237)( 36,133, 63,321,
303,371,238,419,221)( 44,131,255,353,301, 51,198,423,349)
( 46,387,223,356,173, 59,193,295,373)( 49,262,439,350,428,155,252,161,
317)( 50, 70,407,346,108,147,250, 97,277)( 52,134,447,345,300,179,
254,417,285)( 54,390,415,348,172,187,249,289,309)( 56,454,399,352,
492,139,256,481,269)( 57,257,311,374,430,411,220,164,189)
( 58, 65,279,370,110,403,218,100,149)( 60,129,319,369,302,435,222,420,
157)( 62,385,287,372,174,443,217,292,181)( 64,449,271,376,494,395,
224,484,141)( 73,280,498, 78,408,474, 76,152,506)( 74, 88,466)
( 80,472,458)( 81,274,114, 86,402, 90, 84,146,122)( 89,276,178,126,
401,282,116,150,442)( 92,148,186,121,273,306,118,406,410)
( 94,404,154,124,145,314,113,278,434)( 96,468,138,128,465,266,120,470,
394)(137,320,497,270,440,478,396,160,508)(140,192,505,265,312,502,
398,416,476)(142,448,473,268,184,510,393,288,500)(144,512,457,272,
504,462,400,480,460)(153,316,177,318,433,286,436,158,444)
(156,188,185,313,305,310,438,414,412)(180,190,441,281,308,182,446,409,
284), ( 1,259,347,366,431,487,469,216,184,140, 74, 58)
( 2, 3,323,363,367,495,471,472,152,144,138, 10)( 4, 67,379,361,303,
479,470,408,168,141,202, 50)( 5,195,371,364,111,511,465,280,160,142,
394, 34)( 6,387,355,365,239,503,468, 88,192,137,266, 26)
( 7,451,339,368,175,463,466, 24,136,139,330, 42)( 8,131,331,362, 47,
455,467,344,176,143,458, 18)( 9,258, 27,326,427,359,493,215,504,148,
80,186)( 11,322, 43,327,491,343,496,151,464,146, 16,130)
( 12, 66, 59,321,299,351,494,407,488,149,208,178)( 13,194, 51,324,107,
383,489,279,480,150,400,162)( 14,386, 35,325,235,375,492, 87,512,145,
272,154)( 15,450, 19,328,171,335,490, 23,456,147,336,170)
( 17,264,155,334,426, 39,453,211,376,172, 79,506)( 20, 72,187,329,298,
31,454,403,360,173,207,498)( 21,200,179,332,106, 63,449,275,352,174,
399,482)( 22,392,163,333,234, 55,452, 83,384,169,271,474)
( 25,262,411,358,429,231,501,212,120,188, 73,314)( 28, 70,443,353,301,
223,502,404,104,189,201,306)( 29,198,435,356,109,255,497,276, 96,190,
393,290)( 30,390,419,357,237,247,500, 84,128,185,265,282)
( 32,134,395,354, 45,199,499,340,112,191,457,274)( 33,261,219,374,428,
103,509,209,312,156, 78,442)( 36, 69,251,369,300, 95,510,401,296,157,
206,434)( 37,197,243,372,108,127,505,273,288,158,398,418)
( 38,389,227,373,236,119,508, 81,320,153,270,410)( 40,133,203,370, 44,
71,507,337,304,159,462,402)( 41,263,475,342,432,167,461,210, 56,132,
75,378)( 46,391,483,341,240,183,460, 82, 64,129,267,346)
( 48,135,459,338)( 49,260, 91,382,425,295,477,214,440,164, 77,250)
( 52, 68,123,377,297,287,478,406,424,165,205,242)( 53,196,115,380,105,
319,473,278,416,166,397,226)( 54,388, 99,381,233,311,476, 86,448,161,
269,218)( 57,257,283,350,430,423,485,213,248,180, 76,122)
( 60, 65,315,345,302,415,486,405,232,181,204,114)( 61,193,307,348,110,
447,481,277,224,182,396, 98)( 62,385,291,349,238,439,484, 85,256,177,
268, 90)( 89,318,409,294,413,230,437,228,117,252,113,316)
( 92,126,441,289,285,222,438,420,101,253,241,308)( 93,254,433,292)
( 94,446,417,293,221,246,436,100,125,249,305,284)( 97,317,217,310,412,
102,445,225,309,220,118,444)(116,124,121,313,281,286,414,422,421,229,
245,244) ] ],
[ 16, 56899584, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"PSL(2, 7)^3.D_12", [ "L", [ 2, 7 ], 3 ],
[ ( 1,277,139,105,258,461,177,300,330,505,312,204,353,319, 16,209,291, 79)
( 2,469,179,108,322,509,184,236,354,511, 56,212,355,127, 8,213,163,
111)( 3, 85,131,109,130,493,178,492,370,508,376,252,360,255, 40,215,
35, 87)( 4,341,187,112,194,485,183, 44,338,507,120,196,357,191, 48,
210,483,119)( 5,149,171,106,450,501,180,364,378,512,248,228,359, 63,
24,211, 99, 71)( 6,405,155,110,386,477,182,428,346,510,440,220,358,
447, 32,214,419, 95)( 7, 21,147,107, 66,453,181,172,362,506,504,244,
356,383, 64,216,227,103)( 9,273,267, 73,257,269,137,297,266,457,305,
268,329,313,272,201,289,271)( 10,465,307, 76,321,317,144,233,290,463,
49,276,331,121,264,205,161,303)( 11, 81,259, 77,129,301,138,489,306,
460,369,316,336,249,296,207, 33,279)( 12,337,315, 80,193,293,143, 41,
274,459,113,260,333,185,304,202,481,311)( 13,145,299, 74,449,309,140,
361,314,464,241,292,335, 57,280,203, 97,263)( 14,401,283, 78,385,285,
142,425,282,462,433,284,334,441,288,206,417,287)( 15, 17,275, 75, 65,
261,141,169,298,458,497,308,332,377,320,208,225,295)( 18,467,115, 68,
325,189,176,234,482,503, 52,340,379,128,200,229,167, 47)
( 19, 83, 67, 69,133,173,170,490,498,500,372,380,384,256,232,231, 39,
23)( 20,339,123, 72,197,165,175, 42,466,499,116,324,381,192,240,226,
487, 55)( 22,403, 91, 70,389,157,174,426,474,502,436,348,382,448,224,
230,423, 31)( 25,278,395, 89,262,397,153,302,394,473,310,396,345,318,
400,217,294,399)( 26,470,435, 92,326,445,160,238,418,479, 54,404,347,
126,392,221,166,431)( 27, 86,387, 93,134,429,154,494,434,476,374,444,
352,254,424,223, 38,407)( 28,342,443, 96,198,421,159, 46,402,475,118,
388,349,190,432,218,486,439)( 29,150,427, 90,454,437,156,366,442,480,
246,420,351, 62,408,219,102,391)( 30,406,411, 94,390,413,158,430,410,
478,438,412,350,446,416,222,422,415)( 34,471, 51, 84,323,125,136,237,
162,495, 50,468,371,124,328,253,168,239)( 36,343, 59, 88,195,101,135,
45,146,491,114,452,373,188,368,250,488,247)( 37,151, 43, 82,451,117,
132,365,186,496,242,484,375, 60,344,251,104,199)( 53,148,363,122,456,
245,164,367, 58,472,243,100,327, 61,152,235, 98,455)(270,393,281)
(286,398,409), ( 1, 49, 25, 57, 33, 17, 9)( 2,177, 30,249, 37, 81,
10,129, 54,217, 61, 97, 18,137, 6,241, 29,121, 34,145, 14,193, 53,
89, 58,161, 22,201, 5,113, 26,185, 38,209, 13, 65, 50,153, 62,225,
21, 73)( 3,369, 31,505, 36,401, 11,321, 55,473, 60,417, 19,329, 7,
497, 28,441, 35,337, 15,449, 52,409, 59,353, 23,457, 4,433, 27,377,
39,465, 12,385, 51,345, 63,481, 20,393)( 8,305, 32,313, 40,273, 16,
257, 56,281, 64,289, 24,265)( 42,169, 46,233, 45,105)
( 43,361, 47,489, 44,425)( 48,297)( 66,178,158,254,229, 85, 74,130,
182,222,253,101, 82,138,134,246,221,125, 98,146,142,198,245, 93,122,
162,150,206,197,117, 90,186,166,214,205, 69,114,154,190,230,213, 77)
( 67,370,159,510,228,405, 75,322,183,478,252,421, 83,330,135,502,220,
445, 99,338,143,454,244,413,123,354,151,462,196,437, 91,378,167,470,
204,389,115,346,191,486,212,397)( 68,434,155,382,231,469, 76,386,179,
350,255,485, 84,394,131,374,223,509,100,402,139,326,247,477,124,418,
147,334,199,501, 92,442,163,342,207,453,116,410,187,358,215,461)
( 70,242,157,126,226,149, 78,194,181, 94,250,165, 86,202,133,118,218,
189,102,210,141)( 71,498,156,446,227,341, 79,450,180,414,251,357, 87,
458,132,438,219,381,103,466,140,390,243,349,127,482,148,398,195,373,
95,506,164,406,203,325,119,474,188,422,211,333)( 72,306,160,318,232,
277, 80,258,184,286,256,293, 88,266,136,310,224,317,104,274,144,262,
248,285,128,290,152,270,200,309, 96,314,168,278,208,261,120,282,192,
294,216,269)(106,170,174,238,237,109)(107,362,175,494,236,429)
(108,426,171,366,239,493)(110,234,173)(111,490,172,430,235,365)
(112,298,176,302,240,301)(259,376,287,512,292,408,267,328,311,480,316,
424,275,336,263,504,284,448,291,344,271,456,308,416,315,360,279,464,
260,440,283,384,295,472,268,392,307,352,319,488,276,400)
(264,312,288,320,296,280,272)(299,368,303,496,300,432)
(323,375,479,508,420,403,331,327,503,476,444,419,339,335,455,500,412,
443,355,343,463,452,436,411,379,359,471,460,388,435,347,383,487,468,
396,387,371,351,511,484,404,395)(324,439,475,380,423,467,332,391,499,
348,447,483,340,399,451,372,415,507,356,407,459)(363,367,495,492,428,
427)(364,431,491) ] ],
[ 17, 113799168, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"PGL(2, 7) wreath Alt(3)", [ "L", [ 2, 7 ], 3 ],
[ ( 1,464,225, 11,224,163, 28,184,292, 53,280,421, 23,432,359, 42,384, 98,
62, 72,486)( 2,512, 97, 14,200,483, 25,144,228, 51,288,165, 20,440,
295, 45,344,418, 63,112,358)( 3,480,161, 12,248,291, 29,152,420, 55,
304,357, 18,448,103, 46,328,482, 57, 80,230)( 4,504,289, 13,216,419,
31,176,356, 50,320,101, 22,392,487, 41,336,226, 59, 96,166)
( 5,472,417, 15,240,355, 26,192,100, 54,264,485, 17,400,231, 43,352,
162, 60,120,294)( 6,456,481, 9,208,227, 27,160,164, 52,312,293, 21,
408,423, 47,368,354, 58,128,102)( 7,496,353, 10,256, 99, 30,136,484,
49,272,229, 19,416,167, 44,376,290, 61, 88,422)( 8,488, 33, 16,232,
35, 32,168, 36, 56,296, 37, 24,424, 39, 48,360, 34, 64,104, 38)
( 65,462,193,459,217,139,220,179,284,181,276,437,279,429,343,426,383,
106,382, 66,510)( 67,478,129,460,241,267,221,147,412,183,300,373,274,
445, 87,430,327,490,377, 74,254)( 68,502,257,461,209,395,223,171,348,
178,316,117,278,389,471,425,335,234,379, 90,190)( 69,470,385,463,233,
331,218,187, 92,182,260,501,273,397,215,427,351,170,380,114,318)
( 70,454,449,457,201,203,219,155,156,180,308,309,277,405,407,431,367,
362,378,122,126)( 71,494,321,458,249, 75,222,131,476,177,268,245,275,
413,151,428,375,298,381, 82,446)( 73,206,195,475,153,140,244,307,285,
149,404,439,303,365,338,442,127,110,326,450,505)( 76,246,259,477,145,
396,247,299,349,146,444,119,302,325,466,441, 79,238,323,474,185)
( 77,214,387,479,169,332,242,315, 93,150,388,503,297,333,210,443, 95,
174,324,498,313)( 78,198,451,473,137,204,243,283,157,148,436,311,301,
341,402,447,111,366,322,506,121)( 81,398,199,491,345,138,252,115,286,
133,468,433,271,237,339,410,191,108,374,258,509)( 83,414,135,492,369,
266,253)( 84,438,263,493,337,394,255,107,350,130,508,113,270,197,467,
409,143,236,371,282,189)( 85,406,391,495,361,330,250,123, 94,134,452,
497,265,205,211,411,159,172,372,306,317)( 86,390,455,489,329,202,251,
91,158,132,500,305,269,213,403,415,175,364,370,314,125)
( 89,142,196,499,281,141,212,435,287,173,340,434,319,109,342,386,511,
105,334,194,507)(116,310,261,469,401,399,239,363,346,186,124,118,262,
453,465,393,207,235,347,154,188),
( 1,338,422,129, 82,294,193,466, 38,321,402,166, 65,274,230,449, 18,
358,385,146,102,257,210,486)( 2,342,417,130, 86,289,194,470, 33,322,
406,161, 66,278,225,450, 22,353,386,150, 97,258,214,481)
( 3,343,424,131, 87,296,195,471, 40,323,407,168, 67,279,232,451, 23,
360,387,151,104,259,215,488)( 4,340,420,132, 84,292,196,468, 36,324,
404,164, 68,276,228,452, 20,356,388,148,100,260,212,484)
( 5,341,421,133, 85,293,197,469, 37,325,405,165, 69,277,229,453, 21,
357,389,149,101,261,213,485)( 6,337,418,134, 81,290,198,465, 34,326,
401,162, 70,273,226,454, 17,354,390,145, 98,262,209,482)
( 7,344,419,135, 88,291,199,472, 35,327,408,163, 71,280,227,455, 24,
355,391,152, 99,263,216,483)( 8,339,423,136, 83,295,200,467, 39,328,
403,167, 72,275,231,456, 19,359,392,147,103,264,211,487)
( 9,370,414,137,114,286,201,498, 30,329,434,158, 73,306,222,457, 50,
350,393,178, 94,265,242,478)( 10,374,409,138,118,281,202,502, 25,330,
438,153, 74,310,217,458, 54,345,394,182, 89,266,246,473)
( 11,375,416,139,119,288,203,503, 32,331,439,160, 75,311,224,459, 55,
352,395,183, 96,267,247,480)( 12,372,412,140,116,284,204,500, 28,332,
436,156, 76,308,220,460, 52,348,396,180, 92,268,244,476)
( 13,373,413,141,117,285,205,501, 29,333,437,157, 77,309,221,461, 53,
349,397,181, 93,269,245,477)( 14,369,410,142,113,282,206,497, 26,334,
433,154, 78,305,218,462, 49,346,398,177, 90,270,241,474)
( 15,376,411,143,120,283,207,504, 27,335,440,155, 79,312,219,463, 56,
347,399,184, 91,271,248,475)( 16,371,415,144,115,287,208,499, 31,336,
435,159, 80,307,223,464, 51,351,400,179, 95,272,243,479)
( 41,362,430,169,106,302,233,490, 46,361,426,174,105,298,238,489, 42,
366,425,170,110,297,234,494)( 43,367,432,171,111,304,235,495, 48,363,
431,176,107,303,240,491, 47,368,427,175,112,299,239,496)
( 44,364,428,172,108,300,236,492)( 45,365,429,173,109,301,237,493)
( 57,378,446,185,122,318,249,506, 62,377,442,190,121,314,254,505, 58,
382,441,186,126,313,250,510)( 59,383,448,187,127,320,251,511, 64,379,
447,192,123,319,256,507, 63,384,443,191,128,315,255,512)
( 60,380,444,188,124,316,252,508)( 61,381,445,189,125,317,253,509) ]
],
[ 18, 113799168, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1,
"PSL(2, 7)^3.Sym(4)", [ "L", [ 2, 7 ], 3 ],
[ ( 1,124, 14,506, 7,123, 13,512)( 2,127, 11,509, 8,121, 12,510)
( 3,125, 16,505, 4,126, 10,511)( 5,128, 9,508, 6,122, 15,507)
( 17,188, 54,442, 23,187, 53,448)( 18,191, 51,445, 24,185, 52,446)
( 19,189, 56,441, 20,190, 50,447)( 21,192, 49,444, 22,186, 55,443)
( 25,380, 38,250, 31,379, 37,256)( 26,383, 35,253, 32,377, 36,254)
( 27,381, 40,249, 28,382, 34,255)( 29,384, 33,252, 30,378, 39,251)
( 41,316, 46,314, 47,315, 45,320)( 42,319, 43,317, 48,313, 44,318)
( 57, 60, 62, 58, 63, 59, 61, 64)( 65, 76,462,450, 71, 75,461,456)
( 66, 79,459,453, 72, 73,460,454)( 67, 77,464,449, 68, 78,458,455)
( 69, 80,457,452, 70, 74,463,451)( 81,140,502,386, 87,139,501,392)
( 82,143,499,389, 88,137,500,390)( 83,141,504,385, 84,142,498,391)
( 85,144,497,388, 86,138,503,387)( 89,332,486,194, 95,331,485,200)
( 90,335,483,197, 96,329,484,198)( 91,333,488,193, 92,334,482,199)
( 93,336,481,196, 94,330,487,195)( 97,204,478,322,103,203,477,328)
( 98,207,475,325,104,201,476,326)( 99,205,480,321,100,206,474,327)
(101,208,473,324,102,202,479,323)(105,268,494,258,111,267,493,264)
(106,271,491,261,112,265,492,262)(107,269,496,257,108,270,490,263)
(109,272,489,260,110,266,495,259)(113,396,470,130,119,395,469,136)
(114,399,467,133,120,393,468,134)(115,397,472,129,116,398,466,135)
(117,400,465,132,118,394,471,131)(145,180,438,402,151,179,437,408)
(146,183,435,405,152,177,436,406)(147,181,440,401,148,182,434,407)
(149,184,433,404,150,178,439,403)(153,372,422,210,159,371,421,216)
(154,375,419,213,160,369,420,214)(155,373,424,209,156,374,418,215)
(157,376,417,212,158,370,423,211)(161,244,414,338,167,243,413,344)
(162,247,411,341,168,241,412,342)(163,245,416,337,164,246,410,343)
(165,248,409,340,166,242,415,339)(169,308,430,274,175,307,429,280)
(170,311,427,277,176,305,428,278)(171,309,432,273,172,310,426,279)
(173,312,425,276,174,306,431,275)(217,348,358,226,223,347,357,232)
(218,351,355,229,224,345,356,230)(219,349,360,225,220,350,354,231)
(221,352,353,228,222,346,359,227)(233,284,366,290,239,283,365,296)
(234,287,363,293,240,281,364,294)(235,285,368,289,236,286,362,295)
(237,288,361,292,238,282,367,291)(297,300,302,298,303,299,301,304),
( 1,165,255,425,156,503,403,268,456,355,318,112,346, 54, 85,202)
( 2, 37,253,233,153,183,407,396,452,483,315,304,352,374, 86, 74)
( 3,293,256,361,158,119,402, 12,453,227,313,176,351,438, 84,458)
( 4,485,251,297,160,375,406, 76,450, 35,317,240,345,182, 87,394)
( 5,229,249,169,159,439,404,460,451,291,320,368,350,118, 82, 10)
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( 20, 48,479,109,133,125,415,159,432,255,299,300, 39,328,491,122,475,
297, 69)( 21, 56, 57, 24,460, 88, 82,350, 77,428,444,180,114,483,476,
301,406, 80,198)( 25,468,461,226, 92,303,199,357,474,497,481,182,465,
272,341,148,152,197,390)( 29,175, 34,436,117,507,443,316,404,143, 98,
63,238,281,372,233,493,242, 96)( 31,132,509, 79,155,485,505,188,118,
282,208,498,250,369,459, 32,160,154,305)( 36,228,484,494,418,312,290,
510, 91,471,495,437,206,253,356, 61,338,212,473)( 38,504,337,421,124,
401, 76,213,380, 78,273,169,204,492,347,164,375,458,266)
( 41,427,440,417,139,201,220,308,216,156,183,452, 89,112,329,382,419,
72,480)( 43,215,127,246, 93,167,317, 51,313,490,144,446,477,225,431,
195, 64,103,340)( 55,251,165,402,108,469,130,260,361,176,138, 86,136,
333,245,218, 81,412,433)( 68,157,237,398,170,386,463,187,513,134, 84,
374,327,107,145,105,403,174,166)( 70,291,324, 83,304,264,307,325,179,
508,106,503,378,489,472,243,445,102,306)( 73,240,288,470,110,448,287,
410,353,502,322,397,335,276,186,315,271,408,261) ] ],
[ 2, 11031552, 0, "2", [ [ 512, 1 ] ], 2, "PSU(3, 2^3).2",
[ "2A", [ 2, 8 ], 1 ],
[ ( 1,477,107,473,139,319)( 2,495,370,457,154, 6)( 3,417, 97,363,362,419
)( 4,425,128,432,469,328)( 5,170, 99,491,175, 35)( 7, 72, 66,100,
64,440)( 8,390, 95)( 9, 76,124,409,311, 87)( 10,303,115, 26,321,
322)( 11,348,352,350,404, 58)( 12,223,149,261,287, 73)
( 13,182,189,229,215,313)( 14,472, 56,320,280,108)( 15,157,231,314,
111,379)( 16,475,308,271, 77,275)( 17,327,147,235, 44,113)
( 18,211,333,244,426,307)( 19,364,129, 24, 28,396)( 20, 57,306,499,
246, 49)( 21,484,302,304,155,265)( 22,340,490,233,361, 43)
( 23,164,290,309,137,101)( 25, 55,336,393,200,227)( 27,316, 92,168,
208,174)( 29,324,470,109,453,421)( 30,464,161,358,444,422)
( 31,351,278,510,125,173)( 32,456,106,344,288,103)( 33, 51,338,449,
384,248)( 34,207,492,214,201,133)( 36,240,219,420,156,496)
( 37,399,220,218,195,366)( 38,498,119,176,511,458)( 39,357,374,230,
270,153)( 40,283,293,443,185,502)( 41,224,148,289,318,297)
( 42,274,501,245,446,403)( 45,435,383,462,468,488)( 46,112,152,349,
378, 62)( 47,117,253,342,317,367)( 48,203,408,345,183,486)
( 50,381,298,402,373,140)( 52,371,341, 88,166,252)( 53,343,249, 94,
131,292)( 54,243,123,102, 96,503)( 59,380,494, 86,277,493)
( 60,411,143,394,118,286)( 61, 70,385,354,424,339)( 63,134,451,389,
368,226)( 65,294,497,388,369,257)( 67,264,487,169,438,387)
( 68,266,347)( 69,126,500,400,377,455)( 71,482,505,416,196,471)
( 74,353,441,281,180, 91)( 75,331,375,312,269,481)( 78,433, 80, 89,
423,360)( 79,461,210,130,171,228)( 81,247,299,202,359,295)
( 82,405,225,334,365,267)( 83,273,272,179,259,181)( 84,459,291,209,
276,391)( 85,191,429,150,401,105)( 90,296,127,414,222,382)
( 93,326,122,513,263,372)( 98,467,509,186,329,397)(104,284,142,483,
448,190)(110,452,508,184,415,310)(114,386,285,234,479,325)
(116,450,512)(120,418,504,480,398,315)(121,206,151,236,337,268)
(132,136,262,489,138,439)(135,445,410,260,407,144)(141,167,454,239,
301,412)(145,242,197,355,434,437)(146,506,474,376,330,213)
(158,232,300,406,395,323)(159,241,335,332,478,258)(160,460,436,442,
198,205)(162,447,279,217,188,172)(163,254,428,413,204,178)
(165,212,507,465,194,430)(177,256,356,463,476,237)(187,305,255,485,
392,346)(192,193,250,251,216,431)(199,466,282,238,221,427),
( 1,416,194,231,232,253,272,397,440,182,446,379,296,466)
( 2, 5,201,478,373,235,164,184,157,116,113,142, 84,435)
( 3,375,415, 4,330,475,225,380,207,285,230,189,347,443)
( 6,208,306,155,172,411,261,262,324,114,424, 69,267,394)
( 7,178,412,328,204, 62,311,241,129,154, 50,290,294,389)
( 8,414, 57,289, 28,304,140, 93, 68,391,323,472, 49, 99)
( 9,202, 98,233,321, 65,358,111,229, 51, 59, 23,245,333)
( 10, 73,295,388, 64, 11,221,195,363,251,481,364,365,430)
( 12,278, 88,237,282,418,406,177,163,219, 21,258, 94,370)
( 13,458,176,218,122,429,452,121,211, 95,419, 14,359,395)
( 15,315,461,342,297,327, 52,158,139,349,280,482,444, 35)
( 16,469,460,213,119,190,254,503,309, 89,346,196,247,260)
( 17,434,192,264,377, 40,398,345,197,128,271,485,144,504)
( 18,205,198,101,263,279,179,335,383,497,348,156,117,246)
( 19,381,351,337, 39,112,274,326,404,422,498,338, 44, 79)
( 20,152, 38,313,292,186, 90,366,322,507,270,332,470,118)
( 22,106,150,312,236,448,502, 55,134,354,513,302,248,252)
( 24, 48,405,131, 81,355,407, 85, 58,386, 47,104,396,408)
( 25, 30,449,447, 80,136, 67,266,339,283, 45,181,175,436)
( 26,108, 77,344,462,250,382,409,277, 54,212,329,491,135)
( 27,244,293,183,393,170,188,360,268,459,310,308,206, 92)
( 29,173,169, 76, 72,102,291,486,226,224,167, 66,305,445)
( 31,438,223,319,428,125,281,432,400,255,423,220, 32,494)
( 33,161,273,456,234, 43,467,401,427,508,476,193,123,390)
( 34,387,284,483,439, 86,115)( 36,453,107, 82,488,480,148,147,185,392,
174, 41,369,103)( 37,479,454,269,146,191,214,165, 87,512,441, 42,162,
78)( 46,109,352,368,500,484, 53,215,403,227,350,420,492,336)
( 56,334,110,421, 75,222,209,287,210,367,276,340,320,143)
( 60,487,496,240,149,151,451,450,307,130, 70,493,288,372)
( 61,425,145,489,124,159,402,256,300,105,132,374,495,242)
( 63,471,133, 97,317,265,505,426,331,171,166, 96,376,465)
( 71,325,239,343,100,468,303,127,126,490,499, 83,473,298)
( 74,187,314,356,413,417,316,501,318,228,431,203,286,249)
( 91,442,477,474,238,160,259,153,341,378,455,299,357,243)
(120,180,275,362,301,463,199,168,410,138,437,371,509,464)
(137,457,433,216,257,384,511,200,141,510,506,353,399,385) ] ],
[ 3, 16547328, 0, "2", [ [ 512, 1 ] ], 2, "PSU(3, 2^3).3",
[ "2A", [ 2, 8 ], 1 ],
[ ( 1,357, 48,227, 31,286,403,368,196,432,217,423, 10,318,435,137,364,494,
340)( 2,412,219, 39,123,385,247,100,232,392,101,111,398,374,499,120,
209,275,142)( 3,112,148,397,472,242,384,129,457, 32,153,431,377,124,
26, 65,408,343,338)( 4,220,492,230,134,505, 14,117,285, 74, 9,198,
83,502,304,375,396,442,351)( 5,152,182,504,411,180, 34,400,225,205,
402,436,121,466,162, 63, 47,229,258)( 6,138,372,177,445,474,200,114,
283, 15,430,416,127, 61,493,476, 24,222,513)( 7, 43,104,390,102,260,
425,345,122,449,250,389,478,284,407,191,235,485,154)( 8,462, 73,316,
70,509,324, 51,387,325,469,394,363,216,395, 78,322,166,132)
( 11,306,192, 45,105,365,409,239,265, 33,456,391,299, 80, 93, 22,379,
56,207)( 12, 90, 29,268,370, 37,486, 44,139,358, 69,252,327,381, 94,
46,420,278, 84)( 13,461,150,160, 50,277,471,193,331,115,164,280,410,
360,168,488,444,214,497)( 16,190,426,332,287,174,501,455, 92,108,289,
25,246,233,482,175, 52,429,428)( 17,314,481,342, 30, 91,169,273,328,
107,144,300,128,480,350,382,413,103,311)( 18,369,352,234,126,279,477,
448,443,291, 36,254,337,165,181,140,467,156,361)( 19, 89,433,145,208,
146,274,248,503, 85, 97,302,323,359,458,271,296,295,189)
( 20,475,421,362,199,155,253,197,157,463, 35,218,241,341, 49, 72,269,
315, 75)( 21,308,498, 98,344,336,453,437,251,495,460,213, 82,404,303,
57,354,422,167)( 23,356, 64,470,373,473,439,301,310,243,383,508,326,
27,262, 55,210,223,163)( 28,266, 40,440,312, 71,405,288,500,158,116,
282,496,221,464,367,130,355,335)( 38,143,110,131, 86,245, 67,267,159,
434,249,264, 59,333, 79,238,438,211,171)( 41,224,353,201, 87,393,371,
298,212,118,376,329,256,465,366,334,297,215,185)( 42, 88, 95, 99,490,
184,178,321,179,512,194,261,506,161,484,187, 54,206,244)
( 53, 81,346,226,240,378,231,170, 76,415,313,237,307,489,263, 58,427,
317,309)( 60, 66,507,195,417,388,151,406, 62,141,305,459,491,293,272,
292,133,468,401)( 68,446,419,511,510,255,257,259,451,320,270,135,281,
399,290,294,113,203,347)( 77,136,236,424,119,106,339,441,176,349,147,
276,186,454,386,330,450,228,319)( 96,479,172,183,149,380,109,487,188,
173,414,348,447,202,204,452,418,125,483),
( 1,497,178,310,428,125,177, 40, 47,210, 74,151)( 2,100, 91,282,474,
317,288, 66,255,411,285,432)( 3,180,478,321,382,388,145, 21, 26,430,
193,150)( 4,142, 44,296,402,143, 37,439,113,362,233,496)
( 5,424,144,298, 43,135,189, 70,112,207,489,335)( 6,197,414,230,121,
293,409, 22,284,508,138,221)( 7,367,169, 92,391, 83,266,356,510,292,
35,328)( 8,389,275,152,368,257,472,423,123,457, 76,392)
( 9,347,444,339,407, 52,429,503,377,324,355,258)( 10,364, 82,107,397,
18,470,248, 51,272, 58,466)( 11,268,433,359,463,477,227, 33, 17,101,
403, 59)( 12,222,200,418,504,149, 50, 77, 89,396,485,247)
( 13,251,218,464,390,349,234,415,192,264,160,124)( 14,161,431,239, 34,
122,297,146,494, 19,421,487)( 15,372, 55, 27,303, 90,330,475, 69,217,
357,450)( 16,358,214,513,194,304,495,481, 24,176,279, 99)
( 20,378,301,231,329,196,286, 39,209, 65,323,235)( 23,291,340,106,202,
166,483, 49,167,406, 67, 85)( 25, 88,278,476,501, 60,344,486,473,315,
148,371)( 28,322,174,156,219,314,380,224,252,467,479,244)
( 29,103, 64,365, 57,491, 48,164,336, 73, 71,276)( 30, 41,172,401,213,
256, 56,398,137,412,316,374)( 31, 98,294,318,353,351,405,400,453,187,
78, 45)( 32,170,512,155,343,502,128,110,236,369,119,460)
( 36,199,383,326,363,446,426,129,299,131,195, 54)( 38,509,237, 87,462,
416,455,361,158,190,253,141)( 42,305, 84,379,458,277,165,331,191,346,
81,114)( 46,168,265,184,242,228,115,130,220,435,267,186)
( 53,300,332, 62,408,127,229,480,507,493,505,427)( 61,422,404,337,373,
499,262,183,375,104,238,133)( 63,341,366,338,136,281,420,205,173,273,
274,159)( 68,449,204,345, 86,325,468,201,417,223,241,370)
( 72,225,394,289,139,181,280,216,327,419,249,117)( 75,387,287,295,163,
348,134,469,211,153,212,319)( 79,350,108,459,333,232,309,308,126,116,
506,399)( 80,147,488,179,381, 97,111,260,461,270,105,243)
( 93,206,290,302)( 94,442,162,261,354,498,395,250,320,198,171,311)
( 95,226,271,438,360,334,456,263,484,452,283,269)( 96,246,384,352,441,
454,215,436,118,425,471,254)(102,386,437,445,188,307,448,109,376,490,
440,203)(120,132,451,393,434,443,312,259,500,157,465,245)
(140,313,208,240,482,306,413,447,182,385,492,410)(154,185,511,342) ]
],
[ 4, 16547328, 0, "2", [ [ 512, 1 ] ], 2, "PSU(3, 2^3).3",
[ "2A", [ 2, 8 ], 1 ],
[ ( 1, 40,409,486, 15,370,456, 36,131,400,441,327,113, 9,233,187,268,195,
445, 53,413,407,241, 82, 22,318,411,356,287,211,412,331,266, 56,390,
3,173,345,359,324,119, 54, 7,510, 91,260,204,440,243,403,493,421,
32,457,107, 24, 12,393, 61,133,342, 99, 92)( 2,380,185,146, 39,357,
4,226,346,361,482,156,480,262, 79,437,270, 77, 14,471,256,143,128,
170,317,435,353,377,205,160, 80, 10,278, 72,155,439,469,475, 51,134,
264, 78,290,312,321,325, 35, 23,188,118,276,296,484,500,292,410, 74,
383,301,333, 81, 25,323)( 5,432,132,513,488,392, 63,338,474,203,117,
198,455,116,196,472,347,465,352,120,220,229, 6,158,273,272,319,168,
18, 73, 28,231,152,291,100,219,139,179, 97,126,302,386, 27,130,104,
98,362,207,202,183,311,330,415,161,443,494,206,414, 88,459,349,214,
101)( 8,320, 33,308,360,487,369,102,248,280,238,315,350,446,123,257,
293,358,429,454,212,344,149, 13,512, 69,363,467,124,283, 65,453, 59,
495,157,396,313,261,463,216,326,307,208,254,177, 71, 43,405,251,476,
237,428,343, 94,240, 64,178, 37,399,418,255,277, 42)( 11,235,142,267,
335,511,464,310,190,171,341,222,452, 84,166,448,110,382,112,314,109,
294,227,247,103, 29,295,244, 47,408, 31,217,164,433,460,430,364,258,
210,316,491, 75,141,389,191,444,186,478,129,473,420,505, 16,328,374,
245,404,289,340,365,483,252, 57)( 17,281,503,176,332,329,148, 58,306,
30,458,388,169,250,225,381,402,468,263,197,300,279,351,303,115,434,
461,159,144,423,271,153,506,449,384, 96,180,125,417,259, 20, 52,224,
397,284, 44,147,348,194,436, 85,368,425,394,172,424, 60,297,427,379,
48,376, 87)( 19,165,239,462,373, 62,401,501,230,145,192,138,265, 21,
127,151,336,223,288,299,492,378,140,234,137,201, 70,189,218,121, 86,
485, 45,367,426,122,136,398,221, 41,371,228,489,193,438, 93,431,242,
372,387, 49,181,498,470,111,199,466,184,213,502,477,154,215)
( 26,269,246, 67,451,167,150, 46, 90,391,508,282,108,275,416,450,182,
385,395, 55,236,447,406,354,162,337,305,504,496,106,507, 68,375,309,
479,322, 89,135,366,163,174,285, 50,334,490, 76,509,422,499,481,175,
114,304, 66,209,286,339,200,497, 38, 83,232,355)( 34,419, 95,274,105,
442,253), ( 1,499,210,255,231, 86,158,338, 8,470,289,229, 51,135,
365, 57,483,276,482,269,228,164,286,381,182, 89,367,364, 3,339,242,
239, 88,187, 55,180,464,201,117,113,178,134,400, 93,309,451,442,279,
95, 35, 43,204,169,282, 26,119,173)( 2,199,304,469, 6, 60, 21, 80,
230,335,393, 63,278,284,240, 97,509,146,399,153,474,114,495,322,406,
125,140,496, 22,343,501, 65,361,168,124,262,505,484,344,430,246, 79,
176,489, 90, 39,131,166,191,395,260,415, 29,377,453,437,436)
( 4,448,121, 66,385,424,421,244, 72,129, 9,142,418,407,258, 18,376,
53,198,103,502,177,431,225,416,219,280,264,445,256,151,192,320,218,
299,208,144, 7,466,266, 85,384, 56, 82, 70,368,373,185,303,456,150,
248,504,449,161,162, 81)( 5,170,211,188, 41,419,243,513,478,351,232,
508,363,296,291,195,302,196,411,371,147,100,394,238,141, 68,429, 16,
157,510,390,298,403, 49,465,463,111,294,331,417,148,288,181,132,190,
341,511,446,281,227,234,179, 36,126,379,220,405)( 10,247, 38,137,133,
396,235,106,313,172,109,324,498,479,412,357,325,408,447,494, 15, 76,
503,334,461,475,370, 84,160,102,194,372,214,301, 44,271,359, 87, 48,
254,253, 25,319,362,116,340,425,308,434,312,349,481,215,285,440,512,
61)( 11,358,156, 64, 33,432,375,462,265,167, 31,152,130,353,444,457,
378,292, 71,217,275,433,310,241,443,360, 40,497, 98,108,506,273,277,
251, 75,397,270,237,293,221,423,257,290,250,427,315, 27,318, 14,143,
122,295,163,321,487,159,352)( 12,112,223,184, 17, 19,414,382,413,477,
342,305,252,468,212, 94,485,287, 92,297,205,261,224, 78,327,222, 45,
216,306,326,155, 99,491,127,249, 46,383, 50, 77,492,472,213, 28,226,
346,200,123,426,476,105, 13,307,107,165, 47,267,174)( 20,450,459,486,
138,175,439, 23,350,197,356,500, 58, 32,354,337,336,347,355,467,420,
455,428,454,236,480,139,263,186,392,118,283,460,473,387,388,389,374,
245,145,203,435,507,101, 96, 83, 24,409,404, 37,311,317,233,202,493,
333, 91)( 30,490,369,128, 52, 73,189,149,345,274, 59,154,366,438,330,
386,328,272,329,120,314,136,207,171,402,259,323, 42,332,268,300,316,
441,398,104, 67,206,422, 34,348,471,380, 74,488,401,452,391,110,410,
183,115,209, 54, 69,458, 62,193) ] ],
[ 5, 16547328, 0, "2", [ [ 512, 1 ] ], 2, "PSU(3, 2^3).3",
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[ ( 1,191,253,280,437,470,395, 59,154,107,206,207,211,180,105,432,320, 43,
119)( 2, 66,121,104,304,228,174, 24,486,139, 7,487, 45,347, 60,185,
420,386,375)( 3,393, 93,281, 76,279,340,464,507, 68,352,170,282,494,
141,127,224,384,201)( 4, 33, 35,284,477,467, 61,403,332,407,328,482,
153,275,353,462,431,308,410)( 5,168,155, 30,231,245,311,491,427,177,
498,276,283,455,250,314,450,166,301)( 6,176, 18,118,248,366,512,181,
296,424,101,102,425,503, 12,204,509,238,247)( 8,187,321, 89,100,269,
365,502,342,241,388,318, 46,291,396,341,348,246, 11)( 9,357, 96, 62,
337, 10,199, 36,178,327,142,428,405,197,489,312,399,125,378)
( 13,338,416, 55,415,158,223,112,391,193,412,451,351,232,317,504,359,
325,165)( 14,103,303,446,252,505, 79,499,298,419,195,445,414, 17, 39,
385,456, 42,264)( 15, 23,151,436,379,299,209,208, 97,418,409,133,380,
162, 98,249,214,163,449)( 16,272,287,435,278,274,251, 64,313,377, 54,
200, 44,434,273,135,190,453,122)( 19,374,237, 88,259,184,300,152,490,
305,478, 77,123,306, 92,124,137,310,258)( 20,413,234,373,345,226,227,
128,439,221,390,218,270,466, 63,160,213,404,459)( 21,441,444,179, 70,
260,350,387, 52,115,110,400,188,244,463,324,421,501,173)
( 22,129,471,440,316,323,344,196,268,492,293, 69,497,476,242,326,448,
364,262)( 25, 84,285,126, 48,263,426,265,145,513, 99,423,240,496, 83,
398,161,132,216)( 26,394, 87,381, 65,194,389, 91, 95, 53, 80, 28,116,
169,475,222,220,360, 34)( 27,361,147,202,511, 29,392,401,149,171,355,
210,140,495,368,483,309,229,266)( 31,461, 81,356,156,369,267,212,376,
472,457,469, 78,164, 47,203,198,131,290)( 32, 71,333,330,254,408,257,
481,500,302, 38,157,397,362,349,458,443,485,292)( 37,454, 51,183,111,
295,480,382, 90, 67, 85, 40,175,329,189,297,130,143,239)
( 41,442,182,402,510,150, 50,468,354,336,230,371,358,452,422, 72,205,
172,219)( 49,370,146,429,108,363,114,506,109,315,134,288,120,307,113,
75,235,117,372)( 56,144,508,331,319,411, 82,447,255,138,479,271,433,
94,493,430, 57,294,383)( 58,106,474,473,192, 86,217,261,438,484,225,
136,465,256,159,167,289,186,233)( 73,343,148,334,215,236,367,335,243,
286,277,346,406,339, 74,417,460,488,322),
( 1,379,304,444,513,381,423,284, 31, 33,428,460,206,346, 77,303,475,336
)( 2,311,488,195,233,313,287,199,275,279,389,196,174,181,186,226,
367, 9)( 3,383,290,234,120,321,425, 59,216,257, 86,247,164,106, 73,
430,496,129)( 4,457,482,268,387,258)( 5,292,341, 75,175,128,320,
366,161,146,414,236, 60,351,158, 82,407,399)( 6,227,409, 29, 16,489,
339,204,441,187,137,342,117,262,200,165, 46,130)( 7, 19,202, 83,305,
61,252,502,264,323,443,215,136, 98,123,433,458,291)( 8,324,222, 42,
418,251,170,451, 50,455,463,180,422,294,189, 13,512,365)
( 10,431,240,427,269, 81,493,473, 12,194,393,182,401, 36,352,500,484,
99)( 11,127, 92,297, 27,348,490,293,166,410,328,363,167,248, 62,154,
203,152)( 14,350,213,113,402,134,265,218,466,499,224,207, 68, 47,486,
377, 78,446)( 15,445,205, 94,440,219,286,436, 52,485,176,330,133,277,
140, 67,237,497)( 17,474,354,479,144,243,404, 95,271,148,316, 97, 64,
289,386, 38, 80,355)( 18, 88,337,396,263, 57,382,312,105,310,282,260,
89,476, 70, 20,435, 43)( 21,111,331,343, 72,376,242,314,419,453,370,
115,505,159,472,308,374, 51)( 22,480,266,246,368,153,235,212,281, 74,
390, 90,177,334, 63,467,217,340)( 23,439,142,244,478,380,192,448,356,
462,503,230,198,491,151,156,301,329)( 24,504, 96,223,345,131,288,245,
193,160,319,309,109, 26,437,183,259,471)( 25,272,125, 76,333,335,395,
168,241,412,459,332, 41, 37,326,141, 79,208)( 28, 35,285, 58,184,452,
483,171, 30,371,214,373,114, 40,511,394,100,221)( 32,250,391,438,118,
267,361,191, 54,506,103,132,197,477,270,149,169,232)( 34,110,344,249,
454,508, 45,143,119,375,315,231,299,417,405,420,398,461)
( 39,163,510,162,121,327,150,225, 91,201, 87,101,102,432,429,274,296,
498)( 44,481,317,434, 69,403,353,190,147,122,112,494,424,406,470,408,
468,155)( 48,229,487,388,256,372,108,228,306,456,185,364, 65,278,501,
126,139,357)( 49, 53,385,415,179,116,107,188,298,400,307,447,210, 93,
84,145,469,378)( 55,392,360,509,253,449,173,338,220,492,359, 85,322,
495,124,261,465,138)( 56, 71,421,280,209,255,507,238,283,318,104,135,
416,358,172,411,349,397)( 66,273,325,362,211,347,384,464,302,276,369,
178,450,442,413,426,254,157)(239,300) ] ],
[ 6, 33094656, 0, "2", [ [ 512, 1 ] ], 2, "PSU(3, 2^3).6",
[ "2A", [ 2, 8 ], 1 ],
[ ( 1, 43,269,344,137,460,493,386, 71,286, 34,394,506,470,423,270, 74,334)
( 2,317,501,112,179,510,449,340,122, 5,428,335,500,229,360, 21,273,
412)( 3,472,357,279,342, 18,196,362, 99,481,139,305,467,477,125,243,
84,143)( 4,128,453,238,164,378,217, 51,184,309,180,223, 65, 23,422,
49, 72,476)( 6,224,499,101,159, 98,455,330,272,311,385, 33,296,277,
420,413, 30,104)( 7,290, 83, 88,174,354,144, 32,236,225,484,173,304,
201,202,405,119,446)( 8,121, 37,466, 55, 66,361,483,419,425,397,306,
285,129, 24,319,307,124)( 9,206,314,434,161,337, 48, 82,293,189,447,
138,399,376,136,247,407,134)( 10,209,218, 42,245,401,256,116,200,214,
220,187, 16,289,152,445,244,109)( 11,132, 54,258,276, 93,322,194,198,
262,343, 20,379,409,246,382,133,249)( 12,167,464,417,456,299,234,172,
384,452,315,433, 57,288,507,427,486, 63)( 13,448,251, 56, 14,231,282,
241, 47,411,165,450,216, 38,462,347,495,252)( 15,298,142,242,398,255,
387,380,511,190,281,310,421,163,114, 95, 22,208)( 17,328,205,318,140,
368,291,186,358,371,239,469,228,475,265,438, 89,488)( 19,182,313,359,
485,257,512,373,321,430, 58,415,287,120,170,230, 59,503)
( 25,345,498,375,403,176,392, 69, 75,110,473, 52,156,389,459,442,292,
41)( 26,131,474, 27,171,268,346,353,451)( 28,105,465,212,166, 97,
203,280,193,325,204,197, 62,181,395, 44, 87, 46)( 29, 45,117,418,103,
267, 36,509,126,479, 64,275,348, 39,333,274,377, 78)( 31,444,429,436,
158,162,232,294,240,155, 61,111,213,188,149,341,300,160)
( 35,264,254,320,505,332,271,169,106,324,237,391,261,331, 91,308, 60,
226)( 40,115,151,316,349, 85, 79,253,440,482,383,435,102,497,219,195,
303,374)( 50,248,211,416,266,356,355,364,463,175,402,367,145,141,177,
393,426,157)( 53,363,284,458,221,478,351,406,489,352,494,471,127,123,
339,461,508,148)( 67,496, 94,454, 80,338,301,414,457,437,302,278,491,
113,108,153, 73,424)( 68,388,222,350,192,100,323,227, 96,490,408,260,
210,468,235,199,250,327)( 70, 86,295,312,168,381,372,329,185,410,513,
504,178,283,366,365,369,487)( 76,191, 81,326,233,259,370,215,150,443,
107,400, 92,263,492,183,118,431)( 77, 90,297,147,432,207,404,154,336,
396,480,390,135,130,441,146,439,502),
( 1,413, 95,394,480,270,153)( 2,206, 61,408,128,237,118)
( 3,301,182,220,158, 8, 4)( 5,397,384,304,145,486, 36)
( 6,126,401,140,202, 72,403)( 7,114,223,245,333, 78,191)
( 9, 43,107,173,308, 84,500)( 10,121,119,272,506,287,324)
( 11,125,222,337,358, 38,232)( 12,378,487,459,407,492,411)
( 13,382,209,505,189, 35,146)( 14,226,164,398,204,503,445)
( 15,511,131,179,108,102,477)( 16,127,430,231,494,190,201)
( 17,180, 65,352, 18,267, 66)( 19,271,117,143,136,157,176)
( 20, 74,155,293, 30,246,263)( 21, 57,174, 87,112,142,129)
( 22,266,260,489,361, 98,211)( 23,225,279,318,393,160,467)
( 24, 49, 39,215,341,243,383)( 25,244,405,284,482,214,438)
( 26,262,208,370,391,224, 99)( 27, 64,122, 31, 97,229,264)
( 28,475,373,162,207,347, 56)( 29,192,455, 75,446,261,357)
( 32,120,161, 37,478, 73,426)( 33,265,312,322,288,193, 88)
( 34,374, 89,476,213,508,241)( 40, 52,502,479,395,200,276)
( 41,186,461,210,436,504,238)( 42,250,297,485,371,428,298)
( 44, 51,453, 62,137,303,104)( 45,177,195,396,280,326,444)
( 46,443,366,281,339,462,147)( 47,334,315,498,258,168,457)
( 48,255, 82,338,313,203, 77)( 50,133,368,205,414,101,464)
( 53,296,291,499,314,116,379)( 54,307,283,235,481,510,294)
( 55,419,349,187,416,285,239)( 58,472,234,302,365,268,325)
( 59,418,139,410,409,295,354)( 60,188,228,221,490,257,372)
( 63,412,363,330,327,306,305)( 67,249,300,377,420,448,507)
( 68,110,184,170,424,435,468)( 69,216,496,469,364,402,441)
( 71,389,466,512,415,385,321)( 76,212,346,299,282,217,344)
( 79,367,390,471,484,185,124)( 80, 86,219,376,450,404,311)
( 81,460,421,178, 90,329,386)( 83,242,439,240,388,278,431)
( 85,103,320,369,488,442,392)( 91,465,134,493,151,360,501)
( 92,319,159,197,451,138,345)( 93,183,252,328,236,495,433)
( 94,106,375,316,458,130,454)( 96,163,355,359,362,452,336)
(100,427,150,422,423,259,144)(105,253,277,343,509,348,350)
(109,230,335,254,437,269,491)(111,135,152,256,406,323,497)
(113,434,399,447,198,167,196)(115,292,400,353,381,470,429)
(123,149,181,194,309,248,474)(132,449,251,199,290,473,425)
(141,233,156,247,342,432,274)(148,218,169,273,227,172,340)
(154,463,331,351,171,332,456)(165,310,380,166,286,440,417)
(275,483,289,317,387,356,513) ] ],
[ 7, 33094656, 0, "2", [ [ 512, 1 ] ], 2, "PSU(3, 2^3).Sym(3)",
[ "2A", [ 2, 8 ], 1 ],
[ ( 1,328,352,413,417,187,439,468,397, 81, 18,311,147,477,105,224,513,405,
79,235,496,357,338, 68, 23,174,399,154,116,345,346,123,443,216,296,
208,233,113,420,429,464,342,483, 77, 46, 97,388,281,302,111,245,204,
478,156, 99,101, 66,321,295,146,395,312,268)( 2,171,326,446,183,310,
117, 85,305,479,128,427,497,401,179, 65,452,199,398,289,436,370,470,
39,213,194, 94,362,125,384,246,347,160,286,390,447,259,323, 74,223,
414,133, 27,339, 44,374,454,463,343,243,485,261,190,500,126, 42,108,
103,210,472,315,264,381)( 3,437,249,166,351,115,284,512,337, 88,300,
82,304,486,297,139,391,444, 22, 47, 17,363,353, 56,200,143,449,336,
89,229,169,119,379,474, 41, 78,191,453,114,277,416,142,393,412,492,
402,102, 16, 28, 25,481,410,442,469,386, 63,148, 40,244,318, 76,426,
36)( 4,144,177,192,498,465,432, 92,466, 84,266, 73,487,109,324,254,
232,495,506,307,212,152,138, 11,260,396, 90,134,329,309, 35,473, 71,
118,237,332, 8, 5,220,195,100,198,382, 61,418, 33, 7,505, 12,290,
375, 98,387,206,217,256,448,356,269,227,376, 83,247)( 6,165, 43,175,
407, 20,240, 38,140,265, 86,509,476,239,316,136,493,130,106,494,197,
314,184,350,335, 45,408,403,392,193,501,135, 93, 34,162,475, 49,163,
502,482, 75,445,499,121,285,460,327,207,157,178,230,301,241,253,251,
354,283,151,484,168,278, 58,242)( 9,107,180, 48,394, 10,257, 67,364,
293,170,238,221,228,373,215,202,490, 54,308,383,341, 55,182,287, 52,
96, 87, 64,267,361,349,435,510,378,319,459,415,322, 53,422,425, 14,
218, 30,458,325,104,161,274,150,366,131,236,298, 13,271,455,480,132,
248,389, 72)( 15,124, 26,141,372, 32,110,424,377,306,451,129,457, 80,
400,201,250,303,145,434,158,122,263, 62,137, 59,282, 19,258,423,360,
214,120,276,462,188,367,507,112,294,467,380, 51,333,252, 50,331,313,
344,433,369,186,231,320,368,273,234,330,189,225, 91,185, 57)
( 21,340,450,211,348, 29,270, 70,406,385,172,441,159,226,504, 37,181,
196,176,404,488,508,164,149,430,456,421, 69, 24,255,411,272,291, 95,
31,292,503,431, 60,203,153,359,419,317,428,440,511,167,491,409,209,
155,127,299,173,280,262,471,205,438,489,355,219)(222,365,334,275,461,
358,371), ( 1, 66,318,294,399,196, 53, 18,213,320,513,425,390,277)
( 2, 14,281, 89, 80,461,332,380,260,202,240,220,207,446)
( 3,407,402,442,497,168,429,464,489,400,326,219,335,470)
( 4, 78, 69,237,410, 93,305,136,291,212,133,334,177,420)
( 5,418, 50,205, 15,474,255, 63,191,455,467,363,162,465)
( 6, 37, 40,358,155,426,110, 8,236, 43, 33,491,139,317)
( 7,422,119,440,231,262, 65,353,204,161,456,248,239,322)
( 9,151,371,185,433,394,487,211, 17,121,445,360, 46, 87)
( 10,352,378,356,115,350,389, 47,408,279, 60, 88,404,492)
( 11,344, 36,169,300,266,292,480,423, 59,314,327,190,278)
( 12,341,114,159,296, 45,506,386,323, 34, 51,481,437,129)
( 13,243,494,508,123,149,165,409,430, 91,112,187,316,346)
( 16,385,245,276,377,146, 90, 23,477,324,150,287,419,444)
( 19,414,471,145,387,137,225, 94,451,268,140, 26, 29,275)
( 20,505, 73,406,182,246,152, 22,364, 52, 39,479,457,391)
( 21,143,478,280,396,297,463, 62,283,375,315,484,325,148)
( 24,510,348,365,308,398,415,272,111,367,512,232, 81,228)
( 25,128,208,174, 74,273,238,469,271,473,247,321,181,388)
( 27,163,483,362,452,175,459,333,290,126,153,141,135, 61)
( 28, 96,338,108,486,309, 58,285,488,443,157,124, 49,116)
( 30,113,257,413,370,507,500,226,304,347,172,261,454,499)
( 31,286,178,441,351,411,403,173,200,303,368,382,131,217)
( 32, 44,421,118,160,328,188,117,284,354,359,374,154,183)
( 35,361, 95,263,376,373,460)( 38,170, 57, 48,167,498,227,189,288,230,
439, 56,274,395)( 41, 97, 76,502,298,436,199,401,109,412,130,340,186,
331)( 42,366,171, 67,466,184,301,156,259,179,349,449,416,214)
( 54,427,342,343,144,102,265,438,405, 79,496,142,295, 72)
( 55,103,122,180,462,223,158,229,495,435,192, 71,176,197)
( 64,379,270,475,147,434,504,302,307,345,299,264,222,319)
( 68,383, 92,120,369,306,458,125,424,127,384,472,503,106)
( 70,203, 99,509,193,201,101,235,289,105,215,417,453,244)
( 75,166,269,381,218,448,431,250,206,252,249,357,310,233)
( 77,224,468,258,313,134,450,100,447,329,485,482,476,293)
( 82,256,311,164,221,241,355,397,339,107,216,330, 86, 85)
( 83,337,210,254,104,501,392,251,312,194,490,282,428, 98)
( 84,267,195,198,132,393,138,372,493,242,253,336,432,209) ] ],
[ 8, 49641984, 0, "2", [ [ 512, 1 ] ], 2, "PSU(3, 2^3).3^2",
[ "2A", [ 2, 8 ], 1 ],
[ ( 1,451,153, 19,339,179,319,180, 11,471,480,376,494, 54,372,275, 8, 25)
( 2,357,447,198, 48,318,343, 17,217,262,213,233,152, 45, 66,133, 83,
74)( 3,379,126, 82,174,401,312, 9,324,192,507,272,199,258,117,249,
197,356)( 4,167,482,252,444,441, 15,434,410,508,220,123,121,487,114,
34,414,156)( 5,472, 20, 86,254,148,246,334,327,102,212,336,274,210,
259,235,496, 38)( 6,215,436,448,263,394,205,147,352,112,367, 42,454,
457,348,421,330,349)( 7,358,108,413, 97,191,328,209,470,445, 73,439,
84,326,456,101,509,346)( 10,511, 70,196,223,104,353, 92,250,181,206,
234,360, 88,406,424,105,492)( 12,304,175,283,386,422, 31, 50,239,497,
504, 24,506,172,467,137,380,404)( 13,222, 33,227,428,329,280,426, 65,
292,261,359,177,301,399, 49,293, 40)( 14,510,228,294,405,432,178,469,
135,313,466,363,170,443, 23, 96,435,157)( 16,473,200,158,395, 61, 78,
388,243,460,237, 55, 79, 67,265,479,315, 22)( 18,354,204,219,211, 87,
296, 62, 52,160, 51,478,169,332,267,264, 43,182)( 21, 64, 27,450,311,
299,481,194,499, 99,340,375,297,416, 57,125,163,495)( 26,150,111,188,
427,391, 91, 80,164,286,247,430,187,378, 94,273,455,442)
( 28,390,230,408,341,513,361,488,402,310,381,407,256,420,309,393,161,
53)( 29,151,342,331,429,236,438,113,109,184,387,110,221,302,389, 93,
90,216)( 30,127, 76,128,291,143,316,195,193,502,248,130,320,242,185,
500,118,307)( 32,186, 85,107,122,132,244,214, 60,337,208, 95,366,370,
270,145,282,385)( 35,225, 46,306,464,100,400,365, 56,465,493,425,347,
411,485, 39,490,350)( 36,368,351,396, 69,266)( 37,303,245,176,138,
89,173, 72, 81,409,268,139,271,468,226,463,298,168)( 41,134,503,136,
486,162,189, 68,325,433,308,453,131,383,202,224,397,477)
( 44,240,218,364,142,207,171,284,446,276,232,115,278, 59,317,314,106,
461)( 47, 71,333,374,483,403,338, 63,201,253,166,159,119,437,377,141,
323,140)( 58,476,371,449,183,335,149,238,190,384,412,260,345,269,431,
287,146,295)( 75,440,344, 98,251,255,290,322,382,505,279,475,484,491,
355,474,231,305)( 77,452,373,498,281,285,103,417,419,458,418,462,144,
512,203,321,289,288)(116,501,155,124,392,154,415,398,459,423,277,229,
129,241,257,369,300,165)(120,489),
( 1, 59,344,198,214, 27,324,258,488,260,489,293,297,170,216, 79,402,478
)( 2,460,371,181,381, 58,353,383,227, 62,378, 46, 96,417,505,377,
442,422)( 3,147,274,233, 56,362,320,393,375,507,196,361,465,330,182,
379, 69,447)( 4,396,395, 25,327,509,202,242,107,328, 60,105,504, 12,
397, 63,130,458)( 5, 24,449,111,173,315,225, 8,430, 99,387,474,126,
438,145,103,119,247)( 6,116,466,392,358, 34,299,376,300,144,100,369,
284,420,157,102,167, 57)( 7,408, 86,464,136,176,496,471,120,132, 89,
30, 18,278,252,204,382, 61)( 9,226,316,480,210,186,401, 71,158,394,
36,109,363,251,257,508,502, 50)( 10,409,178,189,270, 39, 53,339, 33,
209,468,277,445,467,172,140,174,482)( 11,400,454,133,452,473,212, 21,
388,255, 52,207,253,283,319,398,352, 84)( 13,171, 68,462,164,246, 43,
77,342,240, 83,423,341,272,421,113,151, 95)( 14,108,372,455,301,236,
206,127,354,492, 19,411, 54,444,139,235,318,513)( 15,439,331,428,302,
70,229,135,224,282, 76,137,292,463,159,312,309,390)( 16,332,114,121,
131,491,254,484, 31,115,385,192,308,437,122,419,195,222)( 17,265)
( 20,296,298,281,469,285,304, 93,129,143,243,506,183,215,193, 47,248,
269)( 22, 42,118,124,457,200,391,286,499,156,335,234,104,486,459,357,
51,218)( 23, 73, 90,333,194,180,493,404,351,433,512,441,403,241,323,
35,495,271)( 26,134,163,399,187,175,160,273, 91,294,264, 75,219,338,
311,232,340,453)( 28,431,432,373,412,288, 80,138,305,477,217,201,406,
470,188, 41,359, 45)( 29,434,415,266,220,148, 37,231,448,287,380,228,
410,494,238,165, 82,244)( 32,510,476, 88,456,356,155, 49,483,337,125,
97,245,256, 65,239,424, 81)( 38,485,290,280,249,184, 87,203,429,334,
501, 64, 98,427,413,349,166,197)( 40,329,450,364,169,191,317,336, 67,
498, 48,451,117,425,443,149,345,355)( 44,179,230,479,168, 55,211,276,
291, 72,487,263,370,101,303,405,237,461)( 66,321,306, 92,389,326,185,
268,322,348,500,418,343,310,365,503,123,142)( 74,262,472,314,374,153,
190,497,347,350,128,267,199,261,446,435,213,275)( 78,346,440,150,289,
366,223,307,367,141,511,436,407,177,475,110,368,146)( 85,250,490,208,
154,152,426,279,112,325,295,205,384,106,481,416,360,414)( 94,161)
(162,221)(259,313) ] ],
[ 9, 99283968, 0, "2", [ [ 512, 1 ] ], 2, "PGammaU(3, 2^3)",
[ "2A", [ 2, 8 ], 1 ],
[ ( 1,374,238, 83,155,163, 79,352, 3,184,405,313,435,216,454, 47,330, 77)
( 2,309, 82,421,285,500,328, 39,252,434,179,509, 42,207,141,477,246,
187)( 4,263,332,138,492,195, 88,512,315, 5,198,415,151, 26,226,385,
186,483)( 6,278,367,241,137,316,180,442,394,123, 85,126, 92,136, 36,
513, 56,174)( 7, 73,486,208,340,439,472,436,267,425,463,393,236,450,
292, 28,206,365)( 8,470, 89,102,355,300,181,176,133,308,387, 97,357,
438,446,302, 81,182)( 9,510,310,247,113,375,271,185, 60,257,265, 30,
373,258,416,359,494,441)( 10,336,480,130,223,311,290,390,464,282,391,
440,204,465, 76,153,203,284)( 11,168,462,109,150, 38, 41,448, 43,117,
414,244,234,288,428,101, 15,125)( 12,232,112,501,254,506,262,338, 54,
511, 87,422, 53,294,287,171,305, 45)( 13,384,417,481,280,211, 80, 72,
157,291, 57,389,183,188,122,235,202,220)( 14,351, 29, 68,196,147, 64,
392, 98,127,276,346,274, 86,192,497, 21,170)( 16,424,383,378, 63,350,
396, 61,432,217, 94, 51,135,485,386,430, 22, 95)( 17,452,356,161,474,
121,119,426,312,406,323, 52,377,106,457,281,231,233)( 18,348,335,221,
40,388,325,449,358,242,322,270,407, 20,145,225,467,455)
( 19,400,329,326,100,364,410,164,376,209, 48,299,261, 96,461,260,508,
237)( 23,433,317,266,116,466,222,108,199,259,381,495,297,115, 34,215,
395,224)( 24, 71,301,197,107,152,269,193,245,169,295,320,166,279,423,
172,337,255)( 25,372,248,437,493,228,368,149,403,114, 66,412,129,379,
404,398,240,419)( 27,445,177,456,178,298,144,370,158,468,250, 46, 69,
227,353,160,118,363)( 31,229,289,201,409,253,354,212,214,293,469,167,
362,128,230,344, 35,447)( 32,200,507,304,496,219,143,173,397, 59,314,
499,191,306, 84,505,132,162)( 33,361,399,444,482,487,110,303,273,347,
256,420,103,408, 75,283, 91, 74)( 37,341,307,120,343,146,251,319, 55,
402,382,331,327, 67,249,451,131,334)( 44,380,342,475,360,471,190,218,
418,479,296,413,345, 65,478,411,371,286)( 49,504,111,318,264,205,105,
333,366,156,148, 58,268,489, 78,104,349,458)( 50,491,134,401,324,490,
194, 62,453,277,159,460,502,498,175, 93,213,321)( 70,239,139, 99,142,
243)( 90,339,488,275,140,473,503,272,427,165,431,124,459,484,154,189,
369,443)(429,476), ( 1,161,279,429,144, 3,164,374,440,511,324,267,
288,342,496,480,276,420)( 2,194,168,340,293,456,273,338,204, 67,240,
86,242,261,151,274,381,107)( 4, 10,203,393, 44,320,438,123,441,444,
223,159,495, 75, 14,268, 22,459)( 5,375,477,298,193,386, 32,388,197,
150,304, 31,337, 66,353,367, 91,128)( 6,446,431,269, 81,363,434,124,
196,294,497,217,346,466,305,291,137, 15)( 7, 9,366,316,283,460,226,
33,235,354,503, 35,463,507,135,442, 65,392)( 8,453,189, 29,180,297,
469,222,172,437, 28, 16,410, 77,345,509,300,271)( 11,396,332,100,202,
398, 61,475,256,146,323,333,296,299,111,231,315,246)( 12,505,350,270,
118,506, 34,233,165, 21,435,166,230,239, 40,258,423, 57)
( 13,409,248,481,362,307,108,335, 72,399, 73,163,205, 50, 84,364,175,
218)( 17, 23,395,121,277,452,117,220,179,206,142,183,152,400,303,504,
238, 62)( 18,426, 47,471,490,148, 49,361,430,377,317,382,499,191,215,
99,336,244)( 19,418, 26,413,143, 45,212,228,347,457,141,192,292, 54,
92,249,260,284)( 20, 24, 52,254,312, 89,419,236,211, 83,479,210,349,
262,325,406,454,500)( 25,485,302,272,216,328,365,173,145,184,352, 30,
264, 71,306,289,171,207)( 27,158,462,331,105, 55, 37, 78,482,414,127,
450,439,103,120, 82, 42,170)( 36,101,402,157,358,250,379,489,219,371,
88, 70, 53,369,407,501,464,116)( 38,156,247,470,214,209,275,313,167,
311,391,411,472,136,155, 51,486, 94)( 39,301,326,138,199, 64,160,282,
427,359,343,186,370,389,401, 69,243,387)( 41,188,484,232,185,140,178,
474,468,181,198, 74,110,169,200,488,114,334)( 43,227,412,318,348,176,
281,131,376,287,355,122,473,445,372,321,112,251)( 46, 90,104,153, 97,
378,415,201,483,421, 48,467,508,394,190,448,102,403)( 56,380,147,109,
241,408,177,397, 59)( 58,339,455,234,295,491,383,424,187, 93,309,162,
266,417,139,310,149, 96)( 60,449, 98,341,195,433,134,356,255,115,263,
436,278,125,106,512,252, 68)( 63,373,425,487,329,368,213,308,360,253,
154,405, 95,237,458,416,113,492)( 76,510,286,133,330, 85,259,319, 79,
422,344,476,461,432,245,385,208,498)( 80,130,351,428, 87,119,132,465,
357,290,502,224,280,221,229,174,478,322)(126,493,257,265,384,443,513,
129,285,182,327,494,225,390,404,447,451,314) ] ],
[ 10, 134217216, 1, "2", [ [ 512, 1 ] ], 3, "PSL(2, 2^9)",
[ "L", [ 2, 512 ], 1 ],
[ ( 3,504,512, 78,188,495,115,511,223, 22,198,280,233,131, 60, 47,306,121,
319,263,176,215,158,230,264, 40,353, 17,205,218,142, 99,153,423,214,
74,341,308,292, 58,403,313,291,372,238, 61,383, 79,376,323,361, 37,
237,420,242,240,418,289,367,507, 25,450,411,229,297, 7, 62,492,231,
327,448, 43,114,120,335,255,371,299,167,409,428, 80,184,502, 82,132,
407,307,441,336,126, 27,128,365,439,300,191,415,471,166,393, 10,239,
444,359,206,366,465,480,254, 33,161,106,169,202,369,427,416,368, 69,
357,404,345,179,342,346,356,398,248,259,258,257,268,118,160,170,174,
337,171,112,159,447,148,100, 89,147,314,347,410,355,483,262, 36, 51,
150,310,157, 72,277,506,123,350, 45,101,325,216, 77,151,388,489,390,
180, 75,209,109,384,434, 14,332,436, 88,107,349,217,145,261,181,396,
402,473, 68,189,285, 24,454,509,219,287,105, 66,491, 9,149,227, 98,
276,274, 96,279,479,155,193,140,437,133,455,278,144,225,203,113,458,
224,208,175,442,302, 93,363,417,374,298,311,499,163,476,252,286,358,
301,340,253,197,395,210,469,456,385,283,236,318,494,293, 5,401, 21,
328,438, 4, 12,513,164,493, 26,103,187,348,271,177,412,222,312,378,
49,381,129,199,389,338,125,305,275,183,108,143, 31,475,461,394,375,
11, 39, 64,321,295,304,316,173, 87,172,152,116, 34,446,324, 8,486,
154, 90, 85,330,288,399,474, 92,443,484,405,190,290,510, 83,360,282,
250, 20,354,244,488,235,322,196,451, 63,377,370,459,425,501, 97,296,
267,136, 52, 84, 44,182, 71,487,414, 53,269,260, 95,246,440, 18, 19,
48, 38,460,481,201, 94,379,397,449,251,110,462,273, 46,185, 50,303,
16,284,382, 81,430, 59,165, 13,309,392,130,386,124,207,503,351,457,
86,435,134,232,500,213,466,331,470,243, 54,406,265, 67,119,137,422,
315, 35, 56,478,468,497,498, 76,270,421,256,247,463,102, 29,445,334,
472,432,464,380,249,220,419, 15, 91, 57,146,139,453, 65,320,194,281,
28,272,162,496,266,234,156,433, 6,226,326,111, 32, 73,424, 42,117,
228,186,431,426,362, 30,508,192, 70,482,400,364,344,429,343,200,212,
221,195,452,477,505,141,122, 55, 41,485,373,408,333,241,211,391,178,
127,317,387,135,467,138,204,294,104,339,245,168,329,413,490, 23,352),
( 1,471, 2)( 3,459,482)( 4, 83,302)( 5,458,196)( 6, 9, 51)
( 7,125,186)( 8,189, 85)( 10,188,473)( 11,133,116)( 12,176, 47)
( 13,430,238)( 14,354, 34)( 15,362,256)( 16,115,445)( 17,251, 56)
( 18,414,393)( 19,248,510)( 20, 36,488)( 21,261,397)( 22,504,143)
( 23,360, 41)( 24,472,181)( 25,380,484)( 26,273, 75)( 27,216,292)
( 28,247,326)( 29,509,396)( 30, 45,332)( 31, 80, 65)( 32,454,157)
( 33,499,431)( 35,212,249)( 37,331,440)( 38,114,303)( 39, 71,151)
( 40,405,426)( 42,109,209)( 43,340,127)( 44,131,266)( 46,219,358)
( 48,269,191)( 49,232,337)( 50,194,104)( 52,494,193)( 53,124,231)
( 54,466,495)( 55,132,252)( 57,304,255)( 58,418, 66)( 59,145,253)
( 60,152,211)( 61,282,139)( 62,390,367)( 63,342,487)( 64,199,286)
( 67,165,263)( 68,451,108)( 69,309,446)( 70,183,240)( 72,490,159)
( 73,379,387)( 74,481,315)( 76,218,460)( 77,185,271)( 78,198,275)
( 79,313,274)( 81,118,295)( 82,311,333)( 84,420,422)( 86, 97,335)
( 87,182,350)( 88,357,168)( 89,455,496)( 90,147,260)( 91,507,399)
( 92,413,317)( 93,452,166)( 94,172,100)( 95,101,375)( 96,409,223)
( 98,281,506)( 99,206,277)(102,177,369)(103,401,461)(105,224,130)
(106,225,200)(107,434,234)(110,443,345)(111,284,485)(112,254,383)
(113,330,129)(117,424,470)(119,178,270)(120,150,492)(121,221,288)
(122,169,479)(123,135,410)(126,427,441)(128,432,475)(134,385,325)
(136,280,226)(137,349,278)(138,406,497)(140,491,435)(141,322,245)
(142,320,370)(144,205,323)(146,163,170)(148,243,493)(149,371,306)
(153,228,474)(154,318,283)(155,341,376)(156,505,386)(158,236,230)
(160,167,184)(161,208,364)(162,486,242)(164,391,237)(171,353,258)
(173,389,298)(174,457,338)(175,467,502)(179,259,291)(180,210,351)
(187,339,308)(190,408,352)(192,346,437)(195,207,433)(197,319,214)
(201,513,217)(202,368,411)(203,503,287)(204,402,416)(213,373,419)
(215,314,398)(220,498,400)(222,392,262)(227,382,442)(229,235,468)
(233,244,508)(239,444,336)(241,347,388)(246,421,423)(250,299,265)
(257,456,464)(264,425,272)(267,356,501)(268,476,453)(276,348,377)
(279,321,324)(285,300,511)(289,483,307)(290,417,438)(293,403,512)
(294,310,355)(296,489,316)(297,412,344)(301,447,334)(305,359,463)
(312,450,429)(327,361,384)(328,372,329)(343,407,469)(363,477,415)
(365,439,465)(366,480,428)(374,436,500)(378,404,478)(381,394,395)
(448,449,462) ] ],
[ 11, 402651648, 0, "2", [ [ 512, 1 ] ], 3, "PSL(2, 2^9).3",
[ "L", [ 2, 512 ], 1 ],
[ ( 1, 89,126,162,436,359, 56,148,253,289,163,414,192,232,244,189, 26,248,
320,176, 95,167,147,226,171,355,223)( 2,337,238,376,394,511,480,278,
291,438,161,308,329,373,313,374,175, 77,259,507, 91,475,327, 34,293,
312,426)( 3,425, 92,431,263,100,360, 49,423,462,449,160,195, 52,260,
351,432,499, 99,164, 17,280, 96,512,249, 37,456)( 4,409,250,457,106,
127,258, 43,358,318,364, 32,328,178,187,447,371, 30,131, 53,208,215,
422,118, 47,270,467)( 5, 72,322,276,508,388,304,349,334,109,365, 90,
13,188,213,406,298,428,489,218,408,262,509,482,201,104,494)
( 6, 65,450,145,180,451,506,216,179,362,209,190, 44, 61,285,237,194,
279, 51,266,470,372,418,424,309,486,277)( 7,316,211,500, 64, 14,202,
220,454,325,466, 59, 81, 55,230, 27,497, 79, 93,412, 62,434,166,352,
446,135, 94)( 8, 36,261,140,292,105,283,513, 31, 12,395,144,133,390,
234, 68, 23,452,119,387,399,427,128,440,473,150,212)( 9,382,173,402,
344,333,306, 40,168,111,110,430,139,463,229,410, 80,397,214, 46,346,
153,113,205,439,317,340)( 10,411,117,314,368,227,303,200, 50, 58,284,
66, 19,481,420, 38, 87,343,141, 97,311,393,157,419, 76,471,197)
( 11,338,137,299,102, 21,301,107, 78,257,124,103,125,417, 88,115,177,
421, 15,502,240,217,381, 42,281,324,254)( 16,300,184,476,290,191,181,
158,332,271,114,469,384,116, 84,310,404,367,154,134,273,203,198,487,
488,400, 73)( 18,391,146,186,272,222,498,370,246,247, 74,196, 82,121,
445,242,295,151, 75,443,460,210,233,170, 69, 54,241)( 20,101, 35,415,
405,484,123,339,386,379, 22,493,265,274,159,287,377,286, 28,396,433,
392,357, 85, 25,112,345)( 24,130,231,361,225,342,182,236,441,485,477,
142,120,478, 48,294,138,331,341,504,459, 45,458, 83,143,136,224)
( 29,245,156,444,468, 41,380,264, 86, 70,483,490,330,219,448,495,169,
39,129,193,413,256,269,122,435,174,453)( 33,363,297, 98,479,207,302,
366,385,369,152,228,335,503,383,465,378, 57,305,319,288,375,251,165,
71,496,461)( 60,315, 63,268,323,353,239,472,336,389,416,185,183,398,
356,252,429,474,267,155,401,492,255,204,326,505,321)( 67,206,347,243,
199,282,491,235,403,307,350,132,464,442,275,108,510,407,437,149,455,
172,221,501,348,354,296),
( 1,301,117, 68,468,321,415,248,493,408,317,119,491,342,338,210,229,
185,496,218,359,227,217,237,268,337,452)( 2,392,372,101,205,286,128,
157,339,460,282,170, 37,422,329,300,365,319,190,179,488,105,434,292,
206,132,366)( 3,421,424,481, 62,429,148,291,464, 74, 84,208,508, 38,
387,318,182,325,289,267,323, 52,147,242,246,245,278)( 4,407,351,497,
234, 89,402, 24,374,172,436, 29,343, 10,158,211,175,383,386,213,249,
139,411,310,181,471,156)( 5,226,140,417,426,104,207,358,224, 34, 61,
223,483,296,212, 30,513, 99,228, 51,124,266,162,193,431,304,486)
( 6,368,239,290,107, 48,153,509,479,261, 22,287,130,138,499, 93,428,
315,335,276, 43,164,388,454, 23, 35,427)( 7,472,255,262,143,377, 76,
209,216, 19,326,485,159,478, 42,284,453,306,236,275, 31, 49, 92,369,
309,459,136)( 8,254,277,200,462,106,505,247,348,281,443,311,447,451,
180,384,413,288, 21,465,151, 77, 86,435,506,308,418)( 9,327,463,240,
111, 33,401,184, 26,238,498,373,109,188,440,250, 32,173, 65, 27,214,
274,378,458,221,360,231)( 11,405,163,425,129,199,297,146,118, 56,480,
116,375,474, 54, 25,295,233, 70,312,490,219, 36, 12,169,477, 17)
( 13,320,367,303,350,293,419,252,473,445, 46,438,334,197,195, 73,370,
389,406,442,152, 53, 18,123,165,484,446)( 14,416,260,500, 66,302,398,
385, 55,126,144,230,455, 16, 98,154,430,269,475,272, 39,393,222,457,
202,371,437)( 15,379,314,215, 20, 80,137,196,142,279,294,363,390,174,
397,441,259,394,145,403,270,380,357, 94, 83,150,356)( 28,448,177,503,
364,341,511,420, 87,194, 57,108,492,507,265,187,160,168,133,449, 45,
355,241,263,489,433,450)( 40,305, 78,201, 72,299,432,410,361,220,135,
127,167,399, 85,376,469,347,191,225,171,332, 64, 47,203,186, 44)
( 41, 95,141,382,345,404,161,280,494, 96, 59,313,346,400,340,307,391,
439,331, 60,235,381,110,336, 50,134,251)( 58,125,273,283,487,176,412,
510,333, 67,258,354,352,344,100, 90,113,264,285,362,504,131, 88,178,
192,198,396)( 63,189,328,414, 91, 97,409,121,183,253,470,444,456,423,
467,257,512,316,330, 71,243,114,244,353, 81,395, 79)( 69,103,482, 75,
322,495,149,461,349,466,120,166,122,324,501,112,502,476,271,204,115,
102, 82,232,155,256,298) ] ],
[ 12, 1207954944, 0, "2", [ [ 512, 1 ] ], 3, "PGammaL(2, 2^9)",
[ "L", [ 2, 512 ], 1 ],
[ ( 1,125,161, 60,126, 18,396,345,142, 13,230,152,413,320, 63, 16,182,450,
227,385,280)( 2,180,414, 77,502, 37,168,303,484, 50,291,127,467,209,
254,349,186,342,440,465, 5)( 3, 25,473,290, 23,149,501,253,483,104,
234, 47,504,114,274,121, 65,282,457, 40,113)( 4,284, 75, 48,459,398,
90,252,304,341,472,143,327, 82,387, 97,279,207,131, 74,448)
( 6,229,391, 22,221,392,334,289,132,347,115,335, 51,146,197,135, 72,
287,489, 39,172)( 7,119,325,268,442,456,191, 69,394,205,310,177,198,
130, 14,301,374,240, 95,213,401)( 8,154, 76,136,169, 9,482,225,481,
417, 59, 86, 11, 91,181, 78,453,463, 87, 62,487)( 10,138,375, 80,316,
499,179,378,356,276,178,237,369,376, 67, 92,354,454,285,210,365)
( 12,443,323, 66,238,433, 53,435,432,147, 45,471,251,265,269,206, 58,
98,164,233,344)( 15,425,218,337,148,247, 52,241,107,331,338,321,308,
437, 73,226,507, 70,214,232,367)( 17,302, 35,297,155,381, 43,129,509,
449,294,430,409,109,439,159,300,506, 56,400,100)( 19,145,427,322,171,
469,212,352,513, 96,397,386,373,102,420, 20,393,190,242,434,176)
( 21, 55,262,236,156,328, 71,418,411,106,436,446,189,407,281,255,257,
496,313,184,204)( 24,384, 31,412,200,111, 42,405,118,188,395,423,273,
174,245,298,428,377,261,199,350)( 26, 81,219,137, 99,244, 57,361,329,
485,462,475,293,333,105,239,260,493,208,110,256)( 27,267,103,351, 49,
512, 93,286,175,153,324,263, 41,306,390,330,258, 33,157, 38,480)
( 28,495,170,382,511,183,466)( 29,402,235,315,228,243,160,296,470,359,
288, 34, 79,478,368,185,445, 44,222,371,404)( 30,510,355, 54,422,383,
336,216,101,431,319,246, 36,312,203,508,326,151,441,249, 88)
( 32,116,318,460,277, 89,380,503,343,491,340,122,309,123,112,278, 61,
317,224,192,133)( 46,166,461, 85,490,358, 84,360,108,194,187, 68,173,
476,474,419,364,220,248,424,500)( 64,492,275,426,477,497,458,452,144,
292,403,421,348,283,305,363,264,195,455,494,498)( 83,339,250,124,139,
479,415,201,259,120,379,211,165,307,193,346,163,231,372,141,468)
( 94,451,162,399,505,429,406,353,366,486,311,314,167,266,271,140,370,
416,272,464,134)(117,299,488,217,150,295,408,447,332,223,444,438,388,
196,158,362,410,357,215,270,202),
( 1,276,192,478,469,135,413,476,165,399,116,285,309, 47,403, 25, 84,
93,243,134,426, 35,319,364,379,393, 17)( 2,187,434,368,410,416, 85,
432, 67,499,385,181,457, 4, 55,342,267,130,360,159,459,512, 99,290,
418,155,212)( 3,470,158,419,485,481,245,462,331,108,215,453,237,128,
223, 26,127,230,166,491, 14,227,284,211,438,124, 11)( 5, 18,392, 56,
431, 75,359,396,370,191,112,273, 89,452,335,157,164,255,137,196,449,
256,323,310,252, 62, 13)( 6, 81,325,101,345,277,263,182,126,357, 32,
456,502,246,236,466,109,189,489,275,261,337, 37,417,195, 23, 44)
( 7,421,174,115,343,296,487,163, 27,442,383,111,443,484,170,425, 91,
34,268,355,458,483, 64,235,125,239,371)( 8, 69,507,201,188,257,305,
180, 51,138, 97,154,353,117,312,504,281,358,295,384, 71,479,304,401,
114,151, 70)( 9,501,184, 61,495, 60,120,433,369,199,327,388,303,404,
144,133, 54, 49,408,249,176,506,395,238, 66, 58,100)( 10,287,503,242,
183,510, 16,299, 20,424,306,206,316,298, 24,279,278,492,219,272,480,
98,203,347,407, 41,352)( 12, 74,216,207,454,372,214, 50,200,308,233,
437,400,152,439, 22,266,513,472,147,113,156,402,150,169,289,167)
( 15,177,336,105,269,505,292,315,186,314,103,198,488,179, 77,341,367,
411, 48,318,202, 76,264,500, 38,104,205)( 19,274, 39, 90,291,250,162,
422,386,350,374,178,148,221,280,197,232,348, 29,365,226,253,460,412,
430,259,414)( 21,136,340,373,397,122,288,307,496, 86,190, 63,194,106,
140, 45,132,377,473,123,380, 92,330,493, 33,129,320)( 28,356,477, 46,
83,251,362,244,260,423,390,218,258,329,119,490,297,498,375,231,428,
382,294, 65,240,461,406)( 30,450,311,482,415,429, 52,313, 87, 78,209,
145,497,378,389,349,444,234,217,300, 82,463,334,193,447,508, 42)
( 31,474,391,363,142,398,241,376,175,110,118,354,271,265,222,208,172,
494,283,248,435,509,464,229,455,293,224)( 36,204,173,436, 40,344,262,
139,441,107,322,475,328,143,282,185, 68,333,213,420,440, 95,332,131,
102,465,161)( 43,317, 96,301,228,146,381,339,448,149,338,445,302,394,
225, 72, 59,324,220,446,321,168,346,486, 80, 94,160)( 53,141,153,366,
270,387,247,427, 88,471,286, 79,121,254,511,361,171,467, 73,326,451,
405,409,210, 57,351,468) ] ],
[13, Factorial(513)/2,1,"2",[[512,1]],511, "Alt(513)", ["A",513, 1], "Alt"],
[14, Factorial(513),0,"2",[[512, 1]],513, "Sym(513)", ["A",513, 1], "Sym"]];
PRIMGRP[514]:=
[[1, Factorial(514)/2,1,"2",[[513,1]],512, "Alt(514)", ["A",514, 1], "Alt"],
[2, Factorial(514),0,"2",[[513, 1]],514, "Sym(514)", ["A",514, 1], "Sym"]];
PRIMGRP[515]:=
[[1, Factorial(515)/2,1,"2",[[514,1]],513, "Alt(515)", ["A",515, 1], "Alt"],
[2, Factorial(515),0,"2",[[514, 1]],515, "Sym(515)", ["A",515, 1], "Sym"]];
PRIMGRP[516]:=
[[1, Factorial(516)/2,1,"2",[[515,1]],514, "Alt(516)", ["A",516, 1], "Alt"],
[2, Factorial(516),0,"2",[[515, 1]],516, "Sym(516)", ["A",516, 1], "Sym"]];
PRIMGRP[517]:=
[[1, Factorial(517)/2,1,"2",[[516,1]],515, "Alt(517)", ["A",517, 1], "Alt"],
[2, Factorial(517),0,"2",[[516, 1]],517, "Sym(517)", ["A",517, 1], "Sym"]];
PRIMGRP[518]:=
[[1, Factorial(518)/2,1,"2",[[517,1]],516, "Alt(518)", ["A",518, 1], "Alt"],
[2, Factorial(518),0,"2",[[517, 1]],518, "Sym(518)", ["A",518, 1], "Sym"]];
PRIMGRP[519]:=
[[1, Factorial(519)/2,1,"2",[[518,1]],517, "Alt(519)", ["A",519, 1], "Alt"],
[2, Factorial(519),0,"2",[[518, 1]],519, "Sym(519)", ["A",519, 1], "Sym"]];
PRIMGRP[520]:=
[[ 1, 262080, 1, "2", [ [ 56, 3 ], [ 72, 4 ], [ 63, 1 ] ], 1, "PSL(2, 2^6)",
[ "L", [ 2, 64 ], 1 ],
[ ( 1,496)( 2,242)( 3,188)( 4,176)( 5,345)( 6,312)( 7,474)( 8,103)
( 9, 63)( 10,473)( 11,376)( 12,520)( 13,154)( 14,454)( 15, 30)
( 16,478)( 17,367)( 18,350)( 19,415)( 20,216)( 21, 61)( 22,396)
( 23,206)( 24,184)( 25,293)( 26,305)( 27,323)( 28,197)( 29,501)
( 31,390)( 32,490)( 33,296)( 34,430)( 35,373)( 36, 57)( 37,262)
( 38,514)( 39,124)( 40, 96)( 41,222)( 42,172)( 43,278)( 44,127)
( 45,232)( 47,105)( 48,325)( 50, 82)( 51,213)( 52,393)( 53,487)
( 54,135)( 55,217)( 56,450)( 58,359)( 59,139)( 60,252)( 62,361)
( 64,269)( 65,321)( 66,504)( 67,387)( 68,307)( 69,515)( 70,193)
( 71,137)( 72,510)( 73,279)( 74,198)( 75,417)( 76,386)( 77,150)
( 78,134)( 79,406)( 80,476)( 81,294)( 83,203)( 84,236)( 85, 87)
( 86,395)( 88,493)( 89,424)( 90,426)( 91,447)( 92,223)( 93,267)
( 94,497)( 95,477)( 97,389)( 98,431)( 99,398)(100,461)(101,469)
(102,251)(104,355)(106,318)(107,142)(108,192)(109,277)(110,290)
(111,340)(112,255)(113,503)(114,319)(115,153)(116,209)(117,505)
(118,221)(119,144)(120,254)(121,171)(122,486)(123,194)(125,265)
(126,427)(129,371)(130,458)(131,204)(132,337)(133,136)(138,364)
(140,292)(143,475)(145,230)(146,420)(147,310)(148,322)(149,374)
(151,434)(152,169)(155,439)(156,499)(157,237)(158,211)(159,507)
(160,177)(161,335)(162,243)(163,377)(164,472)(165,264)(166,423)
(167,438)(168,508)(170,468)(173,463)(174,513)(175,428)(178,492)
(179,227)(180,259)(181,400)(183,268)(185,394)(186,250)(187,432)
(189,240)(190,409)(191,297)(195,368)(196,288)(199,436)(200,403)
(201,304)(202,280)(205,517)(207,256)(208,363)(212,437)(214,483)
(215,229)(218,421)(219,443)(220,445)(224,372)(225,317)(226,416)
(228,460)(231,453)(233,311)(234,342)(235,352)(238,414)(239,291)
(241,506)(244,328)(245,498)(247,446)(248,399)(249,465)(253,459)
(257,369)(258,315)(260,313)(261,467)(263,388)(266,314)(270,302)
(271,382)(272,324)(273,405)(274,457)(275,353)(276,308)(281,484)
(282,331)(283,330)(284,519)(285,449)(286,402)(287,343)(289,358)
(295,455)(298,479)(299,351)(300,448)(301,356)(303,511)(306,425)
(309,348)(316,365)(320,516)(326,357)(327,341)(329,451)(332,509)
(333,392)(334,480)(336,370)(338,375)(339,379)(344,397)(346,347)
(349,401)(354,413)(360,452)(366,385)(378,410)(380,384)(381,481)
(383,441)(391,456)(404,422)(407,433)(408,435)(411,471)(412,485)
(418,470)(419,502)(429,500)(440,495)(442,482)(444,518)(462,488)
(464,512)(466,489)(491,494), ( 1,186, 54)( 2,353,417)( 3,456, 34)
( 4, 83,285)( 5, 55,428)( 6,314,141)( 7, 41, 56)( 8,207,235)
( 9,198, 43)( 10,264,471)( 11, 62,220)( 12,372,252)( 13,190,286)
( 14,271, 91)( 15,123,282)( 16,115, 35)( 17, 48,452)( 18,212,351)
( 19,505,474)( 20, 78,243)( 21,434,279)( 22,330,451)( 23,111, 64)
( 24,278, 85)( 25,125,261)( 26,420,504)( 27,344,135)( 28,429, 36)
( 29, 39,120)( 30,418,132)( 31,299,355)( 32,316,381)( 33,348,313)
( 37, 74,223)( 38,459,263)( 40,413,328)( 42,419,374)( 44,466,377)
( 45,221,350)( 46,272,254)( 47,407,517)( 49,433,304)( 50,370,193)
( 51,357, 72)( 52,318,461)( 53,493,445)( 57,258, 96)( 58,483,195)
( 59,128,289)( 60,319,347)( 61,245,293)( 63,104, 65)( 66,292,202)
( 67,113,200)( 68,373, 70)( 69,294,133)( 71,302,482)( 73, 88,157)
( 75, 98, 86)( 76,178,199)( 77, 95, 81)( 79,448,410)( 80,497,480)
( 82,457,376)( 84,479,315)( 87,396,362)( 89,345,441)( 90,436,166)
( 92,300,447)( 93,194,219)( 94,485,138)( 97,124,148)( 99,346,201)
(100,179,340)(101,165,169)(102,273,242)(103,134,401)(105,203,324)
(106,139,208)(107,163,226)(108,164,277)(109,321,338)(110,331,424)
(112,228,512)(114,332,478)(116,427,248)(117,227,352)(118,439,269)
(119,518,405)(121,463,284)(122,150,519)(126,402,297)(129,171,444)
(130,250,358)(131,339,333)(136,431,206)(137,225,237)(140,233,341)
(142,196,508)(143,161,231)(144,395,488)(145,239,477)(146,183,408)
(147,510,185)(149,283,500)(151,158,394)(152,322,255)(153,460,473)
(154,303,489)(155,325,236)(156,296,265)(159,360,385)(160,249,244)
(162,454,421)(167,229,275)(168,437,335)(170,241,378)(172,259,498)
(173,509,262)(174,214,320)(175,520,380)(176,189,375)(177,216,513)
(180,399,230)(181,366,416)(182,253,307)(184,291,363)(187,515,191)
(188,256,506)(192,217,453)(197,469,467)(204,371,266)(205,494,354)
(209,435,311)(210,238,393)(211,425,308)(213,442,487)(215,270,397)
(218,329,472)(222,414,384)(232,257,391)(234,516,409)(240,246,406)
(247,475,388)(251,305,386)(260,349,462)(267,438,501)(268,387,514)
(274,502,403)(276,412,468)(280,404,342)(281,415,422)(287,492,359)
(288,449,334)(290,503,295)(298,484,382)(301,464,496)(306,411,379)
(309,491,400)(310,383,312)(317,336,495)(323,423,507)(327,365,368)
(337,455,430)(343,481,392)(361,369,364)(367,426,446)(389,398,465)
(390,486,499)(450,470,458)(476,511,490) ] ],
[ 2, 524160, 0, "2", [ [ 56, 3 ], [ 72, 4 ], [ 63, 1 ] ], 1, "PSL(2, 2^6).2",
[ "L", [ 2, 64 ], 1 ],
[ ( 1,380,355,478,287,486,412,109,133,451, 63,325,319, 73,480,399,194,184,
322,123,183,149,331,305, 99, 6,516,160, 52,508, 61,152,489,333,164,
263,204, 41,155,237,258,439, 51,431,309,138,226,105,419,462,281,102,
23,369,200,104,347,236, 7,225,235,379, 39,476,165)( 2, 8,324,252,
188, 59, 9,169,477,479,328,385,222,437,338, 33,108,496,454,343,394,
57,499,312,366,289,211,400, 22,158,212,396,147,230,466,357, 28,288,
257,341, 84, 12,422, 97,181,268,145, 31,113, 82,320, 47, 10,207, 37,
110, 4,275, 35,249,215, 67,340,295,153)( 3,117,488,430,504,491,376,
467,415,490, 40,232,304,244,242,282,231,367,314,261,248,441,238,420,
455,201,126,465,293,511,424,213,159,233,273,101,388,353,390,427,125,
458,381, 62,507, 13,344,370,463,136,299,256,285,100,255,471, 16,514,
203,468,403, 78, 91,509,250)( 5,323,459,142, 21, 15,358,284,296, 96,
317, 25, 90,428, 27,329,217,438, 14,342,208,337,327,330,205,502,423,
245,119,146, 80,130,404, 71,310,218,177, 69,316,166,306,121,300,239,
103,513,356, 65, 19,406,137,224,189,444,372,519,274,361,106,227,118,
176,501,308,187)( 11,407,179,494, 60,405, 54,398,417,298,474,326,278,
402,512, 44, 79, 88,518,413,421, 87,140,279,266,311,348,483,446, 30,
443,240, 76,457,143,260,434, 56,156,264,503,456,392,410, 17,262,397,
301, 77,154,505,408,193,151, 20,196,246,363,182,185, 74,286,254,209,
351)( 18,364,277, 95,498,265, 89, 86, 32,134,395,297, 38,219, 46,470,
124,432, 43,144,452,339,497,426,450,171,352, 53,210,354,170,307,180,
411,481,259,383, 45,175, 50,484,114,495,271,345,174,436,429,172, 81,
253,378,168,139,473,393,135,365,163,199,243, 42,221,425,241)
( 24,228, 98,389,382,157, 29,374,487,280,386,482,223,460,229,192,128,
517,132,107,302,292,283,469, 48,272,247,461, 68,191,332, 85,290,416,
453,167,214,270,515,234, 55, 49,520,111,371,178,161,493,195,418,131,
291,148,506,375,334,129,315,401,414,216,387,198,303, 93)
( 26,112,197,346,485,391, 66,377,435, 72,127,362, 92, 94,115,464,276,
318,350,500,206,510, 83,359,122,162,440,321,448,313,373,360,492,141,
475, 58,116,294,336, 75,251,384, 36,447,472,220,202, 64,190,186,442,
433,349,173,120, 70, 34,267,150,335,449,409,445,368,269),
( 1,155,356, 70,423,455,487, 25, 85,434,277,182, 22,440,514,429,227,123
)( 2,169,190,256,478, 33,516,286,513,499,298,103,284,129,405,379,
291,496)( 3,371,357,511,436, 27,290,318,334,400,208,102, 5,504,476,
468,189,238)( 4,495,145,438,355,351,374, 38,459,292, 12,170,185,183,
113,433,376,142)( 6,413,309,218,364,233,122,449,254)
( 7,304,137, 65,250, 15,437, 10,407,199,352,111,446,489,285,470,204,
375)( 8, 73, 78,336,340, 68,118,202,419,240,451,248,200,447,399,211,
224,443)( 9,363, 47,506,361, 81,488,344,454,226,428,381,384,140,234,
264,401,175)( 11,460, 16,464, 50,484,247,482,467)( 13,473,280,385,
411,121,152,187,302)( 14,150,472,110,508,330, 45,477,260,267,258,338,
147,219,408,259,373, 82)( 17,128,479,138,105,402,274,231,104,257, 29,
365, 51,276,416, 99,215,367)( 18,194,432, 37, 86,326,349,252,329,332,
69,149,126,315,494,133,348,519)( 19, 87,271,181, 93,417,265, 24,308,
283,205,207,261,492,390,462,327,424)( 20,485,320,167,203, 92,176,281,
486,311,160,288,491,377,483,353,497,266)( 21,130,370,368,445,114,221,
307,507,172,313, 30,366,193, 64,213,321, 96)( 23,358,387,463, 74,490,
98,306,325)( 26,198, 52,262, 76, 53,159,393,136,312, 34,255,132,168,
217,106,380, 90)( 28,191,141,314,404,186,293,112,107,427,101,453,509,
216,100,162,319,389)( 31,173, 44, 40,501,300,369,359,120,346,296,341,
243,510, 46,244,192,378)( 32,457, 58,282,131,184,299,232,270,241,134,
386,117,209,196,395,148, 79)( 35,458,154,392,278,322,418,493,360,125,
158,237, 56,475,403,135, 55,289)( 36,229, 97,410,214, 54,354, 59,249,
469,171, 91,331,518, 62,466,502,500)( 39,201, 80,279,178,263,335,442,
415)( 41,273,235,220,197,425,295,450,223,253,505,391,166,420,397,362,
323, 75)( 42, 60,430,396, 84,305,163,421,339,297,474,164,228, 66,310,
119,444,206)( 43, 89,520,239,383,269,246,431,146)( 48,174, 72, 95,
71,212,268,517,471,236,372,153,222,412,275,161,157,230)
( 49,225,303, 83,301,272,343,498,143,422,465, 61,480,452,350,151,328,
382)( 57,109,345,251,515,456,448,116,287, 77,414,156,179,124,210,342,
333,441)( 63,188,406,144,503,461,108,394,195,435,481,337,139,242,316,
439,409,426)( 67,317)( 88,347,398,388,115,245,512,180,127)( 94,324)
(165,177) ] ],
[ 3, 786240, 0, "2", [ [ 168, 1 ], [ 72, 1 ], [ 216, 1 ], [ 63, 1 ] ], 1,
"PSL(2, 2^6).3", [ "L", [ 2, 64 ], 1 ],
[ ( 1, 43,348,349,165, 31,179,407,164)( 2, 7, 74,256,463,273, 80,101,175)
( 3, 56,475)( 4,302,404,313,327,423,296,494,504)( 5,354, 67,181,
381,511,257,512,221)( 6,163,487,478,350, 13,279,288,409)
( 8,255,284,128,121,167,253,482,162)( 9, 64,415, 91,401,144,115,362,
402)( 10,203,369,120,446,258,271,264,142)( 11,486,515, 46,495,400,
30,325, 73)( 12,363,226,330,489,352,300, 93,194)( 14, 40,344,372,
137,200,155,207,414)( 15,318,183,246,184,303,223,398, 53)
( 16,457,336,321,320,214,244,513,153)( 17,268, 69,240,433,386,505,134,
151)( 18, 55,145,375, 94, 38, 47,235,460)( 19, 86, 60,351,449,176,
514, 42,225)( 20,458,355,451,293,492, 62, 99,440)( 21,141,496,405,
483,218,305,499,201)( 22, 36,157, 97,248,518,130,509,118)
( 23,410, 50,384,443,187, 41,266, 26)( 24,471,215,124,174,301,307,122,
116)( 25,278,340, 65,190, 84,309,502,123)( 27,308, 39,206,488,484,
442,154,107)( 28,479, 85,382,498,230,393,420,259)( 29,217, 72,205,
35,243,238,219, 89)( 32,366,408,227,406,480,346,473,236)
( 33,192,377,373, 98,234,388,364,470)( 34,516,390,520,444,312,331,104,
249)( 37,304,139,310,177,298,341,269,262)( 44,399,334,182,447,317,
241,294,368)( 45,170,439, 92,491,245,376,267,316)( 48,453,493, 83,
418,106,150,105,472)( 49,517,358,148,383,199,332,378,112)
( 51,158,422,508,329,394,501,117,476)( 52,413,283,424,437,285,469,356,
428)( 54,306,503,239,510,343,198,254,468)( 57,430,474,265,286,438,
370,172,261)( 58,152,102)( 59,452, 63,275,113,156,191,159,272)
( 61,140, 95,138,193, 79,448,197,185)( 66,441,280,519,220,435,461,497,
213)( 68, 78,166,277,126, 71,396,237,467)( 70,133,210,242,421,485,
385,233,323)( 75,450,361,324,464,251,125,212,211)( 76,314,462,328,
260,411,389,397,326)( 77,222,315,419,506,434,357,289,109)
( 81,339,110,417,290,371,322,335,287)( 82,132,276,291,281,387,180, 88,
274)( 87,108,416,374,432,195,119,228,263)( 90,143,338,347,367,231,
160,295,359)( 96,481,135,292,333,395,173,209,149)(100,202,455,425,
403,216,477,252,189)(103,391,353,426,146,270,136,250,129)
(111,282,297,445,431,379,168,299,365)(114,196,392,204,342,229,380,188,
169)(127,161,208,131,360,147,436,454,456)(171,500,466,319,186,429,
412,224,507)(178,459,337,427,311,465,247,490,345),
( 1,504, 66,490,176,281)( 2,150,317,319,361,493)( 3,129,144,153, 35,
68)( 4,225,168, 13,506,389)( 5,360,387,425, 30,127)
( 6, 67,155,241,462,364)( 7,170,240, 50, 74, 69)( 8,507,103,453,
465,172)( 9,280,179,386, 29,365)( 10,440,276,311,222,275)
( 11,116,384,213,372,309)( 12,205,208,143,223,418)( 14,157,147,405,
252,193)( 15,265, 65,106, 34,202)( 16, 86,182,220,478,124)
( 17,190,336,246,431, 24)( 18,518,353,342, 55,195)( 19, 23,238,256,
31,410)( 20,152,503, 47,370,136)( 21,117,371,192,335,508)
( 22,267,113,378,114, 62)( 25,118,174,211,278,305)( 26,452,495,322,
98,331)( 27,445,261,481,216,497)( 28,219, 85,411,289,160)
( 32,446,421,135,479, 88)( 33,492, 73,430,188,307)( 36,467, 87,325,
520,247)( 37,293,298,159,232,254)( 38, 80)( 39,406,189,138,456, 70)
( 40,141,367, 59,397,248)( 41,339,101,483,134,390)( 42,463, 52,373,
107,399)( 43,230,217,315,243,480)( 44, 72,460,449,212,314)
( 45, 54,161,171,137,306)( 46,429,277,510,204,362)( 48,126,231,459,
477,146)( 49,350,379,269,253,344)( 51,407,404,264,158,441)
( 53,377,123,416,184,512)( 56,337, 83,515, 64, 82)( 57,424,428)
( 58,284,391,111,140,244)( 60,145,469,102,285, 79)( 61,500,499,415,
235,466)( 63,279,149,154,239,131)( 71,366,321,357,251,180)
( 75,221,473,396, 78,408)( 76,451,290,167,338,178)( 77,242,282,423,
383,109)( 81, 91,260,468,417,292)( 89,496,472,324,475,375)
( 90,151,200,273,455,125)( 92,340,458,519,471,395)( 93,191,226,516,
128,333)( 94,346,447,132,250,381)( 95,270,162,121,300,448)
( 96,436,312,491,502,183)( 97,398,227,316,464,301)( 99,120,199,348,
255,401)(100,249,382,432,484,210)(104,130,201)(105,181,224,119,115,
166)(108,498,169,308,237,420)(110,299,156,291,218,173)
(112,457,258,330,434,482)(122,392,283,476,514,234)(133,266,352,245,
318,414)(139,511,400,486,207,341)(142,505,402,271,209,376)
(148,262,439,334,203,257)(163,359,351,347,206,328)(164,332)
(165,288,349,194,435,214)(175,419,443,393,470,323)(177,437,354,286,
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(196,380,427,494,313,329)(197,374,363,501,485,296)(215,268,438,461,
356,369)(228,513,388,433,422,450)(229,294,272,310,345,409)
(259,368,403,320,442,426)(274,303,297,444,327,385)(355,489,358,487,
517,454)(394,413) ] ],
[ 4, 1572480, 0, "2", [ [ 168, 1 ], [ 72, 1 ], [ 216, 1 ], [ 63, 1 ] ], 1,
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[ ( 1,328,402,337,365,454,410,324,439, 10, 39,171,474,214,374,102,501,228)
( 2,395,173, 41,215,286,456,387, 6, 45,340,409,345, 19,437,497,149,
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205, 82,326,350)( 8,101,380,121,382,242, 14,248,386,119,262,414,469,
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( 66,494,253,131,279,462,298,209,438,431,451,435,285,270,239,441,246,
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443,114,516,307, 93,199,263,155,254,330,133,517,331,351)
(106,515,502,396,153,496,448,169,493),
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( 6,220, 96,231, 66, 44)( 7,299, 52,271,423,418)( 8,466,351,198,
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( 15,489,458)( 16,370,455,229, 37,451)( 17,213,254,278,411, 18)
( 19,494,479,187, 32,253)( 20,464,194,144,116,162)( 21,178,108,292,
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(150,388,238)(164,452,270)(169,225,402,403,352,428)(180,244,209)
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(210,340,410,291,378,310)(226,381,288,322,237,355)(240,397,404)
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( 5,214,180,131,151,262, 50, 49)( 6,408,227,263,144,141, 79,306)
( 7, 75, 81,291,138,215, 83, 77)( 8,424, 73,319, 52, 18,471,489)
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(126,481,321,358,142,456,458,433)(129,146,445,397,478,382,487,216)
(152,439)(161,250,377,502,440,286,270,455)(162,186,444,242,330,261,
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383,240)(176,325,503,276,399,206,420,192)(190,191,278,348,421,429,
211,378)(213,329,466,324,220,386,272,323)(289,322,412,331)
(305,364,360,361,316,501,488,326),
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222,198, 76)( 2,285,354,491, 20,495,353,270, 41,505, 77,510, 5,137,
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( 56,216,507,483,425,125,493,351, 97,213,118,275,435,160,423,411,106,
232, 63,335) ] ],
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[ ( 1,306,166,292,475,297,342,427,409,298)( 2,464,478,312,457)
( 3,346,221,267,376,105,259, 19,405,249)( 4, 52,271,396,497,169,391,
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( 60, 95,199,131,413,408,422,387,476,353)( 61, 89,325,161,219,123,251,
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( 84,468,234,330,147,377,224,434,291,140)( 98,428,360,516,280,202,368,
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(110,390,192,440,146,112,126,410,193,163)(127,397,485,513,247,369,329,
313,165,341)(128,265,499,152,450,272,401,374,489,170)
(130,188,495,416,132,222,294,402,311,190)(171,194,467,463,384,258,281,
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( 1, 10,133,315,203,226, 2,322)( 3, 45,162,144, 5, 33, 29,389)
( 4,243,175,252,393,460,247, 67)( 6, 39, 86,130,125,508,187,272)
( 7,519,178,222,253,228,402,485)( 8,453,190,513, 14,193,101,339)
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( 12,400,131,415,273,114,413,113)( 13, 35,320,367,217,364, 56,294)
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( 30,355,134,208,176,514,215,147)( 31, 90,433,464,408, 68,233,448)
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(246,454,434,283,520,269,278,379) ] ],
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( 3,254,393,264,364,204)( 4,501,214,461, 42,471,489,478, 44,446,227,
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( 20,171, 52,140)( 21,236, 96,206,131,286, 65,146,209, 48, 94, 92)
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( 33,302,230,243,125,272, 71,376, 61, 68,233,265)( 37,415,385,213)
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262,452,266, 62,325,464, 86)( 55,309,319,451,283,108,382,479,324,439,
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( 58,398,510,232,234, 63,495,368,347,420,449,252)( 60,332,475,276,144,
419,516,235, 85,352,387,105)( 66,399,117,366,143,326,404,447, 87,121,
383,396)( 69,342,373,476,216,322, 75,412,126,112,360,423)
( 70,173,271,149)( 78,436,218,163,202,103, 97,197,194,440,330, 88)
( 98,211)( 99,128,130,177)(106,514,456,316,400,392,453,221,201,377,
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(109,496,269,296,293,185,181,300,321,421,241,245)(118,405,504,193,242,
339,466,246,371,503,437,299)(133,244,215,395)(142,155,203,178)
(166,226)(192,481,320,500,445,441,323,294,225,484,462,507)(222,334)
(223,450,337,417)(224,486,409,457)(231,493,355,513)(239,520,434,472,
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( 1,418,266,465,211,335,199, 54,118,267,325,129,185)( 2, 57,170,268,
28,101,508,499, 19, 24,384,334,429,200, 6,300,281,288, 23,430,397,
21,154,490,111,424)( 3,390, 25,180,359,444,362,328, 87,515,303,440,
344,137,320, 76,361,448,514,495,162,304,457, 62,467,352)
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84,263,205,500,443, 71,329,386,151,291,147,119, 17, 70,306,259,470,
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433,327,492, 60,458,389,113,127,247)( 9,363,155,279, 39,400, 56,417,
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307,520,426,229,410,369,434,510, 66,194)( 11,265,387,191,427,273, 13,
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75,409,280,193, 49,238,220,103,284, 30,462,452,258,380,123,144, 58,
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142,120,365,407,343,226,493,313,249,217)( 32,420,441,373, 92,245, 44,
435,378,163,271,289, 97, 65,104,255,382,168, 45, 37,342,471, 74, 53,
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350,235,379,519,172,242,401,298,474,296,130)( 34,354,112,251,272,472,
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210,439, 93,353,206,189,290,477)(100,338,110,208,270,377,341,322,122,
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(249,447,443,464,377,487)(326,393,401)(333,486,370,438,412,344) ] ],
[ 3, 378000, 0, "2", [ [ 144, 1 ], [ 20, 1 ], [ 120, 3 ] ], 1, "PGU(3, 5)",
[ "2A", [ 2, 5 ], 1 ],
[ ( 1,112,490, 20)( 2,220, 3,304)( 4, 70,323,202)( 5, 47, 60,139)
( 6,260,117,291)( 7,524,221, 12)( 8,298,392,191)( 9,305,144,228)
( 10,101,168,412)( 11, 90,374,182)( 13, 82,523, 81)( 14,485,365,375)
( 15,226,428,243)( 16,114,418,196)( 17,106,312,427)( 18,153,388,214)
( 19,477,292,213)( 21,199)( 22,508,206,189)( 23, 30,492,415)
( 24,102,511,359)( 25,249,318,420)( 26,458,135, 72)( 27, 66,126, 69)
( 28, 31,316,337)( 29,229)( 32,300,381, 99)( 33, 91,329,131)
( 34,407,239,378)( 35,175,501,130)( 36,285,413, 87)( 37,183,307,224)
( 38,391,454,216)( 39,252,235,448)( 40,342,142, 71)( 41, 55, 61,225)
( 42,233,186,383)( 43,181,394,119)( 44,360,503,118)( 45,507,486,133)
( 46,156,395,161)( 48,219,438,408)( 49,493,165,273)( 50,205,150,246)
( 51,287,122,409)( 52,155, 77,519)( 53,410,483,349)( 54,263,313,315)
( 56,157,303,314)( 57,451,145,476)( 58,334,497,143)( 59, 75, 76,406)
( 62,270,364,267)( 63,265,121,379)( 64,467,479,103)( 65,512,128,499)
( 67,187,159,140)( 68,355,170,124)( 73,306,321,502)( 74, 85,517,200)
( 78,242,506,109)( 79,345,132,373)( 80,328,297,496)( 83,151,179,471)
( 84,258,367,167)( 86, 96,433,227)( 88,387,279,347)( 89,261,344,166)
( 92,277,340,105)( 93,319,403,389)( 94,325,522,113)( 95,177)( 97,310)
( 98,152,294,301)(100,489,293,272)(104,370,444,146)(107,417,495,251)
(108,362,447,515)(110,480,197,134)(111,138,478,491)(115,125,266,338)
(116,430,513,222)(120,320,466,435)(123,330,509,380)(127,203,212,368)
(129,286,396,421)(136,332,158,356)(137,445,162,464)(141,160,400,390)
(147,283,504,230)(148,441,271,470)(149,488,308,208)(154,290,232,443)
(163,463,358,377)(164,469,457,274)(169,437,482,282)(171,521,369,371)
(172,201,257,250)(173,278,376,241)(174,461,385,481)(176,363,353,453)
(178,335,296,484)(180,452,386,416)(184,192,211,223)(185,487,366,516)
(188,423,449,422)(190,341,343,237)(193,431,288,331)(194,518,361,350)
(195,280,275,247)(198,284,475,459)(204,472,327,256)(207,352,384,474)
(209,339)(210,302)(215,295,514,425)(217,346,245,240)(218,525)
(231,460,434,317)(234,289,510,382)(236,398,351,253)(238,348,262,462)
(244,468)(248,336,500,436)(254,494,399,465)(255,411,520,372)
(259,432,333,397)(264,276,498,269)(268,424,299,393)(281,455,446,354)
(309,450)(311,414,405,442)(322,404)(326,505,401,419)(357,429,440,426)
(402,439,473,456), ( 1,214,437,220,287, 36)( 2,334,498,377,102,479)
( 3,522,230,421,438,184)( 4,322,401,115,478,410)( 5,409,365,393,
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( 8,312,374,231,326,246)( 9,103,205,512, 72, 11)( 10,194,142,518,
180, 97)( 12,259,116, 29, 28,352)( 13,250,366,104,474,141)
( 14,403,356,315,135,185)( 15,434, 42,513,368,411)( 16,379,264,167,
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( 19, 81,200, 77,463,282)( 20,240,145,338,367, 48)( 21,222,399,267,
383,199)( 22,255,226, 83,441,117)( 23, 49,125,261, 41,435)
( 24,159,120,285, 69,162)( 26,490,436,491, 51,134)( 27,138, 33,466,
280, 37)( 31,468,186,161, 68, 47)( 32,149,196,388,140,188)( 34,389)
( 38,325,511,340,295,502)( 39,245, 96,363, 78,229)( 40,450)
( 43,486,320,297,164,483)( 44,244,232, 79, 65,133)( 45,100,476)
( 46,254,236,342, 95,283)( 50,166, 53,459,492,112)( 52,318,136,424,
494,405)( 54,456,464,400,169, 92)( 55,323,203,462,341, 63)
( 56,213,445,228, 80,515)( 58,344,402,380,171,354)( 59,362,524,137,
454,177)( 60,183,258,292,168,444)( 61,128,423, 88,210,391)
( 62,251,175,174,425,311)( 64,139,370,272,172,216)( 66,384,337,398,
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( 74,143,439,321,510,278)( 75,218, 82,304,170,286)( 76,461,331,126,
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( 87,500,243,299,217,499)( 90,129,288,290,350,248)( 91,413,433,507,
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( 98,333,351,154,263,106)( 99,458,307,480,195,488)(101,209,202,482,
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(113,469,197,207,146,386)(114,163,357,430,508,516)(118,279,324,387,
252,404)(119,487,346)(121,373,353,392,330,455)(122,152,249,406,253,
189)(123,385,262,187,503,460)(130,271,284,521,212,360)
(131,361,242,294,447,238)(132,381,382,364,215,237)(150,523,302,347,
418,227)(155,432,305,509,296,190)(156,193,343,276,506,327)
(157,504,310)(158,448,317,371,165,260)(176,265)(178,281,211,395,514,
427)(179,349,266,206,376,289)(191,345)(198,412,201,208,241,428)
(219,277,319,358,328,369)(224,396)(234,300,257,452,273,372)
(274,313,298,422,332,497)(329,475)(335,420,496,415,408,481)(336,493)
(339,416,451,407,359,419)(390,467)(429,457,505) ] ],
[ 4, 756000, 0, "2", [ [ 144, 1 ], [ 20, 1 ], [ 120, 3 ] ], 1,
"PGammaU(3, 5)", [ "2A", [ 2, 5 ], 1 ],
[ ( 1,376,458,271,235,249)( 2,384,192,306,326,509)( 3,172,297,123,492,439
)( 4, 27,236)( 5,414, 67,283,209,277)( 6,421,430,385,290, 32)
( 7,425,278,489,111,496)( 8,276,438,491, 53,345)( 9,357,409,391,
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( 12,133,443, 83, 92,470)( 13,247,332,422, 95,482)( 14,511,389,100,
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( 17,107, 81,415,296, 28)( 18,114,132, 35,460,462)( 19,103,486,336,
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( 22,316,338)( 23,426,207,401,463,168)( 24,223, 80,122,308,257)
( 25,201,322,113,126, 66)( 26,130,420, 33, 37, 91)( 29,174,327,170,
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( 34,417,464)( 36,494,369,134, 79,348)( 38, 42,455,453,104,433)
( 39, 87,444,320,310, 76)( 40,392, 45,410,419,397)( 41,313,404,131,
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( 46,423, 78,325,514,520)( 48,184,465,138,203,294)( 49,239,399,298,
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( 52,524,164,229, 82,428)( 55,341,346,447,246,339)( 59,190,266,258,
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( 64,407,398,352,304, 97)( 68,178,253,265,305,238)( 69,259,303,472,
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( 73,148,135)( 84,510,115,285,216,393)( 85, 93,503,484,244,260)
( 86,476,301,127,200,143)( 89,400,263,145,167,354)( 90,230,495,353,
488,121)( 94,211,432,481, 96,505)( 98,118,279,368,317,314)
( 99,337,501,362,102,189)(101,208,284,195,154,518)(105,441,262,516,
220,222)(108,251,215,318,261,194)(117,396,183,366,340,204)
(119,479,466,406,185,457)(124,274,323,485,331,270)(136,295,166,358,
395,146)(139,448,196,142,349,388)(141,434,187,291,454,245)
(144,512,363,180,152,435)(147,206,347,350,286,199)(150,383,342,210,
499,173)(153,171,522,292,300,515)(155,380,449)(158,288,469,254,177,
478)(160,370,372,356,213,328)(176,224,228,179,497,309)(182,275,378)
(186,329,525,281,451,424)(191,513,355,408,351,205)(198,468,226,330,
248,264)(202,500)(219,416,255,280,221,240)(225,411,256,371,250,272)
(233,315,343)(237,521,267,523,273,477)(241,302,382,445,452,431)
(252,471,508,483,269,359)(282,498,519)(289,375,333,493,394,506)
(373,427,413,480,374,436),
( 1,412,410,399, 46,311,387,393,302,230,163,210,513,139,189, 14,111,
453,341, 20,328)( 2,357,347,523,324, 26, 47,460,390, 43,413,509,363,
380, 78,366, 91,349,329, 85,186)( 3,309,160, 99,400,376,187,424, 80,
7, 30,153,228, 90,239,297,116,480,278,220,316)( 4,232, 36,194,291,
260,253,200,298, 16, 27,144,396, 76,446,450,276,466,303,388, 98)
( 5,127,510,224,204, 37,227,280,167, 40,223,472,184,370,203, 88,299,
417, 62,145,222)( 6,173,436,375,371,423,514,128, 57, 58,431,175,373,
251, 65,243,102,219,156,315,241)( 8, 56, 82, 34,172,235,272, 21,151,
199,265, 93,213,221,458,129,443,192,287,136,307)( 9, 44, 18, 12,389,
294,515, 53,262, 45,180,476,107,481,445,238,176, 92,126,448,378)
( 10,229,257, 96,142,477,244,190,482,409,135,240,369,308,462,208,438,
103, 13,158,326)( 11,130,504,233,211,285, 52,290,364,392, 49,517,183,
181,463,331,492,336,415,182,263)( 15,218,119,433,161,467,475, 68,520,
346,485,342,383,177,295,274,340,188,511,362,216)( 17,252,185,283,202,
292,212,205,368,201,114,358,506,319, 25,197,493,386,461,519, 67)
( 19,306,456,518,452,300, 97, 28,385,351,266, 73,250,353,421,470,365,
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101,379,442, 81,333,310,397, 72)( 23,118,215,434,405, 59,350,236,120,
508,426,226,360,374,209,247,286,512,314,258,339)( 24,117,449,334,524,
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( 29,419,268,486,179,503, 83,464,430,282,468, 60,191, 32,484,497,345,
271, 31,154,279)( 35,168,131, 95,408,487,459,411,242,521,525,330,343,
288,269,355,312,170,318,124,281)( 38,469,391,457,522,428,437,327,122,
516, 42,254,404,478,394,109,356,256,505,425,113)( 39,403,231, 64,255,
325,270,174,321,354,344,348, 61,264,502,416,267, 94,198,245,429)
( 48,335,367,100, 55,166, 63,275,148,171,115,305,125, 69,382,471,104,
152,402,214,439)( 50, 79,112,106, 77,496,165,420,490,143,150,217, 71,
323,361,338,473,398,418, 86,479)( 51,178,372,455,498,284,441,332,289,
422,488,406, 70, 84,322,195,196,320,149,359,444)( 54,146,447,207,352,
277,234,500,491,155,301,147,304,501,246,193,141,377, 66,273,465)
( 74,381,259,261,133,401,121,440,427,249,317,293,169,162,225,432,337,
87,384,499,474) ] ],
[ 5, 604800, 1, "2", [ [ 12, 1 ], [ 192, 2 ], [ 96, 1 ], [ 32, 1 ] ], 1,
"J_2", [ "Spor", "HJ = J(2) = F(5-)", 1 ],
[ ( 1,357,463)( 2,239,201)( 3,519, 76)( 4,316,125)( 5,321,394)
( 6,211,240)( 8, 20,251)( 9,403,323)( 10,187,363)( 12, 90,331)
( 13,224,177)( 14,119,426)( 15,415,146)( 16,474,496)( 17,169,277)
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(148,435,203)(150,411,494)(151,287,368)(152,207,350)(154,262,317)
(157,412,249)(158,381,179)(159,512,162)(160,270,347)(161,218,257)
(163,431,294)(166,231,222)(170,397,202)(174,188,511)(176,464,272)
(180,452,235)(181,274,354)(185,437,282)(186,436,266)(189,215,518)
(190,308,256)(191,501,434)(193,263,380)(196,289,351)(197,226,233)
(200,296,500)(208,254,499)(209,361,261)(210,446,279)(219,404,293)
(220,322,429)(221,480,364)(242,467,473)(245,488,393)(247,285,260)
(248,492,265)(252,409,258)(253,504,315)(264,374,280)(271,382,373)
(275,424,440)(276,390,342)(284,378,423)(295,405,333)(298,447,438)
(299,461,419)(303,521,386)(305,313,457)(306,486,418)(311,416,343)
(312,408,420)(319,406,327)(326,455,355)(329,392,422)(345,450,384)
(358,453,523)(359,510,487)(365,387,377)(370,388,493)(372,508,482)
(376,396,389)(391,471,502)(402,414,443)(427,525,513)(442,524,454),
( 1, 19, 54,399,266)( 2, 33,263,155,299)( 3, 10,291, 85,501)
( 4,289,402,383, 8)( 5,180,419,199,227)( 6,243,362,417,455)
( 7,450,363, 82,273)( 9, 13,101, 58,471)( 11,118,411,348,400)
( 12,507,429,112,192)( 14, 70,360, 75, 72)( 15,256,499,167,237)
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( 50,336,525,307,290)( 51,317,135,482,350)( 52,190, 96,208,302)
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(242,404,281,443,440)(264,373,438,523,505)(271,433,444,480,464)
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[ 6, 1209600, 0, "2", [ [ 12, 1 ], [ 192, 2 ], [ 96, 1 ], [ 32, 1 ] ], 1,
"J_2.2", [ "Spor", "HJ = J(2) = F(5-)", 1 ],
[ ( 1,419,487,321,154,476,416,200, 6, 88,106,368,248,201,432)
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( 3,437,463,456,370)( 4,152, 42,306,479,258,374, 61,138,356,422,227,
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( 19,105,110,434,178,516,408,213,501, 82,141,307,328,191,517)
( 23,234,405,291,454,272,451,166,204, 57, 24,301, 28, 67,506)
( 25,174, 75,508, 36,357, 45, 63, 53,379, 89, 92,279,175,309)
( 26,446,269,522,188,120,347,424,460,129,520,211,489,145,232)
( 29,346, 62,134,393,319,246, 87,311,280,226,402,462,212,392)
( 32,207, 90,241,329,485,409,216,251, 64,391,245,111,369, 98)
( 33,343,183,461,466,481,297,222,172,135,108,184,121, 37,140)
( 38,385,511,114,335,192,400,289,317,107, 80,100,104,288,505)
( 41,483,103,169,362,136,519,515,180,397,224, 76,381,215, 68)
( 43,404,430,196,236,123, 56,427,449,473,325,510,296, 86,242)
( 44,471,165,403,249,223, 79,225,358,457,243,486,268,355, 81)
( 47,146, 91,278, 55,513,101,299,286, 54,492,435, 73,518,334)
( 48,440, 83,367,131)( 50,514,147,394,396,256,390, 94,478, 71,115,415,
320,160, 72)( 51,459,149,327,336,153,125,265,303,433,163,488,293,365,
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( 59,382,376,210,176,421,142,470,239,477,315,497,407,447,162)
( 70,467,503,450,133)( 84,377,350,151,228,122,285,238,495,469,414,182,
316,498,507)( 96,290,119,494,480)(102,474,322,281,139,338,190,167,
363,273,250,130,444,177,330)(132,276,482,300,235,465,263,500,484,468,
287,194,219,144,237)(155,318,378,406,310,173,344,326,247,292,230,429,
353,266,364)(206,410,389,294,348),
( 1, 31,469,198,495,133,472,514, 21,260,394,491,379,324)
( 2,211,191, 73,471,148, 27,116, 44,490,214,139,395,113)
( 3,473,304,310,267, 69,437,327,298,108,353,374,424, 37)
( 4,479,510, 74,261,202,484,439,163, 93,100, 50,258,274)
( 5,285, 62,281, 28,346,489,209,520,383,396,486,351,373)
( 6,392, 45,361,249,172, 95,423,236,247,243,264,455,331)
( 7,438,215,259,458, 70,179,222,129,349,272,192,409,313)
( 8,170, 67,173,174,233,183, 57,405,177,210,470,156,245)
( 9,441,102,401,180,406,308,196,318,335,447,500,497, 80)
( 10,106,498,218,111,435,199,104,523, 43,365,157, 29,254)
( 11,147,430,506,465,488,168, 15,485,244,336,452,110,145)
( 12,118,477,411,321,483,499,217,421, 18,360,515,464,303)
( 13,153,461,229, 51,146,425,511,284,446,413,478,448, 60)
( 14,224,107,166,367,230,343,390,270,292, 40,112,273,402)
( 16,208,255,418,195,117,326,378,522, 42,341,251,266,178)
( 17,149,468,440,334,293,203,121, 79,299,362,328,143,372)
( 19,227, 77,232,444,123,442,124,278,212,171,481,194,175)
( 20,162,268,414, 46,325,391,280,306,239,363,462,234,359)
( 22,131,368,216,369,290,275,141,105,276,150,257,109,323)
( 23,366, 71, 49, 94,345,466,204, 41, 33,160,443,340, 26)
( 24, 75,154,322,436,252,420,518,297,140,205,263,427,516)
( 25,300,342,164, 39,389,127, 34,408,320,291, 56,283, 76)
( 30,305,385,122,403,307,151, 82,450,242, 81,352,144,125)
( 32,449,282,350,134,525,319,410,433,137,250,329,463,381)
( 35,445, 83,265,294,457, 66, 86,167,347,314,354,286, 38)
( 36,193,453,467,103, 58,309,241,312,101,248,289,519,332)
( 47, 55,487,159,393,397, 61, 68,426,189,200,235,513, 48)
( 52,333,135,382,377,317,407)( 53,138, 96,524, 64,338,231,169,240,337,
126,376,508,521)( 54,161,459,400,155,454,348,451,165,404,357, 65,237,
494)( 59,501,386,197,221,213,475,339,398,399,256,132,419,295)
( 63,460,185,502,114,246,429)( 72, 99,493, 97,517,370,476,152,130, 84,
279,316,358,507)( 78,364,375,496, 88,225,206, 87,482,474,371,182,287,
504)( 85,269,431,181,480,492,119,384,416,417,186,315,456,223)
( 89,330,301,296,355,238,428, 91,387,512,380,207,277, 98)
( 90,226,120,262,220,412,201)( 92,253,503,128,176,142,188,187,505,422,
219,388,311,344)(115,288,356,136,302,228,190)(158,434,432,271,415,
184,509) ] ],
[7, Factorial(525)/2,1,"2",[[524,1]],523, "Alt(525)", ["A",525, 1], "Alt"],
[8, Factorial(525),0,"2",[[524, 1]],525, "Sym(525)", ["A",525, 1], "Sym"]];
PRIMGRP[526]:=
[[1, Factorial(526)/2,1,"2",[[525,1]],524, "Alt(526)", ["A",526, 1], "Alt"],
[2, Factorial(526),0,"2",[[525, 1]],526, "Sym(526)", ["A",526, 1], "Sym"]];
PRIMGRP[527]:=
[[ 1, 23499295948800, 1, "2", [ [ 256, 1 ], [ 270, 1 ] ], 1, "O+(10, 2)",
[ "D", [ 5, 2 ], 1 ],
[ ( 4, 9)( 10, 17)( 12, 18)( 14, 19)( 16, 20)( 24, 49)( 25, 50)( 26, 51)
( 27, 52)( 28, 53)( 31, 54)( 33, 55)( 34, 56)( 35, 57)( 36, 58)
( 38, 59)( 41, 60)( 42, 61)( 43, 62)( 44, 63)( 45, 64)( 68,113)
( 70,114)( 71,115)( 72,116)( 73,117)( 75,118)( 81,119)( 82,120)
( 83,121)( 84,122)( 85,123)( 86,124)( 87,125)( 88,126)( 92,127)
( 95,128)( 96,129)( 97,130)( 98,131)(101,132)(102,133)(103,134)
(104,135)(107,136)(137,205)(138,206)(140,207)(141,208)(143,209)
(144,210)(145,211)(146,212)(147,213)(148,214)(149,215)(150,216)
(151,217)(152,218)(153,219)(154,220)(155,221)(156,222)(157,223)
(158,224)(159,225)(162,226)(163,227)(165,228)(166,229)(167,230)
(168,231)(170,232)(171,233)(173,234)(174,235)(175,236)(176,237)
(177,238)(178,239)(179,240)(180,241)(183,242)(186,243)(189,244)
(192,245)(193,246)(195,247)(196,248)(203,249)(204,250)(251,329)
(252,330)(253,331)(254,332)(255,333)(256,334)(257,335)(258,336)
(259,337)(260,338)(261,339)(266,340)(267,341)(268,342)(274,343)
(275,344)(276,345)(277,346)(278,347)(279,348)(280,349)(282,350)
(283,351)(285,352)(286,353)(287,354)(288,355)(289,356)(290,357)
(293,358)(294,359)(295,360)(296,361)(297,362)(299,363)(300,364)
(301,365)(303,366)(304,367)(305,368)(306,369)(307,370)(308,371)
(309,372)(311,373)(313,374)(314,375)(317,376)(318,377)(319,378)
(321,379)(323,380)(324,381)(325,382)(327,383)(384,449)(385,450)
(386,451)(393,452)(395,453)(397,454)(401,455)(402,456)(405,457)
(406,458)(407,459)(408,460)(409,461)(410,462)(411,463)(413,464)
(414,465)(415,466)(420,467)(421,468)(422,469)(427,470)(429,471)
(431,472)(433,473)(437,474)(438,475)(439,476)(440,477)(441,478)
(443,479)(444,480)(446,481)(448,482)(484,513)(485,514)(492,515)
(495,516)(496,517)(497,518)(498,519)(499,520)(507,521)(512,522)
(523,525)(524,526), ( 1, 2, 3, 4, 5, 6, 7, 8)( 9, 10, 11, 12,
13, 14, 15, 16)( 17, 21, 25, 29, 33, 37, 41, 45)( 18, 22, 26, 30, 34,
38, 42, 46)( 19, 23, 27, 31, 35, 39, 43, 47)( 20, 24, 28, 32, 36, 40,
44, 48)( 49, 65, 80, 64, 79, 90,100,106)( 50, 66, 81, 91,101,107, 61,
76)( 51, 67, 82, 92,102,108, 62, 77)( 52, 68, 83, 93,103,109, 63, 78)
( 53, 69, 84, 94,104,110, 60, 75)( 54, 59, 74, 89, 99,105,111,112)
( 55, 70, 85, 95, 57, 72, 87, 97)( 56, 71, 86, 96, 58, 73, 88, 98)
(113,137,161,173,185,191,197,201)(114,138,162,174,186,192,129,153)
(115,139,163,175)(116,140,131,155,171,183,189,195)(117,141,130,154)
(118,142,164,176,187,193,198,202)(119,143,165,177,133,157,125,149)
(120,144,166,178,134,158,126,150)(121,145,167,179,135,159,123,147)
(122,146,168,180,132,156,124,148)(127,151,169,181,188,194,199,203)
(128,152,170,182)(136,160,172,184,190,196,200,204)(205,251,234,274,
298,314,322,221)(206,252,286,304,317,239,277,225)(207,216,260,290,
308,319,324,223)(208,215,259,212,256,240,278,224)(209,253,287,305,
318,245,214,258)(210,254,288,306,222,265,295,311)(211,255,241,279,
300,242,280,301)(213,257,289,307,238,276,299,315)(217,261,291,309,
320,325,249,235)(218,262,292,236)(219,263,293,237,275,246,283,302)
(220,264,294,310,321,326,327,328)(226,266,296,312,244,282,232,272)
(227,267,233,273,297,313,243,281)(228,268,229,269,230,270,231,271)
(247,284,303,316,323,248,285,250)(329,384,351,404,336,391,348,401)
(330,385,433,440,378,427,363,416)(331,386,371,422,376,425,333,388)
(332,387,369,350,403,436,373,340)(334,389)(335,390,370,374,345,398,
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375,424)(342,395,434,441,445,446,447,448)(343,396,372,423,380,429,
344,397)(346,399,358,411,352,405,365,418)(349,402,356,409,354,407,
437,442)(353,406,381,430,366,419,382,431)(355,408,364,417,439,444,
367,420)(357,410,438,443,377,426,360,413)(361,414,362,415)(379,428)
(449,483,500,463,489,457,455,487)(450,462,477,479,470,493,504,464)
(451,484,469,492,503,507,510,512)(452,458,468,491,502,506,509,472)
(453,485,478,498,481,499,482,466)(454,486,501,505,508,511,471,494)
(456,488,461,480,459,467,490,460)(465,476,497,473,495,475,496,474)
(513,517,515,514,521,520,522,518)(516,523)(519,524)(526,527) ] ],
[ 2, 46998591897600, 0, "2", [ [ 256, 1 ], [ 270, 1 ] ], 1, "PSO+(10, 2)",
[ "D", [ 5, 2 ], 1 ],
[ ( 4, 9)( 10, 17)( 12, 18)( 14, 19)( 16, 20)( 24, 49)( 25, 50)( 26, 51)
( 27, 52)( 28, 53)( 31, 54)( 33, 55)( 34, 56)( 35, 57)( 36, 58)
( 38, 59)( 41, 60)( 42, 61)( 43, 62)( 44, 63)( 45, 64)( 68,113)
( 70,114)( 71,115)( 72,116)( 73,117)( 75,118)( 81,119)( 82,120)
( 83,121)( 84,122)( 85,123)( 86,124)( 87,125)( 88,126)( 92,127)
( 95,128)( 96,129)( 97,130)( 98,131)(101,132)(102,133)(103,134)
(104,135)(107,136)(137,205)(138,206)(140,207)(141,208)(143,209)
(144,210)(145,211)(146,212)(147,213)(148,214)(149,215)(150,216)
(151,217)(152,218)(153,219)(154,220)(155,221)(156,222)(157,223)
(158,224)(159,225)(162,226)(163,227)(165,228)(166,229)(167,230)
(168,231)(170,232)(171,233)(173,234)(174,235)(175,236)(176,237)
(177,238)(178,239)(179,240)(180,241)(183,242)(186,243)(189,244)
(192,245)(193,246)(195,247)(196,248)(203,249)(204,250)(251,329)
(252,330)(253,331)(254,332)(255,333)(256,334)(257,335)(258,336)
(259,337)(260,338)(261,339)(266,340)(267,341)(268,342)(274,343)
(275,344)(276,345)(277,346)(278,347)(279,348)(280,349)(282,350)
(283,351)(285,352)(286,353)(287,354)(288,355)(289,356)(290,357)
(293,358)(294,359)(295,360)(296,361)(297,362)(299,363)(300,364)
(301,365)(303,366)(304,367)(305,368)(306,369)(307,370)(308,371)
(309,372)(311,373)(313,374)(314,375)(317,376)(318,377)(319,378)
(321,379)(323,380)(324,381)(325,382)(327,383)(384,449)(385,450)
(386,451)(393,452)(395,453)(397,454)(401,455)(402,456)(405,457)
(406,458)(407,459)(408,460)(409,461)(410,462)(411,463)(413,464)
(414,465)(415,466)(420,467)(421,468)(422,469)(427,470)(429,471)
(431,472)(433,473)(437,474)(438,475)(439,476)(440,477)(441,478)
(443,479)(444,480)(446,481)(448,482)(484,513)(485,514)(492,515)
(495,516)(496,517)(497,518)(498,519)(499,520)(507,521)(512,522)
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13, 14, 15, 16)( 17, 21, 25, 29, 33, 37, 41, 45)( 18, 22, 26, 30, 34,
38, 42, 46)( 19, 23, 27, 31, 35, 39, 43, 47)( 20, 24, 28, 32, 36, 40,
44, 48)( 49, 65, 80, 64, 79, 90,100,106)( 50, 66, 81, 91,101,107, 61,
76)( 51, 67, 82, 92,102,108, 62, 77)( 52, 68, 83, 93,103,109, 63, 78)
( 53, 69, 84, 94,104,110, 60, 75)( 54, 59, 74, 89, 99,105,111,112)
( 55, 70, 85, 95, 57, 72, 87, 97)( 56, 71, 86, 96, 58, 73, 88, 98)
(113,137,161,173,185,191,197,201)(114,138,162,174,186,192,129,153)
(115,139,163,175)(116,140,131,155,171,183,189,195)(117,141,130,154)
(118,142,164,176,187,193,198,202)(119,143,165,177,133,157,125,149)
(120,144,166,178,134,158,126,150)(121,145,167,179,135,159,123,147)
(122,146,168,180,132,156,124,148)(127,151,169,181,188,194,199,203)
(128,152,170,182)(136,160,172,184,190,196,200,204)(205,251,234,274,
298,314,322,221)(206,252,286,304,317,239,277,225)(207,216,260,290,
308,319,324,223)(208,215,259,212,256,240,278,224)(209,253,287,305,
318,245,214,258)(210,254,288,306,222,265,295,311)(211,255,241,279,
300,242,280,301)(213,257,289,307,238,276,299,315)(217,261,291,309,
320,325,249,235)(218,262,292,236)(219,263,293,237,275,246,283,302)
(220,264,294,310,321,326,327,328)(226,266,296,312,244,282,232,272)
(227,267,233,273,297,313,243,281)(228,268,229,269,230,270,231,271)
(247,284,303,316,323,248,285,250)(329,384,351,404,336,391,348,401)
(330,385,433,440,378,427,363,416)(331,386,371,422,376,425,333,388)
(332,387,369,350,403,436,373,340)(334,389)(335,390,370,374,345,398,
435,341)(337,392,347,400,359,412,383,432)(338,393,368,421,339,394,
375,424)(342,395,434,441,445,446,447,448)(343,396,372,423,380,429,
344,397)(346,399,358,411,352,405,365,418)(349,402,356,409,354,407,
437,442)(353,406,381,430,366,419,382,431)(355,408,364,417,439,444,
367,420)(357,410,438,443,377,426,360,413)(361,414,362,415)(379,428)
(449,483,500,463,489,457,455,487)(450,462,477,479,470,493,504,464)
(451,484,469,492,503,507,510,512)(452,458,468,491,502,506,509,472)
(453,485,478,498,481,499,482,466)(454,486,501,505,508,511,471,494)
(456,488,461,480,459,467,490,460)(465,476,497,473,495,475,496,474)
(513,517,515,514,521,520,522,518)(516,523)(519,524)(526,527),
( 1, 5)( 10, 14)( 17, 19)( 21, 39)( 22, 40)( 23, 37)( 24, 38)( 26, 28)
( 33, 35)( 42, 44)( 49, 59)( 51, 53)( 55, 57)( 61, 63)( 65,111)
( 66, 94)( 67, 91)( 68, 92)( 69, 93)( 74, 90)( 75,107)( 76,108)
( 77,109)( 78,110)( 79,105)( 81, 83)( 86, 88)(102,104)(113,127)
(118,136)(119,121)(124,126)(133,135)(137,196)(138,183)(140,192)
(142,194)(147,177)(148,178)(149,179)(150,180)(151,193)(153,195)
(155,174)(160,191)(161,164)(166,168)(169,172)(185,188)(187,190)
(197,198)(199,200)(205,248)(206,242)(207,245)(213,238)(214,239)
(215,240)(216,241)(217,246)(219,247)(221,235)(229,231)(251,293)
(252,287)(253,308)(255,317)(258,301)(260,286)(261,303)(263,320)
(264,326)(267,313)(272,312)(274,309)(275,323)(277,324)(279,305)
(280,319)(283,314)(284,298)(285,325)(288,295)(329,358)(330,354)
(331,371)(333,376)(336,365)(338,353)(339,366)(341,374)(343,372)
(344,380)(346,381)(348,368)(349,378)(351,375)(352,382)(355,360)
(384,421)(387,436)(391,424)(392,432)(393,431)(394,430)(395,446)
(399,419)(400,412)(401,411)(404,418)(405,406)(408,443)(409,440)
(413,444)(416,442)(438,439)(449,468)(452,472)(453,481)(455,463)
(457,458)(460,479)(461,477)(464,480)(475,476)(483,506)(484,512)
(486,505)(487,500)(489,509)(490,504)(491,502)(492,507)(494,511)
(513,522)(515,521) ] ],
[3, Factorial(527)/2,1,"2",[[526,1]],525, "Alt(527)", ["A",527, 1], "Alt"],
[4, Factorial(527),0,"2",[[526, 1]],527, "Sym(527)", ["A",527, 1], "Sym"]];
PRIMGRP[528]:=
[[ 1, 32736, 1, "2", [ [ 62, 1 ], [ 31, 15 ] ], 1, "PSL(2, 2^5)",
[ "L", [ 2, 32 ], 1 ],
[ ( 1,465,509,448,368,283, 22,224,247,382,275,186,385,205,265,443,208, 8,
97,243,340, 92,126,464,203, 2,317, 15,472,151,435)( 3,447,327, 72,
31,487,272,288,425,458,263, 59, 17,357,504,405, 55,127,131,402, 86,
130,502,160,322,172,122, 71,202,159,326)( 4,150,286,290,274,248,173,
441,427, 65,168,306,452, 73,256,188,330,513,490,231, 28,463, 21,227,
324, 13,291,417, 53,524,253)( 5, 88,394,398,408,217,352,499,506,361,
140, 42,479,149,117,164, 69,446,420,129,355,480,362,264,369,481,508,
58,380,134, 67)( 6,305,485,228,209,157,125,311,395,416,318,104,442,
230, 75,234,424,389,240,309,423,277,118,459,466, 57,107,296,387,169,
27)( 7,232, 98,255,165,258,145,241,257,123, 80, 24,460,148,378,449,
198,303,175,250,187,379,300,410,287,295,251,482,239, 23,244)
( 9,200, 81,439,343,163,154,116, 96,111,354,328,128,181,156,371,184,
252,456, 87, 91,373,170,269,474,478, 95,261, 94,245,282)
( 10,411,266, 77,505,332,100,307,469, 89,495, 46,298,404, 25,515,455,
233, 64,316,182,153, 19,494,409, 34, 99,197,204,259,339)
( 11,226,429,103, 36,185,401,289,337, 93,142,360,201, 51,176,237, 48,
321,115,356,376,418,206,146,522,299,454,450,281,278,428)
( 12,467,225, 14,312,147,353,162,475, 33,158,144,412, 62,155,236, 70,
220,179,199,294,516,413,284, 43, 49,503,314,512, 32,344)
( 16,397,308,391,297,528, 38,381, 44,136,383,273,139,372,108,440,167,
56,335,180,189,132, 60,235,390,262,431,336, 45,453,477)
( 18,218, 83,349,491,426,451,419,191,422,351,406,271,358, 84,331,347,
345,178,377,213,268,517,270,141,445,501,484,473,497,109)
( 20, 39,216,333,138,276,137, 61, 30,438, 68,302,304,242,399,525,510,
152,214,249,310,493,221,212,370,210,367,174,135,329,359)
( 26,292,106,229,260,488, 35,403,120,279, 54,334,267,421,319,207,161,
323,113,133, 50,396,338, 29,350, 52, 82,246,285,177,192)
( 37, 74,196, 76, 63,315, 78,105, 41,363,366,143,101,393,320, 90,434,
492,348,346,325,486,526,110,211,301,470,219,433,193,436)
( 40,102,183,407,313,114,195,437,112,121,194,500,430,392,166,457,461,
238,375,496,498,415,254,365,483,523,521, 85,342,222,374)
( 47,386,190,414,527,119,444,280,518,514,432,489,476,124,519, 79,215,
364, 66,384,341,171,388,468,462,471,400,223,507,293,511),
( 1,140,161,362, 58,432,506,435,174,272,403, 77, 21,277,460, 61,346,
44,283,345,409,517, 2, 56,492, 20,148, 75,441, 25,384,202,302)
( 3,215,477,359, 15, 47, 82,448, 30,431, 54, 72,439,521,422,255,430,
329, 14,299,236,110,361,393,503,226,162,438,415,300,109,437,154)
( 4,383,508,178,459,183,414,203,420, 37,204,323,191,244,253,251, 18,
514,182,315, 5, 22, 29, 40,442,268,264,440,524,360,500,254,237)
( 6,100,260,105,385,287,166,337,405,446,222, 9, 94,128,111,313, 88,
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( 7, 66,290,201,305,522, 35,333,320,526,138,341,429,228,176,291,120,
295,375,307,505,156,262,144,447,348,327,344, 16, 95,404,495,457)
( 8,301,143,205,401,332,149,472,377,256,306,234,342,296,527,211,456,
171,239,488,170,101,338,395,114,423,490,188,213,509,217,298,376)
( 10,433,265,181,142,119,225,326,175,214,177,507,310,241, 31,475,396,
48,261,208, 41,233,274,259,242,116,351,127,497, 81,210,316, 13)
( 11,464,511,413, 73,483,137,229, 59,425,248,324,122,160,468, 39,121,
330,199,246,224,454,141,416,303,515,394, 91, 69,266,257,107,331)
( 12,494,444,374, 85,168,104,133,499,358,343,353,367,297,485,132,304,
312,163,501, 42,280,466,231,195,407, 50, 34,158,278,368,317,281)
( 17,373,486,159,463,389, 80,152,493,449,240,427,487, 90, 87,502,134,
381,212,471,470,412, 64,378,520, 24,339, 32,366,292,525,335,355)
( 19,221,131,185,364,519,136,491,167,267,279,418, 55,510, 99,512,145,
451,155, 60,480, 92, 23,417,286,482,382,380,391,314, 83,250, 62)
( 26,513,347,408,102,117,270,452,400, 86,419, 38,481,421,235,516,179,
206,436,309,151,465,424, 78, 36,284,294,308,124,369,180,218,504)
( 27,523,112,157,397,263,118,219,386, 96,467,197, 84,192, 70,198,135,
282, 51,354, 68,123, 49,223,445,153, 33,200, 52,363,230,322,390)
( 28,285,245, 45,328,293, 65,398,196,356,113,311,469,103,271,365,243,
474,458,370,399,172,184,186,194,484,146, 89,387,518,289, 76,164)
( 43,189,126,498,476,473,462,371,478,106,406,319,392,247,528,220,349,
410,187,125,428,216,336,130,249,357,453,276,450,169,258, 98,426)
( 53,455,269, 67,129,252,411,150,139,489, 57,288,165,461,334,227,479,
325,108, 74,443, 63,273,434,352,173, 79,238,379, 71,318,207,372) ] ],
[ 2, 163680, 0, "2", [ [ 155, 3 ], [ 62, 1 ] ], 1, "PGammaL(2, 2^5)",
[ "L", [ 2, 32 ], 1 ],
[ ( 1,514,161, 17,441)( 2,266,201,216,302)( 3,160,498,138,185)
( 4,149, 80,448,375)( 5, 66,106,444,192)( 6,386,267, 86,433)
( 7,464,147, 58,173)( 8,458,141,513,358)( 9,503,176,432,229)
( 10,243,245,247,118)( 11,157,423,437,416)( 12, 63,145, 68,490)
( 13,210,125,241,184)( 14,278, 83,351,379)( 15,364,177, 49,387)
( 16, 98,327,419,153)( 18, 42,378,473,296)( 19,512,331,366,211)
( 20,525,320,166, 89)( 21, 85,493,402, 34)( 22,136,107, 67,313)
( 23,522,289,312,435)( 24,244,233,393,461)( 26, 60, 73,168,119)
( 27,376,478, 57, 43)( 28,429,221, 99,294)( 29,345,401,170,190)
( 30,489,207,116,372)( 31,476, 35,213,232)( 32,388,334,389,447)
( 33, 47, 82,397,436)( 36,303,249,406,310)( 37,223,488,298,415)
( 38,414, 52, 77,479)( 39,248, 74,143,200)( 40,347,172, 94,467)
( 41,359,383,443,134)( 44, 48,335,329,144)( 45,257,524,495,395)
( 46,109,373,288,481)( 50,348,391,483,518)( 51,405,275,506,126)
( 53,517,450,226, 70)( 54,150, 87,174,527)( 55,344,382,286,105)
( 56,318, 96,273,528)( 59,198,480,180,301)( 61,104,239,470,317)
( 62,297,263,321,501)( 64,471,396,434,353)( 65,508,475,238,140)
( 69,276,165,400,338)( 71,507,319,428,380)( 72,442,199,413,484)
( 75,264,362,425,486)( 76,361,492, 91,287)( 78,398,284,282,181)
( 79,323,254,409,491)( 81,504,290,502,367)( 84,466,333,114,336)
( 88,283,268,465,179)( 90,427,311,339, 92)( 93,341,421,291,203)
( 95,100,477,102,122)( 97,300,309,265,390)(101,445,496,156,224)
(103,250,162,236,315)(108,352,209,274,234)(110,227,516,295,230)
(111,377,314,399,420)(112,151,509,228,159)(113,370,218,171,520)
(115,346,411,510,381)(117,271,214,225,354)(120,121,497,164,384)
(123,408,523,146,505)(124,279,385,128,195)(127,453,499,418,469)
(129,281,324,251,342)(130,132,455,237,231)(131,368,270,189,220)
(133,155,322,305,511)(135,487,357,242,355)(137,374,326,337,186)
(139,456,219,212,193)(142,183,308,494,328)(148,365,463,431,202)
(152,205,222,392,158)(154,256,430,412,460)(163,206,459,191,439)
(167,519,285,255,449)(169,330,462,246,424)(175,293,350,304,515)
(178,422,526,426,262)(182,252,349,259,272)(187,360,196,468,260)
(188,307,204,369,404)(194,410,253,269,457)(197,280,403,208,472)
(215,292,299,407,371)(217,343,316,363,454)(235,261,277,438,482)
(240,500,325,258,332)(306,440,417,356,340)(446,451,521,485,474),
( 1,135,383,277, 28,325,189,328,194,455)( 2, 38,204,111,163,378,240,
134, 15, 88)( 3,268,256, 32,426,103,257,431,300,253)
( 4, 84, 50,477,160,417,327,197, 74,107)( 5, 69,298,428,291,348,434,
49,389,254)( 6,306, 16,127,267,290,281, 42,236,162)( 7,133,289,174,
56,216,152,475,502,234)( 8,137,483,437,219)( 9,255,397,424,345,113,
86,213,299, 60)( 10,338,225,423, 95,287,115,528, 19,278)
( 11, 91, 71,472,460, 85,406,518,320,452)( 12,123,222,401,353,321,448,
507,190,335)( 13,303,285, 46,524,421,374,262, 61,312)
( 14,110,407,390,412,147,280,198,196,381)( 17,121, 77,444,385,187,150,
155,116,370)( 18,404, 98,195,229, 57,486,104,399,146)
( 20,322,368,241,191,432,425,521,342,355)( 21,474,122,273,402,380, 54,
136,525,386)( 22,332,117,296,492,149,106,202,274,336)
( 23,480,318,367,221,212,205, 26,371,523)( 24,514,442,509,457,188,484,
415,206,488)( 25,178,193,165, 83,168,344,481,517,275)
( 27, 93,250,493, 29,239,309,331,139,357)( 30,485,501,217,461,391,324,
456,235,384)( 31, 76, 40,489,101,394,131,494,286,169)
( 33,237,361,233,140,377, 75,177, 96,297)( 34,171,158,159,118,356,226,
232,138,379)( 35,340,129,307, 78,179, 51,248, 62,343)
( 36,522,450,161,473,346,313,330,487,337)( 37,305,184, 92,199,504,265,
498,308,210)( 39,243,449, 41,231, 72,215,347,144,350)
( 43, 90,207, 82,429,405,376,351,440,317)( 44,441,422,467,372,293,339,
48,476,261)( 45,451,459,447,264, 73,395,462,418,468)( 47, 53, 68,185,
242,427,218,269,153,295)( 52,203,220,288,311,511,114,252,154,458)
( 55, 63,526,157,141, 87,510,209,392,471)( 58,446,181,176,316,497,166,
478, 70,527)( 59,414,319,182,270,463, 80,276, 99,326)
( 64,465,301,128,366,420,245,364,454,151)( 65,354,186, 94,334)
( 66,247,228,362,400,516,360,251,315,499)( 67,496,323,413,396,238,430,
143,373,148)( 79,469,272, 97,411,464,503,108,491,513)
( 81,263,183,365,109,164,438,246,445,100)( 89,403,466,515,271,419,363,
341,244,112)(102,302,227,520,310,145,294,125,482,436)
(105,124,479,490,359)(119,230,260,211,410,249,409,416,435,333)
(120,369,512,508,266,382,292,470,443,393)(126,132,453,192,506,398,224,
223,358,349)(130,172,167,258,284,173,200,314,175,142)
(156,433,282,180,279,519,439,259,352,283)(170,388,375,329,214,500,495,
387,505,201)(208,304) ] ],
[ 3, 24815256521932800, 1, "2", [ [ 527, 1 ] ], 2, "PSp(10, 2)",
[ "B", [ 5, 2 ], 1 ],
[ ( 2, 4)( 5, 7)( 6, 9)( 11, 17)( 13, 20)( 15, 23)( 16, 25)( 18, 28)
( 21, 33)( 24, 37)( 29, 45)( 32, 49)( 38, 57)( 39, 59)( 41, 61)
( 46, 67)( 47, 69)( 48, 71)( 52, 76)( 54, 79)( 58, 84)( 60, 87)
( 62, 91)( 64, 94)( 68,100)( 80,112)( 81,114)( 85,120)( 90,124)
( 92,128)( 95,115)( 96,134)( 97,125)(101,136)(102,140)(103,141)
(104,143)(105,144)(107,146)(108,147)(110,149)(113,154)(116,150)
(117,159)(122,165)(123,167)(129,176)(132,178)(137,179)(138,186)
(142,193)(145,198)(151,206)(155,212)(156,213)(161,214)(163,220)
(164,222)(166,225)(168,229)(172,234)(181,245)(182,246)(183,218)
(185,236)(187,252)(188,247)(197,263)(207,272)(209,258)(216,282)
(217,284)(219,283)(221,255)(228,289)(238,290)(239,302)(248,313)
(249,314)(254,318)(257,321)(260,323)(261,324)(262,326)(264,329)
(265,330)(266,291)(270,335)(275,336)(278,343)(285,353)(288,356)
(293,361)(294,362)(296,334)(297,364)(304,305)(317,380)(320,383)
(322,386)(325,390)(327,371)(333,396)(338,401)(342,347)(358,413)
(359,415)(363,420)(365,402)(366,423)(369,416)(372,426)(373,406)
(375,414)(378,430)(379,427)(385,436)(388,432)(392,442)(394,444)
(397,447)(399,449)(407,454)(410,435)(412,448)(418,459)(425,466)
(428,469)(431,472)(439,461)(440,476)(450,483)(453,486)(463,494)
(488,508)(511,516), ( 1, 2, 5, 8, 13, 21, 16, 10, 6, 4, 3)
( 7, 11, 18, 29, 46, 68, 70, 47, 30, 19, 12)( 9, 14, 22, 34, 52, 77,
85, 58, 38, 24, 15)( 17, 26, 41, 62, 92,129,130, 93, 63, 42, 27)
( 20, 31, 48, 72,105, 88, 60, 40, 25, 39, 32)( 23, 35, 53, 78,109,148,
155,113, 80, 54, 36)( 28, 43, 64, 95,133,180,164,121, 86, 59, 44)
( 33, 50, 74,107, 76,108,102, 69,101, 75, 51)( 37, 55, 49, 73,106,145,
199,158,115, 81, 56)( 45, 65, 96,135,183,248,249,184,136, 97, 66)
( 57, 82,116,146,200,265,285,218,160,117, 83)( 61, 89,123,168,230,293,
296,233,171,125, 90)( 67, 98,119, 84,118,161,197,144,185,137, 99)
( 71,103,142,194,260,288,226,166,122, 87,104)( 79,110,150,205,269,334,
338,273,207,151,111)( 91,126,172,235,298,365,366,299,236,173,127)
( 94,131,177,241,305,297,234,225,244,179,132)(100,138,187,253,224,165,
223,264,198,188,139)(112,152,208,263,328,394,402,339,274,209,153)
(114,156,214,259,193,258,322,347,281,215,157)(120,162,219,222,257,192,
141,191,256,221,163)(124,169,231,294,363,412,357,289,295,232,170)
(128,174,237,300,367,326,392,329,301,238,175)(134,181,217,159,216,283,
350,375,312,247,182)(140,189,254,319,382,433,435,384,320,255,190)
(143,195,261,325,391,441,443,393,327,262,196)(147,201,252,317,381,432,
445,395,331,266,202)(149,203,267,332,335,398,448,397,333,268,204)
(154,210,275,340,321,385,324,389,341,276,211)(167,227,271,206,270,336,
399,414,358,290,228)(176,239,303,355,287,220,286,354,369,304,240)
(178,242,306,370,424,465,467,425,371,307,243)(186,250,315,344,278,212,
277,342,379,316,251)(213,279,345,390,440,477,485,452,404,346,280)
(229,291,359,330,352,284,351,407,416,360,292)(245,308,314,378,318,272,
337,400,427,372,309)(246,310,373,428,454,487,492,460,420,374,311)
(282,348,405,447,481,497,468,426,453,406,349)(302,343,403,411,356,410,
439,388,323,387,368)(313,376,429,380,431,383,434,409,353,408,377)
(361,417,458,490,472,500,484,451,401,450,418)(362,419,449,482,508,511,
488,455,413,446,396)(364,421,461,438,386,437,475,503,493,462,422)
(415,456,489,469,498,515,522,517,509,483,457)(423,463,444,480,507,504,
476,466,496,495,464)(430,470,459,491,512,519,518,510,486,499,471)
(436,473,501,506,479,442,478,505,516,502,474)(494,513,520,523,525,527,
528,526,524,521,514) ] ],
[ 4, 25015379558400, 1, "2", [ [ 255, 1 ], [ 272, 1 ] ], 1, "O-(10, 2)",
[ "2D", [ 5, 2 ], 1 ],
[ ( 1,450,274,395,191, 32,228,488,132,454,345,248,414,335,213, 72,101,374,
418,276,306,519,381,364,452,471, 55, 58,420,293,308, 26,494)
( 2,357,221,382,240,329,523, 34,236,517,238, 77,358,391,137,472, 86,
286, 74,524,231,344,142,332,177,430, 27,383,405,225,398,224,479)
( 3,312,130,272,324, 13, 76,485,379,280,135,143,131,415,396,401,151,
365,313,439,492, 62,445,264, 10,422, 81,352, 99,215,278,126,480)
( 4,442,421,314,196,294,301,443,193, 61, 89, 51, 24,483,211, 64,487,
413,429,162, 6,140, 39,331,407,220,214, 47, 36,124,528,186, 69)
( 5,389,292,198,397, 14,122,412, 63,440,263,116,370,507,310,371,176,
424,298,118,268, 98, 23,513,399,339,237,380,343,297,138,390, 35)
( 7,449,205,408,249,120,495,349,315,459,387, 87,388,378, 42,437,199,
20,222,212,522,113,321,110, 12,165, 65,351, 84,234,521,160,250)
( 8,328,246,206,481,359,277,190,283,117,245, 38,194,419,362, 37,189,
90,105,164, 75,167,316, 78,303,104,319,144,473,486, 57,446,465)
( 9,467,347,139,156, 16,346,333,406,504, 88,171, 17,497,461,159,258,
296,403,505,375,320,265, 97,353,125,402, 60,341,233,223,366,111)
( 11,109,150,340,305,255,229,136, 18,178,252,182,172,201,373,490,425,
503, 92, 93,123,112,489,474,400,409,155,244,300,508,288,478, 19)
( 15, 71,451,458,447,502,456,106, 82,526,161,129,299,377,514,436,270,
188,163,355,363, 59,417,260, 33,174, 95,227,360,393,273, 45,410)
( 21,354,207,282,254,444,498,285,460,484,253,431,259,146, 73,257,350,
173,512,197,218,103,463, 70,169,464,466,187,216,291,251,327,175)
( 22, 53,500,392,455,281,404,239,284,309,426,475, 85,157,287,107,368,
468,416,501, 56,338,108,210,208,348, 67,102,115, 25,511,119,453)
( 28, 52,376, 48,183,325, 44,302,509,243, 29,133,145,148,217,476,457,
428,318,337,304,121, 49, 94,195,219, 30,153,432,235,269,477,491)
( 31, 41,262, 80, 83,317,427,114,372,179, 40,434, 54,154,128,271,289,
46, 66,433,202,326,361,158,168,261,336,411,192,423,203,322,185)
( 43,323,367,141,482,469, 96,394,226,438,181,242,184,134,166,232,384,
525,295,290,441,448,247,147,204,256,230,462, 79,506,435,241,520)
( 50,180,515,342,127,385,496,149,266,518,279,170,209,516,307,267,200,
470,311,100,386,330, 68,499,369,152,356, 91,527,493,334,510,275),
( 1,375,197,233,372,172, 73,482,132,356,256,511,161,423,329,194,311,
201, 37,433,450)( 2,495,363,104,406,464,163,526,513, 5,392,142, 8,
55,365, 84, 44,446,200,497,488)( 3,347, 47,483,328, 93,500,281, 62,
97,143,215,337, 76,137, 29,336,204, 94, 7,428)( 4,313,506, 40,213,
106,439)( 6,190,269,115, 13, 72,468,320,229,493,510,174,401,520, 65,
361,169,148,319,351,144)( 9,333,407, 64,327,466,246, 43,214,461,180,
278,496,270,218,100,102,122,119,430,179)( 10,314,123,362,454,486,186)
( 11,477,110,109,153, 23,236,418,459,321,514,254,416, 39,324,434,207,
465,367, 91,271)( 12,149,199,167,524,443,325,463,494,184, 59, 14,479,
125,253, 54,393,481, 95,431,527)( 15,168,370,380,332, 16,368,262,249,
377, 17,117,383,457, 88,523, 33,315,133,341,397)( 18,292, 82,255,445,
296,286,267,206, 58,394,470, 34, 61,411,391,295,274,108,248, 35)
( 19,371, 96,388,303,222,252, 42,188,116,289,490,273,518,359,382,442,
251,264,130,448)( 20,339,451)( 21, 36,301,429, 50,164,112)
( 22,105,280,338,196,300,438,237,441,484,283,166, 53,516,134,160,354,
502,228,241,243)( 24, 77,121, 57,183,239,358,157, 79,412,202,120, 45,
107,216,498,114,131,489,173,221)( 25,217, 38,326,159, 27,220,208,288,
491,485,340,238,111,223, 41,364,138,440,387, 98)( 26, 80, 87,156,139,
49, 83,381,175,519,462,456,177,521,517,472,127,342,475,348,447)
( 28,266,476,285,309,409,250)( 30,129,219,126, 63, 99,360,147,405,460,
171,145,331,421,293,211,509,435,366,385,257)( 31,146,432,235,453,344,
469,210,158,525,355,312,261,330,369,317,505,452, 71,205, 69)
( 32,507,209,195,395,512,198,244, 75,400,189,279,185,310,349,455,420,
46,390, 78,389)( 48, 60,291,379,135,373,124,345,306,118,226,298,275,
113,449,232,308,247,282,152,103)( 51,334, 89,386, 56,258,474,294,150,
402,408,259,225,501,176,343,471,192,290,231,151)( 52,187,178,140,277,
287,403)( 66,203,141,478,272,427,404)( 67,101,284,304,528,323,374)
( 68,353,515,136,504, 90,426)( 70,378,414,508,260, 74,350)
( 81, 86,357,212,162,352,170)( 85,480,444,316,424,245,128)
( 92,193,503,307,297,467,302)(154,417,487,242,413,191,268)
(155,263,396,437,522,399,224)(165,322,234,230,276,436,410)
(181,422,419,473,182,240,265)(227,305,299)(318,415,425)
(335,499,458,346,384,492,398) ] ],
[ 5, 50030759116800, 0, "2", [ [ 255, 1 ], [ 272, 1 ] ], 1, "PSO-(10, 2)",
[ "2D", [ 5, 2 ], 1 ],
[ ( 1,367,115,151,155,140,268,456,230,423,460, 84,495,457,407,197,442,335,
437, 22,386,334,241,441,138,505,126,284,174,403, 5,277,435,221,145)
( 2,170,329,165,324, 97,489,281,438,111,124,156,275,370,286, 82,475,
425, 88,382,353,182,261,469,472,444,307, 61,184,379,515,110, 20,204,
137)( 3,374,213,132,344,163,195)( 4,260,238,276,528,192,242,343,
308,327,499,474, 53,147,520,289, 60, 14,333,212,488,461,305,399,434,
219,397,257,396, 25,164,159,479,356, 34)( 6,298, 45,252, 46,108,131,
13,171,388,411,194,112,288,220,429,118,394, 56,383,122,482,134,316,
492,234,496,410, 74,432,292,187,229,168, 62)( 7, 72, 85,210,487,103,
225,341, 23,273,173, 8, 80,345,523,253,501,291, 67,141,336,440,339,
443,227,169, 43,188, 95,342,485,256,502,522,129)( 9,404,415, 49,280,
504,358,413,222,321,315,361,428,476,521,478, 90, 29,290,109,237,113,
100, 83,217, 54,357,282,207,431,309,331,203,498, 10)( 11,467,251, 76,
318,373,430)( 12,312,462,262,125)( 15,414,507,359,244,248,148,453,
303, 73,200,360,216,519,351, 64,322,180,279,389, 75, 66,142,121,380,
24, 28, 94,446, 99,215, 41,296,364,160)( 16, 50, 59,363,512,283,201,
454,371, 51,133,231,465,480,471,152,378,510,486,503,362,337,405,226,
328,245,269, 31,466,381,205,508, 48,500, 37)( 17,266,272, 38, 30,450,
224,202, 87,304,310,314,352,325,347,105,348,193,395,436,463, 40,117,
490,128,349,116,418, 42, 44,385,179, 55,412,451)( 18,455, 47, 68,299,
172,166,350,127,211,426,206,340,143,448,114,483,497,236,136,185,400,
419,196, 79,223,459,417,243, 96, 26,297,239,445,449)( 19,313,323,511,
295,250,524,264,468,107,208,481,162,433,287,330,513,271,516,494,402,
177,146,106,233,209,484,477,406,102,473,178,176,302,154)
( 21,346,191,158,369, 33, 89,326,123,270, 69, 39,365,161,130,186,157,
319,391,183,470,265,366,390,139,372,393, 93,439,254,491,320,181,452,
249)( 27,355,267,384,285,416,228,235,306,294,150,458, 71,258,199,301,
420,317,218,527,376,278,119,274, 65,447,392, 78,409,377, 52,144, 92,
81,517)( 32,149, 35,514,153,398,255,293,240,120,464,368,189,518,421,
190,232,427,300,259, 58,198,375,387, 77, 63,424,247,246, 36,526,493,
263,354,167)( 57,422,338,525,101,509,175)( 70,104,506,401, 91)
( 86,311, 98,408,332,214,135),
( 1,166,339,326, 2,306,292,282, 6,293,273, 97,490,327,348,456, 50,
342,528,119,184,233, 10,102,421, 85, 78,380,365,272)( 3,514, 22,407,
268, 23, 32, 7,214, 86,164,256,334,114,382)( 4, 30,498, 19,424,439,
172,518,237,175,423, 63,376,251, 33)( 5,188,275,341,108,201,519,227,
159,328,266,454,231,388,381,115,129,307,523,154,206,450,291, 89,419,
117,466,483,316,417)( 8,243,186, 65, 54,420,499,525,248,149,211,264,
185,373,451)( 9,509,173,219,488,355,445,192,178,127,240, 68,501,367,
180)( 11,315,344,169,230,472,135, 96,155,294,207,208,311,442,332)
( 12,503,385, 37,125,429, 70,280,405,411, 99,314,226,486,317,104,497,
359,239,401,107, 91,203,371,295, 42, 55, 59, 48,515)( 13, 29,512,281,
431,165,325,510,400,269,310,495, 14,284, 46,468,217, 47,182,100,218,
351,363,378,297,279,140,276,386, 56)( 15,354,183,232,162, 83, 72,101,
377,103,458,190,422,324,137)( 16,262,123,478,139,347,278,448,436, 24,
481, 27,215,144,196)( 17,202,433,393,193,494,489,258,244,427,394,389,
121,410,444,303, 40,112, 60,179,234, 61,204, 38, 77,516,395,105,406,
71)( 18,255,132,299,283,210,223,361,145,176,330, 98,392,138,336)
( 20,383,479,475,247,274,480,356,141,343, 74, 93, 81,349,463,156,168,
333,329,167,438, 31, 53, 80,396,220,434, 88,364,446)( 21, 43,440,313,
236, 26,522,304,163, 41, 57,312, 58,449,221)( 25,181)
( 28, 84,416,289,414,372,402,113,150,513,426, 69, 90,187,369)
( 34,147,459,465,425,197,320,260,409,435,189,521,340,171,397,191,257,
337,500,110,241,461, 39,370,505,259,413,471,432,346)( 35,252,415,229,
308,335,153, 51,106,116,319,353,428,469,160,120,492,321,302,305,460,
263,350,134,352,520,235,109,384,412)( 36,366,122,508,224,267,399,124,
87,157,288,261,474,511,487,375,212,287,455,418, 82,238, 92, 73,242,
62,170,265, 45,502)( 44,286,177,476, 64,482,452,443,507,404,467,453,
152,464,345)( 49, 75,430,199,408,296,213,504,318,128,441,209,151,250,
496)( 52,198,285,517,158,477,470,398,174,379,331,254,301,270,271)
( 66,358,524,246,360,253,249, 76,322,118,527,146,130,131, 67)
( 79,387,126,362,298,323,290,133,357,136, 94,447,338,390,111)
( 95,391,309,300,437,457,368,195,473,245,491,222,526,225,403)
(142,277,374,493,194,216,228,485,205,506,148,200,161,143,484) ] ],
[ 6, 4341658809405943247759097200640000000, 1, "2", [ [ 465, 1 ], [ 62, 1 ] ],
1, "Alt(33)", [ "A", 33, 1 ],
[ ( 2, 3, 5, 8, 12, 17, 23, 30, 38, 47, 57, 68, 80, 93,107,122,138,155,
173,192,212,233,255,278,302,327,353,380,408,437,467)( 4, 7, 11, 16,
22, 29, 37, 46, 56, 67, 79, 92,106,121,137,154,172,191,211,232,254,
277,301,326,352,379,407,436,466,497,528)( 6, 10, 15, 21, 28, 36, 45,
55, 66, 78, 91,105,120,136,153,171,190,210,231,253,276,300,325,351,
378,406,435,465,496,527,498)( 9, 14, 20, 27, 35, 44, 54, 65, 77, 90,
104,119,135,152,170,189,209,230,252,275,299,324,350,377,405,434,464,
495,526,468,499)( 13, 19, 26, 34, 43, 53, 64, 76, 89,103,118,134,151,
169,188,208,229,251,274,298,323,349,376,404,433,463,494,525,438,469,
500)( 18, 25, 33, 42, 52, 63, 75, 88,102,117,133,150,168,187,207,228,
250,273,297,322,348,375,403,432,462,493,524,409,439,470,501)
( 24, 32, 41, 51, 62, 74, 87,101,116,132,149,167,186,206,227,249,272,
296,321,347,374,402,431,461,492,523,381,410,440,471,502)
( 31, 40, 50, 61, 73, 86,100,115,131,148,166,185,205,226,248,271,295,
320,346,373,401,430,460,491,522,354,382,411,441,472,503)
( 39, 49, 60, 72, 85, 99,114,130,147,165,184,204,225,247,270,294,319,
345,372,400,429,459,490,521,328,355,383,412,442,473,504)
( 48, 59, 71, 84, 98,113,129,146,164,183,203,224,246,269,293,318,344,
371,399,428,458,489,520,303,329,356,384,413,443,474,505)
( 58, 70, 83, 97,112,128,145,163,182,202,223,245,268,292,317,343,370,
398,427,457,488,519,279,304,330,357,385,414,444,475,506)
( 69, 82, 96,111,127,144,162,181,201,222,244,267,291,316,342,369,397,
426,456,487,518,256,280,305,331,358,386,415,445,476,507)
( 81, 95,110,126,143,161,180,200,221,243,266,290,315,341,368,396,425,
455,486,517,234,257,281,306,332,359,387,416,446,477,508)
( 94,109,125,142,160,179,199,220,242,265,289,314,340,367,395,424,454,
485,516,213,235,258,282,307,333,360,388,417,447,478,509)
(108,124,141,159,178,198,219,241,264,288,313,339,366,394,423,453,484,
515,193,214,236,259,283,308,334,361,389,418,448,479,510)
(123,140,158,177,197,218,240,263,287,312,338,365,393,422,452,483,514,
174,194,215,237,260,284,309,335,362,390,419,449,480,511)
(139,157,176,196,217,239,262,286,311,337,364,392,421,451,482,513,156,
175,195,216,238,261,285,310,336,363,391,420,450,481,512),
( 1, 2, 4)( 3, 6, 7)( 5, 9, 11)( 8, 13, 16)( 12, 18, 22)
( 17, 24, 29)( 23, 31, 37)( 30, 39, 46)( 38, 48, 56)( 47, 58, 67)
( 57, 69, 79)( 68, 81, 92)( 80, 94,106)( 93,108,121)(107,123,137)
(122,139,154)(138,156,172)(155,174,191)(173,193,211)(192,213,232)
(212,234,254)(233,256,277)(255,279,301)(278,303,326)(302,328,352)
(327,354,379)(353,381,407)(380,409,436)(408,438,466)(437,468,497)
(467,498,528) ] ],
[ 7, 8683317618811886495518194401280000000, 0, "2", [ [ 465, 1 ], [ 62, 1 ] ],
1, "Sym(33)", [ "A", 33, 1 ],
[ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
91,101,111,122,133,145,157,170,183,197,211,226,241,257,273)
( 4, 6, 8, 11, 14, 18, 22, 27, 32, 38, 44, 51, 58, 66, 74, 83, 92,
102,112,123,134,146,158,171,184,198,212,227,242,258,274,291,290)
( 9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67, 75, 84, 93,103,113,
124,135,147,159,172,185,199,213,228,243,259,275,292,308,307,324)
( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 76, 85, 94,104,114,125,136,
148,160,173,186,200,214,229,244,260,276,293,309,326,325,341,358)
( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,115,126,137,149,161,
174,187,201,215,230,245,261,277,294,310,327,343,342,359,375,392)
( 36, 42, 48, 55, 62, 70, 78, 87, 96,106,116,127,138,150,162,175,188,
202,216,231,246,262,278,295,311,328,344,361,360,376,393,409,426)
( 49, 56, 63, 71, 79, 88, 97,107,117,128,139,151,163,176,189,203,217,
232,247,263,279,296,312,329,345,362,378,377,394,410,427,443,459)
( 64, 72, 80, 89, 98,108,118,129,140,152,164,177,190,204,218,233,248,
264,280,297,313,330,346,363,379,396,395,411,428,444,460,473,485)
( 81, 90, 99,109,119,130,141,153,165,178,191,205,219,234,249,265,281,
298,314,331,347,364,380,397,413,412,429,445,461,474,486,496,505)
(100,110,120,131,142,154,166,179,192,206,220,235,250,266,282,299,315,
332,348,365,381,398,414,431,430,446,462,475,487,497,506,513,519)
(121,132,143,155,167,180,193,207,221,236,251,267,283,300,316,333,349,
366,382,399,415,432,448,447,463,476,488,498,507,514,520,524,527)
(144,156,168,181,194,208,222,237,252,268,284,301,317,334,350,367,383,
400,416,433,449,425,442,458,472,484,495,504,512,518,523,526,528)
(169,182,195,209,223,238,253,269,285,302,318,335,351,368,384,401,417,
434,450,464,391,408,424,441,457,471,483,494,503,511,517,522,525)
(196,210,224,239,254,270,286,303,319,336,352,369,385,402,418,435,451,
465,477,357,374,390,407,423,440,456,470,482,493,502,510,516,521)
(225,240,255,271,287,304,320,337,353,370,386,403,419,436,452,466,478,
489,323,340,356,373,389,406,422,439,455,469,481,492,501,509,515)
(256,272,288,305,321,338,354,371,387,404,420,437,453,467,479,490,499,
289,306,322,339,355,372,388,405,421,438,454,468,480,491,500,508),
( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
( 90,100)(110,121)(132,144)(156,169)(182,196)(210,225)(240,256)
(272,289)(273,290)(291,307)(306,323)(308,325)(326,342)(340,357)
(343,360)(361,377)(374,391)(378,395)(396,412)(408,425)(413,430)
(431,447)(442,448) ] ],
[8, Factorial(528)/2,1,"2",[[527,1]],526, "Alt(528)", ["A",528, 1], "Alt"],
[9, Factorial(528),0,"2",[[527, 1]],528, "Sym(528)", ["A",528, 1], "Sym"]];
PRIMGRP[529]:=
[[ 1, 208119169843200, 0, "4c", [ [ 44, 1 ], [ 484, 1 ] ], 1,
"M_23 wreath Sym(2)", [ "Spor", "M(23)", 2 ],
[ ( 1, 82,301,364, 15,128,322,226)( 2,358,314,134, 23,220,300, 88)
( 3,243,307,502)( 4,289,313,180, 22,381,306,203)( 5,335,308,111,
11, 59,309,410)( 6, 36,305, 42)( 7,197,303,295, 14,174,321,387)
( 8,496,302,249)( 9,105,310, 65, 10,404,304,341)( 12,266,320,525,
16,450,317,479)( 13,312,318, 19)( 17,427,316,433)( 18,473,311,272,
21,519,315,456)( 20,151,319,157)( 24, 75, 25,351, 38,121, 46,213)
( 26,236, 31,489)( 27,282, 37,167, 45,374, 30,190)( 28,328, 32, 98,
34, 52, 33,397)( 35,259, 44,512, 39,443, 41,466)( 40,420)( 43,144)
( 47, 79,393,350,337,124,115,218)( 48,355,406,120,345,216, 93, 80)
( 49,240,399,488,325,239,100,494)( 50,286,405,166,344,377, 99,195)
( 51,332,400, 97,333, 55,102,402)( 53,194,395,281,336,170,114,379)
( 54,493,394,235,330,492, 95,241)( 56,401,396,327,331,101,103, 57)
( 58,263,412,511,338,446,110,471)( 60,171,413,373,329,193, 96,287)
( 61,125,414,212,323, 78, 94,356)( 62,447,409,465,334,262,113,517)
( 63,424,408,419,339,423,109,425)( 64,470,403,258,343,515,108,448)
( 66,148,411,143,342,147,112,149)( 67,516,407,442,340,469,104,264)
( 68,378,398,189,326,285,106,172)( 69,217,392, 74,324,354,107,126)
( 70, 71,347,360,130,138,230,208)( 72,232,353,498,118,253,215,484)
( 73,278,359,176,137,391,214,185)( 76,186,349,291,129,184,229,369)
( 77,485,348,245,123,506,210,231)( 81,255,366,521,131,460,225,461)
( 83,163,367,383,122,207,211,277)( 84,117,368,222,116, 92,209,346)
( 85,439,363,475,127,276,228,507)( 86,416,362,429,132,437,224,415)
( 87,462,357,268,136,529,223,438)( 89,140,365,153,135,161,227,139)
( 90,508,361,452,133,483,219,254)( 91,370,352,199,119,299,221,162)
(141,250,146,503)(142,296,152,181,160,388,145,204)(150,273,159,526,
154,457,156,480)(155,434)(164,252,376,490,187,234,284,497)
(165,298,382,168,206,372,283,198)(169,505,371,237,192,487,279,244)
(173,275,389,513,200,441,294,474)(175,183,390,375,191,188,280,290)
(177,459,386,467,196,257,297,520)(178,436,385,421,201,418,293,428)
(179,482,380,260,205,510,292,451)(182,528,384,444,202,464,288,267)
(233,238,491,486)(242,261,504,509,246,445,501,463)(247,422,500,417)
(248,468,495,256,251,514,499,440)(265,274,527,522,453,455,478,472)
(269,458,524,476,449,271,481,518)(270,435,523,430,454,432,477,426),
( 1,349, 69,457,196,435,386,509,266,121,339,313,238,493,208,347,184,
446,403,419,294,513, 36,126,109,314,468,499)( 2,165, 55,411,189,297,
375, 26,264, 98,337,474,246, 10,211, 48,181,193,412,373,279,260, 29,
333,106,245,470,223)( 3,257, 52,342,198,251,378,210,255,167,331,405,
235,286,214, 25,172,101,406,465,292, 7, 27, 57,112,199,481,384)
( 4, 50, 66,204,205,389,371,256,259,328,336,244,240,217,209,163,170,
400,396,281,283, 30, 34,103,107,475,476, 16)( 5,280, 53, 43,195,113,
383,463,269, 6,326, 60,250,194,228,370,164,262,397,327,290,237, 33,
218, 94,176,469,407)( 8,487, 47,365,207,458,380,417,271,512,335,129,
247,309,215,485,162,354,414,442,288,421, 41,517,105,130,477,315)
( 9,395, 51,296,191, 44,379, 95,268,466,338, 14,234, 56,227,186,182,
377,394,258,282,329, 37,241,102,222,462,177)( 11, 96, 61,480,200, 21,
372, 49,273,190,343,382,233,263,213,324,175,239,401,212,278,168, 32,
402, 97,291,467, 39)( 12,418, 64,526,197,136,385,302,261,489,323,359,
253,447,219,416,179,515,404,120,293,306, 31,494, 93,360,483,453)
( 13,119, 63,319,192,504,369,348,276,443,334,428,248,516,220,117,178,
308,399,488,277,352, 46,448,104,429,478,522)( 15,464, 62, 20,188, 67,
388,187,274,374,325,267,236,332,221,232,171,216,393,166,285,398, 28,
287, 99, 38,471,108)( 17,303, 54,503,185,366,391,440,265,420,340,520,
243,125,224,301,169,492,392,350,299,444, 35,425,110,521,473,131)
( 18,510, 59,135,201,320,376,486,254,351,345,451,242,424,225,508,174,
124,408,304,284,490, 24,356,115,452,472,430)( 19,142, 68, 89,203,159,
390, 72,272,144,344, 83,249,148,229, 71,180,147,413, 74,295,145, 45,
80,111,153,482, 85)( 22, 73, 65,158,206, 90,387,141,275, 75,341,152,
252, 79,226,140,183, 78,410,143,298, 76, 42,149,114, 84,479,154)
( 23,441, 58,434,202,527,381,118,270,305,330,497,231,355,230,439,173,
423,409,511,289,122, 40,310,100,498,461,361)( 70,364,161,459, 81,433,
156,528, 82,134,155,321, 77,502,139,367, 92,456,150,436, 87,525,151,
137, 86,318,146,505)( 88,157,160, 91)(116,362,322,445,495,415,363,
529,450,127,431,317,514,496)(123,500,300,353,506,438,357,437,455,518,
427,133,523,312)(128,132,316,307,491,484,346,368,460,449,426,432,524,
519)(138,454,311,422,501,507,358) ] ],
[ 2, 334163384733794511232410592146672844800000000, 0, "4c",
[ [ 44, 1 ], [ 484, 1 ] ], 1, "Alt(23) wreath Sym(2)", [ "A", 23, 2 ],
[ ( 1,205,365,230,234,341,520,462,492, 11,113,360,184,237, 65,507,186,503,
218, 96,337,175,467, 55)( 2,504,356,115,245,180,513, 48,484,195,112,
222,165,329, 60,461,193, 20,228,349,345,244,479,515)( 3,412,363, 46,
235,318,522,416,491,149, 98,268,173,122, 59, 70,194,457,224,280,325,
405,478, 32, 5,320,361,437,238,157,512,255,495,126,105, 84,171,444,
63,277,187,411,225, 27,327,313,476,423, 8,159,351,276,242,134,519,
71,493,448,109,291,164,398, 64, 24,189,319,223,418,330,152,466,262,
12,136,358, 92,240,456,523,278,486,402,110, 38,166,306, 62,415,192,
158,213,257,334,129,473, 78, 10,458,362,299,233,410,524, 25,488,310,
108,429,169,145, 52,254,196,135,220, 73,332,451,477,285)
( 4,343,359,483,239, 19,527,347,506,241,111,521,163,490, 57, 93,199,
181,214, 50,323,198,480,216)( 6,274,357,138,243, 88,516,439,500,287,
95,406,179, 30, 51,300,200,434,215,142,328,267,472,124, 13, 90,355,
460,247,295,509,393,501, 34, 97,314,177,421, 54,139,190,273,219,119,
335, 83,470,446, 17,297,348,414,248, 42,511,301,499,425,100,153,167,
260, 58,116,197, 89,217,441,339,290,463,400, 18, 44,350,322,246,433,
514,140,489,264,104,130,174, 76, 56,438,201,296,210,395,340, 37,465,
308, 16,435,353,161,236,272,518,117,496, 80,102,452,178,283, 49,392,
202, 43,212,303,338,428,468,147)( 7, 67,346,207,250,226,510,324,497,
471,101, 15,182,352, 69,231,203,526,209,487,333,106,475,170)
( 9, 21,366,368,253,249,525,508,485,494,103,107,176,168, 53, 47,185,
204,227,211,326,336,474,469)( 14,481,354, 23,251,364,529,232,502,517,
94,498,172, 99, 61,162,191, 66,208,188,342,221,464,331)
( 22,389,367,391,252,387,528,370,505,379,114,383,183,375, 68,369,206,
388,229,372,344,382,482,377)( 26,396,317, 39,419,307,154,420,261,150,
121,266, 81,125,450, 86,286,440,408,294)( 28,304,315,430,422,146,144,
259,265,127,128, 82, 79,447,454,293,279,394,409, 41)( 29,258,311,131,
427, 77,148,443,270,288,118,404, 87, 33,442,316,292,417,399,156)
( 31,143,305,269,426,123,151, 75,263,449,132,289, 72,401,455, 40,281,
302,407,432)( 35,120,312, 85,424,445,155,282,256,403,133, 36, 74,309,
453,431,284,141,397,271)( 45,373,321,384,436,376,160,374,275,380,137,
381, 91,378,459,385,298,371,413,386),
( 1,207,252,389,346,186,505,381, 70,196,137,384,415,194,413,388,438,
203,528,373,300,202, 45,375, 47,188,344,382,461,195,114,385,277,187,
229,374,254,199,183,377)( 2,506,243, 90,357,117,499,427, 79,403,135,
453,433,516,396,319,455, 42,513, 51,303,340, 37,467, 57, 96,339,290,
463,218, 98,270,291,164,216, 6,276,245,182,354)( 3,230,236,274,360,
163,492, 13, 92,242,136,361,416,493,404, 89,449,134,522,419,309,409,
43,444, 65,510,327,313,478, 34, 99, 63,280,325,221,466,264,107,178,
285)( 4,345,244,481,356, 94,500,289, 72,219,121,269,429,171,400, 20,
460,249,527,350,301,501, 36, 76, 58,119,338,428,470,402,112,454,295,
509,212,305,271, 38,168, 55)( 5,322,248, 44,352, 48,487,335, 83,472,
126,108,431,286,394,227,443,272,521,166,308, 18, 46,237, 67,349,324,
497,473, 80,104,132,292,417,217,397,273,452,180,515)( 7, 69,234,343,
359,462,494,105, 86,288,118,223,420,263,406,181,446, 19,529,235,320,
363, 25,490, 59, 73,334,129,476,425,102,408,296,440,226,512,258,314,
179, 32)( 8,161,238,159,353,140,491,151, 77,150,123,154,422,148,399,
158,445,157,514,143,307,156, 31,145, 54,142,330,152,468,149,100,155,
284,141,215,144,261,153,169,147)( 9, 23,253,251,366,347,485,496, 82,
81,127,131,430,424,401,411,457,456,525,511,304,317, 41, 30, 53, 50,
326,336,474,471,103,109,293,279,210,213,259,268,176,170)
( 10,414,250,458,364,508,488,312, 87, 35,122, 62,418,332,405,480,448,
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434,187,159, 56,367,349,125,175, 96,433,296,164,363,242, 15,226,439,
42,508,394,221,364,516,464,377,312,522,432,142,406,273,122,206,255,
288,105,358,117,176,443,445,282, 62,387,398,251, 85,342,446, 17,202,
236,128, 90,475,504, 9,397, 89,326,146,115,499,490,108,500, 16,123,
371,143, 3,355,102,456,511,302,213,261,109, 32,250,126,399,241, 53,
11,530,462,327, 18,304,263, 37,337, 36,422,252,208,392,460,517,421,
48,411,488,413,199,253,521, 8,201,523,121, 91, 55,195,526,119,414),
( 1,424, 30,132,372,157,493, 82,405,455,457,270,111, 49,404, 46,384,
451, 44,528,252,203, 18, 65,508,291,246,238,299,227,152, 86,306,173,
100,139,519,324,492,191,486,112,408,470,375,366,162,398,105,247,171,
39,163,255, 10,211, 14,145,142,444,313,479, 66,141,137, 22,432,509,
267,109,469,387,490,277,427, 37,410,353, 19,127,296,280,425, 21,226,
499,232,350,256,168,128,506,522,156,188,317,262,465, 68, 17,409,344,
133, 74,501,440,407,174,495,286, 53, 20,489,386,327,116, 51,443,392,
525,198,143,272,304,468,484,332,292,204,110,228,491,234,439, 35,180,
164,333,441,107, 50,423, 33,183,500, 73,521,351,193,481, 28,438,323,
319,394,511,147, 16,318,315,446,249,450,205,297,421,289,213,355, 62,
298, 94, 85,520, 52,348,504,269,498,136,471,321,360,287,154,374,308,
233,161,222,214,169,482,395,442,257,208,462,416, 9, 76,414, 56,411,
349,190, 3, 5, 55,378,497,303, 88,328,430, 36,459,466, 12, 61,218,
29,435, 59,266,253,195,260,365, 80,311,331,104,494,385,464,397, 90,
453,281,429, 77,102,212,138, 34, 92,181,334, 79, 89,159,302,282,276,
8,155, 47, 13,433,341,419,285,101,275,114,369,345,418,376, 54,363,
309,196,300,382,209,337,377,502,485,165,314,434,403, 64,343,529,187,
261,512, 93,293,166,415, 58,487,182,357,268,290, 70,259,517,400,120,
176,460,312,243,131,108,335, 72,373,379,477,510,121,364,140,225,316,
527, 11,361,122,244, 6,219,307,326,189,231,428,445, 98,523, 2,263,
237,483,236,130,220,118,389,472,347,221, 40,258, 67, 4,474,177,354,
475,245,274,310, 24, 23,391,250, 48,422,336,417,288,135,206,230,254,
325,172, 43,124, 38,412,210, 69,437,436,150,186,215,515,106,283,516,
456,393,202,420,239,113,518, 71,342,240,330,224,507,223,197,458,467,
362, 15, 32,229,271,134,153,241,454,216,338, 99,449,463,144,235,320,
96,339,480,513, 81, 87,388,125,352,329,217,148,530,284,340, 60,473,
201,390,170,192,103,278,503,402, 45,294,167,367,478,199,273,461,117,
396, 57, 26,146,295,505,488, 83,123,251, 78,160,264,151, 97,406, 84,
42,115, 91,346,185,359,175, 41,119, 27,447,413,305,452,184,178,158,
301,371,381,126,279,368,426,322,248,358,383, 31,179, 7,370, 63,526,
75,496,356,129,149,380, 95,200,265,207,194,401, 25,431,242,399,448,
524) ] ],
[ 3, 148035360, 0, "2", [ [ 529, 1 ] ], 2, "PSigmaL(2, 23^2)",
[ "L", [ 2, 529 ], 1 ],
[ ( 1,258,358,166, 68,282,420, 10,240,286,530, 33, 67,274,371,108,339,327,
414,330,284,492)( 2,383,297, 86,234, 21,409,302,478,499,425,168,437,
461,317,154, 62,372, 32, 50,360,266)( 3, 14,439,155, 57,453,423,401,
215,205,158,294,132,131,398,148,446,211, 61, 11,328,316)
( 4,311,440,285,115,228,382, 20,527,386, 45)( 5,303,103,424,128,239,
64,107,243,117,365,318,207,305,343,349,413,369,408,150,124,242)
( 6,105, 18, 59,495, 9, 34,329,209,269,146,392,441,314, 83,206,411,
178,381,493,126,227)( 7,458,196,304,519,189, 41,491,370,142, 52, 39,
389,366,145,501,241,466,435,419,120,290)( 8, 38,202,197,298, 80, 54,
99,391,490, 73,268,402, 89,454, 65,247,192,436,283,323,388)
( 12,232, 92,295,231,312,356,149,225,238,451, 42,504,520,394,288,503,
429,137,127, 97,432)( 13, 53, 70,256,463,181, 75,264,521,485,350,396,
245, 44, 22,162,112,364,459, 76,464,220)( 15, 25, 36,188, 43,342,130,
455,525,489, 81)( 16,415,193,517,502,248,167,500,300, 17, 48,173,172,
476,325,462,334,171,526, 91,524, 84)( 19,119,140,219,201,498,293,416,
74,374, 94,508,138,235,125,506,326,477,336, 90,204,377)
( 23,529,375,244, 85, 82,442,345,159,291, 29, 46,104,263, 72,106,376,
221,443, 31,203,355)( 24, 88,507,412,472,222, 77,337,404,180,301,397,
482,152,254, 98,139,361,515,199,153,444)( 26, 78,310,200,252,379,156,
315,249,340,322,438, 40,319,151, 35,308, 30,164,100, 96,236)
( 27,480,475,265,224,237,324,129, 66, 51,353,174,496,114,467,434,208,
384,465,338, 69,216)( 28,479,359,122,352,332,272,307,511, 95,497,528,
270,147,426,102,473,505,195,487,456,182)( 37,109,134,118,163,271,190,
395,523,143,123,276,273,471,385,250,299,427,110,449,380,447)
( 47,347,488,279,179,135,262,292,187,403,390,121,223,194,367,287, 79,
191,281,133,399,417)( 49,445,469,348,522,136,218,111, 87,321,212,494,
351,261,431,486,346,468,306,341,470,296)( 55,229,160,213,251,267,378,
186,354,165,175,233,483, 56,344,260,363,516,246,217,405,460)
( 58,101,170,255,320,418,450,362,253,448,280,313,309,400,406,407, 63,
428,333,484,144,518)( 60,176,177,230,393,214, 71,513,289,226,512,457,
275,183,474,387,141,210,422,278,357,257)( 93,169,452,410,368,157,510,
433,373,161,430,277,509,185,514,481,331,113,421,116,198,335),
( 1, 72,351,406, 92,368,527,136,311, 64,339,179,217,150,436,430, 53,
468,264,234,305,127,529,207, 54, 99, 21,273,172,156,177,409,356, 83,
330, 33,507,170,189,427,198,442,475,394,474,242)( 2,469,164,116,188,
90,422,269,281,274, 87,425,456,392,297,447,490,141,380,182, 20,393,
314, 10,159,229,194,107, 85,135,218,449, 75,354,362, 95,191,445,101,
502,295,501,307,248, 68,257)( 3,432,250,320,441,517,236,431,471,344,
233,131, 67,428,283,381,261,403,414,332,193,232,147)( 4,137, 19,342,
276,492,413,143,363, 13, 37, 47,290,125,173, 46,347,128,239,205,319,
82,212,277,508,513, 16,220,296,386,267,301,382,365,310, 6, 78, 71,
40,211,374,302,204,266, 52,335)( 5,504,196,424,443, 97,214,293,114,
167, 43,106, 65,284, 18,423,315,518,102,195, 15,454,459,496,126,466,
14,316,299,450,253,416, 32,402,185, 74,163,470,379,421,213,497,505,
499,210,460)( 7,157,346, 88,419, 76,275,304, 9,155,192,324,350,292,
148,134,453, 57,306,181, 45, 63,519,190,514,455, 94,225, 79,246,489,
56,509,199,249,407,404,323,530,317,152,117,498,263,491,503)
( 8,448,175, 62,262,166,322, 55,146, 51,512,216,120, 38,482,112, 35,
201,396,308, 93,500, 48,160,331,360, 80, 91,483,118, 58,451,325, 77,
333,240,336,357,327,313,176,495, 70,187,435,227)( 11,255,376, 84,270,
371,119,228,110,361,113,252,121,287,388,132,493,426,366, 66,115,486,
398,149,353,520, 50,359,411,165,494, 24,326,258,464,282,300,444,124,
378,184,139,271,151,438,345)( 12,526,243,130,337,510,465,480,341,522,
41,251, 28,458,373, 23,231,162,260,340, 49,279, 98,153, 34,349,387,
22, 29,472,238,516,461,477,278,479,524, 25,244,506,174,372,415, 44,
429, 30)( 17,521, 31,256,272,383,202,265,452,389,168,312,515,154,208,
122,417,291, 59,142,412,370,348,358,397,289,186,473,215,183, 73,329,
418,129,405,123,105, 39,511,247,109,390,203,200,434,221)
( 26,226, 36,463,410,169,420,364,108,241,288,318,385,400,103,321,224,
399,237,433,161,303, 69,484,178,104,488,309,268,111,377,180,285,144,
209,235,222,375,343,440, 61, 81,158,145,338, 60)( 27,259,100,481,439,
133,485, 89,478,206,294,369,446,525, 42,328,197,355,467, 86,487,286,
367,476,352,138,462,245,457,334,401,408,140,230,523,395,298,391, 96,
280,254,384,437,528,171,219) ] ],
[ 4, 148035360, 0, "2", [ [ 529, 1 ] ], 3, "PSL(2, 23^2).2_3",
[ "L", [ 2, 529 ], 1 ],
[ ( 1,504,308,352, 99,182,470,320,319,259,127,424,239,324,508, 47,141,305,
39,235,189,404,158,301,260, 70,176,445,125,187,178, 97, 73,332,369,
221,258,517,493,412,403,465,145,414,520,330,289,432,186,401,355, 21,
285,449, 13, 82,266,351,166,463,331,271,270,120,408,491,238,282, 86,
59,392,329,372, 3,224,379,363,452, 52,494,253, 25,223,150,248,177,
357, 71, 91, 95, 88,255, 64, 7, 18,220,341, 67,528,129,415,460,339,
264,402,171,267,121, 31,397,105,505,199,464, 41,399,205,149,275, 50,
147,165,439,286,228,513,474, 66,283,509,231,371, 46,322,117, 40,418,
163,518,423,206,208,190,390,398,446,152,184, 43,405,216,108,201,146,
472,387,112,486, 93,114,349,484,347,512,388,115, 24,295, 36,475,202,
78,243,106,241,476,497,104,478,203,118,444,389,482,374,185, 17,406,
438,144,192,200,400,382,384,167, 72,427,172, 20,473,268, 14,219,359,
81,307,524,116, 77,362,304,151,425,443, 10,315,441,385,191, 19,126,
391, 85,485,193, 29,469,323,419,188,326,251,130,175,461, 62,523,249,
370, 42, 53,526,335,502,495,499,519,233,413,342,440,367, 35,337, 96,
8,138,227,211,366, 57,218,261,198)( 2,410,314,280,510,212, 49,100,
457,516,380,132,467, 16, 63,521,161,148,459, 5,317,217,213, 4, 37,
156,435, 76, 34,250,124,318,468,364,229,244,143,421,215,128,396,511,
395,196,254,477,298,529,345,481,103,284,279,360,240,354,376,488,107,
90,291,503,489,338, 51,111,344,422,234,433, 60, 89, 38,242,278,164,
134,159, 15,313,383, 28,343,353,179, 54,368,160,232,162,515,293,333,
417,140,316,197,451,448,416,471,436,281, 98, 48,135,170,498,136,110,
263,334,522,287,296,153,525,407,209, 33,137,288,265,181,409,325,302,
453, 27,381,183, 65,437,294,303, 68,256,327,480,454, 92,420,455, 12,
492,309,154,119,174,142,139,393,274,450,173,257,297, 75,428,358,430,
222, 6,411,237,247, 32,207,277, 45,431,456,426,312,348, 22,501,530,
157,356,168,246,479, 9,252,101, 87,299,500,483,102,214,236,350,230,
311,306,487,109,245, 61,292,113,336,394,195, 79,194,462,375,169,447,
346,361,226,122,272,466,340, 26,514,155,434, 23, 56,377,373,273, 55,
131,442,429, 69,527, 44,123,458,210, 74,133,490, 11,378, 80,310,276,
180, 58,321,386,496,262,365, 83, 84,290, 30,300,506,507,225,328, 94,
204,269), ( 1,237,161,461,106,196,252,459,391,121,272,515, 3,483,
61,288,314,149,294,104,460,155, 18,262, 33, 24,481,109,405,439,198,
463, 85,516,505,271,165,406,175,130,401,407, 35,243)( 2,194,334,484,
133,312,458,346,304,213, 92,485,392,268,367,181,446,447,464,223, 68,
293,327,374,449, 22, 57, 21,156, 13, 93,138, 14,325,403, 59,177,160,
526,132,126,493, 11,238)( 4,453,354,246,216,170,164, 88,129,103,116,
191,344,357,209,337,415, 60, 52,118,509,379, 41,260,330,399,489, 15,
313,490,127,120,482, 86,362,250, 39,476,385,486,336,146,189, 36)
( 5,159,522,378,487,218,435,215,297,157,117,199,462,429,315,311,266,
507, 82,275,289,184,169,303,524,270,338,441,162,145,321,402, 80,208,
142,387, 69, 79,236,316,442,371,307,427)( 6, 34, 10,419,529,468, 91,
9, 23,329,234, 77,375,386,404,397,278,359,425, 47,479, 20,140,203,
473,139,351,456,390, 38,231,372,143, 37,500,517, 96,267,364,369,514,
480,431,123)( 7,417, 70, 98,228, 30,498,122, 72,111, 78,115,310,220,
355,137,395,287, 67, 25,180,151, 76,508,450,420, 81,261,257,300,333,
178,141,511,345,172,323,226,227,373,421,247,451,276)( 8,190,302,414,
295,408,269,244,285,521,520,245,211,380,444,135, 56,188,176,212,478,
12,179, 97, 89,389, 75,496, 63, 17,147,502, 73,363,410,168,206,136,
350,530,182,192,152,455)( 16,348,290,467,400,376,308,144,465,340,360,
222,320,452,174,494,501,436,219,433, 66,273,309,492, 95,224,434,280,
430,335,411, 42,412,264,124,443,286,249,437,506,352,210,255,381)
( 19,158,235,519,233,491,281, 62,258,326,497,513,466,108,523,100,163,
99,148,277,353,358, 50,428,319,204, 90,470,242,383,263,166,426,438,
94,305,274,339,253,167,422,457,197,413)( 26,265,342, 44, 55,322,432,
112,150,183,477,232,331, 87,291,528,186,171,343,282,251,384,361,134,
105, 84,396,279,299, 83,214,195,365,512,527,448,239,101,240, 74,221,
292,217,254)( 27,510,225,318,388,394,409, 40, 31,201,332, 45, 71,471,
298, 54,503,256,488,296,128,341,185, 43,154, 49,393,153,370,423,418,
51,416,114,102,200,454,230,229,424,398,328,377,306)( 28,241,495, 48,
64,504,202, 58,324, 46, 53, 32,187,472,205,173,284,475,259, 65, 29,
207,347,440,193,131,518,366,317,382,119,356,110,349,525,113,125,499,
474,469,248,301,107,445) ] ],
[ 5, 296070720, 0, "2", [ [ 529, 1 ] ], 3, "PGammaL(2, 23^2)",
[ "L", [ 2, 529 ], 1 ],
[ ( 1,424,451,391)( 2,182,185,309)( 3, 25,123,486)( 4,363,168, 51)
( 5,151, 82,504)( 6,390,459, 37)( 7,178,373,490)( 8,516,418, 55)
( 9,359,356,232)( 10,117, 90,150)( 11,227,244,517)( 12, 54,337,280)
( 13,152,362,508)( 14, 43,383,292)( 15,365,329,421)( 16,130, 97,269)
( 17, 76,188,393)( 18,102,132,166)( 19,298,288, 70)( 20,483,189,170)
( 21,484,143,433)( 22,250,231,342)( 23,146, 93,135)( 24,530,314,297)
( 26,482,369,259)( 27,300,230,321)( 28,430,262,436)( 29,260,428,219)
( 30,507,385,481)( 31,450,167,492)( 32,491,216,157)( 33,528,389,179)
( 34,156, 60,511)( 35,412,366,437)( 36,372,407,469)( 38,376,184,404)
( 39,464,307, 89)( 40,257,183,247)( 41,107,367,201)( 42,191,476,275)
( 44,480,420,162)( 45,413,431,456)( 46,217,489, 66)( 47, 53,338, 75)
( 48,302,285,449)( 49,510, 91,374)( 50,325,384,509)( 52,475,495,324)
( 56,442,276,370)( 57,398,108,520)( 58,352,371,521)( 59,172,282,515)
( 61,121,379,497)( 62,211,397,301)( 63,192,198,114)( 64,271,173,119)
( 65,266,499,350)( 67,474)( 68,345,122,235)( 69,209,429,133)
( 71,462,251,295)( 72,505,169,134)( 73,274,463,333)( 74,341,101,153)
( 77,234,452,502)( 78,208,468,267)( 79,290,246,470)( 80,457,218,194)
( 81,278,305,255)( 83, 86,361,381)( 84,323,347,461)( 85,496,128,110)
( 87,213,410,237)( 88,401,229,283)( 92,493,239,256)( 94,318,426,392)
( 95,141,206,360)( 96,382,327,222)( 98,417,138,195)( 99,265,171,485)
(100,399,387,125)(103,228,293,289)(104,506,129,175)(105,513,111,279)
(106,187,126,402)(109,127,336,226)(112,408,472,332)(113,322,512,281)
(115,149,447,223)(116,264,242,273)(118,348,320,147)(120,526,176,212)
(124,403,346,443)(131,304,454,328)(136,202,344,380)(137,503,165,357)
(139,435,354,415)(140,312,258,453)(142,154,416,441)(144,240,479,330)
(145,155,317,287)(148,524,465,353)(158,249,527,498)(159,214,319,445)
(160,458,455,180)(161,405,339,197)(163,225,164,207)(174,340,500,434)
(177,210,215,296)(181,446,400,335)(186,190,233,238)(193,221,394,423)
(196,419,306,473)(199,519,291,310)(200,440,388,467)(203,466,494,488)
(204,261,529,487)(205,315,432,414)(220,514,241,311)(224,254,396,386)
(236,286,460,263)(243,253,471,522)(245,364,331,326)(248,252,438,313)
(268,425,277,299)(270,368,422,477)(272,525,411,444)(284,358,294,501)
(303,355,351,308)(316,377,334,378)(343,427,478,349)(375,523,439,409)
(395,448,406,518), ( 1,170,428,511,271, 12,459, 41,292,427,259,379,
307,241,233,331,522,105, 72,147,274,228, 88,247, 35,123,107, 81,467,
149,333,510,138,114,494, 79, 21,187, 15, 58, 99,530,478,216,295,517,
44,248)( 2, 73,356,453, 7,421, 5, 57,115, 31,280,243,162,304,192,
9,385,234, 16,106, 11,332,245, 30,330,360,268,211,163, 23,386,430,
13, 67, 76,125,303,104,290, 28,472,111,433, 61,258, 77,218,103)
( 3,118,501,373,351,136,321,354,347,387,363,246,313,504,396,361,320,
477,299, 63,357,450,524,178,401, 37,213, 70, 64,288,394, 51, 92,306,
318,371,190,474,415,445,120,212,181,509,393,480,367, 53)
( 4,479, 59,372,523, 56, 47,256,223,267,498,497,199,466,308,155,499,
429,264,161, 50,207,145,410,133,492, 65,273,257,172,142,221,287,461,
224,300,435,128,188,214,127,388,465, 18,458,529,414, 40)
( 6,180,215,253,289, 60,469,505,402,324,312,376,173,451, 27,447,119,
249,426,293,204,146, 96,108,484,350,512,520, 86,195,235, 85,452, 62,
193,407,326, 24, 82,101,454,110,322, 69,381, 90,486, 80)
( 8,503,311, 48,186,100, 46,449,392,364,109,171,513,244,281,344,464,
334, 84,355,341,314, 26,323,158,400, 66, 17,436,362,448,339,182,229,
174,434,159, 74,230,316,440,278,463,131,227,175,395,507)
( 10,526,496,423,489,380,297,129,236,476,519,325,200,409,137,403,282,
460,167,286,359, 91,291,487,279,317,374,389,160,336,455,150,116,352,
225,432,456,191,201,117,377,165,431,132,365,495,420,153)
( 14,416,217, 29,263,197,525,491,269,514,488,194,457,265,157,250,168,
242,368,506, 52,518,475,358,384,266,425,398,406, 83, 36,340,210,490,
296,143,124,441,493,315,203, 32,252,378,151,238,462,113)
( 19,521,284,482,285,134,298,121,438,348,270,411, 97, 38,283,261,164,
156,349, 94, 87,179,404,413,130,408,399, 39,222,232,471,262,219,144,
346,309,329,419,481,417,122, 68,169,422,446,206,239,166)
( 20,383,337,412, 75,443,260,254,141,176,327,437,154,208,516,424,126,
366,139,237,140,345,405,310,185,444,508,275,255,343,302,301,473,177,
95,196, 78,277,205,319,483, 93,202,183, 25, 45,294,527)
( 22,226,485,240,135,439,209,276,418, 71,468, 55, 43,370,102,272,500,
390,342, 49, 98,375,231, 34,502,152,189, 54,338,369,442,353,470,148,
328,515,220,184,528,198,305,382,397, 89,251,335,112, 42)( 33,391) ]
],
[6, Factorial(530)/2,1,"2",[[529,1]],528, "Alt(530)", ["A",530, 1], "Alt"],
[7, Factorial(530),0,"2",[[529, 1]],530, "Sym(530)", ["A",530, 1], "Sym"]];
PRIMGRP[531]:=
[[1, Factorial(531)/2,1,"2",[[530,1]],529, "Alt(531)", ["A",531, 1], "Alt"],
[2, Factorial(531),0,"2",[[530, 1]],531, "Sym(531)", ["A",531, 1], "Sym"]];
PRIMGRP[532]:=
[[1, Factorial(532)/2,1,"2",[[531,1]],530, "Alt(532)", ["A",532, 1], "Alt"],
[2, Factorial(532),0,"2",[[531, 1]],532, "Sym(532)", ["A",532, 1], "Sym"]];
PRIMGRP[533]:=
[[1, Factorial(533)/2,1,"2",[[532,1]],531, "Alt(533)", ["A",533, 1], "Alt"],
[2, Factorial(533),0,"2",[[532, 1]],533, "Sym(533)", ["A",533, 1], "Sym"]];
PRIMGRP[534]:=
[[1, Factorial(534)/2,1,"2",[[533,1]],532, "Alt(534)", ["A",534, 1], "Alt"],
[2, Factorial(534),0,"2",[[533, 1]],534, "Sym(534)", ["A",534, 1], "Sym"]];
PRIMGRP[535]:=
[[1, Factorial(535)/2,1,"2",[[534,1]],533, "Alt(535)", ["A",535, 1], "Alt"],
[2, Factorial(535),0,"2",[[534, 1]],535, "Sym(535)", ["A",535, 1], "Sym"]];
PRIMGRP[536]:=
[[1, Factorial(536)/2,1,"2",[[535,1]],534, "Alt(536)", ["A",536, 1], "Alt"],
[2, Factorial(536),0,"2",[[535, 1]],536, "Sym(536)", ["A",536, 1], "Sym"]];
PRIMGRP[537]:=
[[1, Factorial(537)/2,1,"2",[[536,1]],535, "Alt(537)", ["A",537, 1], "Alt"],
[2, Factorial(537),0,"2",[[536, 1]],537, "Sym(537)", ["A",537, 1], "Sym"]];
PRIMGRP[538]:=
[[1, Factorial(538)/2,1,"2",[[537,1]],536, "Alt(538)", ["A",538, 1], "Alt"],
[2, Factorial(538),0,"2",[[537, 1]],538, "Sym(538)", ["A",538, 1], "Sym"]];
PRIMGRP[539]:=
[[1, Factorial(539)/2,1,"2",[[538,1]],537, "Alt(539)", ["A",539, 1], "Alt"],
[2, Factorial(539),0,"2",[[538, 1]],539, "Sym(539)", ["A",539, 1], "Sym"]];
PRIMGRP[540]:=
[[ 1, 3265920, 1, "2", [ [ 224, 1 ], [ 63, 1 ], [ 252, 1 ] ], 1, "PSU(4, 3)",
[ "2A", [ 3, 3 ], 1 ],
[ ( 1,420,302,263,451,517)( 2, 90, 38,524, 12, 33)( 3,375,257,301,383,122
)( 4,178,225,315, 83,209)( 5,338, 14, 61,125,103)( 6,430,507,418,
184, 20)( 7,501,303, 9,130,193)( 8,278,261,139,505,511)
( 10,502,357,100,220,443)( 11,123,203,366, 60,424)( 13,434,283,199,
129,359)( 15,489,274, 26,134,324)( 16,465,514,404, 66, 47)
( 17,362,144, 69, 56,270)( 18, 94,200,516,106,482)( 19,488, 77,329,
57,522)( 21,231, 51,183,219, 42)( 22, 23,149,238,186, 58)
( 24,457,152,115,207,438)( 25,394,299, 98,157, 89)( 27,509,294,272,
436,536)( 28,355,538,425,369,159)( 29,433,213,380,256,452)
( 30,456,520,264,291,360)( 31,450,260,339,289,215)( 32,332,277,395,
109,432)( 34,521,518,113,196,486)( 35, 80,240, 84,194,308)
( 36,118,532,350,337,377)( 37,415,506,478,221,358)( 39,468,138,259,
503,317)( 40,508, 97)( 41,368,185,510,137,487)( 43,459,205,321,228,
449)( 44,244,258,192,273,534)( 45,340,371,165,322,540)
( 46,248,526,208,469,476)( 48,474,328,143,341,353)( 49,233,352,422,
154,293)( 50,292,370,297,316,163)( 52,440,373,314,211,280)
( 53,188,104,275,491,392)( 54,269,198,151,189,247)( 55, 79,287,174,
351,426)( 59,396,214,481,117,146)( 62, 65,279,309,437,428)
( 63,234,133,473,145,295)( 64,271,195,246,390,173)( 67,136,365,253,
325,172)( 68,376, 74, 76,408,268)( 70,354,245,378,164,419)
( 71,227, 73,181, 95,160)( 72,319,441,311,235,401)( 75,492,202,435,
93,386)( 78, 92,249,217,237,484)( 81,298,400,216,132,191)
( 82,393,513,243,496,162)( 85,537,153,374,307,448)( 86,464,470,236,
405,290)( 87,447,477,187,229,177)( 88,327,252,458,399,347)
( 91,197,345,423,462,403)( 96,161,460,242,206,388)( 99,210,276,384,
494,156)(101,356,531,305,306,385)(102,445,417,323,318,346)
(105,334,230,155,265,176)(107,483,495,239,120,204)(108,119,382,127,
343,427)(110,391,406,222,389,254)(111,398,166,170,179,131)
(112,251,515,241,180,367)(114,533,158,421,529,442)(116,519,336,363,
498,168)(121,409,411,364,454,523)(124,479,250,167,500,335)
(126,499,493,310,471,169)(128,475,535,530,312,212)(135,381,429,467,
372,349)(140,416,296,539,453,223)(141,413,304,267,313,281)
(142,232,286,282,224,201)(147,288,480,485,497,525)(148,472,431,402,
320,527)(150,285,407,326,490,342)(171,461,266,528,348,175)
(182,412,226,262,255,300)(190,284,410,397,504,344)(218,446,439)
(330,361,414)(331,387,463,466,455,444)(333,512,379),
( 1,313,239,338)( 2,374, 93,536,234,164,191, 61,483,299,311,153)
( 3, 6,442,307,359,145,110, 11,394,245,193, 7)( 4,283,495)
( 5,395,137,391,412, 69,326, 98,172,138,346,484)( 8,181,538,113,525,
180,188,382,540,148,322, 81)( 9,516, 42,284, 78,507,154, 14,149,157,
183,301)( 10,312,452,399,109,532,135, 16,210, 28,230, 32)
( 12,241, 51,513)( 13, 76, 39, 58,125,114,220,295, 55,419, 37,370)
( 15,290,387,455, 63, 53,388,494, 25,519,156, 30)( 17,196,281,478,341,
165,244,331,458,201,409,503)( 18,440,451, 83,504,140,417,397,204,468,
89,285)( 19,236,410, 27,327,393,473,169,474, 35,182,375)
( 20,325, 57,214,103,150,306,463,315,354,260,528)( 21,405,441,203)
( 22,460,265,514,323,100,400,362,253,305, 95,439)( 23,314, 99,303,255,
443,197,272,200,330,215,430)( 24,288,249, 54,124,155,342,371,386,212,
262,454)( 26,534,404,123,407,208, 88,524,376,227,291,421)
( 29,221,517, 84,350,179,287,152,271,444,297,449)( 31,198,390,333,211,
367,286,117,259,128,402,506)( 33, 47, 40,475,129,446,289,115,499,403,
396,282)( 34,427,228,160,505,240,364, 75,530,247,464,118)
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415,501,462,106,428,292,531)( 41,398,423,187,120,223,277,184, 68,373,
111,134)( 43,496,389,279,320,147,408,296,151, 64,344,171)
( 44,102,257,392)( 46,539,112,450,511,502,194,512,492,347,173,358)
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298,317,224,101,269,329, 72)( 65,434,481,363,218,302,385,335,357,229,
488,119)( 66,471,520, 74,161,426,242,237,175,378,379,424)
( 67,116,487,316)( 71,104,308,465,380,248,500,461,521,401,278,432)
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( 79,413,222,466,365,256,383,339,324,431, 87,252)( 80,199,509,219)
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168,131,127,429,425,280,523)( 90,406,133,163,185,300,537,366,263,436,
177,445)( 91,480,533,105,266,273,107,470,353,472,122,108)( 92,372)
(121,233,190,132)(126,369,422,254)(130,174,433,343)(178,293,268,435)
(195,490)(267,491,467)(337,469,527,529) ] ],
[ 2, 6531840, 0, "2", [ [ 224, 1 ], [ 63, 1 ], [ 252, 1 ] ], 1,
"PSU(4, 3).2", [ "2A", [ 3, 3 ], 1 ],
[ ( 1,512,222,479,244)( 2,403,354,270,203)( 3, 90,395,287, 92)
( 4,162, 67,262,243)( 5,478,300,163,221)( 6,111,420,230,182)
( 7,184,537, 37,322)( 8,210,302,115,105)( 9,282,387,131,288)
( 10,290,306,320,136)( 11,371, 50,373,539)( 12,408,384,327,460)
( 13,286, 96,304,436)( 14,509,422, 25,329)( 15,176,488, 88,283)
( 16,127,370,502,277)( 17,463,359,109,123)( 18,268,507,251,174)
( 19,271,273, 59,242)( 20,205,212,377,228)( 21,167,255,165,161)
( 22,192,208,455,260)( 23,357,521,454,458)( 24, 75,316,462, 93)
( 26,252,104,355,258)( 27,451,292,456,365)( 28,180,368,116, 45)
( 29,170, 60,482, 76)( 30,310,151,533,296)( 31, 43,114,186,426)
( 32,540,215,265,117)( 33,397, 58,227,201)( 34,442, 42,134,402)
( 35,519,396,516,171)( 36,362,323, 87,122)( 38,511,110,275,411)
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( 68,427,538, 70,425)( 69,308,183, 71,349)( 72,409,206,248,293)
( 73,159,340,341,139)( 77,164,393,526,337)( 79,536,345,173,267)
( 80,453,238, 89,289)( 81,486,261,483,303)( 83,447,324,487,474)
( 85,493,343,469,406)( 86,347,128,325,305)( 91,220,374,146,419)
( 94,485,169,226,145)( 95,193,410, 98,103)( 97,518,132,523,500)
(100,450,291,177,497)(101,514,430,348,185)(102,112,452,142,382)
(106,179,118,484,335)(107,254,363,154,246)(108,250,381,309,517)
(113,358,386,400,398)(121,472,350,195,513)(124,187,200,445,414)
(126,326,431,266,407)(129,294,433,276,295)(133,510,417,202,446)
(137,204,471,318,504)(138,307,496,434,506)(141,389,353,188,191)
(143,432,259,457,535)(144,443,352,466,376)(147,404,528,369,315)
(149,223,175,330,441)(150,152,263,225,508)(157,189,448,264,312)
(190,314,394,505,475)(197,380,412,499,449)(198,390,361,344,285)
(209,247,281,480,428)(211,272,331,405,378)(213,253,524,336,334)
(214,231,356,416,367)(217,529,525,467,465)(224,299,366,424,301)
(233,520,379,338,532)(240,418,241,391,257)(274,399,313,435,375)
(284,332,311,421,360)(339,498,351,346,372)(413,415,494,461,477),
( 1, 10,428,183,346,140,145,261)( 2,118,102,266,223,447,493,184)
( 3,528,299,453,419,520,509,372)( 4,238,407,394,279,144,491,421)
( 5, 11,290,540,357,107,446,339)( 6,297,226,306,393,364,222,149)
( 7,533,124,530,298,208,302,142)( 8,237,323,445,471,502, 93,451)
( 9,272, 70,123,384, 80,119,205)( 12,454,349,181,356,190, 76,141)
( 13,466,461, 58,367,320,150, 90)( 14,300,391,515,429,307,327,101)
( 15,139,168, 45,271,219,337,262)( 16, 67,425,236,380,137,178,360)
( 17,483,304,132,117,485,174, 99)( 18,103,326,197,418, 68,513,257)
( 19,427, 86,161,467,525,171,154)( 20,519,158,255,508,105,487,351)
( 21,173,463,106,303, 66,114,264)( 22,417, 37,285,522,400, 82, 94)
( 23,456, 56,371, 61, 40,212, 73)( 24,458,104,455,220,165,175,116)
( 25, 35,273,385,521,510,313,441)( 26,363,283,492,138,211,152,169)
( 27,120,352,469,177,398,128,136)( 28,433,436,329, 39,309,277,180)
( 29,381,459,468,538,311,480, 62)( 30, 32,506,100,490,350,342,422)
( 31,274,354,362,160,414,366,319)( 33,514,442,153, 74,361,353,412)
( 34,127,232,200,532,288,112,218)( 36,195,405,315,341,225,243,234)
( 38,523,328, 65,388,498,185,330)( 41,504,369,383,518,143,489,189)
( 42,387,229,192,318,440,336,227)( 43, 78,269,129,247,531,423,125)
( 44,390,214, 92,374,317,524,115)( 46,378,347,334,187,151, 55,248)
( 47,473,437,507)( 48,401,254,216,373,217,215,156)( 49,335, 77,465,
539,278,270,209)( 50,322,111,305,109, 71,122,199)( 51,146,438, 88,
420,296, 96,182)( 52,415,497,481,365, 97,345,241)( 53,213,482,221)
( 54,282,286,396,343,293,408,207)( 57, 72, 83,500,206,416,259, 75)
( 59,294,431,439,224,172,113,275)( 60,376,529,147,166,484, 87,179)
( 63,448,460,411,512, 79,268,155)( 64,324,291,470)( 69,517,131,325,
457,501,449,265)( 81,203,134,230,310,321,133,196)( 84,424,476,258,
486,198,410,260)( 85,392,231,359, 95,430,499,242)( 89,253,228,479,
432,370,382,210)( 91,276,287,402,375,126,413,526)( 98,338,284,344,
176,475,280,148)(108,333,314,527,403,452,536,377)(110,170,397,331,
537,462,308,292)(121,162,389,240,332,348,289,409)(130,281,249,194,
167,252,201,477)(135,495,494,159,251,301,435,404)(157,386,474,263,
444,505,395,191)(163,245,503,233,368,204,256,488)(164,235,379,186,
239,535,246,443)(188,478,202,193,358,464,250,511)(244,355,406,434,
426,295,534,312)(267,399,496,472,340,450,516,316) ] ],
[ 3, 6531840, 0, "2", [ [ 224, 1 ], [ 63, 1 ], [ 252, 1 ] ], 1,
"PSU(4, 3).2", [ "2A", [ 3, 3 ], 1 ],
[ ( 1, 89,511, 3,281,207,305)( 2,414, 79,189, 7,272,338)
( 4,166,493,491,515,245, 64)( 5,350, 42,507,221,340,185)
( 6,232, 63,354,342,277,143)( 8,377,389,186,210,182,250)
( 9,127,177,291,410,439,193)( 10,264,231,487,204,279, 46)
( 11,430,450,304,372, 72,282)( 12, 94,107, 62,368, 58,361)
( 13,528,522,191,485,353,289)( 14,523, 52,214,283, 96,190)
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( 30,411,144,172,293,423,484)( 32, 47,502,124,180,535,494)
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( 59,320,434,278,146,383,334)( 61,188,336,236,464,462,179)
( 66,360,412,262,220,284,531)( 67,151,208,518,213, 69,380)
( 68,315,211,533,133,388,461)( 70, 97, 82,234,331,332,324)
( 75,482,328,363,235, 85, 83)( 76,137,326,299,473,449,451)
( 84,125,183,456,524,152,130)( 87,402,109,503,303,135,330)
( 90,192,367,265,254,249,490)( 93,122,349,156,373,378,477)
( 95,218,323,105,329,194,111)(101,405,294,242,181,306,427)
(104,346,273,297,280,454,429)(108,446,145,442,369,433,362)
(118,517,252,479,138,341,147)(119,178,209,196,415,136,500)
(121,237,222,292,134,481,219)(129,345,483,205,419,356,539)
(132,153,471,375,248,167,444)(141,480,520,217,270,233,253)
(149,538,347,391,374,246,365)(154,431,381,407,317,478,309)
(158,163,307,276,492,266,187)(159,223,397,247,421,514,286)
(160,394,162,257,355,351,274)(165,239,498,352,224,385,301)
(174,358,489,418,263,432,504)(184,371,201,508,521,536,416)
(197,403,298,312,198,386,440)(200,519,302,226,357,469,259)
(212,366,505,452,406,424,488)(215,468,243,228,370,466,526)
(251,285,275,472,401,455,348),
( 1,365,296,155,286, 62)( 2,295,124,215, 77,299)( 3,412, 66,399, 19,
385)( 4,413, 47, 58,232, 76)( 5,395,324,134,289,122)
( 6,450,366, 74,527,231)( 7,441,285,177,510, 12)( 8,180,269, 64,
213,128)( 9, 26,325,152,531,367)( 10,206,220, 46,164, 45)
( 11,426,104,171,185,404)( 13,460,240,498,484,294)( 14,491,449,420,
61, 67)( 15, 29, 81,166,174, 90)( 16, 17,284)( 18, 28,400,223,361,
356)( 20,368,226,389,304,470)( 21,540,123,228,144,279)( 22,207,150)
( 23,208,346,472,363,257)( 24,187,242,310,126,147)( 25,360, 86,504,
522, 99)( 27,292,307)( 30,422,209,440, 31,323)( 32,186,452,518,181,
204)( 33,344,317,427,373,236)( 34,506,230,417,305,315)
( 35,362,316,526,158,381)( 36,343,113,354,451,274)( 37,538, 91)
( 38,318, 54,121, 95,259)( 39,237, 79,192,509,468)( 40, 53,301,330,
225, 49)( 41,473, 43,136,435,212)( 42,419,260)( 44,176,358,348,298,
347)( 48,517,351,258,407,183)( 50,322,336,467,485, 96)
( 51,142,312,210,534,487)( 52,246,195,182,342,432)( 55,465,477,264,
131,496)( 56, 84)( 57,493,507,201,508,105)( 59,410,277,536,530,418)
( 60,140,235,464,287,133)( 63,379,255)( 65,267,108,198,219,109)
( 68,190,175,445,282,145)( 69, 92,153, 85,270,116)( 70,396,372)
( 71,331,100,406,332,448)( 72,424, 83,335,488,326)( 73,539,319,466,
475,520)( 75,535, 82)( 78,414, 87,532,130,369)( 80,127,415,161,160,
103)( 88,457,390)( 89,320,302,437,254,139)( 93,345,106,244,233,384)
( 94,143,428,138,397,341)( 97,446,168,513,501,340)( 98,388,125)
(101,382,500,430,375,200)(102,243,339,511,193,327)(107,261,521,416,
275,490)(110,202,523,154,251,265)(111,433,205,222,276,262)
(112,263,218,309,391,425)(114,436,118,283,371,525)(115,512,443,355,
162,434)(117,476,272,378,442,537)(119,528,170,221,141,403)
(120,311,229,281,290,447)(129,377,429)(132,463,454,149,188,338)
(135,297,370)(137,159,300,328,499,250)(146,529,194,288,245,350)
(148,479,374)(151,157,421,461,492,497)(156,334,165,234,387,480)
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( 5,417,410,107,466)( 6, 86,100,499,538)( 7, 71,255,520,146)
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90,414,282,299,201, 52,269,268,332, 36,169,259,328,533,453)
( 30,155,523,537,291,235,430,256, 79, 34,327,526,307,345,283,449,471,
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403,207,463,467,329,394,512,404,310,417)( 38,371,393, 77,476,249,509,
229,448,378,446,157,352,213,505,346,205,459, 43,178,445,436)
( 44,162,513,410, 84,117, 54,374,204,390,113,238, 56,318,507, 67,366,
539,428,199,532, 53)( 46,397,438,504, 88,258,274,202,250,490,550,423,
491,122,391,312,416, 83,493,223,294,521)( 50,298,401,427,227, 92,278,
495,262,442,420,206,497,395,316,494,525,508,485,126,254, 87)
( 59,381, 69,128,354,547, 82,528,389,132,219,443, 99,253,333,214, 71,
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364,127,105,325,170,179,465,330,193,492)( 81,191,520,370,302,433,102,
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341,283, 57,442,330,350, 11,302,491, 7, 76,121,412,260,353,498,469,
396,279, 85,206, 37, 93,125, 12,400,226,301,112, 70,419,207,431, 21,
324,129,377,376,454, 49, 84,160,336,211,249,542,492,437,418,506,379,
293,511,425, 39,134,182,187,186,479,422, 67,523,268, 17, 72,169,388,
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315,314,460,247,374, 98, 47) ] ],
[2, Factorial(553)/2,1,"2",[[552,1]],551, "Alt(553)", ["A",553, 1], "Alt"],
[3, Factorial(553),0,"2",[[552, 1]],553, "Sym(553)", ["A",553, 1], "Sym"]];
PRIMGRP[554]:=
[[1, Factorial(554)/2,1,"2",[[553,1]],552, "Alt(554)", ["A",554, 1], "Alt"],
[2, Factorial(554),0,"2",[[553, 1]],554, "Sym(554)", ["A",554, 1], "Sym"]];
PRIMGRP[555]:=
[[1, Factorial(555)/2,1,"2",[[554,1]],553, "Alt(555)", ["A",555, 1], "Alt"],
[2, Factorial(555),0,"2",[[554, 1]],555, "Sym(555)", ["A",555, 1], "Sym"]];
PRIMGRP[556]:=
[[1, Factorial(556)/2,1,"2",[[555,1]],554, "Alt(556)", ["A",556, 1], "Alt"],
[2, Factorial(556),0,"2",[[555, 1]],556, "Sym(556)", ["A",556, 1], "Sym"]];
PRIMGRP[557]:=
[[1, Factorial(557)/2,1,"2",[[556,1]],555, "Alt(557)", ["A",557, 1], "Alt"],
[2, Factorial(557),0,"2",[[556, 1]],557, "Sym(557)", ["A",557, 1], "Sym"],
[ 3, 557, 3, "1", [ [ 1, 556 ] ], 1, "C(557)", [ "Z", 557, 1 ], [ ] ],
[ 4, 1114, 2, "1", [ [ 2, 278 ] ], 1, "D(2*557)", [ "Z", 557, 1 ],
[ [ [ Z(557)^278 ] ] ] ],
[ 5, 2228, 2, "1", [ [ 4, 139 ] ], 1, "557:4", [ "Z", 557, 1 ],
[ [ [ Z(557)^139 ] ] ] ],
[ 6, 77423, 2, "1", [ [ 139, 4 ] ], 1, "557:139", [ "Z", 557, 1 ],
[ [ [ Z(557)^4 ] ] ] ],
[ 7, 154846, 2, "1", [ [ 278, 2 ] ], 1, "557:278", [ "Z", 557, 1 ],
[ [ [ Z(557)^2 ] ] ] ],
[ 8, 309692, 2, "1", [ [ 556, 1 ] ], 2, "AGL(1, 557)", [ "Z", 557, 1 ],
[ [ [ Z(557) ] ] ] ]];
PRIMGRP[558]:=
[[ 1, 86404068, 1, "2", [ [ 557, 1 ] ], 2, "PSL(2, 557)",
[ "L", [ 2, 557 ], 1 ], "psl" ],
[ 2, 172808136, 0, "2", [ [ 557, 1 ] ], 3, "PGL(2, 557)",
[ "L", [ 2, 557 ], 1 ], "pgl" ],
[3, Factorial(558)/2,1,"2",[[557,1]],556, "Alt(558)", ["A",558, 1], "Alt"],
[4, Factorial(558),0,"2",[[557, 1]],558, "Sym(558)", ["A",558, 1], "Sym"]];
PRIMGRP[559]:=
[[1, Factorial(559)/2,1,"2",[[558,1]],557, "Alt(559)", ["A",559, 1], "Alt"],
[2, Factorial(559),0,"2",[[558, 1]],559, "Sym(559)", ["A",559, 1], "Sym"]];
PRIMGRP[560]:=
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(452,502,537,464), ( 1,454,133, 82,221,493,270)( 2,531, 99, 77,200,
285,314)( 3,343,104,407,527,317,360)( 4,113,504,358, 47,242,147)
( 5, 63,365,289,169,134, 45)( 6,282,446,167,560,397,174)
( 7,194, 20,381,103,436,239)( 8,524,275,152,218,139,279)
( 9,301,465,146,321,178,376)( 10,528,141,564, 92,485,470)
( 11,324,258,256,269,231,251)( 12,161,483,411,525,456,549)
( 13,425,136,379, 93,515,348)( 14,394,363,535,140,563, 89)
( 15,149,566,212,263,422,523)( 16,426,156,165,254,272,318)
( 17,380,175,197,277,377,453)( 18,350,421,278,431,473,450)
( 19, 57, 81,102,480,237,240)( 21,552,545,353,417,296,447)
( 22,204,539,490,509,305,462)( 23,304, 38,404,131,372,118)
( 24,121,441,497,107, 40,173)( 25,418,163,252,328,341,248)
( 26,495,487,518,400, 84,503)( 27,402,160,359,298,124,393)
( 28, 60,333, 75,284, 85,116)( 29,310,101,478,538, 79,512)
( 30,150,427,323,108,273,356)( 31, 59, 73,388,406,225,508)
( 32,452,195,265,499, 55,172)( 33,170,505, 41,382,271,306)
( 34,207,190,414,185,457,155)( 35,127,501, 54,244,153,228)
( 36,320,319,264,260,219,506)( 37,330,236,346,217,126,557)
( 39,494,530,339,213,354,216)( 42,399,143, 52,464,288,111)
( 43,384,220,215,183, 65,442)( 44,307,383, 48,293,476,262)
( 46,516,291,475,267,105,352)( 49,443,188, 71,345,412,322)
( 50,520,303,451,196,234,409)( 51, 69,369,243, 95,241, 56)
( 53,550,463,311,403, 80,387)( 58,562,142,246,430,192,202)
( 61,247,405,300,125,342,159)( 62,466,391,461,122,513,189)
( 64,280,302,511,351,249, 98)( 66,162,332,479,357,433,502)
( 67,474,492,416,370,434,491)( 68,119,184,510,448,344,144)
( 70,444, 83,331,191, 76,533)( 72,308,498,337,238,176,123)
( 74,445,250,171,138,361,128)( 78,100,110,327,253,168,199)
( 86,555,187,325,151,435,567)( 87,292,455,565,222,395,181)
( 88,396,477,374,556,179,366)( 90,198,283,362,500,164,459)
( 91,522,410,261,245,230,117)( 94,547,413,214,375,154,193)
( 96,419,226,544,297,295,338)( 97,335,532,211,232,201,364)
(106,482,428,158,551,548,486)(109,390,378,553,286,438,496)
(112,281,385,368,309,471,559)(114,398,561,386,186,145,424)
(115,210,401,255,440,316,367)(120,408,235,517,467,437,257)
(129,259,534,312,468,203,130)(132,227,489,460,541,266,554)
(135,536,347,519,166,182,299)(137,224,484,326,229,287,371)
(148,334,329,205,458,542,488)(157,420,313,336,276,423,349)
(177,449,429,340,373,540,546)(180,268,209,472,526,415,290)
(206,355,274,514,208,392,481)(223,432,439,558,469,537,529)
(233,521,389,315,294,543,507) ] ],
[ 2, 6531840, 0, "2", [ [ 320, 1 ], [ 30, 1 ], [ 96, 1 ], [ 120, 1 ] ], 1,
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[ ( 1,494,333,399,312,321,268, 69,345,316,350,258)( 2,271,514,541,152,309,
219,167,431,492,238,551)( 3,286, 74,329,115,283,527,473,466,236,378,
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( 5,515,274,102,156,221, 19, 32,255,141,459, 14)( 6,521,244, 81,266,
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( 27,293,279,564,178, 65,163,292, 53,486,262,548)( 28,140,175,130,187,
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( 89,502,489,453,230,416,396,232,372,310,480,264)( 90,503,529,449,542,
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(162,164,326,302,260,388,532,364,332,384,200,508)(180,398,202,190,512,
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( 1, 66, 32,140,535, 60)( 2,191,491,193,424, 35)( 3,432,116,552, 61,
526)( 4,434,401,488,339,354)( 5,114, 88,207,248,404)
( 6,470,319,306,403,135)( 7, 12,101,239, 78, 34)( 8,249,522,411,
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( 11,545,254, 93, 38,355)( 13,234,444, 28,279,290)( 14,173, 72,267,
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( 17,327,476,120,165,245)( 18,223,238, 79,204,162)( 19,374,246, 58,
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( 22,539,188)( 23,190,145,260,351,272)( 24,108,187,117, 25, 64)
( 26,567,170,409, 86,326)( 29,384,416,309,495,412)( 30,295,379,399,
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( 36,543,113,199, 56,557)( 37, 90,233,515, 89,208)( 40,487,212,534,
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( 44,540,105, 95,373,402)( 45,237,112,349,251,262)( 46,232,151,302,
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( 62,393,220,277,407,139)( 63,216,102,307,300,169)( 65,346,455,371,
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( 92,282,519,259,566,253)( 94,360,179,121,396,362)( 96,275,328,361,
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(122,331,546,517,273,257)(123,198,478)(127,436,348,537,229,542)
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(247,521,498,462,382,365)(250,415,318,441,356,417)(296,386)
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258,320,337,126, 42,480,375,230,380,347,511,407,367)( 17,129,260,336,
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499,200,106,282,223,256,326,492,357,387,249)( 49,121,489,502,300,228,
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( 52,333,319,424, 66,456,252,557,537,458,370,451,107,356,181,495,101,
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253,163)( 60,522,273,561,555,494,543,382,504,169,501,221,435,346,298,
412,448,383)( 61,108,194,211, 67,488,351,187,167)( 69,550,437,217,
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225,323)(128,242,324,463,552,328,254,420,338)(134,521,528,400,266,
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( 3, 60,441,539,312,306)( 4,114,318,237,415,226)( 5,207,471,383,
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( 8,390,545,365,280,565)( 9,355,164,385,398,197)( 10,255, 76, 13,
30, 79)( 11,439, 47, 15,148,341)( 12,382,510,165,125,317)
( 14,463, 20,363, 58,414)( 16,531,391,511,282,492)( 17, 65,357, 68,
430,450)( 18,375,518,371,386,519)( 19, 39,184,309,263,373)
( 21,484,515,453,530,244)( 22,372,234,313,299,478)( 23, 44,436,233,
337,222)( 24,352,251,206,364,540)( 25,416,272,446, 28,107)
( 26,322,417,104,288, 50)( 27,111,500,444,350,512)( 29,491,520,208,
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( 33, 66,151,290,506,507)( 34,116,461,367,424,150)( 35,395,217,356,
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( 38, 85,121,310, 81,525)( 40,194, 49,464,425,213)( 41,432, 74,563,
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( 52,250,144,526,474,195)( 53,267,326,377,397,380)( 54,496,408,422,
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( 59,366,153,495,330, 83)( 62,379,192,528,396,248)( 63,140,266,325,
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( 72,321,199,138,314,193)( 73,440,483,304,274,553)( 75,354,311,229,
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( 87,201,135,413,256,112)( 88,561,405,157,551,451)( 89,523,541,265,
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( 94,454,546,294,240,402)( 95,161,376,230,281,535)( 97,488,127,431,
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(120,202,466,544,178,332)(122,522,278,503,204,534)(124,264,457,460,
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(130,420,327,339,177,285)(131,504,473,358,286,455)(132,218,187,287,
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(139,180,179,532,378,527)(142,412,469,427,333,335)(143,302,429)
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(182,562,559,393,297,223)(196,249,242,253,232,394)(203,549,472,533,
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(226,228,381,317,452,378,308,435)(243,357,337,432,247,301,536,250)
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( 3, 66,308,482)( 4,370,285,520)( 5,118,123,139)( 6,487,427,283)
( 7,322,256,468)( 8,257, 31,105)( 9,122,183,305)( 10, 49,213,311)
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[ ( 1, 90,159,413, 61,336,119,526,499, 36,208,368,246,188,127,285,442,338,
563,292,393,473,230,531)( 2,570,148,389, 65,240, 99, 22,498,156,197,
56,264,116,142,501,444,194,560,244,404,137,237,435)( 3, 18,162,149,
53, 72,120,118,502,492,204,200,248,260,140,141,453,434,554,556,388,
401,233,219)( 4,402,161,221, 51, 24,114,166,485, 60,216,104,262,500,
132,213,440,242,572,124,405,449,218,555)( 5, 66,168,101, 70,504,108,
214,488,252,212,128,261,452,122,573,436,386,569,220,387, 17,234,147)
( 6,186,151,269, 58,360,107,310,489,468,206,536,241, 92,135,429,445,
314,575,508,403, 41,232,363)( 7,282,154,341, 59,312,105,478,494,540,
193, 80,255,428,133,333,455,506,571, 28,400,377,222,171)
( 8,258,164,125, 69,456, 98,574,484,396,209,224,243, 20,138,165,437,
50,576,100,406,497,228,195)( 9,474,158,533, 49, 96,111,430,493,324,
215,512,259, 44,136,381,438,170,559,268,394,353,227,291)
( 10,354,155,293, 57,480,110,550,481, 84,207,416,253,332,143,525,451,
26,568,364,390,185,223,267)( 11,306,153,461, 62,552, 97, 94,495,420,
205,320,263,524,139, 45,448,362,558,172,391,281,226,339)
( 12,210,152,245, 68,144,117,454,482,564,196,392,257,236,123, 21,450,
146,557, 52,408,113,238,483)( 13,330,167,509, 67, 48,112,382,486,180,
199,272,250,356,131,309,441,458,566,532,385, 89,231,411)
( 14,546,145, 77, 63,432,109,334,503,516,211, 32,256,380,126,189,439,
266,562,340,395,305,225,459)( 15,426,157,317, 71,528,115, 46,496,372,
198,176,247,284,130,357,443,290,561,460,398,545,217, 75)
( 16,378,150,173, 55,288,106,358,491,300,201,464,254,548,121, 93,447,
410,565,316,407,521,235, 27)( 19, 42,160,365, 54,192,103,286,490,348,
203,296,249,476,134,549,433, 74,567,412,397,329,239,507)
( 23,522,163, 29, 64,384,102,190,487,276,202,344,251,308,129,477,446,
530,553, 76,399,425,229,315)( 25, 88,375,414,181,319,287,514,355, 35,
304,369,462,182,535,265, 82,351,419,301,321,479,518,547)
( 30,184,367,270,178,343,275,298,345,467,302,537,457, 86,543,409, 85,
327,431,517,331, 47,520,379)( 31,280,370,342,179,295,273,466,350,539,
289, 81,471,422,541,313, 95,519,427, 37,328,383,510,187)
( 33,472,374,534,169, 79,279,418,349,323,311,513,475, 38,544,361, 78,
183,415,277,322,359,515,307)( 34,352,371,294,177,463,278,538,337, 83,
303,417,469,326,551,505, 91, 39,424,373,318,191,511,283)
( 40,376,366,174,175,271,274,346,347,299,297,465,470,542,529, 73, 87,
423,421,325,335,527,523, 43),
( 1, 25,433)( 2, 46,444, 3, 39,434, 22, 36,435, 15, 26,454, 12, 27,
447)( 4, 43,443, 18, 29,436, 19, 35,450, 5, 28,451, 11, 42,437)
( 6, 30,438)( 7, 31,439)( 8, 40,456, 9, 45,440, 16, 48,441, 21,
32,448, 24, 33,453)( 10, 41,446, 23, 37,442, 17, 38,455, 13, 34,449,
14, 47,445)( 20, 44,452)( 49,553,289,481,337,241,217,265,529,361,169,
193,409,313,145)( 50,574,300,483,351,242,238,276,531,375,170,214,420,
315,159)( 51,567,290,502,348,243,231,266,550,372,171,207,410,334,156)
( 52,571,299,498,341,244,235,275,546,365,172,211,419,330,149)
( 53,556,307,491,354,245,220,283,539,378,173,196,427,323,162)
( 54,558,294,486,342,246,222,270,534,366,174,198,414,318,150)
( 55,559,295,487,343,247,223,271,535,367,175,199,415,319,151)
( 56,568,312,489,357,248,232,288,537,381,176,208,432,321,165)
( 57,573,296,496,360,249,237,272,544,384,177,213,416,328,168)
( 58,569,302,503,349,250,233,278,551,373,178,209,422,335,157)
( 59,570,293,484,355,251,234,269,532,379,179,210,413,316,163)
( 60,555,303,482,358,252,219,279,530,382,180,195,423,314,166)
( 61,562,305,494,359,253,226,281,542,383,181,202,425,326,167)
( 62,575,301,490,353,254,239,277,538,377,182,215,421,322,161)
( 63,554,310,492,339,255,218,286,540,363,183,194,430,324,147)
( 64,576,297,501,344,256,240,273,549,368,184,216,417,333,152)
( 65,566,311,493,346,257,230,287,541,370,185,206,431,325,154)
( 66,557,292,499,347,258,221,268,547,371,186,197,412,331,155)
( 67,563,306,485,340,259,227,282,533,364,187,203,426,317,148)
( 68,572,308,500,356,260,236,284,548,380,188,212,428,332,164)
( 69,560,304,504,345,261,224,280,552,369,189,200,424,336,153)
( 70,564,291,495,338,262,228,267,543,362,190,204,411,327,146)
( 71,565,298,497,350,263,229,274,545,374,191,205,418,329,158)
( 72,561,309,488,352,264,225,285,536,376,192,201,429,320,160)
( 74, 94, 84, 75, 87)( 76, 91, 83, 90, 77)( 80, 88, 96, 81, 93)
( 82, 89, 86, 95, 85)( 97,505,121,385,457)( 98,526,132,387,471)
( 99,519,122,406,468)(100,523,131,402,461)(101,508,139,395,474)
(102,510,126,390,462)(103,511,127,391,463)(104,520,144,393,477)
(105,525,128,400,480)(106,521,134,407,469)(107,522,125,388,475)
(108,507,135,386,478)(109,514,137,398,479)(110,527,133,394,473)
(111,506,142,396,459)(112,528,129,405,464)(113,518,143,397,466)
(114,509,124,403,467)(115,515,138,389,460)(116,524,140,404,476)
(117,512,136,408,465)(118,516,123,399,458)(119,517,130,401,470)
(120,513,141,392,472) ] ],
[ 2, 192478109606665638469868501076483558604800000000, 0, "4c",
[ [ 529, 1 ], [ 46, 1 ] ], 1, "Alt(24) wreath Sym(2)", [ "A", 24, 2 ],
[ ( 1,353, 88,524,158,387,246, 69,480,556,362,540,495,101,239,319,282,297,
179, 46,445,128)( 2,545, 87,116,167,315,258,309,467, 28,373,132,481,
341,232,511,278,393,174, 70,456,560)( 3,257, 93,476,148,363,252,501,
461,220,367,276,489,173,238,439,272, 9,185, 94,452,152)
( 4,377, 84,500,149,219,247,285,465,172,382,444,488, 5,233, 79,284,
153,171,262,453,464)( 6, 65, 96,572,146,531,255,117,479,316,378,300,
491, 29,229,127,265,345,184,526,446,392)( 7,281, 81,188,166,435,248,
21,473, 76,380,156,483,245,237,463,268,369,180,502,437,224)
( 8, 17, 89, 92,164,147,243,261,477,460,364,372,492,485,221,223,271,
273,177,190,454,440)( 10,209, 82,212,154,195,250,213,466,196,370,204,
490,197,226,199,274,201,178,214,442,200)( 11, 41, 85,140,145,339,256,
525,470,388,366, 60,504,557,218,535,279,105,191,334,450,296)
( 12,497, 77,236,151,267,249,189,478,436,368)( 13,137, 73,356,160,507,
254,405,462, 52,384,564,482,533,231,103,287,321,186,310,443, 32)
( 14,401, 78, 68,168,555,242,549,471,100,383,324,498,293,227, 31,277,
129,169,358,448,512)( 15,113, 95,332,162,291,251, 45,469,124,361,348,
496,509,230,391,270, 57,192,574,434,536)( 16,521, 86,404,150, 51,264,
573,458,532,375,108,503,317,234,295,275, 33,181,142,433,344)
( 18,305, 83, 44,157,123,241,357,472,508,374,396,486, 53,240,559,266,
537,183,118,455,320)( 19,425, 91,428,163,411,259,429,475,412,379,420,
499,413,235,415,283,417,187,430,451,416)( 20,161, 75,260,165,459,244,
381,468,484,365,228,487,269,225,175,286,441,176, 22,449, 80)
( 23,329, 90,308,155, 27,253,141,457,340,376,516,494,389,222, 55,288,
561,170,550,447,104)( 24,569, 74,548,159, 99,263,333,474,292,371, 36,
493,125,217,343,280,513,182,406,438, 56)( 25,349,136,505,350,400,510,
62,408,558, 50,552,567, 98,551,327,114,311,323, 42,301,131)
( 26,541,135, 97,359,328,522,302,395, 30, 61,144,553,338,544,519,110,
407,318, 66,312,563)( 34,205,130,193,346,208,514,206,394,198, 58,216,
562,194,538,207,106,215,322,210,298,203)( 35, 37,133,121,337,352,520,
518,398,390, 54, 72,576,554,530,543,111,119,335,330,306,299)
( 38,397,126, 49,360,568,506,542,399,102, 71,336,570,290,539, 39,109,
143,313,354,304,515)( 40,517,134,385,342, 64,528,566,386,534, 63,120,
575,314,546,303,107, 47,325,138,289,347)( 43,421,139,409,355,424,523,
422,403,414, 67,432,571,410,547,423,115,431,331,426,307,419)
( 48,565,122,529,351,112,527,326,402,294, 59)(211,418),
( 1,329, 66,274,177,168,531,231, 79,260,141,433,320,570,266,513,158,
363,228,463,244,357,448,488,557,194,526,422,379,396,462, 4,353, 64,
490,173,216,550,423, 91,404,126)( 2,521, 62,370,180,480,532,351, 88,
500,125,193,334,426,283,393,150, 3,233, 55,250,189,456,536,567, 74,
524,134,361,324,474,268,345,160,483,221,199,262,429,451,392,558)
( 5,209, 70,418,187,408,534, 15, 89, 68,130,169,336,546,279, 81,164,
123,217,319,258,285,441,152,555,218,511,254,381,444,464,556,338,520,
494,365,204,478,412,355,400,486)( 6, 17, 65, 58,178,192,552,543, 87,
92,140,121,313,330,282,273,153,147,219,223,247,261,453,440,560,554,
506,518,374,372,468,460,340,352,496,485,197,214,430,427,403,390)
( 7,257, 69,442,176,576,530,519, 86,380,132,457,316,354,280,489,149,
195,238,415,259,405,438, 8,569, 50,514,182,384,540,471, 76,356,136,
481,317,210,286,417,163,387,222)( 9,161, 51,226,175,264,549,447, 80,
572,122,505,326,378,276,465,148,339,232,487,245,213,454,416,571,386,
510, 14,377, 60,466,172,360,544,495, 77,212,142,409,331,402,270)
( 10,185, 72,538,183, 96,548,135, 73,332,138,265,321,162,267,225,151,
243,237,439,248,573,434,512,566,362,516,470,364,348,472,484,341,208,
502,413,211,406,414, 19,401, 54)( 11, 41, 61,106,191,312,539, 39, 85,
116,143,289,323, 42,277,105,167,291,227, 31,253,117,455,296,563, 26,
517,110,383,300,467, 28,349,112,503,293,203, 46,421,115,407,294)
( 12,473, 52,346,184,504,533,207, 94,428,139,385,318, 18,281, 57,154,
171,240,535,255, 93,452,128,553,314,522,278,369,156,459,220,343,256,
501,437,200,574,410,523,398,366)( 13,113, 71,298,179, 48,541,111, 95,
308,131, 25,325,114,287,297,155, 27,229,103,263,309,443, 32,565, 98,
527,302,371, 36,469,100,359,304,491, 29,205,118,431,307,395, 30)
( 16,497, 53,202,190,432,547,399, 78, 20,137, 49,322,186,288,537,159,
75,236,127,241,333,450,272,561,146,507,230,367,252,477,436,344,568,
482,509,206,382,420,475,388,342)( 21,449, 56,562,170,528,542,375, 84,
476,124,337,328,498,269,201,166,411,235,391,246)( 22,425, 67,394,174,
24,545, 63, 82,188,144,529,327, 90,284,129,145,315,234,271,249,165,
435,224,559,242,525,446,368,564,458,508,350,376,492,461,196,358,424,
499,389,198)( 23,305, 59, 34,181,120,551,303, 83, 44,133, 97,335,306,
275, 33,157, 99,239,295,251, 45,445,104,575,290,515, 38,373,108,479,
292,347, 40,493,101,215,310,419, 43,397,102)( 35, 37,109,119,311,299)
( 47,301,107) ] ],
[ 3, 384956219213331276939737002152967117209600000000, 0, "4c",
[ [ 529, 1 ], [ 46, 1 ] ], 1, "Alt(24)^2.2^2", [ "A", 24, 2 ],
[ ( 1,322,460,111,291,481,321,412,109,339,494,129,426,229,358,398,122,450,
240,550,389, 26,440,528,539,245, 45,368,510,179,256,213,367, 54,191,
160,204,271, 67, 95,161, 12,274,475, 87,305)( 2,442,480,543,293, 25,
320,508,107,243,501,369,414,181,352,206,127, 66,239,166,396,266,451,
96,545, 5, 34,464,519,299,241,333,364,102,171,496,201,415, 61,359,
158,132,282,235, 94,401)( 3,490,465,423,301,337,326,124,114,219,502,
393,410,445,360,542,125, 42,224,526,395,242,453,384,534,173, 40,200,
511, 59,263,165,372,270,187, 88,209, 7, 58,479,159,300,265,331, 76,
113)( 4,106,459,495,297,409,325,340,110,123,498,225,430,397,338,446,
144,546,221, 46,392,506,443,264,549,365, 30,176,520,203,247, 69,383,
150,180,280,211, 79, 65, 23,154,468,279,307, 73,329)( 6,178,472,207,
295, 49,335,148,108,267,499, 81,425, 13,346,470,135,306,217,334,388,
98,435,504,537,413, 37,344,518,131,258,237,382,390,170,448,216,535,
53, 47,152,516,275,259, 93,377)( 8,514,467,255,309,361,318,172,112,
195,487, 57,431,157,348,278,139, 90,233, 22,394,458,447,312,529,317,
28,104,507,491,249,429,373,342,182,136,210,223, 70,407,146,444,288,
547, 77, 41)( 9,418,469,351,302,121,330,220,118,387,482,441,432,541,
341, 38,128,522,227,262,405,362,438,192,544,197, 31, 56,527,155,252,
285,379, 78,185, 16,202,463, 63,311,145,324,268,115, 75,497)
( 10,466,471,303,289,313,316,100, 99,483,489,417,421,349,350,134,138,
234,238,406,386,434,456,552,533, 29, 32,512,515,251,261,381,366,174,
184,208,199, 55, 71,167,156,276,283, 91, 89, 17)( 11,250,477,375,294,
169,328,196,103, 51,503,153,420,277,355, 86,137, 18,226,478,399,290,
433,336,532,101, 27,488,513,419,253,357,374,126,186,232,214,391, 50,
455,168,540,269, 43, 80,521)( 14,130,474,231,310,385,314,436,120,531,
485, 33,416,517,347,254,141,378,222,190,400,194,439, 72,551,149, 36,
272,523, 83,257, 21,370,462,183,304,193,319, 52,119,147,492,273,427,
85,353)( 15,298,457,327,292, 97,315,484,105,411,493,345,422,133,354,
230,142,402,218,454,408,530,437, 48,536,509, 35,248,525,371,246,189,
376,198,175, 64,215,151, 60,287,163, 84,281, 19, 82,473)
( 20,562,476,567,308,553,332,556,116,555,500,561,428,565,356,566,140,
570,236,574,404,554,452,576,548,557, 44,560,524,563,260,573,380,558,
188,568,212,559, 68,575,164,564,284,571, 92,569)( 24,538,461, 39,296,
505,323,244,117,363,486,177,424,205,343, 62,143,162,228,286,403, 74,
449), ( 1,533,239,482,418,470,112,515,564,285,209,148,253, 81,450,
192, 39,320,291,337,547, 71,487, 10,461,232,506,420,278,113,155,565,
93,210,172,255,321,435,360, 43, 56,295)( 2,413,230, 98,419,566,117,
203,556,261,201,436,264, 33,440,312, 25,536,311,481,538,479,496,514,
468,280,521,156,277, 89,162,181, 87,330,171,351,331, 51,343, 19, 53,
223)( 3,341,235, 50,415, 14,101,227,554,429,206,100,251,561,453,216,
28,248,297,433,552, 47,488,298,457,544,527,492,274,473,160,517, 84,
282,185,159,325, 75,354,187, 63,319)( 4,245,225,434,432, 38,104,299,
553,549,215,484,250,465,448,528, 36,272,305,145,541, 95,498,178,471,
328,507,348,283, 65,151, 13, 77,234,170,423,326, 99,347,571, 69,199)
( 5,221,218,410,422,110,107,563,573,213,196,244,249,441,456, 48, 32,
296,289,529,551,503,490,466,472,520,516,276,281,161,157, 85, 90,186,
183,327,315,339,355, 67, 55, 7)( 6,125,236,386,430,374,102,131,572,
405,214,364,246,129,452,408, 46,368,294,121,548,407,502,370,462,136,
524,396,286,377,150,133, 92,402,190,375,318,123,356,403, 70,367)
( 8,293,217,530,431,494,106,467,568,525,204,268,257,153,445, 96, 42,
176,303,313,531,359,499, 58,463, 16,509,228,266,425,158,109, 83,570,
189,207,316,243,345,451, 72, 31)( 9,437,240, 26,416,302, 97,539,575,
501,202,460,256,513,444,288, 41,152,301, 73,546,191,495,322,459,352,
523, 60,271, 17,149,229, 74,426,182,111,323,555,357,211, 52,247)
( 11,557,237,194,412,254,105,443,576, 45,200,292,241,537,455,504, 34,
464,304,505,540,287,497,154,469, 88,522,180,279,329,147,349, 91, 66,
175, 15,317,219,338,427, 62,103)( 12,269,233,146,421, 86,114,179,567,
333,195,340,259, 57,439, 24, 29,224,290,409,542,119,491,562,477,208,
508,252,273,449,168, 37, 80,306,169,543,335,483,346,475, 64,511)
( 18,173,231,314,411,350,115, 59,559, 21,197,220,242,417,446,120, 35,
560,309,193,532,263,489,442,480, 40,512,300,265,545,167,493, 82,474,
184,519,324,267,353,163, 61, 79)( 20,389,238,362,414,134,116,395,574,
381,198,124,260,393,454,384, 30,128,308,385,550,383,486,130,476,400,
526,372,270,137,164,397, 94,378,174,135,332,387,358,379, 54,127)
( 22,365,222,122,428,398,118,371,558,141,212,388,262,369,438,144, 44,
392,310,361,534,143,500,394,478,376,510,132,284,401,166,373, 78,138,
188,399,334,363,342,139, 68,391)( 23,485,226,458,424,518,108,275,569,
165,205, 76,258,177,447,336, 27,344,307, 49,535)(126,140,404,406,382,
366)(142,380,390) ] ],
[ 4, 384956219213331276939737002152967117209600000000, 0, "4c",
[ [ 529, 1 ], [ 46, 1 ] ], 1, "Alt(24)^2.4", [ "A", 24, 2 ],
[ ( 1, 91,308,515, 57,214,498,147,246,232, 26,367, 17,283,311,179, 63,574,
484,435,245,424, 45,103, 13,403,302,131, 49, 94,500,507,249,208, 42,
151, 6,235,290,371, 65,286,503,171,255,568, 28,439, 5,427,309,107,
61,406,494,123,241, 88, 44,511, 9,211,306,155, 54,238,482,363,257,
280, 47,175, 15,571,292,443, 53,430,501, 99,253,400, 38,127)
( 2,379,305,275, 71,190,495,555,244,448, 29,415, 21,115,301,395, 62,
142,481, 75,260,520, 33,199, 18,163,294,227, 50,382,497,267,263,184,
39,559, 4,451,293,419, 69,118,493,387,254,136, 25, 79, 20,523,297,
203, 66,166,486,219,242,376, 41,271, 23,187,303,563, 52,454,485,411,
261,112, 37,391, 14,139,289, 83, 68,526,489,195,258,160, 30,223)
( 3,259,304, 35, 55, 22,499,291,251, 64, 46,487)( 7, 19,307,299, 59,
70,502,483,243,256, 40, 31)( 8,475,300,323, 58,550,504,339,248,472,
36,319, 10,547,312,347, 56,478,492,315,250,544, 48,343)
( 11, 67,310,491, 51,262,496, 27,247, 16, 43,295)( 12,331,298,539, 72,
358,488,459,252,328, 34,535, 24,355,296,467, 60,334,490,531,264,352,
32,463)( 73, 92,524,513,201,210,162,150,222,218,362,377,281,287,191,
183,567,556,436,437,413,429,117,109,397,398,134,121)( 74,380,521,273,
215,186,159,558,220,434,365,425,285,119,181,399,566,124,433, 77,428,
525,105,205,402,158,126,217)( 76,452,509,417,213,114,157,390,230,122,
361, 89,284,527,177,207,570,148,438,221,410,381,113,277,407,182,135,
553)( 78,236,506,369,209,282,167,174,231,554,364,449,269,431,189,111,
565,388,446,125,409, 93,116,517,393,206,138,145)( 80,476,516,321,202,
546,168,342,224,458,372,329,274,551,192,351,560,460,444,317,418,549,
120,349,392,470,132,313, 82,548,528,345,200,474,156,318,226,530,384,
353,272,479,180,327,562,532,456,341,416,477,108,325,394,542,144,337)
( 81,212,522,153,198,234,146,366,233,266,383,185,279,575,172,447,557,
412,453,101,421,405,110,133,385, 86,140,505)( 84,332,514,537,216,354,
152,462,228,314,370,545,288,359,176,471,564,316,442,533,432,357,104,
469,396,326,130,529, 96,356,512,465,204,330,154,534,240,338,368,473,
276,335,178,543,576,340,440,461,420,333,106,541,408,350,128,457)
( 85,404,518,129,193, 90,164,510,225,194,378,161,270,239,170,375,569,
268,455,173,423,573,100,445,389,422,141, 97)( 87,572,508,441,197,426,
165,102,229,386,374,137,265, 95,188,519,561,196,450,149,414,237, 98,
373,401,278,143,169)(320,466,540,336,346,536,480,348)
(322,538,552,360,344,464,468,324),
( 1, 67,286,479,156,294,203, 18,139,265, 71,166,462,204,306,131)
( 2,355,272,455,149,390,206,114,133,361, 65,262,472, 36,295,563, 4,
427,285, 95,164,486,195,234,122,337, 56,454,461,396,302,107, 13,379,
281,263,160, 30,199,570,124,409, 69, 94,476,492,291,227)
( 3,235,266,359,152,438,197,402,134, 97, 61,382,473,252,304, 35, 7,
571,268,431,165, 78,212,498,123,217, 50,358,464,444,293,395, 14,115,
277,383,161,246,208, 42,127,553, 52,430,477, 84,308,491)
( 5,403,278,119,157,366,209,258,136, 25, 55,574,460,420,309, 83, 20,
499,267,239,146,342,200,450,125,385, 62,118,469,372,305,251, 16, 43,
271,575,148,414,213, 90,140,481, 51,238,458,348,296,443)
( 6,211,282,143,145, 54,214,474,132,289, 59, 22,475,276,311,155)
( 8,451,269,407,158,102,205,378,137,241, 64, 46,463,564,292,419, 21,
91,284,503,147,222,194,354,128,433, 53,406,470,108,301,371, 17,259,
280, 47,151,558,196,426,141, 73, 68,502,459,228,290,347)
( 9,187,279,551,154,510,216,330,129,169, 63,550,466,516,312,323)
( 10,523,288,335,153,174,207,546,130,505, 72,334,465,180,303,539)
( 11, 19,283,287,167,150,198,210,138,121, 49, 70,478,468,300,299)
( 12,307,275, 23,163,270,215,162,126,193, 66,142,457, 60,310,467)
( 15,547,274,527,168,318,201,186,135,529, 58,526,480,324,297,179)
( 24,331,273,191,159,534,202,522,144,313, 57,190,471,540,298,515)
( 26,343,560,436,413,405, 86,116,493,363,233,242,352, 32,439,557,388,
422,117, 85,380,497,243,232)( 27,223,554,340,416,453, 77,404,494, 99,
229,362,353,248,448, 29,391,566,100,421,381, 89,260,496)
( 28,415,573, 76,428,501, 75,236,482,339,224,434,341,392,446,101,397,
374,113,253,376, 41,247,568)( 31,559,556,412,429, 93, 92,500,483,219,
218,338,344,440,437,389,398,110,109,373,377,257,256, 40)
( 33,175,567,532,418,525, 96,332,489,171,231,530,346,512,456,317,393,
182,111,541,370,521,264,328)( 34,511,576,316,417,189, 87,548,490,507,
240,314,345,176,447,533,394,518,120,325,369,185,255,544)
( 37,367,569,244,424, 45, 79,572,484,411,237, 74,356,488,435,221,386,
350,104,445,365,401,254,112)( 38,103,565,364,425,261, 88, 44,487,555,
220,410,357, 80,452,485,387,230, 98,349,368,449,245,400)
( 39,535,562,508,432,333, 81,188,495,531,226,506,360,320,441,173,399,
542,106,517,384,329,249,184)( 48,319,561,172,423,549, 82,524,504,315,
225,170,351,536,442,509,408,326,105,181,375,545,250,520)
(177,183,543,538,514,528,336,321)(178,519,552,322,513,192,327,537) ]
],
[ 5, 769912438426662553879474004305934234419200000000, 0, "4c",
[ [ 529, 1 ], [ 46, 1 ] ], 1, "Sym(24) wreath Sym(2)", [ "A", 24, 2 ],
[ ( 1,393,446,246,515,348, 31,418,164,502,224,362,309,169,407, 62,244,131,
353,559,424,116,504,536,365, 21,177,455, 54,508,132, 41,562,160,118,
240,530,293)( 2,297,433,390,518,252, 35,346,151,430,236,482,296,361,
405,182,263, 59,340,127,425,572,496,104,384,549,173, 23, 57,436,126,
521,564, 40,106,168,550,221)( 3,273,451,462,507,276, 43,466,147,286,
235,458,291,265,403,470,243,275,355,463,411,284,499,464,363,285,187,
479, 51,268,139,473,555,280,115,480,531,269, 19,465,435,270,523,468,
27,274,163,478,219,266,307,457,387,278,259,467,339,271,427,476,483,
272,379,477,171,287, 67,460,123,281,571,472, 99,288,547,461)
( 4,129,449,558,520,108, 48,538,149, 22,225,434,294,505,396, 38,250,
155,358,223,410,308,481,392,374,261,179,359, 55,412,140,497,560,376,
117,192,551, 53)( 5, 9,441,438,510,516, 36, 34,154,166,238,218,290,
289,385,398,254,251,347,343,415,428,500,488,368,381,189,191, 71, 52,
124,137,569,568,112,120,552,533)( 6,513,444, 30,514,156, 46,226,146,
310,217,386,302,241,395,350,247,419,356,487,416,380,501,176,383, 69,
172,143, 65,556,136,113,576,544,101, 24,537,437)( 7,417,452,486,512,
372, 45,178,167, 70,220,122,305,553,400,110,264,539,341)
( 8,369,453,174,527, 60, 28,130,161,574,232, 98,312,529,389, 14,249,
443,342,511,420, 44,490,152,382,237,170,311, 49,388,134,257,563,352,
103,432,548,485)( 10,153,454,222,506,300, 25,394,158,262,227,338,295,
409,404,494,248,371,357,175,431, 68,484,128,377,573,184,119, 72,532,
125, 17,561,448,102,528,540, 29)( 11,345,439,414,524,492, 32,370,165,
190,239, 50,292,121,401,566,256,107,360,535,413, 20,489,440,366,525,
180, 47, 58,148,142,233,554,304, 97,408,542,245)( 12, 33,442,150,526,
228, 26,298,145,406,230,242,299,337,391,422,260,491,344,367,429,188,
503, 56,364,141,185,575, 64,100,144,545,557, 16,105,456,534,509)
( 13,201,450,318,517,204, 42,322,157,214,234,314,301,193,402,326,253,
203,354,319,421,212,498,320,373,213,186,335, 61,196,138,329,565,208,
114,336,541,197, 18,321,445,198,522,324, 37,202,162,334,229,194,306,
313,397,206,258,323,349,199,426,332,493,200,378,333,181,215, 66,316,
133,209,570,328,109,216,546,317)( 15, 81,447, 78,519, 84, 39, 82,159,
94,231, 74,303, 73,399, 86,255, 83,351, 79,423, 92,495, 80,375, 93,
183, 95, 63, 76,135, 89,567, 88,111, 96,543, 77)( 75,279, 91,471)
( 85,207, 90,327)(195,282,331,469)(205,210,330,325)(211,474,315,277)
(267,283,475,459), ( 1,390,522,326,253,208,115, 96,447,224,382,572,
468, 27,274,165,169,407, 66,316,133,209,547, 77, 15,222,526,566,252,
40,106,168,433,392,378,332,469,195,283, 93,183,239, 70,556,132, 41,
538,149)( 2,294,506,302,242,304, 98,312,434,296,362,308,458,291,266,
309,170,311, 50,292,122,305,530,293)( 3,270,525,182,263, 64,100,144,
449,536,365, 20,462,507,278,261,184,119, 72,436,128,377,548,461)
( 4,126,521,542,245, 16,102,528,446,248,376,116,480,435,272,381,188,
479, 51,268,141,185,551, 53)( 5, 6,510,518,254,256,112,120,456,440,
368,380,476,459,267,285,189,191, 71, 52,124,137,545,533)
( 7,414,515,350,247,424,107,360,439,416,371,356,463,411,275,357,175,
431, 59,340,127,425,539,341)( 8,366,524,470,243,280,117,192,455, 56,
364,140,473,531,269, 21,174,527, 62,244,136,113,552,437)
( 9,486,513,494,249,496,105,504,441,488,369,500,465,483,273,501,177,
503, 57,484,129,497,537,485)( 10,150,505,398,258,328,109,216,451, 80,
375,236,478,555,276, 45,178,167, 49,388,138,329,541,197, 19, 78,519,
230,262,568,108, 48,442,152,361,404,474,315,277,213,187, 95, 63,220,
142,569,540, 29)( 11,342,511,422,251,352,103,432,443,344,367,428,467,
339,271,429,179,359, 55,412,131,353,535,413)( 12, 30,514,158,241,400,
114,336,445,200,379, 92,471,219,286,573,180, 47, 58,148,121,401,546,
317, 13,198,523, 86,255,232,118,576,444, 32,370,164,457,387,282,333,
181,215, 67, 76,135,233,550,557)( 14,246,520,110,264,448,104,384,452,
464,363,284,477,171,287, 69,172,143, 65,532,125, 17,534,509)
( 18,318,517,206,259, 88,111,240,454,560,372, 44,466,147,265,405,186,
335, 61,196,139, 89,543,221, 22,558,516, 38,250,160, 97,408,450,320,
373,212,475, 75,279,237,190,575, 60, 28,130,161,529,389)
( 23, 54,508,134,257,544,101, 24,438,512,374,260,472, 99,288,453,176,
383, 68,460,123,281,549,173)( 25,394,162,313,397,210,331, 85,207,235,
94,567,228, 46,562,156)( 26,298,146,289,386,306,314,301,194,307, 74,
303,218,310,554,300)( 31,418,155,337,391,426,323,349,199,427, 83,351,
223,430,563,348)( 33,490,153,481,393,498,321,493,201,499, 81,495,225,
502,561,492)( 34,154,145,385,402,330,325,205,211, 91, 87,231,238,574,
564, 36)( 35,346,151,409,395,354,319,421,203,355, 79,423,227,358,559,
420)( 37,202,163, 73,399,234,334,565,204, 43, 82,159,217,406,570,324)
( 39,226,166,553,396, 42,322,157,193,403, 90,327,229,214,571, 84)
(295,410,299,338)(297,482)(343,415,419,347)(345,487,417,491) ] ],
[ 6, 73738368, 0, "4c", [ [ 529, 1 ], [ 46, 1 ] ], 1,
"PSL(2, 23) wreath Sym(2)", [ "L", [ 2, 23 ], 2 ],
[ ( 1, 73, 49,313,265,409,553,505,193,169,241)( 2, 88, 61,326,282,414,564,
511,207,179,243)( 3, 74, 64,325,278,426,558,516,199,183,251)
( 4, 95, 53,329,285,430,571,513,200,192,260)( 5, 89, 69,334,283,417,
560,528,212,172,263)( 6, 84, 55,327,275,411,554,520,205,182,258)
( 7, 87, 59,315,266,424,565,518,210,174,252)( 8, 96, 68,316,287,413,
569,525,214,187,249)( 9, 80, 72,332,268,431,557,521,213,190,259)
( 10, 82, 58,322,274,418,562,514,202,178,250)( 11, 75, 50,328,277,422,
570,510,204,175,255)( 12, 79, 63,323,267,410,568,517,206,186,246)
( 13, 86, 66,318,276,415,567,515,195,170,256)( 14, 90, 54,324,271,423,
563,507,194,184,253)( 15, 83, 51,314,280,421,566,522,198,180,247)
( 16, 85, 62,330,270,420,559,519,203,171,242)( 17, 93, 70,331,273,416,
576,524,196,191,245)( 18, 78, 60,319,279,419,555,506,208,181,254)
( 19, 81, 56,336,284,412,575,509,209,189,262)( 20, 76, 71,317,281,429,
574,523,201,176,264)( 21, 94, 67,321,272,432,572,508,215,173,257)
( 22, 91, 57,320,288,428,556,527,197,185,261)( 23, 77, 65,333,286,427,
561,512,216,188,244)( 24, 92, 52,335,269,425,573,526,211,177,248)
( 26, 40, 37, 38, 42, 30, 36, 31, 39, 35, 27)( 28, 47, 29, 41, 45, 46,
43, 33, 32, 48, 44)( 97,337,457,361,481,145,433,529,121,289,385)
( 98,352,469,374,498,150,444,535,135,299,387)( 99,338,472,373,494,162,
438,540,127,303,395)(100,359,461,377,501,166,451,537,128,312,404)
(101,353,477,382,499,153,440,552,140,292,407)(102,348,463,375,491,147,
434,544,133,302,402)(103,351,467,363,482,160,445,542,138,294,396)
(104,360,476,364,503,149,449,549,142,307,393)(105,344,480,380,484,167,
437,545,141,310,403)(106,346,466,370,490,154,442,538,130,298,394)
(107,339,458,376,493,158,450,534,132,295,399)(108,343,471,371,483,146,
448,541,134,306,390)(109,350,474,366,492,151,447,539,123,290,400)
(110,354,462,372,487,159,443,531,122,304,397)(111,347,459,362,496,157,
446,546,126,300,391)(112,349,470,378,486,156,439,543,131,291,386)
(113,357,478,379,489,152,456,548,124,311,389)(114,342,468,367,495,155,
435,530,136,301,398)(115,345,464,384,500,148,455,533,137,309,406)
(116,340,479,365,497,165,454,547,129,296,408)(117,358,475,369,488,168,
452,532,143,293,401)(118,355,465,368,504,164,436,551,125,305,405)
(119,341,473,381,502,163,441,536,144,308,388)(120,356,460,383,485,161,
453,550,139,297,392)(218,232,229,230,234,222,228,223,231,227,219)
(220,239,221,233,237,238,235,225,224,240,236),
( 1,290,192,446, 27,261,489,228,203,161,428,378,341, 82,319,534,133,
406,280,575,519,100,464, 67)( 2,170,182, 38, 45,501,492,204,209,425,
426,354,346,322,318,126,142,286,287,527,508,460,475, 19)
( 3,242,177,230, 35,165,500,372,197, 89,415,546,349,394,328,558,135,
118,272, 71,505,292,480,451)( 4,458,187, 14, 26,189,494, 36,213,497,
420,210,353,418,330,342,130,334,270,143,526,268,479,523)
( 5, 74,175,542, 37,405,496,564,207,113,416, 66,337,298,336,438,123,
262,273,239,515,148,476,379)( 6,122,190,278, 47,525,484,468,211, 17,
410,186,350, 34,333,486,132,214,281,431,522,340,466,331)
( 7,530,181,398, 40,573,495,108,200, 65,409,306,360,442,315,246,129,
238,275,167,524,364,461, 91)( 8, 50,169,302, 48,453,483,252,201,233,
419,162,356,370,317, 78,127,550,277,407,520,556,471,115)
( 9,218,179,158, 44,381,485, 84,199,545,421,402,352,562,327,102,128,
70,265,311,528,436,459,259)( 10,314,174,134, 46,285,503,516,196,473,
427, 18,338,178,326, 30,141,502,276,215,521,412,474,355)
( 11,146,188,374, 29, 93,487,540,205,401,424,570,351,106,320, 54,121,
310,288,455,507,244,465,235)( 12,194,185,422, 42,357,490,324,198,137,
430,282,359,514,316,462,139, 22,266,191,518, 28,477,499)
( 13,386,184,566, 39,117,488, 60,193,305,432,450,339,250,321,222,131,
166,284,383,509, 76,463,547)( 15, 98,176, 62, 25,309,504,444,195,257,
417,234,347,154,332,366,125, 94,271,551,517,388,472,571)
( 16,554,183,110, 32, 69,481,300,216,449,411,258,345,226,323,150,140,
382,269, 95,511,532,469,403)( 20,362,173, 86, 31,549,493,396,208,569,
423,114,344, 58,313,294,144,454,267,263,513,220,467,163)
( 21,482,180,206, 41,429,498,348,202,329,414,138,358,274,335,510,124,
478,283, 23,506,172,470, 43)( 24,434,171,254, 33,237,491,156,212,377,
413, 90,343,538,325,390,136,574,279,119,512, 52,457,307)
( 49,289,312,456,435,243,249,225,227,155,164,380,365, 77, 79,535,541,
397,400,568,567,111,104, 56)( 51,241,297,240,443,147,260,369,221, 83,
151,548,373,389, 88,559,543,109,392, 64,553,303,120,440)
( 53, 73,295,552,445,387,256,561,231,107,152, 68,361,293, 96,439,531,
253,393,232,563,159,116,368)( 55,529,301,408,448,555,255,105,224, 59,
145,308,384,437, 75,247,537,229,395,160,572,375,101, 80)
( 57,217,299,168,452,363,245, 81,223,539,157,404,376,557, 87,103,536,
61,385,304,576,447, 99,248)( 63, 97,296, 72,433,291,264,441,219,251,
153,236,371,149, 92,367,533, 85,391,544,565,399,112,560) ] ],
[ 7, 147476736, 0, "4c", [ [ 529, 1 ], [ 46, 1 ] ], 1, "PSL(2, 23)^2.2^2",
[ "L", [ 2, 23 ], 2 ],
[ ( 1,330,476,527,444,301,153, 62,250,203,504,363, 77, 46,223,135,558,410,
357,401,536,280)( 2,354,473,551,448, 13,162,470,263,443,493,147, 86,
262,227,495,555, 74,358,233,543,568)( 3, 90,478,239,447,565,146,350,
257,539,496)( 4,186,460,191,436,181,148,182,244,179,484,171, 76,190,
220,183,556,170,340,185,532,184)( 5, 42,463,143,438,421,165,398,248,
275,481,315, 92,526,228,303,561, 50,346,209,552,376)( 6,426,477,407,
440,277,145,326,260,515,492,291, 81, 70,226,207,576,362,341, 41,535,
136)( 7,138,462,431,453,397,152,278,241,323,500,507, 84,310,225, 63,
562,194,360,377,533, 40)( 8,282,457,335,452,517,156,302,249, 59,490,
195, 96,382,221, 39,559,122,342,425,549,400)( 9, 66,466,215,456,373,
149, 38,247,131,486,411, 93,406,224,279,553,314,356,521,540,304)
( 10,210,480,383,437, 37,151,134,246,419,501,387, 80,286,217,327,572,
506,348,305,537, 64)( 11,498,459, 95,454,229,159,566,242,347,497,531,
88, 22,234,471,575,434,349,161,542,256)( 12,306,465, 71,442,205,168,
374,245, 35,487,123, 78,430,237,399,560,266,337,329,548,520)
( 14,258,467,503,435, 85,166,230,255,563,482,339, 89,550,232, 15,570,
458,359,449,541,160)( 16, 18,474,479,455,445,157,158,254,251,491,483,
75, 94,238,231,567,554,338,353,545,544)( 17,546,472, 23,450,469,167,
446,253,155,494,243, 83,502,219, 87,574,218,351,569,530,352)
( 19,114,475,119,451,109,163,110,259,107,499, 99, 91,118,235,111,571,
98,355,113,547,112)( 20,522,468,311,441, 61,154,206,264,371,485, 27,
79,142,222,423,573,386,344,281,529,328)( 21,402,464,287,433,325,164,
518,252,299,489, 51, 82,214,240,375,557, 26,343,137,534,424)
( 24,378,461, 47,439,133,150,422,261,395,488,267, 73,334,236,519,564,
290,345, 65,538,208)( 25,319,140,510,420,309,393, 56,274,193,336,380,
509, 36,295,129, 54,418,213,408,368,269)( 28,175,124,174,412,189,388,
176,268,169,316,188,508,180,292,177, 52,178,196,192,364,173)
( 29, 31,127,126,414,429,405,392,272,265,313,332,524,516,300,297, 57,
58,202,216,384,365)( 30,415,141,390,416,285,385,320,284,505,324,308,
513, 60,298,201, 72,370,197, 48,367,125)( 32,271,121,318,428,525,396,
296,273, 49,322,212,528,372,293, 33, 55,130,198,432,381,389)
( 34,199,144,366,413, 45,391,128,270,409,333,404,512,276,289,321, 68,
514,204,312,369, 53)( 43,103,139,102,427,117,403,104,283, 97,331,116,
523,108,307,105, 67,106,211,120,379,101)( 44,511,132,294,417, 69,394,
200,288,361,317)(100,187),
( 1,392,487,454,266,551, 36,110,361,200,151,262, 50,239,564,302,505,
176,319,478,122,359, 84,422)( 2,407,492,446,265,536, 31,118,362,215,
156,254, 49,224,559,310,506,191,324,470,121,344, 79,430)
( 3,393,495,450,277,549, 29,120,363,201,159,258, 61,237,557,312,507,
177,327,474,133,357, 77,432)( 4,390,499,448,284,539, 34,113,364,198,
163,256, 68,227,562,305,508,174,331,472,140,347, 82,425)
( 5,408,483,441,279,546, 37,117,365,216,147,249, 63,234,565,309,509,
192,315,465,135,354, 85,429)( 6,403,496,452,275,538, 41,100,366,211,
160,260, 59,226,569,292,510,187,328,476,131,346, 89,412)
( 7,406,482,455,276,542, 25,104,367,214,146,263, 60,230,553,296,511,
190,314,479,132,350, 73,416)( 8,391,502,434,287,540, 38, 97,368,199,
166,242, 71,228,566,289,512,175,334,458,143,348, 86,409)
( 9,399,498,445,285,533, 48, 99,369,207,162,253, 69,221,576,291,513,
183,330,469,141,341, 96,411)( 10,401,484,438,283,544, 44,107,370,209,
148,246, 67,232,572,299,514,185,316,462,139,352, 92,419)
( 11,394,497,436,270,547, 40,116,371,202,161,244, 54,235,568,308,515,
178,329,460,126,355, 88,428)( 12,398,481,440,271,550, 26,119,372,206,
145,248, 55,238,554,311,516,182,313,464,127,358, 74,431)
( 13,405,485,456,267,537, 39,114,373,213,149,264, 51,225,567,306,517,
189,317,480,123,345, 87,426)( 14,385,488,439,286,530, 47,108,374,193,
152,247, 70,218,575,300,518,169,320,463,142,338, 95,420)
( 15,402,493,453,269,552, 27,105,375,210,157,261, 53,240,555,297,519,
186,325,477,125,360, 75,417)( 16,404,491,442,281,532, 30,115,376,212,
155,250, 65,220,558,307,520,188,323,466,137,340, 78,427)
( 17,388,486,451,280,548, 35,106,377,196,150,259, 64,236,563,298,521,
172,318,475,136,356, 83,418)( 18,397,501,437,288,531, 33,111,378,205,
165,245, 72,219,561,303,522,181,333,461,144,339, 81,423)
( 19,400,500,443,274,545, 28,102,379,208,164,251, 58,233,556,294,523,
184,332,467,130,353, 76,414)( 20,395,490,449,268,534, 43,112,380,203,
154,257, 52,222,571,304,524,179,322,473,124,342, 91,424)
( 21,389,504,435,273,543, 42,109,381,197,168,243, 57,231,570,301,525,
173,336,459,129,351, 90,421)( 22,386,503,444,278,529, 32,103,382,194,
167,252, 62,217,560,295,526,170,335,468,134,337, 80,415)
( 23,396,494,433,272,535, 46, 98,383,204,158,241, 56,223,574,290,527,
180,326,457,128,343, 94,410)( 24,387,489,447,282,541, 45,101,384,195,
153,255, 66,229,573,293,528,171,321,471,138,349, 93,413) ] ],
[ 8, 147476736, 0, "4c", [ [ 529, 1 ], [ 46, 1 ] ], 1, "PSL(2, 23)^2.4",
[ "L", [ 2, 23 ], 2 ],
[ ( 1,461,175, 71,131,118,145,245,391,503,539,526)( 2,470,174, 56,132,111,
146,254,390,488,540,519)( 3,476,187, 64,144,105,147,260,403,496,552,
513)( 4,469,189, 66,137,106,148,253,405,498,545,514)
( 5,463,191, 59,142, 97,149,247,407,491,550,505)( 6,464,180, 63,122,
110,150,248,396,495,530,518)( 7,479,179, 70,121,101,151,263,395,502,
529,509)( 8,468,183, 50,134,102,152,252,399,482,542,510)
( 9,459,188, 67,136,120,153,243,404,499,544,528)( 10,460,181, 69,138,
113,154,244,397,501,546,521)( 11,478,169, 53,127,119,155,262,385,485,
535,527)( 12,471,170, 62,126,104,156,255,386,494,534,512)
( 13,477,186, 65,130,100,157,261,402,497,538,508)( 14,462,176, 60,135,
98,158,246,392,492,543,506)( 15,458,182, 54,128,108,159,242,398,486,
536,516)( 16,480,177, 51,140,115,160,264,393,483,548,523)
( 17,466,172, 61,141,114,161,250,388,493,549,522)( 18,473,178, 52,133,
117,162,257,394,484,541,525)( 19,472,192, 57,123,116,163,256,408,489,
531,524)( 20,475,184, 72,129, 99,164,259,400,504,537,507)
( 21,474,185, 58,124,109,165,258,401,490,532,517)( 22,457,173, 55,143,
107,166,241,389,487,551,515)( 23,467,190, 49,125,103,167,251,406,481,
533,511)( 24,465,171, 68,139,112,168,249,387,500,547,520)
( 25,413,367,311,203,574,313, 77,439,359,275,238)( 26,422,366,296,204,
567,314, 86,438,344,276,231)( 27,428,379,304,216,561,315, 92,451,352,
288,225)( 28,421,381,306,209,562,316, 85,453,354,281,226)
( 29,415,383,299,214,553,317, 79,455,347,286,217)( 30,416,372,303,194,
566,318, 80,444,351,266,230)( 31,431,371,310,193,557,319, 95,443,358,
265,221)( 32,420,375,290,206,558,320, 84,447,338,278,222)
( 33,411,380,307,208,576,321, 75,452,355,280,240)( 34,412,373,309,210,
569,322, 76,445,357,282,233)( 35,430,361,293,199,575,323, 94,433,341,
271,239)( 36,423,362,302,198,560,324, 87,434,350,270,224)
( 37,429,378,305,202,556,325, 93,450,353,274,220)( 38,414,368,300,207,
554,326, 78,440,348,279,218)( 39,410,374,294,200,564,327, 74,446,342,
272,228)( 40,432,369,291,212,571,328, 96,441,339,284,235)
( 41,418,364,301,213,570,329, 82,436,349,285,234)( 42,425,370,292,205,
573,330, 89,442,340,277,237)( 43,424,384,297,195,572,331, 88,456,345,
267,236)( 44,427,376,312,201,555,332, 91,448,360,273,219)
( 45,426,377,298,196,565,333, 90,449,346,268,229)( 46,409,365,295,215,
563,334, 73,437,343,287,227)( 47,419,382,289,197,559,335, 83,454,337,
269,223)( 48,417,363,308,211,568,336, 81,435,356,283,232),
( 1,428,575,391,204,313,427,455,400,276,316,523,442,304,266, 28,509,
226,296,242, 48,341,222,488,258, 72,351,150,502,186, 59,375,153,118,
171,467,374,129,109,531,473, 86,141, 13,548,569, 79,213)
( 2, 44,557,223,200,241,432,359,390,492,330, 67,447,160,286,172,515,
370,297, 98, 27,461,230,128,253,552,353, 78,501, 18, 68,567,151,214,
169,419,383,393,108,315,475,446,136,277,532,521, 82,309)
( 3,476,566,127,205,529,425, 95,405, 12,332,571,439,208,265,412,527,
394,300,314, 43,437,232,272,244,528,346,294,482, 42, 53,231,152,262,
192,347,366,489,114, 51,471,158,142,181,539,377, 81,117)
( 4,524,562,295,194, 25,413,239,392,252,336,355,438,496,282, 52,519,
154,310,170, 35,365,225,104,243,480,350,126,493,546, 65, 87,165, 22,
188,563,367,201, 97,411,479,398,132,325,547,449, 88,285)
( 5,236,560,247,216,337,414,503,402, 60,327,163,454,184,275,364,513,
106,291,458, 38,125,229,536,257, 96,357, 6,500,570, 55,207,145,430,
191,395,372,321,115,435,472,278,124,517,538,305, 74, 45)
( 7,212,553,415,215,385,420,335,403,444,328,283,436,520,274,292,506,
34,293,218, 32,245,240,344,246,504,354, 54,495,162, 70,183,155,382,
177,107,363,465,110,123,469,542,137, 85,549, 17, 92,573)
( 8,260,576,343,198,481,426, 71,399,156,334,187,443,376,273,100,507,
466,302,122, 37,533,233, 80,261, 24,356,558,487,210, 49,423,167,406,
180,323,379,441,112,267,460,518,130,301,530, 41, 77,237)
( 9,116,555,463,206,121,421,551,401, 84,333, 19,452,568,271,196,505,
418,311,386, 36,317,235,440,256,288,340,510,490,306, 50, 39,149,238,
176,251,384,345,102,483,474, 62,135,157,550,185, 83,381)
( 10,308,554, 31,197,217,416,263,408,348,318,499,450, 64,279,148,526,
178,299,362, 33,101,219,464,254,144,349,534,497, 90, 69, 15,164,574,
175,203,361,417,119,387,468,326,139,445,544,281, 76,525)
( 11,380,561,103,195,457,422,143,397,540,329, 91,453, 16,284,556,511,
202,289,410, 47,389,228,320,259,456,352,270,484,522, 58,303,146, 46,
173,227,368,249,120,339,462,494,138, 61,543,161, 94,189)
( 14,140,565,535,209, 73,429, 23,404,564,319,211,433,424,287,388,516,
322,307,434, 40,269,220,512,250,312,338, 30,485,234, 56,255,168,358,
174,491,378, 57,111,147,478,182,131,373,537,113, 75,477)
( 20,572,559,199,193,409,431,407,396,324,331,451,448,280,268,508,514,
298,290, 26, 29,221,224,248,264,360,342,486,498, 66, 63,159,166,190,
179,371,369,105, 99,459,470,134,133,541,545, 89, 93, 21) ] ],
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[ ( 1,276,176,315,202, 85,149,369,103,455,134,508,310,231,405,570,552, 41,
467,409,280,344,318,490, 74, 5,372,175,435,206,517,166,225,117,575,
144, 28,299,423,400,354,534,497,458)( 2, 12,180,171,195,205,157,153,
105,119,143,124,292,303,399,402,546,545,473,457,265,272,320,322, 82,
77,365,367,439,446,518,526,238,237,573,576, 48, 35,419,424,352,342,
486,482)( 3,204,181,147,201,109,167,129,100,311,135,388,306,543,401,
474,529,281,464,313,274, 80,317,370, 79,437,374,511,454,230,525,574,
240, 45,563,432, 40,347,414,496,338, 6,492,170)( 4,300,183,387,210,
541,161,465, 97,287,128,316,298, 87,389,378,535,449,470,505,286,224,
333,562, 96, 29,371,415,448,350,510,502,218, 21,564,192, 27,203,421,
160,345,102,503,122)( 7,444,182,507,214,229,165,561,120, 47,131,412,
304,351,390,498,530, 17,468,169,267,200,325,154, 81,101,383,127,436,
302,519,406,234,549,569,480, 25,275,416,328,346, 78,485,362)
( 8,324,178, 75,197,373,151,441,110,527,142,220,309,567,408, 42,539,
425,472,337,270,488,314, 10, 84,173,363,199,445,158,513,118,239,141,
556,312, 39,395,426,544,353,462,481,266)( 9,108,191,123,196,301,159,
393,114,551,137,460,289,279,392,330,538, 89,461,361,271,440,326,514,
94,221,381,559,456, 38,515,430,232,357,558,504, 26, 11,420,184,339,
198,493,146)( 13,156,177, 99,215,133,148,297,111,407,138,532,305,471,
385,282,536,329,466, 73,269,368,319,442, 86,509,382,223,453,566,528,
46,227,429,568,360, 30,491,410, 16,348,174,483,194)( 14,516,190,219,
213,565,168, 33,107,431,136,340,294,495,386, 18,540,185,459,193,277,
152,321,106, 95,125,364,295,447,398,522,550,233,477,553,288, 32,323,
418, 88,341,366,487,434)( 15,396,186,531,209,469,145,273,104,335,130,
76,293,375,391,450,542,521,478,217,285,560,336, 34, 83,413,376,343,
438,494,506, 22,228,189,555,216, 37,155,417,112,359,126,484,290)
( 19, 60,187, 51,211, 61,163, 57,115, 71,139, 52,307, 63,403, 66,547,
65,475, 49,283, 56,331, 58, 91, 53,379, 55,451, 62,523, 70,235, 69,
571, 72, 43, 59,427, 64,355, 54,499, 50)( 20,252,188,243,212,253,164,
249,116,263,140,244,308,255,404,258,548,257,476,241,284,248,332,250,
92,245,380,247,452,254,524,262,236,261,572,264, 44,251,428,256,356,
246,500,242)( 23,132,172,291,207,397,162,537,113,479,121,268,296,327,
394, 90,533,377,463,433,278,512,334,226, 93,557,384, 31,443,422,520,
358,222,501,554, 24, 36,179,411,208,349,150,489, 98)( 68,259),
( 1, 40,210, 14, 47,195, 8, 33,212, 10, 48,203, 12, 41,213, 6, 26,
196, 19, 31,207, 22, 29,205)( 2, 28,211, 7, 39,214, 5, 37,193, 16,
42,206, 23, 27,200, 9, 44,202, 24, 35,204, 17, 45,198)
( 3, 32,201, 20, 34,216, 11, 36,209, 21, 30,194, 4, 43,199, 15, 46,
197, 13, 25,208, 18, 38,215)( 49,160,378, 62,167,363, 56,153,380, 58,
168,371, 60,161,381, 54,146,364, 67,151,375, 70,149,373)
( 50,148,379, 55,159,382, 53,157,361, 64,162,374, 71,147,368, 57,164,
370, 72,155,372, 65,165,366)( 51,152,369, 68,154,384, 59,156,377, 69,
150,362, 52,163,367, 63,166,365, 61,145,376, 66,158,383)
( 73,544,306, 86,551,291, 80,537,308, 82,552,299, 84,545,309, 78,530,
292, 91,535,303, 94,533,301)( 74,532,307, 79,543,310, 77,541,289, 88,
546,302, 95,531,296, 81,548,298, 96,539,300, 89,549,294)
( 75,536,297, 92,538,312, 83,540,305, 93,534,290, 76,547,295, 87,550,
293, 85,529,304, 90,542,311)( 97,328,426,110,335,411,104,321,428,106,
336,419,108,329,429,102,314,412,115,319,423,118,317,421)
( 98,316,427,103,327,430,101,325,409,112,330,422,119,315,416,105,332,
418,120,323,420,113,333,414)( 99,320,417,116,322,432,107,324,425,117,
318,410,100,331,415,111,334,413,109,313,424,114,326,431)
(121,256,570,134,263,555,128,249,572,130,264,563,132,257,573,126,242,
556,139,247,567,142,245,565)(122,244,571,127,255,574,125,253,553,136,
258,566,143,243,560,129,260,562,144,251,564,137,261,558)
(123,248,561,140,250,576,131,252,569,141,246,554,124,259,559,135,262,
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528,395,180,521,405,174,506,388,187,511,399,190,509,397)
(170,508,403,175,519,406,173,517,385,184,522,398,191,507,392,177,524,
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510,386,172,523,391,183,526,389,181,505,400,186,518,407)
(217,352,498,230,359,483,224,345,500,226,360,491,228,353,501,222,338,
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354,494,239,339,488,225,356,490,240,347,492,233,357,486)
(219,344,489,236,346,504,227,348,497,237,342,482,220,355,487,231,358,
485,229,337,496,234,350,503)(265,448,474,278,455,459,272,441,476,274,
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(266,436,475,271,447,478,269,445,457,280,450,470,287,435,464,273,452,
466,288,443,468,281,453,462)(267,440,465,284,442,480,275,444,473,285,
438,458,268,451,463,279,454,461,277,433,472,282,446,479) ] ],
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PRIMGRP[581]:=
[[1, Factorial(581)/2,1,"2",[[580,1]],579, "Alt(581)", ["A",581, 1], "Alt"],
[2, Factorial(581),0,"2",[[580, 1]],581, "Sym(581)", ["A",581, 1], "Sym"]];
PRIMGRP[582]:=
[[1, Factorial(582)/2,1,"2",[[581,1]],580, "Alt(582)", ["A",582, 1], "Alt"],
[2, Factorial(582),0,"2",[[581, 1]],582, "Sym(582)", ["A",582, 1], "Sym"]];
PRIMGRP[583]:=
[[1, Factorial(583)/2,1,"2",[[582,1]],581, "Alt(583)", ["A",583, 1], "Alt"],
[2, Factorial(583),0,"2",[[582, 1]],583, "Sym(583)", ["A",583, 1], "Sym"]];
PRIMGRP[584]:=
[[1, Factorial(584)/2,1,"2",[[583,1]],582, "Alt(584)", ["A",584, 1], "Alt"],
[2, Factorial(584),0,"2",[[583, 1]],584, "Sym(584)", ["A",584, 1], "Sym"]];
PRIMGRP[585]:=
[[ 1, 1056706560, 1, "2", [ [ 72, 1 ], [ 512, 1 ] ], 1, "PSp(4, 2^3)",
[ "B", [ 2, 8 ], 1 ],
[ ( 5,209,160,565,123,537, 81)( 6, 64,104,433,517, 68,231)
( 7,460,376,118,174,224, 47)( 8,542,142,296, 90,561, 97)
( 9,454, 54,473,208,505,500)( 10,201,141,204,556,439,351)
( 12,190,176,495,280,554,533)( 14, 92,354,480,474,450,365)
( 15,490, 33,569,361,389,414)( 16,346,368,407,538,163,251)
( 17,409,332,108,306,265,249)( 18, 74,492,124,276,434,360)
( 19,518,347,400,584,476,375)( 20,126, 76,436,498,278,362)
( 21,557,377,520,349,478,402)( 22,558,378,521,350,479,403)
( 23, 55,144, 50,326,137,343)( 24,397,255,183,509, 59,328)
( 25, 28,380,419,263,550,358)( 26,406,196,244,259,256, 65)
( 27,169,100,268,381,540,416)( 29,374, 44,396,566,435, 41)
( 30,391,300,107,253,548,230)( 31,567,387,530,359,488,412)
( 32,261,133, 57,241,243,212)( 34,481,458,335,528,258,232)
( 35,385,382,322,370,130,152)( 36,222,220,568,154,112,240)
( 37,398,114,539,307,237,260)( 38,577,132,314,125, 43,331)
( 39,103,371, 60, 94,267, 93)( 40,294,394,545,182,113,429)
( 42,171, 95,299,250, 70,213)( 45,329,470,168,238,486,527)
( 46,483,170,384,162,315,242)( 48,581,185,202,499,467,448)
( 49,297,441,364,338,564,140)( 51,383, 72,105,106,115,293)
( 52,477,198,245,336,493,560)( 53,461,425,363,289,205,421)
( 56,210,507,456,502,475,193)( 58,153,405,214,408,345,393)
( 61,388,317,444,145,219,277)( 62,229,102,431, 66,173,515)
( 63,221,319,283,390,446,147)( 67,576,195,146,551,109,523)
( 69,179,525,578,197,111,148)( 71,264,355,579,194,512,217)
( 73,451,485,392, 87,484,430)( 75,417,491,333,181,549,131)
( 77,246,504,352,302,139,135)( 78,186,562,120,206,157,188)
( 79,158,563,535,187,121,207)( 80,353,468,543,342,462,438)
( 82,580, 89,288,585,271,134)( 83,156,324,472,437,225,337)
( 84,536,136,582, 91,273,290)( 85,463,404,506,497,442, 99)
( 86,235,116,410,110,575,313)( 88,211,529,513,372,570,234)
( 96,531,519,340,301,471,184)( 98,128,422,325,122,247,203)
(101,164,399,149,516,161,311)(117,510,571,415,165,180,327)
(119,127,453,341,199,440,272)(129,583,544,522,192,427,339)
(138,155,447,541,420,401,452)(143,200,426,226,159,303,449)
(150,167,432,459,464,546,413)(151,574,526,334,239,356,395)
(166,262,411,286,292,489,367)(172,305,312,511,357,223,218)
(178,379,501,304,298,423,274)(215,270,457,236,443,269,547)
(216,254,482,309,318,275,308)(227,282,248,291,469,559,455)
(228,321,266,287,508,330,320)(233,284,373,252,366,572,418)
(257,386,310,514,465,285,428)(295,424,348,552,503,323,466)
(316,445,369,573,524,344,487),
( 1,296,281, 4, 2)( 3,558,279,280,102)( 5,547,536,391, 83)
( 6,508,194,251, 76)( 7,490,262,329,145)( 8,454,431,533,230)
( 9,406,349,569,171)( 10,418, 84,131, 79)( 11,139,443,496,350)
( 12,210,542,468,229)( 13,403,175, 48, 63)( 14,331,369,583,224)
( 15,486,123,436,265)( 16,459,231,126,257)( 17,392,537,304,260)
( 18,214, 35,397,209)( 19,358,381,506,172)( 20,578,546,580, 47)
( 21, 99, 70, 91,261)( 22,494,337,293,177)( 23,207,516,284,422)
( 24,407,509,433,514)( 25,573,579,498,141)( 26, 97,247, 62,495)
( 27,204,235,584,394)( 28,198,434,386,238)( 29,206, 57, 53,512)
( 30,467,370,115,473)( 31,483,111,451,560)( 32,324,276,457,500)
( 33,124,130,511,481)( 34,439, 85,108,445)( 36,310,485,414,419)
( 37,401,146,248,355)( 38,519,462, 56,453)( 39,572, 49,151,121)
( 40,165,362,410,567)( 41,555,521,532,563)( 42, 98,253,478,218)
( 43,372,576,125,309)( 44,505, 50,425,249)( 45,315,348,327,458)
( 46,240,192,551,409)( 51,426,244,499,380)( 52,313,264,182,466)
( 54,549,504,552,221)( 55,437,539,236,438)( 58,307,497,129,480)
( 59,366,200,133,187)( 60,435,338,239,461)( 61,577,178,489,237)
( 64,223,404,163,332)( 65,158,387,252,353)( 66,190,144, 90,290)
( 67,566,449,502,421)( 68,399,492,346,160)( 69,213,562,475,402)
( 71,463,336,345,183)( 72,136,456,448,544)( 73,311,413,530,556)
( 74,288,116,245,294)( 75,272,493,340,159)( 77,267,390,441,526)
( 78,417,225,585,215)( 80,243,135,170,319)( 81,220,347,571,100)
( 82,487,447,134,559)( 86,291,545,306,420)( 87,270,128,193,156)
( 88,408,148,216,351)( 89,228,295,150,305)( 92,446,582,326,246)
( 93,250,297,574,557)( 94,269,364,334,472)( 95,543,333,520,174)
( 96,325,241,341,428)(101,312,321,423,361)(103,301,140,395,199)
(104,484,254,538,234)(105,120,343,185,316)(106,203,491,202,278)
(107,127,168,184,186)(109,271,328,118,217)(110,385,429,322,424)
(112,396,342,548,205)(113,389,460,575,430)(114,527,525,201,323)
(117,197,568,376,314)(119,298,471,273,196)(122,256,289,266,374)
(132,357,180,488,152)(137,377,393,299,143)(138,540,227,470,375)
(142,226,173,176,212)(147,157,259,352,432)(149,455,464,474,155)
(153,452,384,282,179)(154,167,367,503,277)(161,541,501,469,344)
(162,164,523,550,442)(166,330,219,359,287)(169,274,232,400,465)
(181,561,188,515,554)(189,440,233,534,479)(191,378,553,363,531)
(195,318,360,513,335)(208,507,535,415,373)(211,477,427,308,524)
(222,268,522,382,518)(242,368,292,517,388)(255,510,482,258,570)
(263,286,275,317,529)(283,303,300,302,528)(285,450,320,405,379)
(339,444,398,412,411)(354,416,365,565,476)(356,581,371,383,564) ] ],
[ 2, 3170119680, 0, "2", [ [ 72, 1 ], [ 512, 1 ] ], 1, "PSp(4, 2^3):3",
[ "B", [ 2, 8 ], 1 ],
[ ( 5,209,160,565,123,537, 81)( 6, 64,104,433,517, 68,231)
( 7,460,376,118,174,224, 47)( 8,542,142,296, 90,561, 97)
( 9,454, 54,473,208,505,500)( 10,201,141,204,556,439,351)
( 12,190,176,495,280,554,533)( 14, 92,354,480,474,450,365)
( 15,490, 33,569,361,389,414)( 16,346,368,407,538,163,251)
( 17,409,332,108,306,265,249)( 18, 74,492,124,276,434,360)
( 19,518,347,400,584,476,375)( 20,126, 76,436,498,278,362)
( 21,557,377,520,349,478,402)( 22,558,378,521,350,479,403)
( 23, 55,144, 50,326,137,343)( 24,397,255,183,509, 59,328)
( 25, 28,380,419,263,550,358)( 26,406,196,244,259,256, 65)
( 27,169,100,268,381,540,416)( 29,374, 44,396,566,435, 41)
( 30,391,300,107,253,548,230)( 31,567,387,530,359,488,412)
( 32,261,133, 57,241,243,212)( 34,481,458,335,528,258,232)
( 35,385,382,322,370,130,152)( 36,222,220,568,154,112,240)
( 37,398,114,539,307,237,260)( 38,577,132,314,125, 43,331)
( 39,103,371, 60, 94,267, 93)( 40,294,394,545,182,113,429)
( 42,171, 95,299,250, 70,213)( 45,329,470,168,238,486,527)
( 46,483,170,384,162,315,242)( 48,581,185,202,499,467,448)
( 49,297,441,364,338,564,140)( 51,383, 72,105,106,115,293)
( 52,477,198,245,336,493,560)( 53,461,425,363,289,205,421)
( 56,210,507,456,502,475,193)( 58,153,405,214,408,345,393)
( 61,388,317,444,145,219,277)( 62,229,102,431, 66,173,515)
( 63,221,319,283,390,446,147)( 67,576,195,146,551,109,523)
( 69,179,525,578,197,111,148)( 71,264,355,579,194,512,217)
( 73,451,485,392, 87,484,430)( 75,417,491,333,181,549,131)
( 77,246,504,352,302,139,135)( 78,186,562,120,206,157,188)
( 79,158,563,535,187,121,207)( 80,353,468,543,342,462,438)
( 82,580, 89,288,585,271,134)( 83,156,324,472,437,225,337)
( 84,536,136,582, 91,273,290)( 85,463,404,506,497,442, 99)
( 86,235,116,410,110,575,313)( 88,211,529,513,372,570,234)
( 96,531,519,340,301,471,184)( 98,128,422,325,122,247,203)
(101,164,399,149,516,161,311)(117,510,571,415,165,180,327)
(119,127,453,341,199,440,272)(129,583,544,522,192,427,339)
(138,155,447,541,420,401,452)(143,200,426,226,159,303,449)
(150,167,432,459,464,546,413)(151,574,526,334,239,356,395)
(166,262,411,286,292,489,367)(172,305,312,511,357,223,218)
(178,379,501,304,298,423,274)(215,270,457,236,443,269,547)
(216,254,482,309,318,275,308)(227,282,248,291,469,559,455)
(228,321,266,287,508,330,320)(233,284,373,252,366,572,418)
(257,386,310,514,465,285,428)(295,424,348,552,503,323,466)
(316,445,369,573,524,344,487),
( 1,296,281, 4, 2)( 3,558,279,280,102)( 5,547,536,391, 83)
( 6,508,194,251, 76)( 7,490,262,329,145)( 8,454,431,533,230)
( 9,406,349,569,171)( 10,418, 84,131, 79)( 11,139,443,496,350)
( 12,210,542,468,229)( 13,403,175, 48, 63)( 14,331,369,583,224)
( 15,486,123,436,265)( 16,459,231,126,257)( 17,392,537,304,260)
( 18,214, 35,397,209)( 19,358,381,506,172)( 20,578,546,580, 47)
( 21, 99, 70, 91,261)( 22,494,337,293,177)( 23,207,516,284,422)
( 24,407,509,433,514)( 25,573,579,498,141)( 26, 97,247, 62,495)
( 27,204,235,584,394)( 28,198,434,386,238)( 29,206, 57, 53,512)
( 30,467,370,115,473)( 31,483,111,451,560)( 32,324,276,457,500)
( 33,124,130,511,481)( 34,439, 85,108,445)( 36,310,485,414,419)
( 37,401,146,248,355)( 38,519,462, 56,453)( 39,572, 49,151,121)
( 40,165,362,410,567)( 41,555,521,532,563)( 42, 98,253,478,218)
( 43,372,576,125,309)( 44,505, 50,425,249)( 45,315,348,327,458)
( 46,240,192,551,409)( 51,426,244,499,380)( 52,313,264,182,466)
( 54,549,504,552,221)( 55,437,539,236,438)( 58,307,497,129,480)
( 59,366,200,133,187)( 60,435,338,239,461)( 61,577,178,489,237)
( 64,223,404,163,332)( 65,158,387,252,353)( 66,190,144, 90,290)
( 67,566,449,502,421)( 68,399,492,346,160)( 69,213,562,475,402)
( 71,463,336,345,183)( 72,136,456,448,544)( 73,311,413,530,556)
( 74,288,116,245,294)( 75,272,493,340,159)( 77,267,390,441,526)
( 78,417,225,585,215)( 80,243,135,170,319)( 81,220,347,571,100)
( 82,487,447,134,559)( 86,291,545,306,420)( 87,270,128,193,156)
( 88,408,148,216,351)( 89,228,295,150,305)( 92,446,582,326,246)
( 93,250,297,574,557)( 94,269,364,334,472)( 95,543,333,520,174)
( 96,325,241,341,428)(101,312,321,423,361)(103,301,140,395,199)
(104,484,254,538,234)(105,120,343,185,316)(106,203,491,202,278)
(107,127,168,184,186)(109,271,328,118,217)(110,385,429,322,424)
(112,396,342,548,205)(113,389,460,575,430)(114,527,525,201,323)
(117,197,568,376,314)(119,298,471,273,196)(122,256,289,266,374)
(132,357,180,488,152)(137,377,393,299,143)(138,540,227,470,375)
(142,226,173,176,212)(147,157,259,352,432)(149,455,464,474,155)
(153,452,384,282,179)(154,167,367,503,277)(161,541,501,469,344)
(162,164,523,550,442)(166,330,219,359,287)(169,274,232,400,465)
(181,561,188,515,554)(189,440,233,534,479)(191,378,553,363,531)
(195,318,360,513,335)(208,507,535,415,373)(211,477,427,308,524)
(222,268,522,382,518)(242,368,292,517,388)(255,510,482,258,570)
(263,286,275,317,529)(283,303,300,302,528)(285,450,320,405,379)
(339,444,398,412,411)(354,416,365,565,476)(356,581,371,383,564),
( 5,316,552)( 6,570, 61)( 7,223,408)( 8, 90,561)( 9, 91,562)
( 10,168,249)( 11,494,175)( 12,495,176)( 13,496,177)( 14, 89, 35)
( 15, 85,525)( 16,318,411)( 17,141, 45)( 18,583,150)( 19,452,575)
( 20,481,307)( 21,402,349)( 22,403,350)( 23, 75,548)( 24,125,287)
( 25,315,392)( 26,212,210)( 27,227,545)( 28, 46, 73)( 29,373,471)
( 30,326,417)( 31,310,523)( 32,456,259)( 33,497,578)( 34,114,436)
( 36,164,560)( 37,362,232)( 38,266, 59)( 39,103, 60)( 40,169,248)
( 41,233,531)( 42,299, 95)( 43,330,509)( 44,418,184)( 47,511, 58)
( 48,139,337)( 49,140,338)( 50,131,107)( 51,319,270)( 52,220,161)
( 53,535,119)( 54,536,120)( 55,491,300)( 56,256,133)( 57,507,196)
( 62,173,229)( 63,443,293)( 64, 88,145)( 65,241,502)( 66,515,431)
( 67,387,428)( 68,211,277)( 69,569, 99)( 70,213,171)( 71,117,423)
( 72,147,457)( 74,522,464)( 76,258,237)( 77,472,581)( 78,473,582)
( 79,127,425)( 80,128,426)( 81,344,466)( 82,322,365)( 83,185,504)
( 84,186,505)( 86,584,138)( 87,380,170)( 92,585,370)( 94,371,267)
( 96,566,252)( 97,142,542)( 98,143,543)(100,469,182)(101,336,568)
(104,529,388)(105,221,547)(106,283,236)(108,201,486)(109,488,285)
(110,476,447)(111,414,442)(112,516,493)(113,381,282)(115,446,215)
(116,518,155)(118,357,405)(121,199,461)(122,200,462)(123,445,323)
(124,129,546)(126,335,398)(130,480,580)(132,320,328)(134,385,354)
(135,156,499)(136,157,500)(137,333,253)(144,181,230)(146,567,465)
(148,490,404)(149,245,222)(151,395,239)(152,450,271)(153,460,172)
(154,399,477)(158,341,421)(159,342,422)(160,524,503)(162,451,419)
(163,216,262)(165,274,355)(166,407,309)(167,492,427)(174,218,393)
(178,194,510)(179,389,506)(180,379,217)(183,314,321)(187,453,289)
(188,454,290)(189,553,532)(190,554,533)(191,555,534)(192,413,434)
(193,244,243)(195,412,257)(197,361,463)(198,240,311)(202,302,437)
(203,303,438)(204,470,306)(205,207,272)(206,208,273)(209,369,295)
(214,224,305)(219,433,372)(225,467,246)(226,468,247)(228,397,331)
(231,513,444)(234,317,517)(235,375,420)(238,409,556)(242,484,263)
(251,482,489)(254,286,368)(255,577,508)(260,498,458)(261,475,406)
(264,571,501)(265,439,527)(268,455,294)(269,383,390)(275,292,538)
(276,544,432)(278,528,539)(284,340,396)(288,382,474)(291,394,540)
(298,512,415)(301,435,572)(304,579,327)(308,367,346)(312,345,376)
(313,347,541)(324,448,352)(325,449,353)(329,332,351)(334,356,526)
(339,459,360)(343,549,391)(348,537,573)(358,384,430)(359,514,576)
(363,563,440)(364,564,441)(366,519,374)(377,520,478)(378,521,479)
(386,551,530)(400,401,410)(416,559,429)(424,565,487)(483,485,550) ] ],
[ 3, 34558531338240, 1, "2", [ [ 584, 1 ] ], 2, "PSL(4, 2^3)",
[ "L", [ 4, 8 ], 1 ],
[ ( 5, 34,223,374,329,130,220)( 6,317,171,545,268,211,248)
( 7,351, 52,436,519,580,552)( 8,440,421,225,187,352,581)
( 9,473,500, 54,505,454,208)( 10,477,498,340, 89,503,460)
( 11,189,175,494,279,553,532)( 12,495,533,176,554,190,280)
( 14,153,399,284,524,249,260)( 15,387,178, 28,508,106,459)
( 16,538,346,163,368,251,407)( 17, 37, 92,405,149,373,344)
( 18,483,463,183,257,390,512)( 19,584,518,476,347,375,400)
( 20,184,271,295,174,204,336)( 21,349,557,478,377,402,520)
( 22,521,403,378,479,558,350)( 23, 32,259,102, 75,548,456)
( 24,465,221,355,276,315,442)( 25,287,105,432,414,567,274)
( 26,173,333,391,193, 50, 57)( 27,570,455,517,277, 70, 40)
( 29, 45,370,222, 81,232,357)( 30,475,144,133, 65, 66,491)
( 31,423,358,266, 72,167,389)( 33,359,501,419,320,293,546)
( 35,154,160,458,172,396,168)( 36,537,258,511, 41,527,322)
( 38,427,523,430,457,179,117)( 39, 94,103,267,371, 93, 60)
( 42,394,100, 88,282,231,388)( 43,522,551, 87,215,148,180)
( 44,470,152,568,209,481,218)( 46, 85,255,428,283,194,360)
( 47,439,560, 76,531, 82,348)( 48, 97,199,205,437,535,504)
( 49,364,140,441,564,297,338)( 51,413,569,488,304,263,228)
( 53,337,121,302,185,542,272)( 55,261,256,431,417,230,502)
( 56,326,241,406,515,181,300)( 58,164,233,573,265,237,365)
( 59,310,147, 71,492,384,506)( 61,213,294,169,234,227, 68)
( 62,549,107,210,137,243,196)( 63,264,124,162,497,328,514)
( 64,444, 95,182,381,529,291)( 67, 73,236,525,510,577,339)
( 69,327,331,192,109,484,270)( 74,170,404,509,386,446,217)
( 77,467, 90,453,363,324,158)( 78,120,188,562,157,186,206)
( 79,135,499,296,127,425,156)( 80,543,438,468,462,353,342)
( 83,207,139,202,142,119,461)( 84,582,290,136,273,536, 91)
( 86,110,235,575,116,313,410)( 96,134,424,224,556,493,126)
( 98,325,203,422,247,128,122)( 99,397,285,319,579,434,242)
(101,418,369,306,307,450,393)(104,145,299,113,540,513,469)
(108,539,474,345,311,572,445)(111,165,125,544,146,392,547)
(112,565,335,305,566,238,385)(114,480,408,161,366,316,332)
(115,464,490,530,379,380,330)(118,141,245,362,471,585,466)
(123,528,312,435,486,382,240)(129,576,451,443,578,571,132)
(131,253,507,343,212,244,229)(138,420,155,401,447,452,541)
(143,226,449,426,303,200,159)(150,361,412,298,550,321,383)
(151,239,574,356,526,395,334)(166,292,262,489,411,367,286)
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(214,516,252,487,409,398,354)(216,318,254,275,482,308,309)
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489, 77, 5,533,518,269, 22,459, 73,477,576,280,485,264,303,413,159,
522,364,418,252,313,409,186,443, 83,127,129, 25,310,176,519,358,203,
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237,252,268,284,301,318,336,353,371,388,406,423,441,458,476,493,504,
510,525,539,551,562,571,579,585,590,593,595)(169,182,195,209,223,238,
253,269,285,302,319,337,354,372,389,407,424,442,459,477,494,511,468,
486,503,520,534,547,558,568,576,583,588,592,594)(196,210,224,239,254,
270,286,303,320,338,355,373,390,408,425,443,460,478,495,512,526,432,
450,467,485,502,519,533,546,557,567,575,582,587,591)(225,240,255,271,
287,304,321,339,356,374,391,409,426,444,461,479,496,513,527,540,396,
414,431,449,466,484,501,518,532,545,556,566,574,581,586)
(256,272,288,305,322,340,357,375,392,410,427,445,462,480,497,514,528,
541,552,360,378,395,413,430,448,465,483,500,517,531,544,555,565,573,
580)(289,306,323,341,358,376,393,411,428,446,463,481,498,515,529,542,
553,563,324,342,359,377,394,412,429,447,464,482,499,516,530,543,554,
564,572), ( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)
( 56, 64)( 72, 81)( 90,100)(110,121)(132,144)(156,169)(182,196)
(210,225)(240,256)(272,289)(306,324)(307,325)(326,343)(342,360)
(344,362)(363,380)(378,396)(381,399)(400,417)(414,432)(418,436)
(437,454)(450,468)(455,473)(474,491)(486,504)(492,510) ] ],
[3, Factorial(595)/2,1,"2",[[594,1]],593, "Alt(595)", ["A",595, 1], "Alt"],
[4, Factorial(595),0,"2",[[594, 1]],595, "Sym(595)", ["A",595, 1], "Sym"]];
PRIMGRP[596]:=
[[1, Factorial(596)/2,1,"2",[[595,1]],594, "Alt(596)", ["A",596, 1], "Alt"],
[2, Factorial(596),0,"2",[[595, 1]],596, "Sym(596)", ["A",596, 1], "Sym"]];
PRIMGRP[597]:=
[[1, Factorial(597)/2,1,"2",[[596,1]],595, "Alt(597)", ["A",597, 1], "Alt"],
[2, Factorial(597),0,"2",[[596, 1]],597, "Sym(597)", ["A",597, 1], "Sym"]];
PRIMGRP[598]:=
[[1, Factorial(598)/2,1,"2",[[597,1]],596, "Alt(598)", ["A",598, 1], "Alt"],
[2, Factorial(598),0,"2",[[597, 1]],598, "Sym(598)", ["A",598, 1], "Sym"]];
PRIMGRP[599]:=
[[1, Factorial(599)/2,1,"2",[[598,1]],597, "Alt(599)", ["A",599, 1], "Alt"],
[2, Factorial(599),0,"2",[[598, 1]],599, "Sym(599)", ["A",599, 1], "Sym"],
[ 3, 599, 3, "1", [ [ 1, 598 ] ], 1, "C(599)", [ "Z", 599, 1 ], [ ] ],
[ 4, 1198, 2, "1", [ [ 2, 299 ] ], 1, "D(2*599)", [ "Z", 599, 1 ],
[ [ [ Z(599)^299 ] ] ] ],
[ 5, 7787, 2, "1", [ [ 13, 46 ] ], 1, "599:13", [ "Z", 599, 1 ],
[ [ [ Z(599)^46 ] ] ] ],
[ 6, 13777, 2, "1", [ [ 23, 26 ] ], 1, "599:23", [ "Z", 599, 1 ],
[ [ [ Z(599)^26 ] ] ] ],
[ 7, 15574, 2, "1", [ [ 26, 23 ] ], 1, "599:26", [ "Z", 599, 1 ],
[ [ [ Z(599)^23 ] ] ] ],
[ 8, 27554, 2, "1", [ [ 46, 13 ] ], 1, "599:46", [ "Z", 599, 1 ],
[ [ [ Z(599)^13 ] ] ] ],
[ 9, 179101, 2, "1", [ [ 299, 2 ] ], 1, "599:299", [ "Z", 599, 1 ],
[ [ [ Z(599)^2 ] ] ] ],
[ 10, 358202, 2, "1", [ [ 598, 1 ] ], 2, "AGL(1, 599)", [ "Z", 599, 1 ],
[ [ [ Z(599) ] ] ] ]];
PRIMGRP[600]:=
[[ 1, 107460600, 1, "2", [ [ 599, 1 ] ], 2, "PSL(2, 599)",
[ "L", [ 2, 599 ], 1 ], "psl" ],
[ 2, 214921200, 0, "2", [ [ 599, 1 ] ], 3, "PGL(2, 599)",
[ "L", [ 2, 599 ], 1 ], "pgl" ],
[3, Factorial(600)/2,1,"2",[[599,1]],598, "Alt(600)", ["A",600, 1], "Alt"],
[4, Factorial(600),0,"2",[[599, 1]],600, "Sym(600)", ["A",600, 1], "Sym"]];