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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
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( 3, 59,174,229,219,306,280,166,256,142,221, 86)( 5,235,115,162,194,
286,133,282,296, 63,249,112)( 6, 88,232, 87, 39,152,141,308, 54, 10,
191, 58)( 7,227,185,121, 82,101,119, 73,158,228, 81,167)
( 8,211, 60, 61, 56,195, 30,207,260, 15,145, 80)( 9,184,291,113)
( 11,278,304,103, 26,305,136,208, 29,246,124,192)( 12, 92,311,277, 91,
239, 90, 45,129,233, 57, 93)( 13, 89,214,140,159,293, 31,310,215, 35,
223,274)( 14, 64,240,268,294, 28,100,234,209, 67,201, 52)
( 16,176,242,254,164,182,265,283,312,266,157,224)( 17,300,163,281,126,
275,187, 34,190, 96,301,172)( 18,106,263,114,255,196,314,259,108, 36,
289,270)( 19, 49,298,295)( 20,272,220, 77)( 21,299,216,285)
( 22,128,241,251,173, 40,186, 38, 69, 94,171,262)( 23, 46,284,302)
( 24,257,247,222,105,315, 70,292,102,177, 37,288)( 25,125,130,206,261,
156,181,109,204, 99,127,117)( 27, 72, 41,197,210,230,213,116,178,135,
287,271)( 32,169,218,151)( 33, 51,188,180,161,134,144,290,253,252,
269, 55)( 43,237, 84,313)( 44,122,236, 74,244, 75,238,110,231,131,
276,148)( 47,154,139,297, 53,179,199, 65,189, 66, 50,149)
( 48,111,175,309)( 62,245,205,243,250,118,258,153,150,303,279,165)
( 68, 79,168,226,225,267,160,120,143,155, 95,147)( 71,200,264,193)
( 78,107,217)( 98,273)(132,248,198)(138,202,146,203) ] ],
[4, Factorial(315)/2,1,"2",[[314,1]],313, "Alt(315)", ["A",315, 1], "Alt"],
[5, Factorial(315),0,"2",[[314, 1]],315, "Sym(315)", ["A",315, 1], "Sym"]];
PRIMGRP[316]:=
[[1, Factorial(316)/2,1,"2",[[315,1]],314, "Alt(316)", ["A",316, 1], "Alt"],
[2, Factorial(316),0,"2",[[315, 1]],316, "Sym(316)", ["A",316, 1], "Sym"]];
PRIMGRP[317]:=
[[1, Factorial(317)/2,1,"2",[[316,1]],315, "Alt(317)", ["A",317, 1], "Alt"],
[2, Factorial(317),0,"2",[[316, 1]],317, "Sym(317)", ["A",317, 1], "Sym"],
[ 3, 317, 3, "1", [ [ 1, 316 ] ], 1, "C(317)", [ "Z", 317, 1 ], [ ] ],
[ 4, 634, 2, "1", [ [ 2, 158 ] ], 1, "D(2*317)", [ "Z", 317, 1 ],
[ [ [ Z(317)^158 ] ] ] ],
[ 5, 1268, 2, "1", [ [ 4, 79 ] ], 1, "317:4", [ "Z", 317, 1 ],
[ [ [ Z(317)^79 ] ] ] ],
[ 6, 25043, 2, "1", [ [ 79, 4 ] ], 1, "317:79", [ "Z", 317, 1 ],
[ [ [ Z(317)^4 ] ] ] ],
[ 7, 50086, 2, "1", [ [ 158, 2 ] ], 1, "317:158", [ "Z", 317, 1 ],
[ [ [ Z(317)^2 ] ] ] ],
[ 8, 100172, 2, "1", [ [ 316, 1 ] ], 2, "AGL(1, 317)", [ "Z", 317, 1 ],
[ [ [ Z(317) ] ] ] ]];
PRIMGRP[318]:=
[[ 1, 15927348, 1, "2", [ [ 317, 1 ] ], 2, "PSL(2, 317)",
[ "L", [ 2, 317 ], 1 ], "psl" ],
[ 2, 31854696, 0, "2", [ [ 317, 1 ] ], 3, "PGL(2, 317)",
[ "L", [ 2, 317 ], 1 ], "pgl" ],
[3, Factorial(318)/2,1,"2",[[317,1]],316, "Alt(318)", ["A",318, 1], "Alt"],
[4, Factorial(318),0,"2",[[317, 1]],318, "Sym(318)", ["A",318, 1], "Sym"]];
PRIMGRP[319]:=
[[1, Factorial(319)/2,1,"2",[[318,1]],317, "Alt(319)", ["A",319, 1], "Alt"],
[2, Factorial(319),0,"2",[[318, 1]],319, "Sym(319)", ["A",319, 1], "Sym"]];
PRIMGRP[320]:=
[[1, Factorial(320)/2,1,"2",[[319,1]],318, "Alt(320)", ["A",320, 1], "Alt"],
[2, Factorial(320),0,"2",[[319, 1]],320, "Sym(320)", ["A",320, 1], "Sym"]];
PRIMGRP[321]:=
[[1, Factorial(321)/2,1,"2",[[320,1]],319, "Alt(321)", ["A",321, 1], "Alt"],
[2, Factorial(321),0,"2",[[320, 1]],321, "Sym(321)", ["A",321, 1], "Sym"]];
PRIMGRP[322]:=
[[1, Factorial(322)/2,1,"2",[[321,1]],320, "Alt(322)", ["A",322, 1], "Alt"],
[2, Factorial(322),0,"2",[[321, 1]],322, "Sym(322)", ["A",322, 1], "Sym"]];
PRIMGRP[323]:=
[[1, Factorial(323)/2,1,"2",[[322,1]],321, "Alt(323)", ["A",323, 1], "Alt"],
[2, Factorial(323),0,"2",[[322, 1]],323, "Sym(323)", ["A",323, 1], "Sym"]];
PRIMGRP[324]:=
[[ 1, 20495194533898641570004992000000, 0, "4c", [ [ 34, 1 ], [ 289, 1 ] ], 1,
"Alt(18) wreath Sym(2)", [ "A", 18, 2 ],
[ ( 1,172,288, 43, 62,148,232,194, 77,309,213,269,294,109,171,144, 49, 98,
155, 16,190,275,313, 69,256,222,122, 81,129,211,107,299)
( 2,244,282, 25, 56,238,228, 32, 74,237,210, 35,290,235,174, 36, 38,
242,156, 34,182,239,318, 33,254,240,120, 27,128,247,102, 29)
( 3,208,287,295, 55,166,234, 50, 80,147,214,197,293,307,177,270, 42,
116,153,142,193, 95,317, 15,262,276,115, 63,130,229,104, 83)
( 4,226,284, 79, 57,202,233,302, 73,165,216, 53,296,145,178,198, 41,
314,159,268,186,113,315,141,265, 96,119, 9,136,283, 97, 65)
( 5,316,285,259, 60,112,225,140, 85, 93,209, 17,298,271,169, 72, 40,
224,158, 88,183,203,323,303,253,168,126, 45,134,157,106,191)
( 6,118,279,133, 67, 94,227, 14, 82,273,205, 71,292,217,176, 90, 39,
206,161,304,181,167,324, 51,260,150,124,189,131,319,105,263)
( 7, 64,274,223, 68, 76,219,212, 89,291,199,179,306, 37,170,162, 52,
188,149,322,195,257,312,123,261,132,121, 99,137, 13,100,281)
( 8,154,286,187, 59,310,231,266, 78,111,207,143,301, 91,173, 18, 46,
278,151, 70,184,221,320, 87,255,204,125,297,127,175,108, 47)
( 10,280,277, 61, 58,220,230, 86, 75,201,215,305,289,163,180, 54, 44,
152,160,196,185,311,321,267,258,114,117,135,139,103,101, 11)
( 12, 28,272,241, 66, 22,218,248, 84, 21,200,251,300, 19,164,252, 48,
26,146,250,192, 23,308,249,264, 24,110,243,138, 31, 92,245)
( 20,236,246, 30), ( 1, 20, 87,175,302,279,181, 35,141,170, 68,286)
( 2, 74, 85,301,297,189,197,143,134, 62, 70, 16)( 3, 38, 75, 49,291,
45,183, 53,129, 44, 57, 52)( 4, 92, 76,103,292, 99,184,107,130, 98,
58,106)( 5,218, 82,157,300,207,191,125,131,224, 64,160, 12,200, 83,
121,293,225,190,161,138,206, 65,124)( 6,308, 79,265,306,243,186,323,
133,260, 72,250)( 7,254, 90,247,294,315,187,269,144,242, 60,322)
( 8, 56, 88, 13,290, 81,193,305,135,188, 71,142)( 9,182, 89,139,296,
63,196, 17,128, 80, 67,304)( 10,146, 84,211,299,117,185,233,136,152,
66,214, 11,110, 77,229,298,153,192,215,137,116, 59,232)
( 14,272, 73, 31,303,171,194,287,127, 26, 69,178)( 15,164, 86,283,289,
27,195,179,140,278, 55, 34)( 18,236, 78,319,295,261,198,251,132,314,
61,268)( 19, 33,177,176,284,271)( 21, 51,165, 50,273, 37)
( 22,105,166,104,274, 91)( 23,231,172,158,282,199, 29,123,167,230,280,
145, 30,213,173,122,275,217, 28,159,174,212,281,109)( 24,321,169,266,
288,235)( 25,267,180,248,276,307)( 32,285,163)( 36,249,168,320,277,
253)( 40, 93)( 41,219, 46,147, 48,201, 47,111)( 42,309, 43,255, 54,
237)( 95,220,100,148,102,202,101,112)( 96,310, 97,256,108,238)
(113,221,226,154,156,210,209,119)(114,311,223,262,162,246,204,317,115,
257,234,244,150,318,205,263,126,239,222,316,151,264,216,245)
(118,149,228,208,155,120,203,227)(240,312,313,259,270,252)
(241,258,324) ] ],
[ 2, 40990389067797283140009984000000, 0, "4c", [ [ 34, 1 ], [ 289, 1 ] ], 1,
"Alt(18)^2.2^2", [ "A", 18, 2 ],
[ ( 1, 10)( 2, 11, 4, 3, 18, 16, 12, 14, 15, 7, 8)( 5, 9)( 13, 17)
( 19, 28)( 20, 29, 22, 21, 36, 34, 30, 32, 33, 25, 26)( 23, 27)
( 31, 35)( 37,262,145, 46,253,154)( 38,263,148, 39,270,160, 48,266,
159, 43,260,146, 47,256,147, 54,268,156, 50,267,151, 44,254,155, 40,
255,162, 52,264,158, 51,259,152)( 41,261,149, 45,257,153)
( 42,258,150)( 49,269,157, 53,265,161)( 55,316,235,280)
( 56,317,238,273, 72,322,246,284, 69,313,242,272, 65,310,237,288, 70,
318,248,285, 61,314,236,281, 58,309,252,286, 66,320,249,277, 62,308,
245,274, 57,324,250,282, 68,321,241,278)( 59,315,239,279)
( 60,312,240,276)( 63,311,243,275)( 64,307,244,271)( 67,323,247,287)
( 71,319,251,283)( 73,298,181,100,127,172,199,226,109, 82,289,190, 91,
136,163,208,217,118)( 74,299,184, 93,144,178,210,230,123, 79,296,182,
101,130,165,216,232,120, 86,303,187, 98,128,173,202,219,126, 88,300,
194,105,133,170,200,227,112, 75,306,196,102,140,177,205,224,110, 83,
292,183,108,142,174,212,231,115, 80,290,191, 94,129,180,214,228,122,
87,295,188, 92,137,166,201,234,124, 84,302,195, 97,134,164,209,220,
111, 90,304,192,104,141,169,206,218,119, 76,291,198,106,138,176,213,
223,116)( 77,297,185, 99,131,171,203,225,113, 81,293,189, 95,135,167,
207,221,117)( 78,294,186, 96,132,168,204,222,114)( 85,305,193,107,
139,179,211,233,121, 89,301,197,103,143,175,215,229,125),
( 1,217,220, 40, 51,141,136,100, 98, 26, 20,164,174,210,211,301,299,
83, 89,197,187,151,147, 3)( 2,163,228,202, 49,303,137, 82,107,188,
25,146,165, 12,199,229,292, 47, 87,143,190, 97,152, 21)
( 4, 37,231,130, 46,105,134, 28, 92,170, 30,200,175,300,209, 85,305,
191, 79,161,183, 7,145,219)( 5,307,230,274, 42,123,131,316,104,278,
24,110,167,318,212,283,294,119, 77,323,194,277,150,111)
( 6,109,221,310, 50,285,132,118, 95,314, 32,272,168,120,203,319,302,
281, 78,125,185,313,158,273)( 8, 19,218,166, 48,213,139,298,101, 80,
35,182,169,156,201, 13,289,227, 76, 53,195,133,154, 93)
( 9, 55,234,256, 45, 69,144,262, 99, 62, 36,254,171, 66,216,265,297,
65, 90,269,189, 61,162,255)( 10, 91,224, 22, 38,177,138,208,103,296,
29, 74,179,192,205,157,291, 11, 73,233,184, 43,159,129)
( 14,271,222,112, 41,321,140,280, 96,116, 23,308,176,282,204,121,293,
317, 86,287,186,115,149,309)( 15,127,226, 94, 44, 33,128,172,102,206,
31,290,173, 84,215,193,295,155, 75, 17,181,223,148, 39)
( 16,235,232,238, 52,249,142,244,106,242, 34,236,178,246,214,247,304,
245, 88,251,196,241,160,237)( 18,253,225, 58, 54,267,135, 64,108,260,
27, 56,180,264,207, 67,306,263, 81, 71,198,259,153, 57)
( 59,324,266,279, 60,126,257,315, 68,288,258,117)( 63, 72,270,261)
( 70,252,268,243)(113,311,320,284,276,114)(122,275,312)
(124,239,322,248,286,240) ] ],
[ 3, 40990389067797283140009984000000, 0, "4c", [ [ 34, 1 ], [ 289, 1 ] ], 1,
"Alt(18)^2.4", [ "A", 18, 2 ],
[ ( 1,224,271,188,307,260,109, 98,163,152, 19, 8,217,278,181,314,253,116,
91,170,145, 26)( 2,231,273,191,318,268,126,103,168,146, 33, 3,227,
282,196,324,265,114, 92,177,147, 29, 12,232,288,193,312,254,123, 93,
173,156, 34, 18,229,276,182,321,255,119,102,178,162, 31, 6,218,285,
183,317,264,124,108,175,150, 20, 15,219,281,192,322,270,121, 96,164,
159, 21, 11,228,286,198,319,258,110,105,165,155, 30, 16,234,283,186,
308,267,111,101,174,160, 36, 13,222,272,195,309,263,120,106,180,157,
24)( 4,226,287,189,311,266,115, 94,172,161, 27, 5,230,277,184,316,
269,117, 95,176,151, 22, 10,233,279,185,320,259,112,100,179,153, 23,
14,223,274,190,323,261,113,104,169,148, 28, 17,225,275,194,313,256,
118,107,171,149, 32, 7,220,280,197,315,257,122, 97,166,154, 35, 9,
221,284,187,310,262,125, 99,167,158, 25)( 37, 80,127,242,289,206)
( 38, 87,129,245,300,214, 54, 85,132,236,303,201, 47, 84,142,252,301,
204)( 39, 83,138,250,306,211, 42, 74,141,237,299,210, 52, 90,139,240,
290,213)( 40, 82,143,243,293,212, 43, 76,136,251,297,203, 50, 79,130,
244,305,207, 41, 86,133,238,298,215, 45, 77,140,241,292,208, 53, 81,
131,248,295,202, 46, 89,135,239,302,205)( 44, 73,134,235,296,199)
( 48, 88,144,247,294,200, 51, 75,137,246,304,216, 49, 78,128,249,291,
209)( 55, 62)( 56, 69, 57, 65, 66, 70, 72, 67, 60)( 58, 64, 71, 63,
59, 68, 61), ( 1,194,163,190, 73,189,127,192,253,188)
( 2, 68,167,316, 88, 99,137,228,267, 44, 6, 32,164, 64, 77,315,142,
102,263,224, 15, 50,168, 28, 74, 63,131,318,268, 98, 11,230,177, 46,
78, 27,128, 66,257,314, 16,104,173,226, 87, 45,132, 30,254, 62, 5,
320,178,100, 83,225,141, 48,258, 26)( 3,248,180,280, 89,207,130,300,
265,152)( 4,302,175,154, 75,243,144,282,269,206)( 7,122,169,118,
79,117,133,120,259,116)( 8, 14,176,172, 82, 81,135,138,264,260)
( 9,140,174,262, 80)( 10, 86,171,136, 84,261,134, 12,266,170)
( 13,158,165,244, 90,279,143,210,256,296)( 17,212,166,298, 85,153,129,
246,270,278)( 18,284,179,208, 76,297,139,156,255,242)
( 19,182, 55,185,307,196, 91,191,217,195, 37,186)( 20, 56, 59,311,322,
106,101,227,231, 51, 42, 24)( 21,236, 72,275,323,214, 94,299,229,159,
39,240, 36,272, 71,203,310,304,103,155,219,249, 54,276, 35,200, 58,
293,319,160, 93,245,234,285, 53,204, 22,290, 67,149,309,250,108,281,
233,213, 40,294, 31,146, 57,239,324,286,107,209,220,303, 49,150)
( 23,308, 70, 95,317,232,105, 47,222, 33, 38, 60)( 25,110, 61,113,313,
124, 97,119,223,123, 43,114)( 29,218, 69, 41,312, 34, 92, 65,221,321,
52, 96)(109,187)(111,241,126,277,125,205,112,295,121,151)
(145,183,235,198,271,197,199,184,289,193)(147,237,252,288,287,215,202,
292,301,157)(148,291,247,162,273,251,216,274,305,211)
(161,201,238,306,283) ] ],
[ 4, 81980778135594566280019968000000, 0, "4c", [ [ 34, 1 ], [ 289, 1 ] ], 1,
"Sym(18) wreath Sym(2)", [ "A", 18, 2 ],
[ ( 1,125, 23, 55, 53,149,307,251,167,217,215,275,289,107,257,181, 89,131)
( 2,117, 24, 61, 47,157,324,249,174,220,212,278,291,106,262,182, 81,
132, 7,119, 31, 72, 51,156,310,248,170,219,214,280,290, 99,258,187,
83,139, 18,123, 30, 58, 50,152,309,250,172,218,207,276,295,101,265,
198, 87,138, 4,122, 26, 57, 52,154,308,243,168,223,209,283,306,105,
264,184, 86,134, 3,124, 28, 56, 45,150,313,245,175,234,213,282,292,
104,260,183, 88,136)( 5,109, 35, 59, 37,161,311,235,179,221,199,287,
293, 91,269,185, 73,143)( 6,115, 29, 67, 54,159,318,238,176,224,201,
286,298, 92,261,186, 79,137, 13,126, 33, 66, 40,158,314,237,178,226,
200,279,294, 97,263,193, 90,141, 12,112, 32, 62, 39,160,316,236,171,
222,205,281,301,108,267,192, 76,140, 8,111, 34, 64, 38,153,312,241,
173,229,216,285,300, 94,266,188, 75,142, 10,110, 27, 60, 43,155,319,
252,177,228,202,284,296, 93,268,190, 74,135)( 9,114, 25, 65, 49,162,
321,246,166,230,206,273,304,100,254,189, 78,133, 11,121, 36, 69, 48,
148,320,242,165,232,208,272,297, 96,259,191, 85,144, 15,120, 22, 68,
44,147,322,244,164,225,204,277,299,103,270,195, 84,130, 14,116, 21,
70, 46,146,315,240,169,227,211,288,303,102,256,194, 80,129, 16,118,
20, 63, 42,151,317,247,180,231,210,274,302, 98,255,196, 82,128)
( 17,113, 19, 71, 41,145,323,239,163,233,203,271,305, 95,253,197, 77,
127), ( 1, 64,150,238, 87, 49,140,277,291,101, 2,262,160,310, 84,
211,127, 61,294,245, 15, 46,158,274, 75,103,128,259,304,317, 12,208,
145, 58, 78,247,141, 43,302,281, 3,100,146,256, 88,319,138,205,289,
65, 6,244,159, 40, 86,283,129, 97,290,263, 16,316,156,202, 73, 67,
132,241,303, 47, 14,280,147, 94, 74,265,142,313,300,209)
( 4, 82,157,130, 79,301,137, 7,298,155)( 5,118,149,112, 77,121,131,
115,293,119)( 8,172,162, 22, 81,229,143,187,296,173, 18, 28,153,220,
89,193,134,169,306, 29, 9,226,161,184, 80,175,144, 25,297,227, 17,
190,152,166, 90, 31,135,223,305,191)( 10,154,148, 76, 85,139,133,295,
299, 11)( 13,136,151,292, 83)( 19, 63,222,251,195, 44,176,288, 21,
99,218,269,196,314,174,216)( 20,261,232,323,192,206,163, 72, 24,243,
231, 53,194,278,165,108)( 23,117,221,125,185,116,167,126)
( 26,171,234, 35,189,224,179,198)( 27,225,233,197,188,170,180, 36)
( 30,207,217, 71,186,242,177, 54, 32,279,219,107,182,260,178,324)
( 33, 45,230,287,183, 98,164,270, 34,315,228,215,181, 62,168,252)
( 37, 68,276,237,105, 38,266,286,309,102,200,253, 70,312,246,213)
( 39,104,272,255,106,308,264,214,307, 66,204,235, 69, 42,248,285)
( 41,122,275,111, 95,110,257,124,311,120,203,109, 59,114,239,123)
( 48,212,271, 57, 96,236,267, 52,320,282,201, 91, 56,258,250,321)
( 50,284,273, 93, 92,254,268,322,318,210,199, 55, 60,240,249, 51) ] ],
[ 5, 11985408, 0, "4c", [ [ 34, 1 ], [ 289, 1 ] ], 1,
"PSL(2, 17) wreath Sym(2)", [ "L", [ 2, 17 ], 2 ],
[ ( 1,149,187, 73,154,205, 90,316,214,126,319, 52,120, 13, 41,192)
( 2,275,188,217,148, 61, 87,100,212,144,317,304,117,247, 53,264)
( 3,167,183,163,147,169, 75,172,201,180,309,178,111,175, 39,174)
( 4, 59,195, 91,158,133, 83,298,207,252,323,268,110,283, 44,228)
( 5,185,181,145,151, 79, 82,208,216,324,322,124,121, 49, 48, 12)
( 6, 23,186, 19,150, 25, 78, 28,204, 36,312, 34,114, 31, 42, 30)
( 7, 77,190,199,162,313, 88,118,211, 54,318, 16,113,193, 37,156)
( 8,221,184, 55,159, 97, 86,136,209,306,315,250,125,265, 38,282)
( 9,239,197,253,146,277, 80,226,202, 72,321,106,122,139, 47,300)
( 10,203,198,307,160,115, 85, 46,210, 18,311,196,109,157, 43, 84)
( 11,293,189,235,161,259, 74,280,206,234,310, 70,123,103, 50,138)
( 14,131,191,289,153,241, 89,262,200,288,314,232,112, 67, 51,102)
( 15, 95,194,127,155,295, 81,244,215,270,308,286,116,229, 40, 66)
( 17,257,182,271,152,223, 76, 64,213,108,320,142,119,301, 45,246)
( 20,276, 26,222, 22, 60, 33, 96, 32,132, 29,294, 27,240, 35,258)
( 21,168)( 56,285, 98,230,130, 65,303, 99,248,143,263,290,279,242,233,
256)( 57,177, 93,176,129,173,291,171,237,179,255,164,273,170,219,166)
( 58, 69,105,104,140,137,299,297,243,251,269,254,272,278,224,220)
( 62,231, 94, 68,141,101,302,135,245,305,261,236,287,260,218,274)
( 63,249,107,266,128,281,296,225,238, 71,267, 92,284,134,227,292),
( 1, 52,277,176,203,290,321,155,234,238,116,261, 30, 85,143, 93, 64,186
)( 2,322,281,230,202,110,315, 29,229,130,111, 63, 24, 13,142,273,
68,204)( 3, 70,276, 14,214,272,320,209,218,310,119,225, 22,121,135,
21, 67,132)( 4,124,279, 32,211,128,309, 65,222)( 5,304,285,158,216,
236,314,263,228, 76,125, 99, 28,193,127, 39, 61,168)( 6, 16,286,284,
212,200,308,317,227,220,112,117, 27, 31,139,129, 57, 60)
( 7,178,275,302,213,146,324,245,224,256,120, 81, 35,103,136,183, 55,
42)( 8,268,282, 86,215, 92,316,191,217, 40,115,171, 23,301,141,147,
72,240)( 9, 34,283,140,201, 56,312, 11,232,274,122,207, 20,319,137,
219, 58,114)( 10,196,271, 50,205,164,311,299,231,148,126,243, 26,265,
138, 75, 71, 96)( 12, 88,287,104,208,182,307, 47,223,166,113,297, 33,
157,144,237, 62,258)( 15,160,288,248,206,254,318, 83,233, 94,118,189,
19, 49,133,165, 59,294)( 17,106,280,194,199, 38,313,173,221,292,123,
153, 36,247,134,255, 66, 78)( 18,250,278,266,210, 74,323,101,226,184,
109, 45, 25,175,131,291, 69,150)( 37, 43,169,167,293,303,159,162,252,
242,260,264, 84, 89,107,100,190,181)( 41,295,177,149,306,249,152,270,
246, 80,269,102, 82,197, 91, 46,187,163)( 44,259,174, 77,305,105,154,
198,235)( 48, 79,179, 95,298,195,145, 54,241,170,257,300, 87,161,108,
244,188,253)( 51,151,180,239,296,267,156, 90,251, 98,262,192, 73, 53,
97,172,185,289) ] ],
[ 6, 23970816, 0, "4c", [ [ 34, 1 ], [ 289, 1 ] ], 1, "PSL(2, 17)^2.2^2",
[ "L", [ 2, 17 ], 2 ],
[ ( 1, 20, 67,113)( 2, 56, 59, 5)( 3,308, 57,311)( 4,128, 69,185)
( 6,290, 63, 41)( 7, 92, 68,257)( 8,200, 62,203)( 9, 38, 60,293)
( 10,146, 70,221)( 11,272, 66,239)( 12,236, 65,275)( 13,110, 55, 23)
( 14,254, 61, 95)( 15,182, 58,131)( 16,218, 64,149)( 17,164, 72, 77)
( 18, 74, 71,167)( 19, 31,121,109)( 21,319,111,307)( 22,139,123,181)
( 24,301,117, 37)( 25,103,122,253)( 26,211,116,199)( 27, 49,114,289)
( 28,157,124,217)( 29,283,120,235)( 30,247,119,271)( 32,265,115, 91)
( 33,193,112,127)( 34,229,118,145)( 35,175,126, 73)( 36, 85,125,163)
( 39,312,291,315)( 40,132,303,189)( 42,294,297, 45)( 43, 96,302,261)
( 44,204,296,207)( 46,150,304,225)( 47,276,300,243)( 48,240,299,279)
( 50,258,295, 99)( 51,186,292,135)( 52,222,298,153)( 53,168,306, 81)
( 54, 78,305,171)( 75,323,165,324)( 76,143,177,198)( 79,107,176,270)
( 80,215,170,216)( 82,161,178,234)( 83,287,174,252)( 84,251,173,288)
( 86,269,169,108)( 87,197,166,144)( 88,233,172,162)( 89,179,180, 90)
( 93,320,255,313)( 94,140,267,187)( 97,104,266,259)( 98,212,260,205)
(100,158,268,223)(101,284,264,241)(102,248,263,277)(105,194,256,133)
(106,230,262,151)(129,321,183,310)(130,141,195,184)(134,213,188,202)
(136,159,196,220)(137,285,192,238)(138,249,191,274)(142,231,190,148)
(147,322,219,316)(152,214,224,208)(154,160,232,226)(155,286,228,244)
(156,250,227,280)(201,314)(209,278,210,242)(237,317,273,318)
(245,281,282,246), ( 1,308,273,180,136,120,251,206)( 2,272,288,144,
138,246,242, 8)( 3,164,280,126,143,210,235,314)( 4,254,279,198,
141, 84,241, 44)( 5, 56,281,108,142,228,247, 26)( 6,146,276,162,
132,156,240,152)( 7, 38,274,270,135,192,249, 80)( 9,182,285, 90,
133, 48,238,260)( 10,110,287,216,127,318,237,170)( 11, 92,286,234,
139, 30,239, 62)( 12,236,278, 18,128,282,252,134)( 13, 20,275, 72,
137,102,250,224)( 14,290,284,306,140,300,248,296)( 15, 74,277, 54,
130,264,243,188)( 16,218,283, 36,131, 66,245, 98)( 17,200,271,324,
129,174,244,116)( 19,311, 57,173,100,124,233,211)( 21,167, 64,119,
107,214,217,319)( 22,257, 63,191,105, 88,223, 49)( 23, 59, 65,101,
106,232,229, 31)( 24,149, 60,155, 96,160,222,157)( 25, 41, 58,263,
99,196,231, 85)( 27,185, 69, 83, 97, 52,220,265)( 28,113, 71,209,
91,322,219,175)( 29, 95, 70,227,103, 34,221, 67)( 32,293, 68,299,
104,304,230,301)( 33, 77, 61, 47, 94,268,225,193)( 35,203, 55,317,
93,178,226,121)( 37,310,255,171,190,123, 89,205)( 39,166,262,117,
197,213, 73,313)( 40,256,261,189,195, 87, 79, 43)( 42,148,258,153,
186,159, 78,151)( 45,184,267, 81,187, 51, 76,259)( 46,112,269,207,
181,321, 75,169)( 50,292,266,297,194,303, 86,295)( 53,202,253,315,
183,177, 82,115)(109,323,201,163,316,111,179,208)(114,161,204,145,
312,147,168,154)(118,125,215,199,307,309,165,172)(122,305,212,289,
320,291,176,298)(158,294) ] ],
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[ "L", [ 2, 17 ], 2 ],
[ ( 1, 88,134,195, 22,262, 50,295,222,239,164, 93,207,126,281, 13, 70,138,
321, 35,154, 37, 79,224,185,166,255,212,306,276,247, 56,102,315,125,
155)( 2,106,135,123, 29, 10, 52,133,231, 23,172, 39,205,234,275,175,
57,210,324,287,157, 55, 84,314,197,148,253, 86,296,186,238,254,104,
297,114,245)( 3,214,144,285, 31, 64, 48,313,233,149,163, 75,206,198,
274,265, 68,300,312,251,146, 91, 81,116,191, 4,268,140,303, 24,244,
38, 97,225,113,173)( 5,178,129,213, 36,280, 49, 61,228,311,179,147,
199, 90,278,193, 58,264,320,305,150,235, 74, 98,189,112,263, 14,304,
132,249, 20,100, 45,115,227)( 6,250,128,105, 27,118, 47, 7,232,131,
177, 21,208, 54,277,229, 59,174,309,215,162,271, 85, 62,192,310,269,
158,289, 78,242,182, 94,261,122,299)( 8,196,130,267, 32,298, 42,241,
218, 95,171,111,209, 18,286,139, 69, 30,316, 53,151,217, 77,170,183,
202,270,284,301, 60,246,308,107,153,109, 83)( 9,124,137, 15, 34,136,
51, 25,226, 41,169,219,203,180,273,211, 72,282,319, 71,156,307, 89,
152,181, 76,260,194,292,258,248,290, 96,243,110,101)( 11, 16,142,141,
33, 28, 46, 43,223,221,167,165,201,216,288,283, 67, 66,318,323,161,
145, 73, 80,188,184,256,266,302,294,240,236, 92, 99,117,119)
( 12,322,143,159, 19, 82, 44,187,220,257,176,291,204,252,272,103, 63,
120,317, 17,160,127, 87, 26,190, 40,259,230,293,168,237,200,108,279,
121, 65), ( 1,238,142,216,111,171, 46,224,301,258,272,107, 79, 15,
310,140,162,113,189, 37,242,304,204,273,179, 82,231,319,266,146, 95,
187)( 2, 94,133, 18,112,135, 54,116,297, 42,278,305, 78,285,323, 86,
159,311,194,145,239,196,199,237,178,208,219,175,262,218,103,259)
( 3,166,136,234,121,261, 38, 98,295, 6,274,143, 90,123,315, 50,152,
293,186,271,251, 88,213,309,176,154,221,193,253,236,106,205)
( 4,130,144,126,117, 45, 44,296,294,276,287, 89, 87,321,320,158,149,
185,181,235,250,214,201,165,172,226,229,265,254, 92, 97, 7)
( 5,184,127,252,124,207, 39,170,298,222,283,269, 74,105,313, 14,148,
131,198,109,243, 52,206,291,168,280,233, 85,267,308,104,151)
( 8,292,132,288,125, 81, 51,314,302,150,275,197, 73,249,322,212,147,
167,190,217,247,268,200, 93,169, 10,220,139,270,110, 99, 43)
( 9, 40,134,306,114,279, 53, 80,303,312,284,161, 77,195,307,248,160,
203,183,163,244,232,211,255,164,100,223, 13,256,128,108,115)
( 11, 22,137, 36,119, 27, 47, 26,299, 24,281, 35, 83, 33,317, 32,155,
23,191, 19,245, 34,209, 21,173, 28,227, 31,263, 20,101, 25)
( 12, 58,138, 72,120, 63, 48, 62,300, 60,282, 71, 84, 69,318, 68,156,
59,192, 55,246, 70,210, 57,174, 64,228, 67,264, 56,102, 61)
( 16,202,129,180,118,225, 49,260,290, 96,277, 17, 76,141,324,122,153,
41,188,289,240,286,215, 75,177,316,230,157,257,182, 91,241)
( 30, 65) ] ],
[ 8, 47941632, 0, "4c", [ [ 34, 1 ], [ 289, 1 ] ], 1,
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[ ( 1, 67,273, 36, 97,260,312,225, 46, 74,174,124,213,235, 65,291, 22,187,
257, 6,229,280, 90,102,116,321,243, 47,290,166,196,203)
( 2,175,286,216, 91, 62,309, 27, 43,254,168,232,208, 73, 66,111, 33,
241,263,294,220,190, 77, 12,121,285,252,101,296,310,189, 41)
( 3, 31,277,270, 96,224,316, 81, 48,110,177,250,209,289, 58,183, 23,
7,265,276,234,100, 80,318,117, 51,236,173,304,202,181, 59)
( 4,193,275, 18,103,278,324, 99, 44,308,171, 52,200,163, 70,201, 19,
61,255, 24,223,262, 78,228,118, 87,246,119,303,238,191,293)
( 5, 13,283,288,108, 98,314,315, 45, 38,164,178,214,199, 55, 57, 21,
25,259,258,222,226, 82, 84,120,123,249,245,299,292,184,185)
( 8,319,279, 54, 92,170,322,207, 37, 56,165, 34,205,253, 60,219, 28,
79,264,114,231,244, 83,300,112,195,239, 11,301,274,198, 95)
( 9, 49,272,180,106,206,307, 63, 39, 20,169,268,204,217, 64, 75, 30,
115,267,240,227,298, 76,192,113, 15,247,281,306, 94,188,311)
( 10, 85,282,126,105,242,317,297, 40,182,167, 16,211,271, 72, 93, 26,
313,261, 42,218,172, 88,210,109, 69,237, 29,295,256,186,221)
( 14,139,284,144,104,134,320,135, 50,128,176,142,212,127, 68,129, 32,
133,266,132,230,136, 86,138,122,141,248,137,302,130,194,131)
( 17,157,287,162,107,152,323,153, 53,146,179,160,215,145, 71,147, 35,
151,269,150,233,154, 89,156,125,159,251,155,305,148,197,149)(143,158)
, ( 1,275,116,244, 43,204,155,219, 91, 23,170, 82,313,132, 65,255)
( 2,282,125,250, 49,213,162,220, 92, 30,179, 88,319,141, 72,256)
( 3,271,113,242, 46,205,150,227, 93, 19,167, 80,316,133, 60,263)
( 4,272,120,251, 52,211,159,234, 94, 20,174, 89,322,139, 69,270)
( 5,278,118,241, 42,209,147,217, 95, 26,172, 79,312,137, 57,253)
( 6,281,111,235, 41,206,154,223, 96, 29,165, 73,311,134, 64,259)
( 7,276,119,237, 37,203,152,226, 97, 24,173, 75,307,131, 62,262)
( 8,280,115,240, 47,201,145,221, 98, 28,169, 78,317,129, 55,257)
( 9,279,117,243, 45,207,153,225, 99, 27,171, 81,315,135, 63,261)
( 10,277,114,245, 39,199,149,224,100, 25,168, 83,309,127, 59,260)
( 11,273,109,239, 44,208,151,222,101, 21,163, 77,314,136, 61,258)
( 12,287,124,247, 51,216,148,218,102, 35,178, 85,321,144, 58,254)
( 13,285,126,238, 38,210,161,232,103, 33,180, 76,308,138, 71,268)
( 14,284,122,248, 50,212,158,230,104, 32,176, 86,320,140, 68,266)
( 15,288,112,236, 48,215,160,229,105, 36,166, 74,318,143, 70,265)
( 16,283,123,252, 40,200,156,233,106, 31,177, 90,310,128, 66,269)
( 17,286,121,249, 54,202,146,228,107, 34,175, 87,324,130, 56,264)
( 18,274,110,246, 53,214,157,231,108, 22,164, 84,323,142, 67,267)
(181,185,188,190,187,186,191,183)(182,192,197,196,193,195,198,184)
(289,293,296,298,295,294,299,291)(290,300,305,304,301,303,306,292) ]
],
[9, Factorial(324)/2,1,"2",[[323,1]],322, "Alt(324)", ["A",324, 1], "Alt"],
[10, Factorial(324),0,"2",[[323, 1]],324, "Sym(324)", ["A",324, 1], "Sym"]];
PRIMGRP[325]:=
[[ 1, 4680000, 1, "2", [ [ 144, 1 ], [ 60, 1 ], [ 120, 1 ] ], 1, "PSp(4, 5)",
[ "B", [ 2, 5 ], 1 ],
[ ( 1, 8,284,190,313,241,225,175, 99, 97)( 2, 91,252, 17, 9)
( 3,187, 94,206,202,257, 31,234, 47,219)( 4,138,180,292,107, 21,256,
315,161,116)( 5,286,254, 7,317,260, 33,269, 63,109)
( 6,251,121,299,154, 82,178, 48,307,231)( 10,197, 62,147,158,212,145,
289,320, 43)( 11,182,321,229,148, 95,133,228, 36,214)
( 12,266,283, 84,120)( 13,146,236,169,221)( 14,144, 23,275,294,271,
324,118,100, 29)( 15,172,200,152, 89,123, 57,304,119,113)
( 16, 22,325,210, 70, 61,160,261,215,233)( 18, 56)( 19,281,291,288,
66,208,153,245, 74,149)( 20,112,196, 68,230,159,259, 32,240, 80)
( 24,130, 46,140,263, 59,316,104, 77,177)( 25, 81,258, 69,195)
( 26,274,101, 79,309,163,213,209,319,142)( 27, 50,181,250, 76)
( 28,174,270,306,192, 52, 34,255, 58, 44)( 30,264, 73,272,137,282,301,
93,267,322)( 35,167,222,280,308,102,139,141,134, 40)( 37, 98,290,106,
314)( 38,216)( 39,135, 72,277,131, 71,127,162,246,227)
( 41,297,103,295,302,151,171,186, 88, 92)( 42,124,188,224,253)
( 45, 60, 51,157, 65,179,191,136,285, 85)( 49,278,223,207,249,173, 64,
83,238,243)( 53,132)( 54,115,189,276,247,128,205,318,218,323)
( 55,105,303,232, 87)( 67,279, 75, 96,170,129,125,305,310,211)
( 78,248, 90,166,311)( 86,262,201,194,273)(108,287,204,122,293,203,
183,242,198,298)(110,185,155,193,296,168,244,237,217,114)
(111,226,117,268,165)(126,265)(143,176)(156,235,199,220,312)(164,184)
(239,300), ( 1,160, 50,319, 45,151, 17,227, 44,147,201,247,223,114,
12,242,144, 38,146,187)( 2, 33,205,141, 10,265,310,100, 23, 15,103,
76,135, 90,169,189,251,293,259,155)( 3,104,130,106,132,237,301,288,
199,200)( 4,177,159,318,303,325, 84,314,186, 56,145,304,209, 55,170,
300,137,183,203,256)( 5,290,243,252, 98, 89,158,175,295,168,181,240,
127,140, 20,217,164,163,309,287)( 6,208,298, 52, 58,297,273, 51,283,
87,173,316, 26,161,167,124,244, 30,210,109)( 7,312,221,254,305,289,
8, 93,188,245, 48,142,306,264,233,197, 77,317,213,235)
( 9,280,149,180, 54,257,166,184,261, 28,123,202, 68, 62,215,212,270,
13,133, 78)( 11,105,138,249, 16,143, 46,211,152, 39, 65,269,311,282,
25,195,274,321,275,229)( 14,172, 47, 99,190,267, 72,174,125,272,198,
271, 34, 57,281,279,207,150,276,238)( 18,253,128,313,193,228,220,292,
148,285)( 19, 63,118, 85,157,185,315,222,176,113, 42,239,111,232,260,
74, 35, 94, 64,165)( 21,191, 97, 27, 96,182, 71,277, 29,286,102, 61,
24, 49,266,121,258, 81,171, 67)( 22,324,120,196)( 31,231,204, 40,
323,307,131,230, 79, 32)( 36,139,108, 66, 37, 60, 73,126, 43,117)
( 41,241,268, 80)( 53,214,248, 70,136,263, 59,107,291,284,322,246,134,
69,115,156,226,255, 92,119)( 75,262,234,101, 82,302,194,112,110,294)
( 83,250,154,216)( 86,308,296,192)( 88, 95,219,129, 91,225,278,116,
178,224)(122,218,153,162)(179,236,299,320) ] ],
[ 2, 9360000, 0, "2", [ [ 144, 1 ], [ 60, 1 ], [ 120, 1 ] ], 1,
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[ ( 1,136, 39, 88,129,109)( 2, 26,236,111,149,138)( 3,314,273, 47,175,287
)( 4,151,201,187, 92,122)( 5,274,297, 84,153,295)( 6, 36,208,272,
133,309)( 7,161,215,127,206,105)( 8,310,254, 37, 45,266)
( 9,292, 19,226, 13,209)( 10, 71,223)( 11,173, 68,148, 61,123)
( 12, 17, 41, 63,117, 99)( 14, 24,299)( 15,155,289, 57,156, 28)
( 16,279,242, 87, 60,194)( 18,128,258,164,181,267)( 20,134,237,188,
222, 29)( 21, 25,189,169, 30,229)( 22,200,250,243, 89,323)
( 23,147,230,100,192,224)( 27, 64,172,318,238, 32)( 31,319,142, 94,
281, 74)( 33,171,239,283,284,143)( 34,211,126,197,157, 38)
( 35,141, 56)( 40,244,113,102,235, 80)( 42,220, 53,196,296,265)
( 43,132, 67, 58,176,285)( 44,203,225,166, 86,103)( 46,107,241, 77,
234, 98)( 48, 95, 79,231, 54, 66)( 49,293,163,249,140,291)
( 50,307,139,115,282,308)( 51,240,271,125,253,185)( 52, 59,106, 90,
204,190)( 55,108,165, 70,104, 91)( 62,306,174,320,311,248)
( 65,198,210,170,177, 83)( 69,280,218, 73,167,228)( 72, 82,275,269,
251,193)( 75,179,255,191,305, 78)( 76,116,121,276,221,264)
( 81,324,286,137,294,246)( 85,159,312, 96,152,217)( 93,214,268,178,
205,252)( 97,212,298,290,270,262)(101,313,162,245,302,277)
(110,158,124,199,145,259)(112,150,168,304,184,144)(114,227,301,118,
135,195)(119,321,186)(120,257,278,317,256,233)(130,160,216,183,232,
300)(131,146,207,260,315,261)(154,247,180,322,182,219)
(213,325,263,288,303,316), ( 1,132,286,230,300, 73,319,199,235,101)
( 2, 65,316, 22,276)( 3,267,130,158,220,156,104, 10,313, 83)
( 4, 70,188,283,280,155,227,162,223,274)( 5, 80, 92,297, 23,271, 87,
25,122,246)( 6,121, 33,159, 57,270, 98,221,324, 29)( 7, 99,260, 20,
137,196, 27,173, 94, 76)( 8,136,264,135, 64,293,149,174,187,152)
( 9,247, 21,212, 45)( 11,179,120,134,103,273,208,161,125,272)
( 12,180,160,142,257,304,123,185,102, 42)( 13, 46,233, 69,203,210,318,
15,197,218)( 14, 37,138, 18, 53,116, 58,112,268,129)( 16,124,214,172,
241)( 17, 63,118,191,151)( 19,177, 62, 74,312)( 24,131, 54,292, 28,
106,315, 43,232,323)( 26,240, 30,140, 47,143,243,320,284,269)
( 31,301, 66,225,278)( 32, 91,178,285,294)( 34,298,127, 51,119)
( 35,224, 85, 95, 97, 75,215,288, 78,231)( 36,282)( 38,265, 50,207,
145,309,213, 59,202,250)( 39,254,287,176,192, 68, 89,147,211, 77)
( 40,163)( 41,262,198, 79,311,148,322, 82,167,204)( 44,308,183,217,
71,321,170,229,113,168)( 48,107,157,310, 84, 90, 49,281,222,296)
( 52,248,238,244,299)( 55,216,289,189,184, 72,305,295,186,226)
( 56, 61, 81,144, 96,111,317,242,261,239)( 60,325,302,114,139,245,234,
201,253, 67)( 86,209,255,166,251,306,141,171,190,182)
( 88,237,219,194,108)( 93,277,133,266,256)(100,314,150,258,275,303,
115,165,205,146)(105,195,290,236,252)(109,291,153,259,181)(110,249)
(117,154,307,279,200,164,128,263,126,169)(175,228)(193,206) ] ],
[ 3, 1018368000, 1, "2", [ [ 68, 1 ], [ 256, 1 ] ], 1, "PSU(4, 4)",
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[ ( 1,305,117, 60, 71,201,149,281, 21,112,203, 61, 24,107,132,116,187,169,
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155,119,143,110,157)( 3,183, 97,190, 31, 77,314,163,131,114,225,214,
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310,171,193, 75,266,135,289,173,254,218, 18)( 5,290,221, 30,238,161,
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( 6,276,264, 54,209,176,283,313, 35, 94,136,219,128,274,243, 25,297,
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( 19,300,102, 98,288,242,249,307,168, 27,277,279,323,269, 89,195,178,
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216,260,235, 78,252,109)( 22, 41,270,139,170, 55, 62, 29,267,141,152,
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146,241, 99,292, 26,247, 49, 72,318,108, 33, 88)( 34,138,200,301,233,
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( 38, 42, 80,185,303,275,312,159,316,234,191, 46,103, 90, 43,317,144,
278,229,160)( 82,162,253, 83,298),
( 1, 6,224,230,296, 34, 61,233,117, 26,270,126,179, 49,132,110,197,
282,311,231,209,153, 39,309,212,217, 27,221,281, 62,288,148,320,246,
307,310,201,166,177,257,106, 74, 52, 78,100,112,113,249,290, 57,165)
( 2,155,259,251, 87,216,277,324,286, 12, 82,274,314, 45, 88,229,265,
239,317,125,130,264,220,172,302, 44, 3,297, 60,323, 90,214,129,138,
10,111, 86,218,136,247, 8,232,263, 99,279,294,227,291,205,266,187)
( 4, 97,228,321, 32, 29, 79,236,182, 70,162, 41,144, 35,293,191,170,
289, 92,284,253,120,268,196,193,312, 58, 54, 77,273,234, 64,118,173,
198,150, 91,107,121,190, 42,260,151, 65, 30,103,105,157,108,305,256)
( 5,203,127,171,322, 20,295,124, 11,200,245, 25,192, 83, 22,250,164,
189, 43,242,142,215,149,160,241,131, 48, 56,272,208,248, 72,134,278,
37,195, 93, 59,141,313,269,252, 16,158, 84,194,114,319, 89,222, 63)
( 7,139, 24,154,152,183,115,116,210, 96,133, 85, 68,304,186, 50,298,
287,143,122,135, 80,137, 55,119, 98,325, 13,159, 18,163,255,168, 73,
219, 31,275,225,102,308, 81,235,199,258,145, 94,128,146, 36,184, 15)
( 9,262, 40,316,174,109,223,123, 23,207,238,271, 19,204,254,240, 67,
101,104,306,156,280,301,299,185,180,178, 38,181, 95, 33,206,188, 21,
226, 69, 53, 28,176,318, 17,261,202,285,213,175,276, 71,161,292, 46)
( 14,303, 51,237,300, 66, 75,169, 47, 76,244,140,147,167,267,243,315)
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90,153, 53, 11, 65, 69,129,253,133, 33, 26,290,265, 96,137,272,104,
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215,258,183,234,315,120, 85,197, 46,266,162,312,238,233,274,174,311,
160, 13,316,109,172,122,285, 59, 44, 5, 6,296, 68, 48,241,299, 30,
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284,210,268, 75,157,277,151, 95, 8,142,227,230, 89,262,232,270,182,
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121,305,225,158,252, 94, 39,134, 84,302,318,220,278, 22, 19,216,159,
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154,165,128,246,226,323, 18,319,324, 81,110,205,304,322,271,208,146,
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264, 66,112,280,231, 58, 37,180,248,207,193,120,171,128,234)
( 2,319,116, 76,300,131,258, 55,143,150,155,164,104,165,236,142,294,
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44, 16,139,312,158, 42, 90, 34,301,215,233, 28,134,257,235,132,246,
119,124,105,229, 64,241,197,175,144)( 4, 93, 89, 48,211,272, 52,157,
121, 83,292, 85,122,189,321)( 6,187, 61,181,110,285,188, 67,205,228,
283,305, 10,153,306,268, 25,118,114,302, 41,242,322,318, 62, 54,148,
289, 33,178)( 7, 20,237, 95,253, 82, 29,191,130,203,240,173,308,222,
80,102,323,154, 72, 60,107, 26,286,190,295, 35,213,147, 56,287)
( 9,200,269,126,254, 87,123,196,137, 74,263,247,103,179, 36,174,100,
230, 71,177, 57,259, 12, 81,221,309, 70,277,245,225)( 11, 77,184,303,
202, 65,324,251,152,313,106, 86,219, 30,195,109, 40,298, 96,216, 23,
307, 27, 75,138,290,293,244,162, 92)( 13,270,265, 51, 94,208, 14,136,
206,210, 99,232, 24,256,275)( 15,192,261,194,217,243,170,249, 78,135,
53,115,218,266, 17, 50, 21, 45,314,151, 68,224, 32,311,186,172,183,
310,156, 38)( 39, 59,315, 98,304,176, 63,113,252,299,320,282,141,260,
125)( 43,250,146,276,267,182,145,291,166,273,149,129,204,212,227)
( 46,288,226,159,281,284,160,199, 97,185, 79, 47,317,239,238)
( 84,316,271,297,133)(108,163,274,201,296) ] ],
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[ ( 1, 70,123,254, 36,166, 58,235, 18,189,149,152)( 2,243,214, 90)
( 3, 17,172)( 4, 61,148, 85, 16,289,184,154, 20, 37, 81,105)
( 5,306,293,132,230, 68,284, 62, 9,186,304,176)( 6,204, 64,271, 15,
309)( 7,115,198,207,142,168,106, 48,197,188, 83,144)
( 8, 40,128, 14,158,178)( 10,325,183, 45,118, 79, 47, 23,107, 87,272,
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316, 57)( 13, 80, 65,320,127,119,261, 28,121, 69, 33,282)
( 19,104, 38,175, 71, 34,170,226,181,260, 53,182)( 21,303,206,310,294,
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116,216)( 24,249,305,137,202,281)( 26,215, 74, 95,151,240,223, 27,
248,190,162,134)( 29,125, 86, 39,279, 82)( 30,256)( 31,267,321)
( 32,124, 76,290, 72,286,307,257,227, 43,299,244)( 35, 84,130,295,194,
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285,138,247, 59,229,111,177)( 52,169, 63,224, 88,117,217,136,192,210,
239,211)( 55,300, 92,179,259,262)( 56,140,258,253,291,245,103,205,
288,122,264,112)( 66,266,113,315,263,110,317,314,242,324,187,108)
( 67,101, 93,312,219,131)( 77,199,275,143,201,191,234,114,221,180,278,
160)( 78,163,185, 89,319,153)( 96,100,283)( 97,298,287,200)
( 99,277,238)(102,167,280,301,297,292)(133,209,252,250,171,276)
(145,156,174,146), ( 1,181,117,307,127,177,111,311,312, 7,323,207,
240, 47,198,119,266, 5, 40,132,184,258,100,271, 87,118,196,146,185,
303,280,259,289,182, 82,291,149,130, 6,315,143, 73,265,252, 42,322,
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20, 24,105,123,226,193,101,298,166,121,251,313,269,268, 88,285,227,
21, 51,176, 34, 99, 28,217, 68, 18,261,162, 59,297,283,169,158,250,
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151,188, 25,255,206,296,148, 29,295,292, 77, 13, 23,286, 58, 83,141,
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128,216,139,155, 48,279, 90, 62,102,167,150,205, 67, 26,168, 49, 75,
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218,113,161,144,257)( 72,306, 93,225,263,241,140,321,223,192,277,305,
199,115,237,189,274) ] ],
[ 6, 7800, 1, "2", [ [ 6, 2 ], [ 12, 10 ], [ 24, 8 ] ], 1, "PSL(2, 5^2)",
[ "L", [ 2, 25 ], 1 ],
[ ( 1, 90)( 2, 66)( 3,237)( 4,305)( 5,246)( 6,159)( 7, 46)( 8, 16)
( 9, 85)( 10, 25)( 11, 97)( 12,195)( 13,319)( 14,267)( 15,245)
( 17,281)( 18, 78)( 19,147)( 20, 68)( 21,238)( 22,140)( 23,188)
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( 32,150)( 33,146)( 35,135)( 36, 54)( 37,292)( 38,198)( 39,314)
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( 48, 99)( 49, 88)( 50,205)( 51, 62)( 52,142)( 53,128)( 55,250)
( 56,113)( 57,320)( 58,136)( 59,287)( 60,253)( 61,303)( 63,100)
( 64,131)( 67,291)( 69,248)( 70,312)( 71,139)( 72,265)( 73,251)
( 74,129)( 75,310)( 76,108)( 77,311)( 79,202)( 80, 98)( 81,293)
( 82,125)( 83,115)( 84,182)( 87,215)( 89,264)( 91,258)( 92,259)
( 93,168)( 94,323)( 95,289)(101,211)(103,231)(104,145)(105,242)
(107,165)(109,285)(110,153)(111,226)(112,236)(116,160)(117,196)
(119,176)(121,256)(122,210)(123,124)(126,189)(127,175)(132,157)
(133,316)(134,268)(137,178)(138,144)(141,273)(143,297)(148,152)
(149,272)(151,232)(154,171)(155,309)(156,164)(158,223)(161,271)
(162,270)(163,166)(167,301)(169,317)(170,254)(172,284)(173,296)
(174,249)(177,315)(179,294)(180,192)(181,306)(184,200)(191,234)
(193,279)(194,228)(197,308)(199,298)(201,274)(203,278)(204,283)
(206,207)(208,322)(209,269)(212,295)(214,304)(216,243)(217,247)
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(307,321), ( 1,279, 42, 24,303)( 2, 80,161,107,321)( 3, 52,106,125,
218)( 4,115,128,276, 9)( 5,283, 44,248,177)( 6,216, 30, 57, 62)
( 7,195,236, 71,136)( 8,271,170,299, 45)( 10, 11,180,113, 75)
( 12,146,256, 51, 21)( 13,307,278,163,226)( 14,257, 17, 37,103)
( 15,285, 91,275,153)( 16,295,183,137,308)( 18,194,201, 53, 84)
( 19, 41, 67,311,126)( 20,139, 28,169,185)( 22,102, 66,197,109)
( 23,300,143,251,132)( 25,249, 68,230,222)( 26, 69, 97,240,141)
( 27, 76,239,284, 36)( 29,267,313,176,186)( 31, 87,199,112,114)
( 32,120,110, 60,105)( 33, 48,212,188,282)( 34, 54,190, 40,243)
( 35,318,215,119,118)( 38,135, 56, 73, 88)( 39,261, 92,150,100)
( 43,182,272,245,265)( 46,223,231,133,233)( 47,269,219,250,178)
( 49,324,213,281,253)( 50,101,232,111,205)( 55, 61,181,277,237)
( 58,165,262,211,198)( 59,254,207,221,224)( 63,134,196,227,280)
( 64,144,200,298,229)( 65,217,235,203,206)( 70,241, 89, 74, 82)
( 72,259,296,168,138)( 77,292,270,315,220)( 78,268,157,304,293)
( 79,131,166,208,306)( 81,127,154,316,155)( 83,286,252,104,167)
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( 93, 94,294,152,193)( 95,148,287,274,162)( 96,117,142,121,191)
( 98,264,173,149,234)(116,130,289,266,319)(122,123,263,246,325)
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(147,202,192,290,174)(158,260,187,184,214)(160,175,273,238,302)
(172,204,322,242,244)(189,297,323,320,305) ] ],
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( 16,199)( 17,147)( 18,146)( 19,190)( 20,156)( 21,132)( 22,196)
( 23,116)( 24,264)( 25,322)( 26,221)( 27,220)( 28,149)( 29,165)
( 30, 93)( 33,189)( 34,249)( 35,256)( 36,257)( 38, 60)( 39,298)
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(115,317)(117,226)(118,143)(119,138)(120,266)(123,213)(124,252)
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( 4,134,212, 9)( 5,117, 12,257)( 6, 11,322, 17)( 7, 34,205,206)
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( 30,230,289,291)( 31,280,106,279)( 33,224,318, 74)( 35, 97, 46, 91)
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( 61,167,179, 70)( 62, 76,285,267)( 64,118,273,295)( 65,133,143,296)
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( 80,253, 86,271)( 81,312,103,162)( 82,290,155,277)( 87,252,165,102)
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(107,215,213,218)(110,316,293,248)(113,154,116,219)(114,249,145,229)
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(148,182,264,192)(156,262,294,283)(157,311,189,254)(170,180,177,221)
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( 7,265,228,172,221,192,195, 23,137,322,239, 18)( 8,316,257,211,161,
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( 27,294,243, 43,117,213, 59, 93, 33,132,142, 64)( 28,201,235,151,317,
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( 54,181,171,324,169,202,188, 99,295,144,175,194)( 61,274,244,139,110,
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( 85,310,114,108,225,309,196,227, 90, 87,112,134)( 88,263, 91,129,187,
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( 5,138)( 6,196)( 7,139)( 8,323)( 9,103)( 10,215)( 11,115)
( 12,236)( 13,290)( 14,148)( 15, 89)( 16,319)( 17, 50)( 18,108)
( 19,283)( 20, 51)( 21,169)( 22,243)( 23,165)( 24, 79)( 25, 92)
( 26,114)( 27,305)( 28,191)( 29,141)( 31,264)( 32, 95)( 33, 38)
( 34,233)( 35, 65)( 36,261)( 37, 74)( 39, 58)( 40, 63)( 41,168)
( 43,297)( 44,311)( 48,130)( 49,209)( 52,320)( 53,313)( 54, 81)
( 55,159)( 56,133)( 57,308)( 59,251)( 60,101)( 61,258)( 62, 88)
( 64, 87)( 66,127)( 67,259)( 68,272)( 69,281)( 70,250)( 71,160)
( 72,248)( 73,309)( 75,104)( 76,170)( 77,242)( 78,195)( 80,267)
( 82,113)( 83,153)( 84,288)( 85,266)( 90,253)( 91,318)( 93,181)
( 94,292)( 97,202)( 98,194)( 99,172)(100,182)(102,164)(105,252)
(107,147)(110,128)(111,178)(112,174)(117,302)(118,235)(119,257)
(120,274)(121,304)(123,214)(124,197)(125,262)(129,240)(131,279)
(132,271)(134,295)(135,171)(137,155)(140,317)(142,256)(143,246)
(144,176)(145,204)(149,301)(150,325)(151,220)(152,255)(154,227)
(156,270)(157,175)(158,230)(161,278)(162,217)(163,173)(166,208)
(167,269)(179,183)(180,241)(184,207)(185,273)(186,210)(187,189)
(188,310)(190,282)(193,291)(198,221)(199,247)(203,286)(205,219)
(206,276)(211,299)(212,216)(218,265)(223,228)(225,226)(231,280)
(232,285)(234,298)(237,244)(238,268)(239,245)(249,254)(260,300)
(263,284)(275,287)(289,316)(307,324)(312,321)(314,315) ] ],
[ 9, 15600, 0, "2", [ [ 24, 11 ], [ 12, 1 ], [ 48, 1 ] ], 1, "PSL(2, 5^2).2",
[ "L", [ 2, 25 ], 1 ],
[ ( 1,106)( 3,148)( 4, 64)( 5,294)( 6,217)( 7,307)( 8,213)( 10,321)
( 11, 12)( 13,164)( 14,170)( 15,236)( 16,282)( 17,161)( 18,284)
( 19,172)( 20,141)( 21, 70)( 22,145)( 23,223)( 24,201)( 25,114)
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(300,325), ( 1,130,237,291, 57)( 2,265, 37, 23,301)( 3, 10,254,112,
64)( 4,210, 86,226,287)( 5,223,290,281, 22)( 6,128, 71, 9,109)
( 7, 24,117,298, 53)( 8,152,242,125, 19)( 11,139,103, 30,164)
( 12,108, 87,304,306)( 13,204,149,257, 14)( 15,206, 26,277, 31)
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( 27, 73,275, 81, 59)( 28,307, 97,160, 79)( 29,173,273,208,185)
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( 40,230,297,216,113)( 41,263,244,193,249)( 42,196,270,258, 85)
( 43,167,132,288, 80)( 44,158,292,145,150)( 45,178,305,186,201)
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( 62,229, 84,289,283)( 67,121,320,211,236)( 68,147,240,260,203)
( 69,286,252,267, 94)( 75,129,255,144,269)( 76,259,224, 99,181)
( 83,302,232,280,116)( 95,310,323,300,243)(105,316,295,219,157)
(106,200,264,198,241)(110,217,324,220,321)(134,235,228,182,262)
(135,276,154,221,239)(141,163,179,296,190)(142,279,195,174,253)
(143,169,248,175,272)(156,313,250,285,312)(159,202,162,318,247)
(165,325,317,205,319)(166,183,294,322,282) ] ],
[ 10, 31200, 0, "2", [ [ 12, 1 ], [ 24, 3 ], [ 48, 5 ] ], 1,
"PGammaL(2, 5^2)", [ "L", [ 2, 25 ], 1 ],
[ ( 1,123)( 3,152)( 4,236)( 5,103)( 6, 14)( 7,318)( 8,140)( 9,241)
( 10, 22)( 11,225)( 12, 56)( 13,216)( 15,227)( 16,245)( 18,125)
( 19, 66)( 20,120)( 21,110)( 23, 57)( 24, 82)( 26,179)( 28,135)
( 29, 44)( 31,156)( 32,207)( 34, 38)( 35,289)( 36,112)( 37, 55)
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(115,134)(117,157)(121,309)(122,229)(124,324)(126,235)(128,325)
(132,231)(136,310)(138,288)(141,287)(143,181)(144,316)(145,314)
(147,319)(148,230)(149,201)(150,154)(151,291)(153,299)(155,202)
(158,273)(159,161)(162,172)(163,211)(164,263)(165,286)(166,295)
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(197,200)(198,260)(204,240)(206,320)(208,221)(209,306)(210,261)
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(226,300)(232,254)(233,267)(242,281)(243,296)(251,313)(253,322)
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(276,315)(312,323), ( 1,192,178,179)( 2, 33,208,303)( 3, 43,200,282
)( 4,247, 71, 28)( 5,274)( 6, 57, 93, 56)( 7, 67,265,107)
( 8,187, 74,114)( 9,235)( 10,293, 31,286)( 11, 84,255,298)
( 12,154,312,204)( 13, 39, 37,151)( 14, 22,121,135)( 15,105,268,156)
( 16, 38,129,198)( 17,238, 27, 19)( 18, 73,111,249)( 20,219,220,248)
( 21,150,147,304)( 23,277,264,233)( 24,280, 95, 26)( 25,297, 65,284)
( 29, 70,118,195)( 30,317,221,131)( 32,253,214,307)( 34,163,224, 54)
( 35,199,140,182)( 36,210,166,122)( 40, 91,288,258)( 41,294,287,180)
( 42,231, 68,189)( 44,120,252, 96)( 45,124,157,110)( 46,160, 72, 50)
( 47,168,218,159)( 48,123,176,153)( 49,313,272,289)( 51,234,315,311)
( 52, 81, 79,229)( 53,308, 98,223)( 55, 94,155,323)( 58,177,167, 62)
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( 64,181,169,236)( 66,101,322, 76)( 69,209,260,109)( 75, 86,216,300)
( 78,133,226,148)( 80,242,128,164)( 82, 88, 83,149)( 85,246)
( 87,165,104,291)( 89,254,188,117)( 90,175,137,203)( 92,108,295,211)
( 97,267,230,256)( 99,227,119,193)(100,136,162,301)(102,314,217,232)
(103,285,126,269)(106,125,266,115)(112,173,306,271)(113,243,320,310)
(116,145,205,215)(130,309,190,250)(132,239,261,279)(134,158,245,197)
(138,244,141,276)(139,292,305,319)(142,172,202,143)(144,196,273,170)
(152,325,316,228)(161,318,296,222)(171,184,283,237)(174,194,251,262)
(183,206)(185,275,263,324)(186,207)(201,257)(225,240,302,290) ] ],
[ 11, 201645730563302817792000000, 1, "2", [ [ 276, 1 ], [ 48, 1 ] ], 1,
"Alt(26)", [ "A", 26, 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)( 4, 6, 9, 12, 17, 22, 29, 36, 45, 54, 65,
76, 89,102,117,132,149,166,185,204,225,246,269,291)( 8, 13, 19, 25,
33, 41, 51, 61, 73, 85, 99,113,129,145,163,181,201,221,243,265,289,
312,268,292)( 10, 14, 20, 26, 34, 42, 52, 62, 74, 86,100,114,130,146,
164,182,202,222,244,266,290,313,325,314)( 16, 23, 31, 39, 49, 59, 71,
83, 97,111,127,143,161,179,199,219,241,263,287,310,224,247,271,294)
( 18, 24, 32, 40, 50, 60, 72, 84, 98,112,128,144,162,180,200,220,242,
264,288,311,324,270,293,315)( 28, 37, 47, 57, 69, 81, 95,109,125,141,
159,177,197,217,239,261,285,308,184,205,227,249,273,296)
( 30, 38, 48, 58, 70, 82, 96,110,126,142,160,178,198,218,240,262,286,
309,323,226,248,272,295,316)( 44, 55, 67, 79, 93,107,123,139,157,175,
195,215,237,259,283,306,148,167,187,207,229,251,275,298)
( 46, 56, 68, 80, 94,108,124,140,158,176,196,216,238,260,284,307,322,
186,206,228,250,274,297,317)( 64, 77, 91,105,121,137,155,173,193,213,
235,257,281,304,116,133,151,169,189,209,231,253,277,300)
( 66, 78, 92,106,122,138,156,174,194,214,236,258,282,305,321,150,168,
188,208,230,252,276,299,318)( 88,103,119,135,153,171,191,211,233,255,
279,302)( 90,104,120,136,154,172,192,212,234,256,280,303,320,118,134,
152,170,190,210,232,254,278,301,319),
( 1, 2, 4)( 3, 6, 10)( 5, 8, 9)( 7, 12, 18)( 11, 16, 17)
( 15, 22, 30)( 21, 28, 29)( 27, 36, 46)( 35, 44, 45)( 43, 54, 66)
( 53, 64, 65)( 63, 76, 90)( 75, 88, 89)( 87,102,118)(101,116,117)
(115,132,150)(131,148,149)(147,166,186)(165,184,185)(183,204,226)
(203,224,225)(223,246,270)(245,268,269)(267,291,314) ] ],
[ 12, 403291461126605635584000000, 0, "2", [ [ 276, 1 ], [ 48, 1 ] ], 1,
"Sym(26)", [ "A", 26, 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)( 4, 6, 8, 11, 14, 18, 22, 27, 32,
38, 44, 51, 58, 66, 74, 83, 92,102,112,123,134,146,158,171,184,183)
( 9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67, 75, 84, 93,103,113,
124,135,147,159,172,185,198,197,210)( 16, 20, 24, 29, 34, 40, 46, 53,
60, 68, 76, 85, 94,104,114,125,136,148,160,173,186,199,212,211,224,
237)( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,115,126,137,149,
161,174,187,200,213,226,225,238,251,264)( 36, 42, 48, 55, 62, 70, 78,
87, 96,106,116,127,138,150,162,175,188,201,214,227,240,239,252,265,
278,289)( 49, 56, 63, 71, 79, 88, 97,107,117,128,139,151,163,176,189,
202,215,228,241,254,253,266,279,290,299,307)( 64, 72, 80, 89, 98,108,
118,129,140,152,164,177,190,203,216,229,242,255,268,267,280,291,300,
308,314,319)( 81, 90, 99,109,119,130,141,153,165,178,191,204,217,230,
243,256,269,277,281,292,301,309,315,320,323,325)(100,110,120,131,142,
154,166,179,192,205,218,231,244,257,270,282,250,263,276,288,298,306,
313,318,322,324)(121,132,143,155,167,180,193,206,219,232,245,258,271,
283,293,223,236,249,262,275,287,297,305,312,317,321)(144,156,168,181,
194,207,220,233,246,259,272,284,294,302,196,209,222,235,248,261,274,
286,296,304,311,316)(169,182,195,208,221,234,247,260,273,285,295,303,
310), ( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)
( 72, 81)( 90,100)(110,121)(132,144)(156,169)(170,183)(182,196)
(184,197)(198,211)(209,223)(212,225)(226,239)(236,250)(240,253)
(254,267)(263,277)(268,281) ] ],
[13, Factorial(325)/2,1,"2",[[324,1]],323, "Alt(325)", ["A",325, 1], "Alt"],
[14, Factorial(325),0,"2",[[324, 1]],325, "Sym(325)", ["A",325, 1], "Sym"]];
PRIMGRP[326]:=
[[1, Factorial(326)/2,1,"2",[[325,1]],324, "Alt(326)", ["A",326, 1], "Alt"],
[2, Factorial(326),0,"2",[[325, 1]],326, "Sym(326)", ["A",326, 1], "Sym"]];
PRIMGRP[327]:=
[[1, Factorial(327)/2,1,"2",[[326,1]],325, "Alt(327)", ["A",327, 1], "Alt"],
[2, Factorial(327),0,"2",[[326, 1]],327, "Sym(327)", ["A",327, 1], "Sym"]];
PRIMGRP[328]:=
[[1, Factorial(328)/2,1,"2",[[327,1]],326, "Alt(328)", ["A",328, 1], "Alt"],
[2, Factorial(328),0,"2",[[327, 1]],328, "Sym(328)", ["A",328, 1], "Sym"]];
PRIMGRP[329]:=
[[1, Factorial(329)/2,1,"2",[[328,1]],327, "Alt(329)", ["A",329, 1], "Alt"],
[2, Factorial(329),0,"2",[[328, 1]],329, "Sym(329)", ["A",329, 1], "Sym"]];
PRIMGRP[330]:=
[[ 1, 443520, 1, "2", [ [ 112, 1 ], [ 168, 1 ], [ 7, 1 ], [ 42, 1 ] ], 1,
"M_22", [ "Spor", "M(22)", 1 ],
[ ( 1, 97)( 2,329)( 3,209)( 4,164)( 5, 30)( 6,119)( 7,178)( 8,160)
( 9,311)( 10, 82)( 11,197)( 12, 15)( 13,307)( 14,132)( 16,163)
( 17, 67)( 18, 44)( 20, 76)( 21,280)( 22,153)( 23, 47)( 25,264)
( 26,115)( 27,103)( 28,193)( 29, 75)( 31,292)( 32,143)( 33,184)
( 35,273)( 36,136)( 37,323)( 38,282)( 39,198)( 40,255)( 41,205)
( 42,206)( 43,100)( 45,149)( 46,192)( 48,305)( 49,236)( 50,257)
( 52,265)( 53,295)( 54,128)( 55,146)( 56,181)( 57,195)( 58,297)
( 59,208)( 60, 78)( 62,106)( 63,247)( 64,268)( 66,240)( 68,228)
( 69, 89)( 70, 88)( 71, 74)( 72,229)( 77,189)( 79,214)( 80,137)
( 83,289)( 84, 98)( 85,220)( 87,194)( 90,141)( 92,124)( 93,249)
( 94,185)( 95,237)( 99,256)(101,172)(102,267)(104,313)(105,177)
(107,207)(108,315)(109,161)(110,271)(111,180)(112,254)(113,114)
(116,320)(117,242)(118,231)(120,262)(121,253)(122,224)(123,279)
(125,190)(126,145)(129,133)(130,211)(131,174)(134,244)(135,215)
(138,241)(140,287)(142,304)(144,219)(147,230)(148,318)(150,291)
(154,300)(155,310)(156,246)(158,196)(159,218)(162,239)(165,285)
(166,317)(167,227)(168,314)(169,203)(170,306)(171,266)(173,277)
(175,299)(176,283)(179,309)(182,327)(186,301)(187,286)(188,263)
(191,250)(200,260)(201,281)(202,221)(204,290)(210,330)(216,321)
(217,235)(222,225)(226,238)(232,328)(233,324)(234,302)(243,296)
(245,326)(248,293)(251,269)(252,275)(258,312)(259,325)(270,272)
(274,278)(276,319)(298,303)(308,316),
( 1,137,243, 28)( 2,180,303, 74)( 3, 16,124, 77)( 4,217, 45,226)
( 5, 7)( 6,281)( 8,143)( 9, 56, 44,270)( 10,158,150, 49)( 11, 23)
( 12,280,111,284)( 13,317,177,210)( 14,241,103,292)( 15,289,239, 32)
( 17,242,156,142)( 18,104, 93, 48)( 19, 79)( 20,311,182,175)
( 21, 25,260,254)( 22,162,122,319)( 24,325,178,251)( 26,184,152,308)
( 27, 84,116, 42)( 30,265, 34,253)( 31,219,148,204)( 33,323,183,202)
( 35,185,279,207)( 36,305,131,286)( 37, 75, 60,300)( 38,109,195,224)
( 39,324,297,221)( 40,145,112,106)( 41,262, 89,259)( 43,138)
( 46,102,179,227)( 47,273, 51,198)( 50,295, 96,236)( 52,247,125,278)
( 53,160,167,256)( 54,120,276, 59)( 55,330,320,100)( 57, 68,110,127)
( 58,114,275,298)( 61,248, 62, 63)( 64,199,192,316)( 65,268,126,329)
( 66,130,173,135)( 67,307,216,201)( 69,149,328,249)( 70,140,171, 86)
( 71,321,128,277)( 72, 81)( 73,194,197,108)( 76,186,170,211)
( 78, 88, 94,157)( 80,304,146,301)( 82,209, 95,288)( 83,147,302,232)
( 87, 90,294,255)( 91,230,118,235)( 92,310,212,169)( 97,164,263,299)
( 98,107,188,233)( 99,272,312,283)(101,174,206,136)(113,190,309,271)
(115,261,287,229)(117,133,326,196)(119,245,290,215)(121,285,282,203)
(123,291,134,161)(129,218,267,314)(132,240,193,222)(139,252,214,244)
(141,257,189,231)(151,264,315,163)(153,213,237,266)(154,293,191,155)
(159,223,208,220)(165,172,274,296)(166,258)(168,306,269,181)
(176,322,327,200)(205,225,238,246)(234,318)(250,313) ] ],
[ 2, 887040, 0, "2", [ [ 112, 1 ], [ 168, 1 ], [ 7, 1 ], [ 42, 1 ] ], 1,
"M_22.2", [ "Spor", "M(22)", 1 ],
[ ( 1, 2)( 3, 5)( 4, 7)( 6, 11)( 8, 16)( 9, 19)( 10, 22)( 12, 26)
( 13, 28)( 14, 30)( 15, 33)( 17, 35)( 18, 36)( 20, 40)( 21, 42)
( 24, 47)( 25, 50)( 27, 52)( 29, 56)( 31, 49)( 32, 48)( 34, 62)
( 37, 67)( 38, 68)( 39, 71)( 41, 74)( 43, 77)( 44, 79)( 45, 81)
( 46, 84)( 51, 93)( 53, 97)( 54, 98)( 55, 92)( 57,103)( 58,104)
( 59,107)( 60,109)( 61,110)( 63, 75)( 64, 99)( 65,116)( 66,117)
( 70,122)( 72,124)( 73,126)( 76,123)( 78,134)( 80,137)( 82,141)
( 83,142)( 86,148)( 87,133)( 88,101)( 89,152)( 90,153)( 91,155)
( 94,160)( 95,162)( 96,102)(100,169)(108,179)(111,180)(112,182)
(114,183)(115,184)(118,188)(119,190)(120,191)(121,193)(125,197)
(127,201)(128,192)(129,200)(130,207)(131,178)(132,209)(135,213)
(136,214)(138,217)(139,220)(140,222)(143,226)(144,228)(146,229)
(147,173)(150,231)(151,232)(154,235)(156,237)(157,159)(158,240)
(161,244)(163,185)(164,174)(165,248)(166,250)(167,252)(168,254)
(170,256)(171,257)(172,224)(177,261)(181,247)(186,206)(187,270)
(189,203)(194,260)(195,265)(196,242)(198,205)(199,283)(202,286)
(204,288)(208,211)(210,284)(216,296)(219,282)(221,272)(223,299)
(225,298)(227,269)(230,233)(236,278)(238,305)(239,246)(241,300)
(243,308)(245,309)(251,275)(253,307)(255,279)(258,313)(259,304)
(262,317)(263,291)(264,266)(268,306)(273,323)(274,292)(276,293)
(277,324)(280,301)(285,319)(287,303)(289,325)(294,302)(295,329)
(297,312)(314,327)(315,326)(316,321),
( 1, 3, 6, 12)( 2, 4, 8, 17)( 5, 9, 20, 15)( 7, 14, 31, 60)
( 10, 23, 45, 82)( 11, 24, 48, 88)( 13, 29, 27, 53)( 16, 34, 63,113)
( 18, 37)( 19, 38, 69, 25)( 21, 43, 78,135)( 22, 44, 50, 91)
( 26, 51, 94,161)( 28, 54, 99,167)( 30, 58,105,133)( 32, 41, 75,130)
( 33, 61)( 35, 65,111,181)( 36, 66,118,189)( 39, 72,125,198)
( 40, 73,127,202)( 42, 62,112, 55)( 46, 85,146, 97)( 47, 86,149,179)
( 49, 90,154,236)( 52, 96,156,238)( 56,101)( 59,108,168,248)
( 64,115,185,268)( 67, 84,144,222)( 68,120,100,170)( 70, 89)
( 71,103,173,258)( 74,128,204,289)( 76,106,177,192)( 77,132,210,280)
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(110,137,216,272)(116,186,269,183)(117,187,271,322)(119,150,220,297)
(121,194,279,253)(124,126,199,145)(129,206,291,328)(136,215,147,228)
(141,223,300,319)(142,224,162,245)(148,230,292,231)(152,174,259,315)
(153,233,175,260)(155,164,239,219)(159,242,270,321)(160,243,201,285)
(171,184,266,288)(176,250,193,211)(180,263,235,244)(182,264,305,308)
(188,273,267,217)(190,275,229,261)(191,277,205,290)(196,281,326,329)
(197,282,327,316)(200,284,298,323)(203,287)(207,240,306,330)
(209,254,311,232)(214,294,314,274)(221,255)(226,301)(234,304,296,310)
(241,286)(256,312,283,307)(257,303,299,324)(265,320,317,313)(278,325),
( 5, 10)( 6, 13)( 7, 15)( 8, 18)( 9, 21)( 11, 25)( 12, 27)( 14, 32)
( 19, 39)( 20, 41)( 23, 46)( 24, 49)( 28, 55)( 29, 57)( 30, 59)
( 31, 43)( 34, 64)( 38, 70)( 40, 73)( 42, 76)( 44, 80)( 45, 83)
( 47, 87)( 48, 89)( 50, 92)( 51, 95)( 54,100)( 56,102)( 58,106)
( 60, 79)( 61,111)( 62,108)( 63,114)( 66,119)( 67,116)( 68,121)
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( 81,140)( 82,130)( 84,145)( 85,147)( 86,150)( 91,156)( 93,159)
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(104,175)(105,176)(107,152)(112,170)(113,115)(117,144)(118,151)
(120,192)(122,165)(124,196)(125,154)(126,200)(127,203)(128,205)
(132,211)(137,160)(138,219)(139,221)(142,225)(143,208)(146,227)
(148,204)(149,173)(153,234)(157,239)(158,241)(161,163)(162,246)
(167,253)(169,255)(172,235)(177,210)(178,195)(179,254)(182,223)
(183,265)(184,267)(186,201)(187,272)(189,274)(190,276)(191,278)
(193,248)(194,280)(197,275)(198,236)(199,243)(202,287)(206,292)
(209,294)(212,273)(215,295)(216,284)(220,259)(222,298)(224,251)
(226,302)(228,293)(230,277)(231,291)(233,303)(240,307)(242,257)
(245,299)(249,310)(250,279)(252,300)(256,309)(258,314)(260,301)
(261,316)(262,311)(263,288)(264,319)(270,304)(281,317)(286,324)
(289,325)(290,328)(296,321)(306,312)(320,323)(322,329) ] ],
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305, 60, 95,217,239,193,124)( 5, 38,125,206, 34,134,233, 72,259,158,
62,253,146, 37, 92,234, 71,178,242,309,258)( 6,244, 88,224,200,238,
161,104, 47,117,219,264,147, 12,135,254,181, 36,171,141, 22)
( 7,312,307,105,299,292, 13,198,324,151,306, 61,165, 33,167,155,291,
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10,221,159,176,251,211, 14,173,246,131,272,318)( 11,208,109,228, 94,
277,143,231,235,112,274, 66,191,271,203, 20,101,285, 85,255,304)
( 16,126,163, 63,138,322, 52,174,152,267,183,329, 74,196, 18,214,168,
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120,184,175, 96,230,164,245,100)( 21,113,280,296, 87, 45,110)
( 24,205,289,310,287,288,301)( 25,330,213,216,114, 57,316)
( 27,327,269,243,180, 32, 93)( 28,122,222, 50, 89,290, 56,237,149,268,
207, 82, 48,102,210, 99,229,215, 55, 77,136)( 31,204,279, 90, 51, 91,
67)( 35,303,261,302,315, 65, 75)( 40,225,249,314,240,270,103)
( 53,282,281, 84,294,248,107)( 58, 73,265,286,236,179, 70)
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132,276,313,166,118,256,121,319,293,142,266)(129,328,326,220,192,154,
252), ( 1,250,194,262,312,317)( 2,115,248,307,189,315)
( 3,311,223,185, 10,269)( 4,243, 8,254, 93,279)( 5, 21, 66, 12,
134, 47)( 6,289, 75, 45,125,161)( 7,224,120,172, 95,264)
( 9,238,319,297, 41,192)( 11, 36,118,210,292, 19)( 13,211,173,206,
46,271)( 14,147, 96, 97,265,304)( 15,180, 49, 76, 31,182)
( 16,154,219, 80,266,165)( 17,309,274,136, 30,129)( 18,203,272,160,
28,326)( 20,170,267, 82, 35, 71)( 22,112, 27, 72,233,102)
( 23,313,221,146, 38, 94)( 24,109,244,110, 37, 85)( 25, 86,201,130,
245,108)( 26,231,255,275, 33,220)( 29,101,234, 56,208,142)( 32, 92)
( 34,121,184,135,323, 73)( 39,291,247)( 40,156,228,316,260,105)
( 42,276,188,256,227,222)( 43,127,259, 88,186,119)( 44,215,300, 63,
124, 51)( 48,158,209,159,163, 87)( 50,151,240,295,305,282)
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314,107)( 78,320,226,167,176,301)( 79,218,204,285,181,236)
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( 4, 74,176,200,233,187,222,204, 39,109,292)( 5, 28,183,118,237,310,
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130, 73, 68,177,143)( 46,138,251,166,243,323,199,247,156,256, 92)
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( 3,260, 38,203,293, 41,284)( 4,113, 65, 87,133,282,195)
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( 8, 58,204, 98,110,207, 73)( 9,153,200,201,150,163, 17)
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118, 22,255,145,276)( 19,272,173,221, 26,177,251)( 21,178,106, 31,
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264,266, 96,312)( 35,169, 77,286,258, 67,193)( 39,313, 66, 71, 54,
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323,213,194,196) ] ],
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[6, Factorial(330),0,"2",[[329, 1]],330, "Sym(330)", ["A",330, 1], "Sym"]];
PRIMGRP[331]:=
[[1, Factorial(331)/2,1,"2",[[330,1]],329, "Alt(331)", ["A",331, 1], "Alt"],
[2, Factorial(331),0,"2",[[330, 1]],331, "Sym(331)", ["A",331, 1], "Sym"],
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[ 5, 993, 2, "1", [ [ 3, 110 ] ], 1, "331:3", [ "Z", 331, 1 ],
[ [ [ Z(331)^110 ] ] ] ],
[ 6, 1655, 2, "1", [ [ 5, 66 ] ], 1, "331:5", [ "Z", 331, 1 ],
[ [ [ Z(331)^66 ] ] ] ],
[ 7, 1986, 2, "1", [ [ 6, 55 ] ], 1, "331:6", [ "Z", 331, 1 ],
[ [ [ Z(331)^55 ] ] ] ],
[ 8, 3310, 2, "1", [ [ 10, 33 ] ], 1, "331:10", [ "Z", 331, 1 ],
[ [ [ Z(331)^33 ] ] ] ],
[ 9, 3641, 2, "1", [ [ 11, 30 ] ], 1, "331:11", [ "Z", 331, 1 ],
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[ 10, 4965, 2, "1", [ [ 15, 22 ] ], 1, "331:15", [ "Z", 331, 1 ],
[ [ [ Z(331)^22 ] ] ] ],
[ 11, 7282, 2, "1", [ [ 22, 15 ] ], 1, "331:22", [ "Z", 331, 1 ],
[ [ [ Z(331)^15 ] ] ] ],
[ 12, 9930, 2, "1", [ [ 30, 11 ] ], 1, "331:30", [ "Z", 331, 1 ],
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[ 13, 10923, 2, "1", [ [ 33, 10 ] ], 1, "331:33", [ "Z", 331, 1 ],
[ [ [ Z(331)^10 ] ] ] ],
[ 14, 18205, 2, "1", [ [ 55, 6 ] ], 1, "331:55", [ "Z", 331, 1 ],
[ [ [ Z(331)^6 ] ] ] ],
[ 15, 21846, 2, "1", [ [ 66, 5 ] ], 1, "331:66", [ "Z", 331, 1 ],
[ [ [ Z(331)^5 ] ] ] ],
[ 16, 36410, 2, "1", [ [ 110, 3 ] ], 1, "331:110", [ "Z", 331, 1 ],
[ [ [ Z(331)^3 ] ] ] ],
[ 17, 54615, 2, "1", [ [ 165, 2 ] ], 1, "331:165", [ "Z", 331, 1 ],
[ [ [ Z(331)^2 ] ] ] ],
[ 18, 109230, 2, "1", [ [ 330, 1 ] ], 2, "AGL(1, 331)", [ "Z", 331, 1 ],
[ [ [ Z(331) ] ] ] ]];
PRIMGRP[332]:=
[[ 1, 18132180, 1, "2", [ [ 331, 1 ] ], 2, "PSL(2, 331)",
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[ 2, 36264360, 0, "2", [ [ 331, 1 ] ], 3, "PGL(2, 331)",
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[4, Factorial(332),0,"2",[[331, 1]],332, "Sym(332)", ["A",332, 1], "Sym"]];
PRIMGRP[333]:=
[[1, Factorial(333)/2,1,"2",[[332,1]],331, "Alt(333)", ["A",333, 1], "Alt"],
[2, Factorial(333),0,"2",[[332, 1]],333, "Sym(333)", ["A",333, 1], "Sym"]];
PRIMGRP[334]:=
[[1, Factorial(334)/2,1,"2",[[333,1]],332, "Alt(334)", ["A",334, 1], "Alt"],
[2, Factorial(334),0,"2",[[333, 1]],334, "Sym(334)", ["A",334, 1], "Sym"]];
PRIMGRP[335]:=
[[1, Factorial(335)/2,1,"2",[[334,1]],333, "Alt(335)", ["A",335, 1], "Alt"],
[2, Factorial(335),0,"2",[[334, 1]],335, "Sym(335)", ["A",335, 1], "Sym"]];
PRIMGRP[336]:=
[[ 1, 40320, 0, "2", [ [ 15, 1 ], [ 60, 2 ], [ 30, 2 ], [ 20, 1 ], [ 120, 1 ] ]
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(107,269)(109,259)(113,160)(114,276)(115,146)(116,325)(121,188)
(122,151)(124,224)(125,130)(127,195)(128,302)(131,308)(132,296)
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( 64,108,205, 98)( 67,294,259,290)( 68,239,238,120)( 71,121,149,243)
( 75,102,190,322)( 76,125,138,286)( 80, 96,249,268)( 81, 95,231,304)
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(105,164,234,308)(106,247)(107,133)(109,187,295,136)(110,186,252,269)
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(142,148,309,264)(146,181,262,285)(166,287,281,305)(168,253,293,204)
(184,194)(197,254,232,320)(213,334,274,289)(218,296,319,242)(237,324)
(255,261)(282,283,311,315) ] ],
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[ ( 1,306)( 2,336)( 3,212)( 4,192)( 5,228)( 6,273)( 7,221)( 8,311)
( 9,328)( 10,238)( 11,195)( 12,201)( 13,316)( 14,315)( 15,272)
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( 26, 65)( 27,149)( 28,223)( 29,164)( 30,247)( 31,121)( 32,105)
( 33,198)( 35,128)( 37,124)( 39,314)( 40,270)( 41,123)( 42, 77)
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(136,276)(137,257)(139,226)(140,237)(142,253)(143,171)(144,211)
(147,218)(148,332)(150,183)(151,168)(152,284)(153,295)(155,184)
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326,137)( 10,284, 59,243,207, 63)( 11,310,319, 49, 90,166)
( 12,158,292,168,190,286)( 13,285,119,181, 69,123)( 15, 29,331,213,
229,187)( 16, 36,323,241,309,125)( 17,204,149, 39,336, 86)
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( 4,125,130,123,142,144)( 5,171,233, 59,241,189)( 6,164,271, 58,
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[ 4, 120960, 0, "2", [ [ 45, 1 ], [ 60, 2 ], [ 30, 1 ], [ 20, 1 ], [ 120, 1 ]
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(277,304)(284,290)(288,293)(294,302)(296,297)(298,318)(299,322),
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95, 20,125)( 8, 90, 64,219, 86,137,253,284,208, 89)( 9, 12,181,304,
177,124,116, 53,155, 94)( 10,187, 66,108, 68)( 11, 38, 65,294,196,
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311,170, 37)( 27,247,258,275,195,111,296,245,276,308)
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( 2,112,191, 25,214,257,317,294,145,323, 50,288,310,265)
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84)( 65,251,100,322,320, 78,186)( 74,278,254,180,287,218,120)
( 97,325,150,228,305,313,161) ] ],
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[ ( 1, 2, 4, 6, 10, 16, 24, 36, 54, 78,111,151, 86,120,163)
( 3, 5, 8, 13, 20, 30, 46, 65, 92,127,171,221, 45, 64, 91)
( 7, 12, 18, 28, 42, 59, 85,119,162,211,260,100,137, 40, 57)
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( 19, 29, 44, 62, 89,117,160,208,258,293, 21, 32, 48, 69, 97)
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( 27, 41, 58, 84, 83,118,161,210,131,175,227,190,241,278,308)
( 31, 47, 67, 94,130,129,174,225,255,292,136,183,237,279,309)
( 35, 53, 76,109,148,158,205,254, 98,135,181,235,179,233,216)
( 37, 55, 80,113,155,201,251,291,315,320,197,154,200,250,290)
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( 51, 73,104,141,187, 81,115,157, 77,110,149,195,247,287,261)
( 60, 87,121,164,213,228,271,243,284,252,150,196,248,288,313)
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( 75,108,146,193,245,286,300,232,182,236,274,304,323,333,336)
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220,267,222,268,277,307,325,152,147)(142,188,239,281,297,259,283,312,
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( 16, 25)( 17, 27)( 20, 31)( 23, 35)( 24, 37)( 26, 40)( 28, 43)
( 29, 45)( 32, 49)( 33, 51)( 42, 60)( 44, 63)( 46, 66)( 47, 68)
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( 78, 87)( 80,114)( 82,117)( 85, 92)( 88,123)( 89,124)( 90,126)
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(110,150)(111,152)(112,154)(115,158)(119,139)(121,128)(125,169)
(127,172)(132,177)(133,179)(135,182)(140,186)(144,190)(145,192)
(148,194)(151,197)(153,199)(155,202)(156,204)(159,207)(160,209)
(161,181)(162,212)(163,196)(164,214)(165,216)(166,218)(168,185)
(170,220)(171,222)(174,226)(175,228)(178,232)(180,208)(188,240)
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(217,231)(219,266)(227,251)(229,242)(230,274)(233,258)(234,277)
(235,278)(241,283)(247,282)(249,289)(254,264)(262,295)(263,297)
(268,300)(270,302)(273,285)(279,287)(296,312)(299,306)(301,320)
(303,322)(307,319)(309,321)(315,318)(317,323)(325,327)(328,333)
(332,336) ] ],
[8, Factorial(336)/2,1,"2",[[335,1]],334, "Alt(336)", ["A",336, 1], "Alt"],
[9, Factorial(336),0,"2",[[335, 1]],336, "Sym(336)", ["A",336, 1], "Sym"]];
PRIMGRP[337]:=
[[1, Factorial(337)/2,1,"2",[[336,1]],335, "Alt(337)", ["A",337, 1], "Alt"],
[2, Factorial(337),0,"2",[[336, 1]],337, "Sym(337)", ["A",337, 1], "Sym"],
[ 3, 337, 3, "1", [ [ 1, 336 ] ], 1, "C(337)", [ "Z", 337, 1 ], [ ] ],
[ 4, 674, 2, "1", [ [ 2, 168 ] ], 1, "D(2*337)", [ "Z", 337, 1 ],
[ [ [ Z(337)^168 ] ] ] ],
[ 5, 1011, 2, "1", [ [ 3, 112 ] ], 1, "337:3", [ "Z", 337, 1 ],
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[ 6, 1348, 2, "1", [ [ 4, 84 ] ], 1, "337:4", [ "Z", 337, 1 ],
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[ 7, 2022, 2, "1", [ [ 6, 56 ] ], 1, "337:6", [ "Z", 337, 1 ],
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[ 8, 2359, 2, "1", [ [ 7, 48 ] ], 1, "337:7", [ "Z", 337, 1 ],
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[ 9, 2696, 2, "1", [ [ 8, 42 ] ], 1, "337:8", [ "Z", 337, 1 ],
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[ 10, 4044, 2, "1", [ [ 12, 28 ] ], 1, "337:12", [ "Z", 337, 1 ],
[ [ [ Z(337)^28 ] ] ] ],
[ 11, 4718, 2, "1", [ [ 14, 24 ] ], 1, "337:14", [ "Z", 337, 1 ],
[ [ [ Z(337)^24 ] ] ] ],
[ 12, 5392, 2, "1", [ [ 16, 21 ] ], 1, "337:16", [ "Z", 337, 1 ],
[ [ [ Z(337)^21 ] ] ] ],
[ 13, 7077, 2, "1", [ [ 21, 16 ] ], 1, "337:21", [ "Z", 337, 1 ],
[ [ [ Z(337)^16 ] ] ] ],
[ 14, 8088, 2, "1", [ [ 24, 14 ] ], 1, "337:24", [ "Z", 337, 1 ],
[ [ [ Z(337)^14 ] ] ] ],
[ 15, 9436, 2, "1", [ [ 28, 12 ] ], 1, "337:28", [ "Z", 337, 1 ],
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[ 16, 14154, 2, "1", [ [ 42, 8 ] ], 1, "337:42", [ "Z", 337, 1 ],
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[ 17, 16176, 2, "1", [ [ 48, 7 ] ], 1, "337:48", [ "Z", 337, 1 ],
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[ 18, 18872, 2, "1", [ [ 56, 6 ] ], 1, "337:56", [ "Z", 337, 1 ],
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[ 19, 28308, 2, "1", [ [ 84, 4 ] ], 1, "337:84", [ "Z", 337, 1 ],
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[ 20, 37744, 2, "1", [ [ 112, 3 ] ], 1, "337:112", [ "Z", 337, 1 ],
[ [ [ Z(337)^3 ] ] ] ],
[ 21, 56616, 2, "1", [ [ 168, 2 ] ], 1, "337:168", [ "Z", 337, 1 ],
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PRIMGRP[338]:=
[[ 1, 19136208, 1, "2", [ [ 337, 1 ] ], 2, "PSL(2, 337)",
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[[1, Factorial(339)/2,1,"2",[[338,1]],337, "Alt(339)", ["A",339, 1], "Alt"],
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PRIMGRP[340]:=
[[1, Factorial(340)/2,1,"2",[[339,1]],338, "Alt(340)", ["A",340, 1], "Alt"],
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PRIMGRP[341]:=
[[ 1, 258492255436800, 1, "2", [ [ 340, 1 ] ], 2, "PSL(5, 2^2)",
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[ ( 6,209, 48)( 7,274,287)( 8,191,143)( 9, 25,308)( 11,300,137)
( 12, 50, 69)( 13,212,243)( 14, 57,126)( 15, 47,272)( 16,256, 64)
( 17, 65,257)( 18,121,324)( 19,169,322)( 20,241, 58)( 21, 86,175)
( 22, 67,119)( 23,127,306)( 24,171,275)( 27,110,298)( 28,102,318)
( 29,224,268)( 30,116,207)( 31,260,142)( 32,307,288)( 33,144,276)
( 35,314,204)( 36, 59, 77)( 37, 78, 60)( 38,112,293)( 39,166,240)
( 40,341,234)( 41,235,131)( 42,236,132)( 45,280,220)( 46,326,141)
( 49,265,182)( 51,206,101)( 52,125,251)( 53,107,297)( 54,250,239)
( 55,245,225)( 56,218,310)( 61,252,106)( 62, 79, 75)( 63,285,208)
( 66, 96,154)( 68, 76,153)( 70,329,259)( 71, 99,167)( 72,138,187)
( 73,188,139)( 74,157,269)( 80,170,190)( 81,128,261)( 82,262,129)
( 84,181,286)( 85,210,163)( 87, 97,316)( 88,195,304)( 89,124,202)
( 90,140,113)( 91,333, 92)( 93,317,281)( 94,189,271)( 95,330,320)
( 98,284,305)(100,258,242)(103,221,196)(104,226,135)(105,177,253)
(108,148,109)(111,228,338)(114,147,249)(115,149,278)(117,199,323)
(118,315,183)(120,186,327)(122,337,165)(123,150,312)(136,229,254)
(146,247,283)(151,248,303)(152,319,233)(155,184,176)(156,178,311)
(158,214,219)(159,223,194)(160,334,313)(161,180,255)(162,264,273)
(164,301,321)(168,336,266)(172,289,192)(174,230,335)(179,203,299)
(185,340,198)(197,291,296)(200,231,331)(201,332,232)(205,328,211)
(213,292,339)(215,217,295)(216,222,246)(227,270,244)(267,302,325)
(279,294,282), ( 1,255,108,179, 39, 22, 21,287,286,130,129,128,137,
238,237,236,235, 5, 4, 3, 2)( 6,208,296,282,106,316,315, 49, 48,
83, 82, 81, 35,109,221, 52,240,304,329,328, 7)( 8,174,246,147,157,
94, 13, 12,265,264, 40,135,279,195,269,243,242,170,283, 10, 9)
( 11,295,160,228,119,118,323,280,334,340,318,105,101,100, 85, 84,272,
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27,158, 46,184,183, 23, 56,249)( 15, 54,203,253,123,252,152, 79,270,
19, 18, 95, 37, 36,186,250,145,144,143, 17, 16)( 20,194,313,202,251,
302,301)( 24,335,134,133,132,131,180,216,294,207,189,151,268, 75,305,
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102,116,325,324,210,209,234,159,225,213)( 29, 89,198,206,205,320,247,
297,293, 87, 86,167, 60, 59,260,239,103,281,338,177, 98)
( 30, 61,112,326,126,169,168, 99,223,277,276,275,204, 44, 43, 42, 41,
161,215,245,271)( 31, 78, 77,199,139,138,330,110,196, 62, 97, 96,142,
45, 53,284,125,292,311, 51, 50)( 38,156,319,165,164, 68,291,114,224,
176,175,327,332,331,127,115,219,244,150, 92, 57)( 47,146, 55,248,155,
154,163,162,263,262,261,230,148,214,113,166,339,322,321,274,273)
( 63,278,299,333,111,303,185,141, 93, 70, 69,153,201,200, 71,149,309,
308,307,257,256)( 64,341,298,173,172,171, 65)( 66,241,310,229,233,
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( 80,188,187)( 90,212,211,117,104,136,178) ] ],
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174, 48,282,227,245)( 5,273, 80,144,167,183,327, 36,171,143)
( 6,121, 66,333,270, 26,232,338,134, 12)( 7,288,271,295,334, 41,202,
149,127,251)( 9,308,313,312,117,196,234, 21, 77,157)
( 10,123, 90, 71, 23)( 13,296,300, 97, 93,294,319,249,287,206)
( 14,110, 44, 59,203, 86,155,166,248,229)( 15, 33,140,213, 53,181, 54,
88, 20,169)( 16, 37,305,292,164,104,269, 32, 51,131)( 17,290, 85,336,
254,241,146,172,280,182)( 18,332,341,291,261)( 19,162,152,145,193,
255,158, 22,238,275)( 24, 96, 73,259,331,209,107,272,257, 99)
( 25, 95,101,219,139,217,178, 82,204,147)( 27,321,302,173,320,330,190,
301, 38,210)( 29, 30, 67,168,130,136,138,335,316,102)
( 34,197, 78, 49,304,211,214, 42,246,223)( 39,132,276,262,189,184,315,
119,284, 68)( 40,186,133,114,309,195,236, 74,222,260)
( 43,239,205,337, 62)( 45,191,148,108,116,170,179,126,311,286)
( 46,129,103,324,242, 89,328,113,150,105)( 47,277,106,283,298,180,323,
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141,264,307, 58, 56, 70)( 55,212, 69,235,153,159,299,216,151,160)
( 61,285,250,265,187,233,124,175, 72,200)( 63,111,228,120,198, 94,161,
224, 98,163)( 65,281,208, 81, 92,218,240,100,243,142)
( 76,226,244,317,230,339,154,135,237,112)(118,306,303,176,267)
(137,177,221,194,266)(156,318,256,263,207),
( 1,132,284,255,263,150,191,130, 6, 76,265, 45)( 2,336,171,210,198,
330,182,221,288,257,299, 80)( 3,219,241, 17,135,167, 85,251,180,274,
205, 23)( 4,269,220,133,104,249,101,246,213,119,177, 92)( 5,163)
( 7,138,161, 65,227,327, 83,224,142, 42,239,323)( 8,240,283, 32,216,
293,234,175,157,117,189, 90)( 9,183,278,134,118,226,139, 54,312,144,
244, 88)( 10, 53,294, 22,148,114,243, 93,271,337,124,141)
( 11,111, 14,230,149,179, 35, 46,338, 31,162,156)( 12,159,143,202,102,
81, 57,115,314, 79,158, 40)( 13, 62,282,290,321, 59,308, 16,318,192,
245, 96)( 15,160, 75,199, 61,214, 68,297,298,306,256,203)
( 18,286, 63,109, 56,208, 74, 89, 47,333,273,260)( 19, 71,110, 51, 99,
247, 25, 24,279,176,120,136)( 20,218,197,174,217,164,261,223,121,131,
66,317)( 21,313,339,146)( 26, 34,267,289,332,262)( 27, 52,107,113,
84,295,200,268,291,152,225, 64)( 28, 72,153, 55, 50, 95,281,103, 41,
231,196,307)( 29,108, 91,266,168,242,106,222,340,185, 94,112)
( 30,166, 60,303,328,238, 98,250,259,280,264,322)( 33, 67,169, 37, 97,
43)( 36,237,170,258, 87,235,181, 78,190,315, 70,341)( 38,145,204,140,
129,137,105,188,285,116,309,128)( 39,125,304,154)( 44,215, 48,302,
209,252,316,324, 86,277,207,229)( 49,287,236)( 58,292,326,127,301,
100,300,195,187,320,311,319)( 69,184,334,194,172,151, 77, 82,126,270,
329,123)( 73,212,193)(122,335,147,232,275,248,276,272,296,173,186,233
)(155,253,178,201,331,305,325,211,254,165,228,310) ] ],
[3, Factorial(341)/2,1,"2",[[340,1]],339, "Alt(341)", ["A",341, 1], "Alt"],
[4, Factorial(341),0,"2",[[340, 1]],341, "Sym(341)", ["A",341, 1], "Sym"]];
PRIMGRP[342]:=
[[1, Factorial(342)/2,1,"2",[[341,1]],340, "Alt(342)", ["A",342, 1], "Alt"],
[2, Factorial(342),0,"2",[[341, 1]],342, "Sym(342)", ["A",342, 1], "Sym"]];
PRIMGRP[343]:=
[[ 1, 14224896, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
"PSL(2, 7) wreath Alt(3)", [ "L", [ 2, 7 ], 3 ],
[ ( 1,170,315,230,257, 88,143)( 2,163,217,229,285,137,141, 22,317,314,209,
61, 87,101,148,175,329,279,256, 95, 45)( 3,149,168,231,278,284,144,
43, 23,310,216,208, 89,136, 99,169,322,328,258, 60, 94)
( 4,191, 21,226,264,235,145, 36,121,309,223,306, 90,108, 50,171,301,
181,259, 81,290)( 5,184,119,225,271,333,146, 8, 72,311,202,159, 91,
129,246,172,343, 34,254, 67,241)( 6,156, 70,227,250,186,147, 29,268,
312,244, 12, 86,115,197,173,336,132,253, 74,339)( 7,177,266,228,292,
39,142, 15,219,313,237,110, 85,122,295,174,308, 83,255, 53,192)
( 9, 65,213,201,187,140,127,267,319,342, 13, 58, 66,199,152,189,133,
274,270,340, 48)( 10, 51,164,203,180,287,130,288, 25,338, 20,205, 68,
234,103,183,126,323,272,305, 97)( 11, 93, 17,198,166,238,131,281,123,
337, 27,303, 69,206, 54,185,105,176,273,326,293)( 14, 79,262,200,194,
42,128,260,221,341, 41,107, 64,220,299,188,112, 78,269,298,195)
( 16,212,215,236,138,134,120,316,321,307, 62, 59, 52,150,154,182,280,
277,291, 46, 44)( 18,240, 19,233,117,232,124,330,125,302, 76,304, 55,
157, 56,178,252,179,294, 32,289)( 24,296,167,210, 82,283,102,190, 28,
324,265,207, 96, 38,100,162,224,327,286,109, 92)( 26,331,118,204, 75,
332,104,155, 77,325,251,158, 98, 31,247,165,245, 33,282,116,239)
( 30,261,214,243, 40,135,113,218,320,335,111, 57, 73,297,153,161, 84,
276,249,193, 49)( 35,275,263,242, 47, 37,114,211,222,334,139,106, 71,
318,300,160, 63, 80,248,151,196),
( 1,170,308, 81,281,125,311,200,187,147, 31,247,160, 70,225,271,342,
18,233,110, 94)( 2,156, 63, 78,267,321,312,235,138,143, 3,149,161,
84,274,272,314,214,236,145, 45)( 4,184,112, 80,246,174,315,228,285,
146, 17,198,159, 98, 29,268,307, 67,232,124,339)( 5,191, 14, 79,253,
76,309,221,334,144, 38,100,157, 56,176,273,328,263,237,117,241)
( 6,163,210, 82,288, 27,310,207, 89,141, 24,296,158, 91,127,269,300,
165,238,131,290)( 7,177,259, 83,260,223,313,242, 40,142, 10, 51,155,
77,323,270,335,116,234,103,192)( 8, 72,302, 74,330,123,332,102,185,
105,178,252,181,266,230,264,244, 19,240, 12, 93)( 9, 58, 57, 71,316,
319,333,137,136,101,150,154,182,280,279,265,216,215,243, 47, 44)
( 11, 86,106, 73,295,172,336,130,283,104,164,203,180,294, 34,261,209,
68,239, 26,338)( 13, 65,204, 75,337, 25,331,109, 87, 99,171,301,179,
287,132,262,202,166,245, 33,289)( 15,219,306, 95, 36,121,304, 53,183,
126,325,249,188,119,227,250,195, 21,226,257, 97)( 16,205, 61, 92, 22,
317,305, 88,134,122,297,151,189,133,276,251,167,217,229,292, 48)
( 20,212,208, 96, 43, 23,303, 60, 85,120,318,298,186,140,129,248,153,
168,231,278,293)( 28,324,256, 90,113,220,299,193, 42,128,255, 55,162,
224,327,291, 41,114,206, 54,190)( 30,254, 62, 64,218,320,340, 39,135,
108, 52,148,175,329,277,286,118,213,201,194, 49)( 32,282,111, 66,197,
173,343)( 35,275,258, 69,211,222,341, 46, 37,107, 59, 50,169,322,326,
284,139,115,199,152,196) ] ],
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"PSL(2, 7) wreath Sym(3)", [ "L", [ 2, 7 ], 3 ],
[ ( 1,245,187,107, 81,262, 22,203,194,135, 60,276, 15,224,152,142, 88,255,
29,217,173,100, 95,283, 8,231,166,121, 53,290, 36,210,180,114, 74,
248, 43,238,159,128, 67,269)( 2, 98,185, 9, 84,164, 23, 56,192, 37,
63,178, 16, 77,150, 44, 91,157, 30, 70,171)( 3, 49,189,156, 79, 66,
24, 7,196,184, 58, 80, 17, 28,154,191, 86, 59, 31, 21,175,149, 93,
87, 10, 35,168,170, 51, 94, 38, 14,182,163, 72, 52, 45, 42,161,177,
65, 73)( 4,294,183,205, 82,115, 25,252,190,233, 61,129, 18,273,148,
240, 89,108, 32,266,169,198, 96,136, 11,280,162,219, 54,143, 39,259,
176,212, 75,101, 46,287,155,226, 68,122)( 5,147,186,254, 78,213, 26,
105,193,282, 57,227, 19,126,151,289, 85,206, 33,119,172,247, 92,234,
12,133,165,268, 50,241, 40,112,179,261, 71,199, 47,140,158,275, 64,
220)( 6,343,188,303, 83,311, 27,301,195,331, 62,325, 20,322,153,338,
90,304, 34,315,174,296, 97,332, 13,329,167,317, 55,339, 41,308,181,
310, 76,297, 48,336,160,324, 69,318)( 99,242,285,106,228,264,120,200,
292,134,207,278,113,221,250,141,235,257,127,214,271)(102,291,281,204,
229,117,123,249,288,232,208,131,116,270,246,239,236,110,130,263,267,
197,243,138,109,277,260,218,201,145,137,256,274,211,222,103,144,284,
253,225,215,124)(104,340,286,302,230,313,125,298,293,330,209,327,118,
319,251,337,237,306,132,312,272,295,244,334,111,326,265,316,202,341,
139,305,279,309,223,299,146,333,258,323,216,320)(300,342,335,307,328,
314,321), ( 1,213, 99,234,148,241,246,206)( 2,215,100,236,149,243,
247,208)( 3,211,101,232,150,239,248,204)( 4,214,102,235,151,242,
249,207)( 5,212,103,233,152,240,250,205)( 6,216,104,237,153,244,
251,209)( 7,217,105,238,154,245,252,210)( 8, 17,113,136,183,192,
288,255)( 9, 19,114,138,184,194,289,257)( 10, 15,115,134,185,190,
290,253)( 11, 18,116,137,186,193,291,256)( 12, 16,117,135,187,191,
292,254)( 13, 20,118,139,188,195,293,258)( 14, 21,119,140,189,196,
294,259)( 22,311,127, 87,169,339,274, 59)( 23,313,128, 89,170,341,
275, 61)( 24,309,129, 85,171,337,276, 57)( 25,312,130, 88,172,340,
277, 60)( 26,310,131, 86,173,338,278, 58)( 27,314,132, 90,174,342,
279, 62)( 28,315,133, 91,175,343,280, 63)( 29, 66,120,332,176, 94,
267,304)( 30, 68,121,334,177, 96,268,306)( 31, 64,122,330,178, 92,
269,302)( 32, 67,123,333,179, 95,270,305)( 33, 65,124,331,180, 93,
271,303)( 34, 69,125,335,181, 97,272,307)( 35, 70,126,336,182, 98,
273,308)( 36,164,141,283,155, 45,260,108)( 37,166,142,285,156, 47,
261,110)( 38,162,143,281,157, 43,262,106)( 39,165,144,284,158, 46,
263,109)( 40,163,145,282,159, 44,264,107)( 41,167,146,286,160, 48,
265,111)( 42,168,147,287,161, 49,266,112)( 50,220,295,227)
( 51,222,296,229)( 52,218,297,225)( 53,221,298,228)( 54,219,299,226)
( 55,223,300,230)( 56,224,301,231)( 71,318,323, 80)( 72,320,324, 82)
( 73,316,325, 78)( 74,319,326, 81)( 75,317,327, 79)( 76,321,328, 83)
( 77,322,329, 84)(197,199)(198,201) ] ],
[ 3, 48009024000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
"Alt(7) wreath Alt(3)", [ "A", 7, 3 ],
[ ( 1,291, 89, 9,244,103, 18, 94,306, 34,141,264, 38,338,229)
( 2,242, 54, 11, 97,110, 20,143,313, 31,337,278, 36,289,236)
( 3,340, 82, 8,293,138, 16,241,299, 32, 92,257, 41,142,215)
( 4, 95, 61, 13,146,117, 17,339,327, 29,288,285, 37,240,201)
( 5, 46, 96, 12, 48,145, 19, 45,341, 33, 43,292, 40, 44,243)
( 6,144, 68, 10,342,131, 15,290,334, 30,239,250, 39, 93,208)
( 7,193, 75, 14,195,124, 21,192,320, 35,190,271, 42,191,222)
( 22,294,187, 23,245,152, 25, 98,159, 27,147,166, 24,343,180)
( 26, 49,194)( 28,196,173)( 50,256, 90,107,216,101,312, 80,302,279,
134,261,234,296,228)( 51,207, 55,109, 69,108,314,129,309,276,330,275,
232,247,235)( 52,305, 83,106,265,136,310,227,295,277, 85,254,237,100,
214)( 53, 60, 62,111,118,115,311,325,323,274,281,282,233,198,200)
( 56,158, 76,112,167,122,315,178,316,280,183,268,238,149,221)
( 57,258,139,114,213,297,326, 78,253,286,135,212,199,298, 81)
( 58,209,104,116, 66,304,328,127,260,283,331,226,197,249, 88)
( 59,307,132,113,262,332,324,225,246,284, 86,205,202,102, 67)
( 63,160,125,119,164,318,329,176,267,287,184,219,203,151, 74)
( 64,255,335,128,211,248,333, 79,204,251,137, 65,206,300,130)
( 70,157,321,133,162,269,336,177,218,252,186, 72,210,153,123)
( 71,259,188,121,217,150,319, 84,155,272,140,163,220,301,179)
( 73,308,181,120,266,185,317,231,148,270, 91,156,223,105,165)
( 77,161,174,126,168,171,322,182,169,273,189,170,224,154,172)
( 87,303,230, 99,263),
( 1,258,222,133, 65,339, 36,256,173,105, 69,241, 29,254,320,140, 67,192
)( 2,307,236,130,163,297, 41,207,180,100,314,234, 32,156,299,139,
214,178)( 3, 13,208,131,114,311, 38, 11,159,103,118,213, 31, 9,306,
138,116,164)( 4,160,201,132,212,325, 37,305,187,102,167,199, 34,205,
327,135,312,185)( 5,111,215,129, 16,304, 40,109,166,101, 20,206, 33,
107,313,136, 18,157)( 6,209,229,128,310,332, 39,158,152,104,216,227,
30,303,334,137,165,150)( 7, 62,243,127,261,318, 42, 60,194, 99,265,
220, 35, 58,341,134,263,171)( 8,257,124,119, 66, 45)
( 10, 12,110,117,115, 17)( 14, 61,145,113,262, 24)( 15,255, 26,112,
68,143)( 19,108)( 21, 59, 47,106,264,122)( 22,259, 75,147, 64,290)
( 23,308, 89,144,162,248, 27,210, 82,142,309,283, 25,161, 54,146,211,
276)( 28, 63, 96,141,260,269)( 43,253,271,126, 70, 94)
( 44,302,285,123,168, 52, 48,204,278,121,315, 87, 46,155,250,125,217,
80)( 49, 57,292,120,266, 73)( 50,293,218,280, 72,343, 85,291,169,
252, 76,245, 78,289,316,287, 74,196)( 51,342,232,277,170,301, 90,242,
176,247,321,238, 81,191,295,286,221,182)( 53,195,197,279,219,329, 86,
340,183,249,174,203, 83,240,323,282,319,189)( 55,244,225,275,317,336,
88,193,148,251,223,231, 79,338,330,284,172,154)( 56, 97,239,274,268,
322, 91, 95,190,246,272,224, 84, 93,337,281,270,175)( 71,294)
( 77, 98, 92,288,267,273)(149,300,237,228,177,296,335,235,179)
(151,153,202,230,226,324,331,333,186)(181,198,328,233,326,184,298,188,
200) ] ],
[ 4, 96018048000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
"Alt(7)^3.6", [ "A", 7, 3 ],
[ ( 1,291,324,203,258,163,103,281, 93,297,273, 9,151,278,233, 55,262,121)
( 2,249,275,198,251,261,100,246,289,296,252,254,149,250,282, 51,248,
268)( 3,270, 30,200,279,212,104,260,142,295,294,303,154,257,184, 54,
283, 72)( 4,277,226,202,265,114, 99,288,338,301,259,156,152,285, 86,
52,269, 23)( 5,284, 79,199,272, 16,102,274,240,300,266,107,148,292,
331, 56,255,170)( 6,263,128,197,293,310,105,253,191,299,287, 58,150,
271, 37, 53,276,219)( 7,256,177,201,286, 65,101,267, 44,298,280,205,
153,264,135, 50,290,317)( 8,193,327,238, 62,164,124, 36, 95,325,224,
13,165,131,232, 97,311,126)( 10,172, 33,235, 83,213,125, 15,144,323,
245,307,168,110,183, 96,332, 77)( 11,179,229,237, 69,115,120, 43,340,
329,210,160,166,138, 85, 94,318, 28)( 12,186, 82,234, 76, 17,123, 29,
242,328,217,111,162,145,330, 98,304,175)( 14,158,180,236, 90, 66,122,
22, 46,326,231,209,167,117,134, 92,339,322)( 18,130,225,244,314,119,
106,190,341,336, 63,157,173, 40, 88, 80,220, 27)( 19,137, 78,241,321,
21,109,176,243,335, 70,108,169, 47,333, 84,206,174)( 20,116,127,239,
342,315,112,155,194,334, 91, 59,171, 26, 39, 81,227,223)
( 24, 25, 32,228,230,216,118,113,141,337,343,308,161,159,187, 89, 87,
73)( 31,221, 34,214,132,211,146,309,147,302,196,306,189, 61,185, 75,
38, 74)( 35,207,181,215,139, 64,143,316, 49,305,182,208,188, 68,136,
71, 45,319)( 41, 67,129,218, 48,312,133,204,195,313,140, 57,192,320,
42, 60,178,222), ( 1,202,207,326,177,169, 50,199,242,130,182,183,
246,201,214, 32,181,155,295,198,221, 81,178,190, 99,203,235,277,180,
162)( 2,223, 60,325,191,120, 56,234,291,131,168, 36,251,208,312, 30,
174, 57,297,240,123, 84,185,288,103,217, 39,279,159,309)
( 3,244,109,329,184,267, 54,213, 46,132,161,330,247,222, 67, 31,195,
106,301,233,270, 82,164, 43,104,210,333,275,173, 64)( 4,230,158,323,
149,218, 53,227,193,127,154,232,249,229,165, 29,153,204,298,226,172,
78,150,239,102,231,186,274,152,211)( 5,216, 11,328,156,316, 51,220,
95,129,196,134,252,236,263, 33,167, 8,300,205,319, 79,171, 92,101,
245,137,280,187,260)( 6,209,305,324,170, 71, 52,241,144,133,189,281,
250,215, 18, 34,160,302,296,219, 74, 80,192,141,105,238,284,278,166,
15)( 7,237,256,327,163, 22, 55,206,340,128,175, 85,248,243,116, 35,
188,253,299,212, 25, 83,157,337,100,224, 88,276,194,113)
( 9,321, 58,318, 93,122, 98,136,294,138,266, 40,265, 12,314)
( 10,342,107,322, 86,269, 96,115, 49,139,259,334,261, 26, 69)
( 13,307,303,317, 72, 73, 94,143,147,140,287,285,264, 19, 20)
( 14,335,254,320, 65, 24, 97,108,343,135,273, 89,262, 47,118)
( 16, 27, 62,304,338,121, 77, 87,290,145,119, 42,286,257,313)
( 17, 48,111,308,331,268, 75, 66, 45,146,112,336,282,271, 68)
( 21, 41,258,306,310, 23, 76, 59,339,142,126, 91,283,292,117)
( 28, 90,255,341,114)( 37,272, 61,311, 44,125, 63,332,289,124, 70, 38,
293,110,315)(148,197,200,228,179,176)(151,225) ] ],
[ 5, 96018048000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
"Alt(7) wreath Sym(3)", [ "A", 7, 3 ],
[ ( 1, 33,201,231,105,132,153,178,297,326,249,275, 51, 78)( 2, 82,197, 35,
103,230,154,129,300,179,248,324, 53,274)( 3,327,200,280,100, 83,148,
31,299,228,252,128, 55,176)( 4,278,198, 84, 99, 34,152,227,301,130,
251,177, 52,323)( 5,229,203,133,104,181,150,325,298,277,247, 79, 50,
29)( 6,180,199,329,102,279,149, 80,295, 32,250,226, 56,127)
( 7,131,202,182,101,328,151,276,296, 81,246, 30, 54,225)
( 8, 19,236,210,119,139,160,164,332,305,263,282, 58, 64, 36, 12,215,
238,112,118,188,157,311,333,256,261, 86, 57, 15, 40,208,217,140,111,
167,185,304,312,284,254, 65, 85)( 9, 68,232, 14,117,237,161,115,335,
158,262,331, 60,260, 37, 61,211, 42,110,216,189,108,314,186,255,310,
88,253, 16, 89,204, 21,138,209,168,136,307,165,283,303, 67,281)
( 10,313,235,259,114, 90,155, 17,334,207,266,135, 62,162, 38,306,214,
287,107, 69,183)( 11,264,233, 63,113, 41,159,213,336,109,265,184, 59,
309, 39,257,212, 91,106, 20,187,206,315,137,258,163, 87,302, 18,285,
205, 70,134, 13,166,234,308,116,286,156, 66,330)( 22, 47,222,245,126,
146,174,192,318,340,270,289, 72, 92)( 23, 96,218, 49,124,244,175,143,
321,193,269,338, 74,288)( 24,341,221,294,121, 97,169, 45,320,242,273,
142, 76,190)( 25,292,219, 98,120, 48,173,241,322,144,272,191, 73,337)
( 26,243,224,147,125,195,171,339,319,291,268, 93, 71, 43)
( 27,194,220,343,123,293,170, 94,316, 46,271,240, 77,141)
( 28,145,223,196,122,342,172,290,317, 95,267, 44, 75,239),
( 1, 86,181,220,145,309, 2, 90,178,222,141,310, 6, 87,180,218,142,
314, 3, 89,176,219,146,311, 5, 85,177,223,143,313)( 4, 88,179,221,
144,312)( 7, 91,182,224,147,315)( 8,282,160,269,110,260, 9,286,
157,271,106,261, 13,283,159,267,107,265, 10,285,155,268,111,262, 12,
281,156,272,108,264)( 11,284,158,270,109,263)( 14,287,161,273,112,266
)( 15, 37,188,171,124,113, 16, 41,185,173,120,114, 20, 38,187,169,
121,118, 17, 40,183,170,125,115, 19, 36,184,174,122,117)
( 18, 39,186,172,123,116)( 21, 42,189,175,126,119)( 22,135,167, 24,
138,162, 23,139,164, 26,134,163, 27,136,166)( 25,137,165)
( 28,140,168)( 29,233,195,318,103, 64, 30,237,192,320, 99, 65, 34,234,
194,316,100, 69, 31,236,190,317,104, 66, 33,232,191,321,101, 68)
( 32,235,193,319,102, 67)( 35,238,196,322,105, 70)( 43,331,153, 73,
131,211, 44,335,150, 75,127,212, 48,332,152, 71,128,216, 45,334,148,
72,132,213, 47,330,149, 76,129,215)( 46,333,151, 74,130,214)
( 49,336,154, 77,133,217)( 50, 79,230,241,341,295, 51, 83,227,243,337,
296, 55, 80,229,239,338,300, 52, 82,225,240,342,297, 54, 78,226,244,
339,299)( 53, 81,228,242,340,298)( 56, 84,231,245,343,301)
( 57,275,209,290,306,246, 58,279,206,292,302,247, 62,276,208,288,303,
251, 59,278,204,289,307,248, 61,274,205,293,304,250)( 60,277,207,291,
305,249)( 63,280,210,294,308,252)( 92,324,202, 94,327,197, 93,328,
199, 96,323,198, 97,325,201)( 95,326,200)( 98,329,203)
(253,254,258,255,257) ] ],
[ 6, 96018048000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
"Alt(6)^3.Sym(3)", [ "A", 7, 3 ],
[ ( 1, 44,244,206, 57, 72,272,262,162,177,328,332,134,100, 6, 45,239,205,
62, 73,267,261,167,178,323,331,139,101)( 2, 48,241,204, 58, 76,269,
260,163,181,325,330,135,104, 3, 43,240,209, 59, 71,268,265,164,176,
324,335,136, 99)( 4, 47,245,207, 61, 77,270,264,168,179,327,336,137,
103, 7, 46,243,210, 60, 75,273,263,166,182,326,334,140,102, 5, 49,
242,208, 63, 74,271,266,165,180,329,333,138,105)( 8, 93,223,255, 64,
170,279,311,183,128,300, 38,141,198, 13, 94,218,254, 69,171,274,310,
188,129,295, 37,146,199)( 9, 97,220,253, 65,174,276,309,184,132,297,
36,142,202, 10, 92,219,258, 66,169,275,314,185,127,296, 41,143,197)
( 11, 96,224,256, 68,175,277,313,189,130,299, 42,144,201, 14, 95,222,
259, 67,173,280,312,187,133,298, 40,147,200, 12, 98,221,257, 70,172,
278,315,186,131,301, 39,145,203)( 15,191,230,304, 85,121,251, 17,190,
226,307, 87,120,247, 20,192,225,303, 90,122,246, 16,195,227,302, 86,
125,248)( 18,194,231,305, 89,126,249, 19,196,228,306, 91,123,250, 21,
193,229,308, 88,124,252)( 22,289,216,157, 78,317,286,115,148, 30,342,
234,106, 51, 27,290,211,156, 83,318,281,114,153, 31,337,233,111, 52)
( 23,293,213,155, 79,321,283,113,149, 34,339,232,107, 55, 24,288,212,
160, 80,316,282,118,150, 29,338,237,108, 50)( 25,292,217,158, 82,322,
284,117,154, 32,341,238,109, 54, 28,291,215,161, 81,320,287,116,152,
35,340,236,112, 53, 26,294,214,159, 84,319,285,119,151, 33,343,235,
110, 56), ( 1,130, 54,118,341,163,330,226, 91,209, 49,158)
( 2,137,201,119,306, 16,333,198,140,208, 21,305)( 3,123,250,115,320,
261,332,219,287,206, 28,256)( 4,102,103,117,313,310,331,233,238,210,
14, 11)( 5,116,299,114,334,212,336,205, 42,207, 7,109)
( 6,144,152,113,327, 65,335,240,189,204, 35, 60)( 8, 32, 53,104,145,
166,309,324, 86,237,245,161)( 9, 39,200,105,110, 19,312,296,135,236,
217,308)( 10, 25,249,101,124,264,311,317,282,234,224,259)
( 12, 18,298,100,138,215,315,303, 37,235,203,112)( 13, 46,151, 99,131,
68,314,338,184,232,231, 63)( 15,326, 51,139,243,168,302, 30, 88,202,
147,159)( 17,319,247,136,222,266,304, 23,284,199,126,257)
( 20,340,149,134,229, 70,307, 44,186,197,133, 61)( 22,277, 52,125,292,
164,316,275, 87,223,294,157)( 24,270,248,122,271,262,318,268,283,220,
273,255)( 26,263,297,121,285,213,322,254, 38,221,252,108)
( 27,291,150,120,278, 66,321,289,185,218,280, 59)( 29, 81, 55,146,194,
162,323, 79, 90,244,196,155)( 31, 74,251,143,173,260,325, 72,286,241,
175,253)( 33, 67,300,142,187,211,329, 58, 41,242,154,106)
( 34, 95,153,141,180, 64,328, 93,188,239,182, 57)( 36,228, 56,111, 47,
165,295,128, 89,216,343,156)( 40,214,301,107)( 43,179, 50,132, 96,
167,337,177, 85,230, 98,160)( 45,172,246,129, 75,265,339,170,281,227,
77,258)( 48,193,148,127, 82, 69,342,191,183,225, 84, 62)
( 71,279, 94,174,288,178)( 73,272,290,171,267,276)( 76,293,192,169,
274, 80)( 78, 83, 97,195,190,176)( 92,181) ] ],
[ 7, 192036096000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
"Alt(7)^3.Alt(4)", [ "A", 7, 3 ],
[ ( 1,228, 7, 81, 21, 79,168, 58,162,205,148,207)( 2,179, 14, 78,217, 51,
165, 9,176,210, 50,214)( 3,130, 49, 83,315, 72,164,107,190,209,295,
221)( 4, 32, 35, 84, 70, 65,163,156,155,204,197,200)
( 5,277, 42, 82,266, 86,166,254,183,208,246,235)( 6,326, 28, 80,119,
93,167,303,169,206, 99,242)( 8,225,203, 53, 18, 30,182, 63, 64,212,
149,158)( 10,127,245, 55,312, 23,178,112, 92,216,296,172)
( 11, 29,231, 56, 67, 16,177,161, 57,211,198,151)( 12,274,238, 54,263,
37,180,259, 85,215,247,186)( 13,323,224, 52,116, 44,181,308, 71,213,
100,193)( 15,226,154, 60)( 17,128,196, 62,309,219,150,109, 43,230,
301, 74)( 19,275,189, 61,260,233,152,256, 36,229,252, 88)
( 20,324,175, 59,113,240,153,305, 22,227,105, 95)( 24,129,147, 97,314,
317,171,108,141,244,300,319)( 25, 31,133, 98, 69,310,170,157,106,239,
202,298)( 26,276,140, 96,265,331,173,255,134,243,251,333)
( 27,325,126, 94,118,338,174,304,120,241,104,340)( 33,280, 91, 68,261,
184,159,253,232,201,249, 39)( 34,329, 77, 66,114,191,160,302,218,199,
102, 46)( 38,131,294, 90,313,268,185,110,288,237,299,270)
( 40,278,287, 89,264,282,187,257,281,236,250,284)( 41,327,273, 87,117,
289,188,306,267,234,103,291)( 45,132,343, 76,311,121,192,111,337,223,
297,123)( 47,279,336, 75,262,135,194,258,330,222,248,137)
( 48,328,322, 73,115,142,195,307,316,220,101,144)(122,143,146,342,321,
318)(124,290,139,341,272,332)(125,339)(136,145,293,335,320,269)
(138,292,286,334,271,283),
( 1, 89,114, 45, 50,138, 16, 94, 99, 40, 65,143)( 2, 87,113, 47, 51,
136, 15, 96,100, 38, 64,145)( 3, 85,117, 44, 52,134, 19, 93,101, 36,
68,142)( 4, 88,116, 46, 53,137, 18, 95,102, 39, 67,144)
( 5, 86,115, 43, 54,135, 17, 92,103, 37, 66,141)( 6, 90,118, 48, 55,
139, 20, 97,104, 41, 69,146)( 7, 91,119, 49, 56,140, 21, 98,105, 42,
70,147)( 8, 61,107, 10, 57,110, 9, 59,106, 12, 58,108)( 11, 60,109)
( 13, 62,111)( 14, 63,112)( 22, 75,121, 24, 71,124, 23, 73,120, 26,
72,122)( 25, 74,123)( 27, 76,125)( 28, 77,126)( 29, 82,128, 31, 78,
131, 30, 80,127, 33, 79,129)( 32, 81,130)( 34, 83,132)( 35, 84,133)
(148,334,261,192,295,285,163,339,246,187,310,290)(149,332,260,194,296,
283,162,341,247,185,309,292)(150,330,264,191,297,281,166,338,248,183,
313,289)(151,333,263,193,298,284,165,340,249,186,312,291)
(152,331,262,190,299,282,164,337,250,184,311,288)(153,335,265,195,300,
286,167,342,251,188,314,293)(154,336,266,196,301,287,168,343,252,189,
315,294)(155,306,254,157,302,257,156,304,253,159,303,255)
(158,305,256)(160,307,258)(161,308,259)(169,320,268,171,316,271,170,
318,267,173,317,269)(172,319,270)(174,321,272)(175,322,273)
(176,327,275,178,323,278,177,325,274,180,324,276)(179,326,277)
(181,328,279)(182,329,280)(197,236,212,241)(198,234,211,243)
(199,232,215,240)(200,235,214,242)(201,233,213,239)(202,237,216,244)
(203,238,217,245)(204,208,205,206)(218,222,219,220)(225,229,226,227)
] ],
[ 8, 192036096000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
"Alt(7)^3 wreath D_12", [ "A", 7, 3 ],
[ ( 1,337, 64, 22,190, 85,218,176,134,204,274, 99,302,260)( 2,343, 68, 27,
192, 88,219,182,138,209,276,102,303,266, 5,342, 66, 25,191, 91,222,
181,136,207,275,105,306,265, 3,340, 65, 28,194, 90,220,179,135,210,
278,104,304,263)( 4,338, 70, 26,195, 87,221,177,140,208,279,101,305,
261, 7,341, 69, 24,193, 86,224,180,139,206,277,100,308,264, 6,339,
67, 23,196, 89,223,178,137,205,280,103,307,262)( 8,288, 50,316,162,
36,239, 78,120,155,281,197,323,113)( 9,294, 54,321,164, 39,240, 84,
124,160,283,200,324,119, 12,293, 52,319,163, 42,243, 83,122,158,282,
203,327,118, 10,291, 51,322,166, 41,241, 81,121,161,285,202,325,116)
( 11,289, 56,320,167, 38,242, 79,126,159,286,199,326,114, 14,292, 55,
318,165, 37,245, 82,125,157,284,198,329,117, 13,290, 53,317,168, 40,
244, 80,123,156,287,201,328,115)( 15, 43, 92, 71,169,183,232,225,127,
106,253,246,295,309)( 16, 49, 96, 76,171,186,233,231,131,111,255,249,
296,315, 19, 48, 94, 74,170,189,236,230,129,109,254,252,299,314, 17,
46, 93, 77,173,188,234,228,128,112,257,251,297,312)( 18, 44, 98, 75,
174,185,235,226,133,110,258,248,298,310, 21, 47, 97, 73,172,184,238,
229,132,108,256,247,301,313, 20, 45, 95, 72,175,187,237,227,130,107,
259,250,300,311)( 29,141, 57,267,148,330,211)( 30,147, 61,272,150,
333,212, 35,145, 62,269,151,331,217, 33,146, 59,270,149,336,215, 34,
143, 60,268,154,334,216, 31,144, 58,273,152,335,213, 32,142, 63,271,
153,332,214), ( 1,203,229,138,184,195, 69, 18, 14,280,127,100,240,
96, 88,158,258,260)( 2,245, 82,137,156,293, 64, 4,210,278,134,149,
244, 68, 39,161,279,113)( 3,224,327,136,170,342, 66, 25,308,276,120,
296,241, 75,333,157,272,309)( 5,238,180,139,163, 48, 70, 32,112,275,
141, 51,242, 61,284,155,251,211)( 6,217, 33,140,177,146, 65, 46, 63,
277,106,247,239, 54,235,159,286,162)( 7,231,131,135,191, 97, 67, 11,
259,274, 99,198,243, 89,186,160,265, 15)( 8,252,225,103,233,194, 90,
165, 13,266, 29,105,226,145, 86,193, 62,263)( 9,294, 78,102,205,292,
85,151,209,264, 36,154,230,117, 37,196, 83,116)( 10,273,323,101,219,
341, 87,172,307,262, 22,301,227,124,331,192, 76,312)( 12,287,176,104,
212, 47, 91,179,111,261, 43, 56,228,110,282,190, 55,214)
( 16, 49, 84,130,107,289, 92, 53,207,257,281,148,202,215, 40,189,181,
118)( 17, 28,329,129,121,338, 94, 74,305,255,267,295,199,222,334,185,
174,314)( 19, 42,182,132,114, 44, 98, 81,109,254,288, 50,200,208,285,
183,153,216)( 20, 21, 35,133,128,142, 93, 95, 60,256,253,246,197,201,
236,187,188,167)( 23,343, 80,123,303,290, 71,298,206,271,330,150,223,
313, 38,175,328,115)( 24,322,325,122,317,339, 73,319,304,269,316,297,
220,320,332,171,321,311)( 26,336,178,125,310, 45, 77,326,108,268,337,
52,221,306,283,169,300,213)( 27,315, 31,126,324,143, 72,340, 59,270,
302,248,218,299,234,173,335,164)( 30,147, 79,144, 58,291, 57,249,204,
250,232,152,237,166, 41,168, 34,119) ] ],
[ 9, 384072192000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
"Sym(7) wreath Alt(3)", [ "A", 7, 3 ],
[ ( 1, 3,248,276,279,230,244,239, 43)( 2,101,255,278,181,223,245, 92, 15)
( 4,297,283,277,328,237,242,337, 36)( 5,150,269,280, 83,216,240,141,
8)( 6,199,290,274, 34,202,241,288, 29)( 7, 52,262,275,132,209,243,
190, 22)( 9,103,157,271,182, 76,217, 93,113)( 10,250,178,272,231,
97,211, 44, 99)( 11,299,185,270,329, 90,214,338,134)
( 12,152,171,273, 84, 69,212,142,106)( 13,201,192,267, 35, 55,213,289,
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224, 98, 64)( 17,247,129,258,229,195,218, 49, 50)( 18,296,136,256,
327,188,221,343, 85)( 19,149,122,259, 82,167,219,147, 57)
( 20,198,143,253, 33,153,220,294, 78)( 21, 51,115,254,131,160,222,196,
71)( 23,105, 59,264,177,125,210, 96,162)( 24,252, 80,265,226,146,204,
47,148)( 25,301, 87,263,324,139,207,341,183)( 26,154, 73,266, 79,118,
205,145,155)( 27,203, 94,260, 30,104,206,292,176)( 28, 56, 66,261,
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( 32,300,234,291,323, 41,200,339,281)( 37,102,304,285,179,321,238, 95,
309)( 38,249,325,286,228,342,232, 46,295)( 39,298,332,284,326,335,
235,340,330)( 40,151,318,287, 81,314,233,144,302)( 42, 53,311,282,
130,307,236,193,316)( 58,117,156,124,161, 75,168, 72,119)
( 60,313,184,123,308, 89,165,317,140)( 61,166,170,126, 63, 68,163,121,
112)( 65,114,107,110,159,173,175, 77, 70)( 67,310,135,109,306,187,
172,322, 91)( 74,315, 86,116,303,138,158,320,189)( 88,312,331,137,
305,334,186,319,336),
( 1,295,323,329,133,140,139,188,167,166,264,292,289, 44, 2)
( 3, 50,316,326,231,112,136, 90,174,165,215,257,290, 93, 23, 4,197,
302,325, 84,126,137,237,160,164, 68,271,291,240, 9)( 5,246,337,324,
35,105,134,335,181,168,117,285,293,191, 16)( 6,148,309,327,280,147,
135, 41,153,162,313,278,294,142, 37)( 7, 99,330,328,182,119,138,286,
195,163, 19,250,288,338, 30)( 8,297, 78,322,130,238,111,185, 69,173,
263,243,254, 45, 51, 22,298,225,308,129, 91,125,186,216,159,262, 96,
268, 46,198)( 10, 52, 71,319,228,210,108, 87, 76,172,214,208,255, 94,
72, 25,200,204,304, 80, 77,123,235,209,157, 66, 75,270,242,205)
( 11,199, 57,318, 81,224,109,234, 62,171, 67,222,256,241, 58, 24, 53,
218,305,227, 63,122, 88,223,158,213, 61,269, 95,219)( 12,248, 92,317,
32,203,106,332, 83,175,116,236,258,192, 65, 26,249,239,303, 31, 56,
120,333,230,161,115, 89,272,193,212)( 13,150, 64,320,277,245,107, 38,
55,169,312,229,259,143, 86, 27,151,211,306,276, 98,121, 39,202,155,
311, 82,273,144,233)( 14,101, 85,321,179,217,110,283, 97,170, 18,201,
253,339, 79, 28,102,232,307,178, 70,124,284,244,156, 17, 54,267,340,
226)( 15,299,274,343,128, 42,104,183,314,180,266,145,282, 48,149)
( 20,152,260,341,275, 49,100, 36,300,176,315,131,287,146,184)
( 21,103,281,342,177)( 29,301,127,336,132,189,118,187,265,194,261, 47,
247, 43,296)( 33,252,141,331, 34,154,113,334,279,196,114, 40,251,190,
310)( 59, 73, 74,221,207,206)( 60,220) ] ],
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250,240, 90,312,120,280)( 3,194,234,167,318,176,248,191, 87,165,122,
182)( 4,145,238, 20,320,225,251,338, 85,263,121, 84)
( 5,243,237,314,316,274,247, 93, 88,116,126, 35)( 6,341,232,265,317,
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( 10,159,206,160,304,155,255,156, 59,158,108,161)( 11,110,210, 13,306,
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( 22,278,198, 97,333,113,273, 30, 54,242,139,315)( 24,180,199,195,332,
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( 28, 33,201,244,335,309,267,275, 51, 95,137,119)( 31,152,241,188,311,
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( 37, 68,221,132,301, 43,285,212, 76,326, 99,294)( 38,166,220,181,297,
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105, 49)( 45,187,213,174,325,148,290,184, 66,172,129,154)
(150,192,185,164,171,178),
( 1, 13,106, 22, 11,155, 15, 9,253, 36, 10,204, 43, 14,302)
( 2,258,134, 24,207,190, 21,303,246, 41,108,218, 46,161,309)
( 3,209,141, 28,305,148, 20,107,267, 39,157,211, 44,259,330)
( 4,160,113, 23,256,183, 17,205,288, 42,304,197, 48,112,316)
( 5, 62,127, 26, 60,176, 19, 58,274, 40, 59,225, 47, 63,323)
( 6,111,120, 25,158,162, 16,254,281, 38,206,239, 49,308,295)
( 7,307, 99, 27,109,169, 18,156,260, 37,255,232, 45,210,337)
( 12, 57, 29)( 30,257, 85, 31,208, 92, 35,306, 50, 34,110, 71, 32,159,
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( 53,181,117, 72,277,187, 66,226,292, 91,325,201, 97,133,320)
( 54, 83,131, 75, 81,180, 68, 79,278, 89, 80,229, 96, 84,327)
( 55,132,124, 74,179,166, 65,275,285, 87,227,243, 98,329,299)
( 56,328,103, 76,130,173, 67,177,264, 86,276,236, 94,231,341)
(100,272,137,171,214,191,266,331,248,237,143,224,340,154,314)
(101,223,144,175,312,149,265,135,269,235,192,217,338,252,335)
(102,174,116,170,263,184,262,233,290,238,339,203,342,105,321)
(104,125,123,172,165,163,261,282,283,234,241,245,343,301,300)
(114,268,284,185,213,240,294,336,297,202,146,126,319,151,167)
(115,219,291,189,311,198,293,140,318,200,195,119,317,249,188)
(118,121,270,186,164,212,289,287,332,199,244,147,322,298,153)
(122,221,193,168,310,247,286,136,220,242,196,315,296,251,139)
(142,273,333,150,216) ] ],
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[ ( 1, 5, 33,131,132,146,244,240,233, 86, 85, 50)( 2, 40, 82,127,104, 48,
243,226,135, 90, 92,197)( 3, 26,278,133,111,195,241,219,282, 91, 57,
148)( 4, 19,327,130,118,342,242,212,331, 88, 64,295)
( 6, 47,229,128,139, 97,239,198, 37, 89, 78, 99)( 7, 12,180,129,125,
293,245,205,184, 87, 71,246)( 8,152, 31,124,279,147,209,191,234, 72,
281, 56)( 9,187, 80,120,251, 49,208,177,136, 76,288,203)
( 10,173,276,126,258,196,206,170,283, 77,253,154)( 11,166,325,123,265,
343,207,163,332, 74,260,301)( 13,194,227,121,286, 98,204,149, 38, 75,
274,105)( 14,159,178,122,272,294,210,156,185, 73,267,252)
( 15,299, 32,117,328,144,216,338,235, 65,330, 53)( 16,334, 81,113,300,
46,215,324,137, 69,337,200)( 17,320,277,119,307,193,213,317,284, 70,
302,151)( 18,313,326,116,314,340,214,310,333, 67,309,298)
( 20,341,228,114,335, 95,211,296, 39, 68,323,102)( 21,306,179,115,321,
291,217,303,186, 66,316,249)( 22,250, 35,110,181,143,223,289,238, 58,
183, 52)( 23,285, 84,106,153, 45,222,275,140, 62,190,199)
( 24,271,280,112,160,192,220,268,287, 63,155,150)( 25,264,329,109,167,
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( 29,103, 34,145,230,142,237, 93,232, 51, 36, 54)( 30,138, 83,141,202,
44,236, 79,134, 55, 43,201)( 41, 96,225,100)(157,171,269,273,259,161)
(158,164,318,270,266,308)(165,311,319,263,315,305)(168,304,172,262,
322,256)(175,255), ( 1, 89,116,154, 72,211,194,270,231, 44,281,131,
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212,190,271,228, 49,282,127, 5, 88,119,149, 71,215,193,273,226, 43,
285,130, 7, 86,113,152, 74,217,191,267,229, 46,287,128)
( 3, 87,115,150, 73,213,192,269,227, 45,283,129)( 6, 90,118,153, 76,
216,195,272,230, 48,286,132)( 8,334,109,301, 58,309,159,319,210,338,
253,327, 11,336,107,295, 61,312,161,317,204,341,256,329, 9,330,110,
298, 63,310,155,320,207,343,254,323, 12,333,112,296, 57,313,158,322,
205,337,257,326, 14,331,106,299, 60,315,156,316,208,340,259,324)
( 10,332,108,297, 59,311,157,318,206,339,255,325)( 13,335,111,300, 62,
314,160,321,209,342,258,328)( 15,187,123,203, 93,260,180, 25,238,142,
246, 82, 18,189,121,197, 96,263,182, 23,232,145,249, 84, 16,183,124,
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233,141,250, 81, 21,184,120,201, 95,266,177, 22,236,144,252, 79)
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102, 56, 65,162,173,221,245,289,274, 33, 39,140,100, 50, 68,165,175,
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( 31, 38,136,101, 52, 66,164,171,220,241,290,276)( 34, 41,139,104, 55,
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"Sym(7) wreath Sym(3)", [ "A", 7, 3 ],
[ ( 1, 76,127,314,288, 6, 71,132,309,293)( 2, 72,128,310,289)
( 3, 77,130,313,290, 7, 74,131,311,294, 4, 75,129,315,291, 5, 73,
133,312,292)( 8,174,106,167,253,153, 57,181,302,195)
( 9,170,107,163,254,149, 58,177,303,191)( 10,175,109,166,255,154, 60,
180,304,196, 11,173,108,168,256,152, 59,182,305,194)( 12,171,112,165,
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( 13,169,111,162,258,148, 62,176,307,190)( 15,272, 99, 69,274,300, 92,
34,316,146)( 16,268,100, 65,275,296, 93, 30,317,142)( 17,273,102, 68,
276,301, 95, 33,318,147, 18,271,101, 70,277,299, 94, 35,319,145)
( 19,269,105, 67,278,297, 98, 32,320,143, 21,270,103, 66,280,298, 96,
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( 22,125,113,265,246, 55, 78,328,337, 48)( 23,121,114,261,247, 51, 79,
324,338, 44)( 24,126,116,264,248, 56, 81,327,339, 49, 25,124,115,266,
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123,117,262,252, 53, 82,325,343, 46)( 27,120,118,260,251, 50, 83,323,
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(185,210,186,208)(187,206,189,207)(188,204)(232,237)(234,238,235,236),
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21, 32, 41, 49, 30, 13, 43)( 3, 26, 17, 25, 38, 28, 31, 27, 45, 23,
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317,255, 71,199,173,311,270, 87,224,178,321,290, 72,206,169,297,271,
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203,180,314,291, 86,210,176,300,292, 65,207,183,301,278, 69,242,184,
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[14, Factorial(343),0,"2",[[342, 1]],343, "Sym(343)", ["A",343, 1], "Sym"],
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298,261,131,332,198, 43,314,305, 96,257, 36,181, 46,212)
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285,109,113, 93,311,280),
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273,193, 39, 64, 6,145,310,223, 34, 65,234,129, 88,247,342,108,119,
79, 70,135,311, 4,117, 67, 50, 8,328, 44,245,148,306,185,183,111,
126,330,224,122,229,137, 58,103,130, 56,136,290,265,323,184, 19,106,
295,264, 95,200,241, 82,331,221,210,250,259,194, 18,325,212,262,279,
321)( 2, 77,305,127,225,233, 98,215,115,172,168,335,147, 5,128,175,
293, 60,141,160,150, 72,312,204,336, 47,292,198, 74,284, 66,296,227,
14,220,288,339, 81, 94,197,243,187, 68,327,252, 24,202,104, 96,231,
114,214,157,161,338,182,324,201,154, 36,269,188,169,179,257, 17,125,
337,282, 37,131,255, 45,263, 33,102,315,109, 41,334,248,235,132, 86,
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209,110,165,297,189, 85, 7,341, 16, 97,208,326, 29,152, 10,166,333,
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116, 48,186, 55,124,238,112,246, 26,120,219,164, 32,140,244,322,332,
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222,239,289,176,139,307,242,251,291,280,170, 75,260,301, 62,237,206,
51,138,317,178,236,211, 21,101, 27, 54, 99, 20,272, 35,277,171, 31,
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320, 91,299,234,257,229,316,181, 92,232, 38, 44, 66,160,142,126,123,
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187,260,237,343, 59, 74,182,326,297,330, 2, 77,157,250, 34, 12,101,
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40,335, 45, 84, 42,110, 25,238,227,265,296,298,294,107,188, 33,217,
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210,125,193,151,190,244,195,332,203,140, 52,156,267, 28, 23, 99, 19,
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106,268,184,342,161, 85,123,117, 50,180, 13, 98,271, 49,210, 83)
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235,183,320, 51, 74,294,216, 68,242, 18,259,300,313, 82, 19,131,283,
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130,159,122,344, 45, 7, 39,195,338,169,114,228,103,149,337, 8,224,
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209,312, 89,238,272,267,166, 12, 54,240,201,135,225,215, 99,292,277,
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336,317,116,306, 95,103,284)( 61,112,106,330,260,122,209, 94,191,322,
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238, 12,157,320,212,342, 46,208, 35,203, 69, 71,111, 18,261, 27,136,
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( 14,338, 82, 88,226,299,125)( 15, 27, 49,208,129, 17,201)
( 19,302,251,344,150,213,317)( 20,111,306,220, 66, 23, 83)
( 21, 60,184,246,188,172,292)( 22,179, 99,327,301,142,159)
( 24,120,242,196, 72,268,234)( 26,347, 78,164,304,252,216)
( 28, 64,204,136,273, 81,334)( 29,229, 55,206,322, 98,265)
( 30, 46, 45,245,112,341, 48)( 33, 59,238, 34,114, 69,244)
( 37,199,135,225,102,156,351)( 38,313,319,127,228,257,297)
( 39,108,101,210,278,177,289)( 40, 74, 85,182,121, 95, 42)
( 41,305,154,144,331,323,330)( 43,258,123,119,140, 77, 80)
( 44,176,103,270,122,325,227)( 47,337, 70,285,277,117,262)
( 50,333,113,335,146, 54,207)( 51,314,264,153,109,178,151)
( 52,160,346, 53,218, 92,296)( 61,200,167,309,321,223,269)
( 63,132,138,189, 76, 97,183)( 65, 84,171,250,339,152,303)
( 71,332,307,315,232,143,241)( 73,255,253,282,155,260,324)
( 79,126,163,187,158,221,320)( 86,240,105,291,283,211, 91)
( 90,222,191,231,318,293,272)(106,271,261,230,107,115,192)
(116,162,348,175,256,233,290)(128,276,131,219,214,161,343)
(133,205,254,181,340,203,316)(134,137,312,148,267,350,224)
(147,202,329,194,166,237,328)(170,180,186,195,311,294,345) ] ],
[ 2, 19656, 0, "2", [ [ 28, 12 ], [ 14, 1 ] ], 1, "PGL(2, 3^3)",
[ "L", [ 2, 27 ], 1 ],
[ ( 1,217,173,157,314,141, 84,321,326,167,251, 44, 86,174,340,163,290, 74,
286,245,331,142, 33,139,155, 76,133, 91)( 2,350,143,192,312,270,259,
208, 88, 43,336,149,121, 62,238,199,154,330,136,342,215,100,346,311,
23, 98,129,101)( 3,313,128,201, 40,220,291, 29,280,186,338,308,123,
36, 27,193,297,264,221, 12,306,256,255,348,324,119, 69,132)
( 4,305,240,351,138, 66,160,187,216,277,232,178, 15, 89,106,337,252,
189,198,258,158, 81, 75, 41,170,319,292,257)( 5, 45,273,318, 55,335,
111,140,113,125, 90, 37,159,276,171, 26,110,115, 64,229,329,194, 14,
225,241, 35,304, 65)( 6, 31, 73,164,285,172,300, 96, 34, 51, 21, 70,
347,175,296,195,131,180,310,339,169,301,112,108,152,109,266,248)
( 7,272,104, 30,118,302, 78,239,343,179,214,293,218,103, 9, 61,234,
150, 97,279,262,153,126,185, 24, 11,263,249)( 8,105,322, 19,204,135,
190,226,124,177,200,316, 92,211,233, 95, 47,122,222,231,349,117, 13,
260, 93,281,203,247)( 10,287, 28,250, 80,151,333,289,274,114,298, 85,
235,161,295,146,197, 83,303,102,345,213,243,344,327,341, 16, 42)
( 17, 77,176,116,166, 53,334, 63,288, 72,207,242,219,320,156, 25,202,
282, 56, 20, 49, 52,307,269,196,284,261,165)( 18,328,317,227,223,182,
267, 79,315,228, 48,323,168, 54,181,191,205, 50,210,144, 99,127,271,
183,148,145, 32, 87)( 22, 58, 46,224,332,309,299,275,236,325, 67,107,
94,120,246,130,184,268, 59, 71,244,212,278,283,206, 57,230,137)
( 39,294, 82,162,147,254,237,253,265, 68,209,188,134, 60),
( 1,251,122,113,142, 59,151,254,162,295, 67, 74,318,222)
( 2,129, 85,165,265,179,207,314,327,321,198,117,205,224)
( 3,193,152,322,147,135,180)( 4,340, 70, 83, 62,104, 89, 90, 95, 27,
331,209,284,183)( 5,130,120, 37,145,269,227)( 6, 94,235,267, 24,
281,200, 9,271,289,184,175, 86,133)( 7, 42,275,293,237, 8,143, 58,
307, 76,139,111,131,337)( 10,128,195,246,266, 36,102, 51, 79,158,141,
240,127,285)( 11,230,339, 19,330,279,238,204,112, 46,103,309,181,283)
( 12,287,263,223,167,243, 71,194,229, 98,300,144,297,211)
( 13,132,228, 96,259,329, 64,325,341,217,148,218,303,324)
( 14,312,203,153,199,146, 15, 87,125, 77,114, 99,164, 60)
( 16,173, 47, 48, 34,311,351,299,338,225,268,304, 53, 40)
( 17,291,116,140,108,302,310, 55, 25,186, 56,257,319, 41)
( 20,274,270,192, 57,168,233,138,157,344, 84,288,272, 39)
( 21,315,298,282,273,328,232, 80,154,150,177,101,115, 68)
( 22,185, 93,255,346, 63,241,188, 26,242, 43,256,316, 61)
( 23,306,262, 38, 97,348,208,333,216,159,178, 65,106,161)
( 28, 73,155, 75,182, 52,134,286,313,349, 45,277,343,136)
( 29,171,160, 92,260,252, 35,280,261, 44,317, 32, 91, 49)
( 30,334,219,239,301,206,201,290,292,170, 33,123,332,169)
( 31,248, 66,100,336,189,296,347,253,250,264, 69,197,294)
( 50,156,166,323,119,234,124,190,121,342,105,247,126,221)
( 54,176, 81,244,245,236,305,202,191,118,149, 72,215, 78)
( 82,249,212,345,214,187,109,335,163,174,196,137,350,226)
( 88,172,210,231,326,213,308,320,276,107,110,220,278,258) ] ],
[ 3, 29484, 0, "2", [ [ 7, 2 ], [ 84, 2 ], [ 42, 4 ] ], 1, "PSigmaL(2, 3^3)",
[ "L", [ 2, 27 ], 1 ],
[ ( 1,310, 79,243,283, 96)( 2,234,277,206, 62, 32)( 3,144,257,163,333, 99
)( 4,252, 74,309,208, 68)( 5,180,106,122,104,175)( 6, 15,254,134,
249,343)( 7, 27,188, 53,119, 56)( 8,250, 11,154,187, 16)
( 9,267,185,124,300,227)( 10, 47, 22,297,321,101)( 12,290, 55,100,
275,112)( 13,130,271,177, 80,307)( 14,136, 45, 29, 43,156)
( 17,253, 37,111,196, 66)( 18, 93, 73, 65,153, 50)( 19,231,269,149,
69,251)( 20,166, 67,155,225, 90)( 21, 72,319, 44, 78,174)
( 23, 49,162,110,317,247)( 24,305,337,244,173,349)( 25,291,195,292,
282,318)( 26,217,262,236,344,260)( 28, 35,181,147,246,320)
( 30,348,113,168,146,148)( 31,128,169, 42,212,118)( 34,133, 39,197,
183,161)( 36,224,239, 92,186,160)( 38, 91,339,150, 95, 58)
( 40,120, 81,276,347,142)( 46,193, 51, 54,205,237)( 48,201, 60, 77,
176,263)( 52,256,329,230,117,184)( 57,121,325,126,295, 85)
( 59,340,209,102,273,194)( 61,192,281,255,229,350)( 63,151,127,157,
312,293)( 64,115,135)( 70, 94, 86)( 71,200,311,198,221,298)
( 75,266,170)( 76,287,216,167,199,304)( 82,143,203)( 83,219,152,179,
280,138)( 84,103, 97,213,226,238)( 87,218,264,145,137,279)
( 88,346,220,288,172,284)( 89,191,116,241,222,242)(105,108,274,301,
123,261)(107,211,248,109,228,139)(114,286,314,182,268,189)
(125,129,294,232,190,204)(131,285,332,322,270,214)(132,341,308,296,
313,245)(140,207,315,233,159,324)(141,215,210,345,240,164)
(158,303,272,165,338,336)(171,302,316,265,330,351)(178,328,278,235,
326,323)(202,299,259,289,327,306)(223,342,331,258,334,335),
( 1,311, 45,134,304, 23,133,119,164,148, 99,266,291)( 2, 14,109,301,
349,165, 69, 54,117,286,185,163, 77)( 3,178,100,118,282,126,129,257,
201,132,175,131, 40)( 4, 20, 25,232,123, 83,230,296,258,195, 59,303,
12)( 5,207,149, 18,248,327,152,234,229,316,290,243,246)
( 6,345, 98,187, 38,351,346,146, 31, 64,127,183,125)( 7, 81, 11,315,
272,189,263,320,222,107,309,135, 52)( 8,302,223,208, 22,206,162,300,
289,139,292, 96,256)( 9, 55, 67, 76,323,288,198,273,265,270, 36,143,
97)( 10,108,253,244,184,121,168,153,260,338,112, 15,157)
( 13, 72,199,334,268, 74,174,167,137, 17,312,284,105)( 16, 86,249,340,
114,154, 94,181,325,275,317,332,192)( 19, 34,285,335,342, 53, 44, 30,
326,322,227,220, 63)( 21, 60,331,226,116, 47, 84,188,339,337,324, 29,
41)( 24, 71, 43,147,190,314,128,269,170,194, 56,235,319)
( 26,298,200, 39,209,211,341,159,124,210,236, 32, 95)( 27,231,271,204,
264,350,197,156,241,318, 49,102,136)( 28,101,155, 68,240,245,279,110,
213,280,347,247,150)( 33,122,237,336, 57,104, 89,344,202,111,106,242,
313)( 35,158,261,182,217,299,225,218,343,330,221,238, 82)
( 37,239,321,216,294,173,215,151,179, 93,180,348,295)( 42,277,145,171,
308,306,276,144,305,274, 80, 91,250)( 46,161,251, 92,113,214,172, 85,
73,205, 88,196, 65)( 48,293,140,329, 61,267,224,141,328, 66,191,142,
120)( 50,255, 62,130,233,333,103,287,177, 58,259,186, 87)
( 51, 78,212,176,252,310,278, 70, 75,166,283,262,169)( 79,203,281,228,
307,115,297,160,254,138,193, 90,219) ] ],
[ 4, 58968, 0, "2", [ [ 14, 1 ], [ 84, 4 ] ], 1, "PGammaL(2, 3^3)",
[ "L", [ 2, 27 ], 1 ],
[ ( 1, 93,126, 95,113,281,153, 47,163,276,219, 20,294,298, 87,189, 2,332,
338, 58, 88,232,267,295,134,166,242,318)( 3,164,191, 72,101,135,188,
14, 82,226, 43,156,210,195,306,238,263,341,230,262,128, 16,221,185,
275, 42,150,346)( 4,168, 67,235,283,127,257, 63,154,243,326,260,322,
152, 29, 53,329,312,241, 56, 36,112,200,122,321, 28,215,202)
( 5,223,279,100,170,351,199, 24,328,110,206,248,339,325)
( 6,245,130, 64,304, 59,155,310,218,323, 52,317, 84,250,265,261, 27,
247,211,291,284,254,213,167,227,176,271, 30)( 7,106,229, 35, 89, 61,
19, 31, 39,234,119,148,290, 12,105,342,129,336,330,316,313, 91,228,
348,249, 60,180,177)( 8, 68, 45, 13, 69,220,273,288, 44,165,146,311,
347,300, 62,114,196,314, 25,171,193,255,222, 26,147, 92, 41,138)
( 9,204, 23,161,337,285,181, 46,266,212, 97, 38, 11, 94,169,224,144,
296, 15, 85,121,124,272,282,197,324,274,334)( 10,131,159, 81,269, 48,
203,259,175, 71, 80,258,120,244,216,345,246,172,143,233,183, 17,160,
55, 73,327,174,173)( 18, 79, 70,157,319,240, 86, 96, 32,182,187,239,
320,308,151,268,225,123,139,331,280,194,184,102,186,207,343,158)
( 21,237, 78,136,179,253, 34,145,140,307,299,292,217,287,201,107,335,
108, 37,278,264,344,340,305,137, 77,125,315)( 22,104, 98, 65,198,251,
74, 57,208,132,349,256,350,236,133,141,277,115,149,103,309,118, 99,
83, 51,289, 54,293)( 33, 66,301,214,333,192,270,303,302,109, 75,142,
90,252,231, 50, 40, 49,286,162,209, 76,116,297,205,117,178,111),
( 1,151, 29,165,204,190)( 2,268,225,250,288,347)( 3,104, 67,113,229,
8)( 4, 44,239,272,231, 12)( 5,345,262,278,223,305)
( 6,240,160,157,322,134)( 7,215, 99,142,171,339)( 9, 64,210,127,
194,300)( 10,156,341,277,129,253)( 11,284, 73,163,152,332)
( 13,335,181,119,200,246)( 14,230,122, 39,118,144)( 15,310, 47,259,
108, 91)( 16,123,109,170,224,202)( 17,302, 41,220,188,167)
( 18,116,226,245,177, 59)( 19,350,234,295,276, 80)( 20,162,205,251,
311,168)( 21, 48,185, 93, 96,260)( 22, 87,110,178, 27, 31)
( 23,227,193,169,346,318)( 24,115, 52, 79,265,180)( 25,153,349,203,
327,198)( 26,241, 66)( 28,331,228, 40,286,222)( 30,330,254,324, 71,
88)( 32,255,294,348,155,243)( 33,303, 86,121,133,287)
( 34, 97, 54, 65, 81,233)( 35,283,329,149,258,343)( 36,131, 75,248,
176,179)( 37,217, 45,299,257,282)( 38,242, 68,141, 82,244)
( 42,124,191,148,314,117)( 43,112, 72,145,315,319)( 46,140,337, 78,
114,267)( 49,212,101,235,125,266)( 50,298,164,320, 55,316)
( 51,138,158,249, 95,135)( 53,195,271,323,312,187)( 56,336,166,338,
196,270)( 57,274,137,201,120,297)( 58,219, 98,132,218,232)
( 60,344,309,236,150,351)( 61,103,291, 92,139,106)( 62,100,159,174,
307,172)( 63, 74,209,237,214,252)( 69,289,216,264,261,186)
( 70,308,275,206, 83,273)( 76,317,279,136,306,269)( 77, 89,281, 90,
102,111)( 84,221,256,247,211,340)( 85,126,199,130,146,154)
( 94,182,147)(105,213,296,280,292,128)(107,207)(143,238,263,304,325,
334)(161,173,183)(175,208,293,321,301,285)(184,333,189)
(192,290,313,197,342,328) ] ],
[ 5, 4585351680, 1, "2", [ [ 224, 1 ], [ 126, 1 ] ], 1, "O(7, 3)",
[ "B", [ 3, 3 ], 1 ],
[ ( 1, 2)( 3, 5)( 7, 10)( 8, 12)( 9, 14)( 11, 17)( 16, 23)( 19, 27)
( 21, 30)( 22, 32)( 24, 35)( 25, 37)( 26, 39)( 28, 42)( 29, 44)
( 33, 49)( 36, 52)( 38, 47)( 41, 57)( 43, 60)( 45, 63)( 46, 65)
( 51, 71)( 56, 77)( 58, 80)( 61, 79)( 62, 84)( 66, 88)( 67, 76)
( 68, 91)( 72, 96)( 73, 98)( 75,101)( 78,105)( 81,109)( 82,111)
( 83,113)( 85,116)( 86,118)( 89,102)( 92,117)( 93,126)( 99,133)
(100,135)(103,138)(110,146)(119,153)(121,156)(123,159)(124,160)
(129,165)(130,166)(131,141)(132,169)(134,172)(136,175)(137,177)
(139,163)(140,180)(142,173)(143,184)(144,186)(147,190)(150,193)
(151,192)(154,185)(157,200)(158,202)(161,206)(164,209)(181,214)
(182,226)(183,228)(187,231)(189,234)(195,239)(198,236)(201,245)
(208,251)(210,253)(213,256)(215,259)(219,262)(221,265)(225,266)
(227,268)(229,271)(235,276)(237,278)(238,280)(241,281)(242,283)
(243,285)(247,288)(248,279)(249,290)(250,291)(254,293)(261,269)
(263,300)(267,303)(272,274)(273,287)(282,308)(292,317)(296,314)
(299,320)(310,331)(323,326)(324,340)(327,342)(332,345),
( 1, 3, 6, 9, 15, 22, 33)( 2, 4, 7, 11, 18, 26, 40)
( 5, 8, 13, 20, 29, 45, 64)( 10, 16, 24, 36, 53, 74,100)
( 12, 19, 28, 43, 61, 83,114)( 14, 21, 31, 47, 67, 90,123)
( 17, 25, 38, 55, 76,103,139)( 23, 34, 50, 70, 94,128,164)
( 27, 41, 58, 81,110,147,191)( 30, 46, 66, 89,122,158,203)
( 32, 48, 68, 92,125,162,113)( 35, 51, 72, 97,131,168,212)
( 37, 54, 75,102,137,178,222)( 39, 56, 78,106,142,183,126)
( 42, 59, 60, 82,112,148,192)( 44, 62, 85,117,151,195,111)
( 49, 69, 93,127,163,208,252)( 52, 73, 99,134,173,217,153)
( 57, 79,107,143,185,229,272)( 63, 86,119,154,197,241,282)
( 65, 87,120,155,198,242,284)( 71, 95,129,160,205,249,184)
( 77,104,140,181,225,267,304)( 80,108,144,187,232,274,239)
( 84,115,149,116,150,194,238)( 88,121,157,201,246,228,270)
( 91,124,161,207,146,189,235)( 96,130,167,211,255,295,319)
( 98,132,170,214,258,298,322)(101,136,176,220,264,302,326)
(105,141,182,227,269,234,275)(109,145,188,233,271,306,329)
(118,152,196,240,276,307,330)(133,171,215,260,291,316,226)
(135,174,218,261,293,209,251)(138,179,223,256,296,320,338)
(156,199,243,286,266,300,324)(159,204,248,289,314,303,327)
(165,193,237,279,186,230,273)(166,210,254,294,318,172,216)
(169,213,257,297,321,177,221)(175,219,263,301,325,341,340)
(180,224,245,287,312,334,345)(190,236,277,308,331,344,253)
(200,244,265,268,305,328,343)(202,247,280,310,332,346,231)
(206,250,292,259,281,311,333)(262,299,323,339,348,350,351)
(278,309,317,337,288,313,335)(283,290,315,336,347,342,349) ] ],
[ 6, 9170703360, 0, "2", [ [ 224, 1 ], [ 126, 1 ] ], 1, "PSO(7, 3)",
[ "B", [ 3, 3 ], 1 ],
[ ( 1, 2)( 3, 5)( 4, 7)( 9, 13)( 11, 16)( 12, 17)( 15, 21)( 18, 24)
( 19, 25)( 20, 27)( 26, 33)( 28, 36)( 29, 38)( 30, 40)( 35, 46)
( 37, 49)( 39, 52)( 41, 55)( 44, 59)( 47, 63)( 48, 65)( 50, 68)
( 51, 69)( 53, 72)( 56, 75)( 57, 77)( 58, 79)( 61, 83)( 64, 87)
( 66, 90)( 67, 92)( 70, 94)( 71, 96)( 73, 99)( 74,101)( 76,104)
( 78,107)( 81,111)( 82,113)( 85,109)( 88,116)( 91,120)( 95,125)
( 97,128)( 98,130)(100,133)(102,136)(106,117)(112,146)(114,148)
(115,149)(118,151)(123,156)(126,160)(129,163)(132,167)(134,170)
(135,171)(137,174)(139,177)(141,178)(153,185)(158,191)(161,195)
(162,196)(165,199)(168,202)(172,206)(180,214)(181,216)(182,212)
(183,219)(184,221)(187,223)(189,225)(190,227)(193,230)(197,233)
(198,235)(201,237)(204,240)(205,242)(207,244)(209,211)(213,250)
(217,254)(220,257)(226,260)(228,262)(231,265)(236,270)(241,268)
(245,276)(248,273)(249,279)(251,282)(258,272)(267,285)(269,284)
(271,295)(277,300)(278,301)(287,298)(288,309)(292,312)(296,316)
(303,311)(305,323)(306,320)(313,324)(314,328)(317,332)(318,334)
(330,337)(333,341)(338,343)(344,348),
( 1, 3, 6, 10, 15, 7, 11)( 2, 4, 8, 12, 18, 17, 23)
( 5, 9, 14, 20, 28, 37, 50)( 13, 19, 26, 34, 45, 61, 84)
( 16, 22, 30, 41, 56, 76,105)( 21, 29, 39, 53, 46, 62, 85)
( 24, 31, 42, 57, 78,108,142)( 25, 32, 43, 58, 80,110,144)
( 27, 35, 47, 64, 88,117,149)( 33, 44, 60, 82, 77,106,140)
( 36, 48, 66, 91,121,154,187)( 38, 51, 70, 95,126,161, 68)
( 40, 54, 73,100,134, 49, 67)( 52, 71, 97,129,164,104,139)
( 55, 74,102,137,175,210,247)( 59, 81,112, 72, 98,131,166)
( 63, 86,115,150,128,133,169)( 65, 89,118,101,135,172,207)
( 69, 93,123,157,190, 83,114)( 75,103,138,176,211,248,242)
( 79,109,143,180,215,252,185)( 87,107,141,179,120,153,186)
( 90,119,152,184,222,160,194)( 92,122,155,188,224,233,267)
( 94,124,158,192,229,111,145)( 96,127,162,197,234,268,292)
( 99,132,168,203,239,273,298)(113,147,178,213,151,183,220)
(125,159,193,223,130,165,200)(136,173,208,245,277,163,198)
(146,181,217,171,205,219,256)(148,182,218,255,285,265,290)
(156,189,226,206,243,199,236)(167,201,238,272,297,318,300)
(170,204,241,275,279,303,321)(174,209,246,278,302,225,259)
(177,212,249,280,304,322,335)(191,228,263,289,309,221,258)
(195,231,214,251,283,306,325)(196,232,266,291,311,276,202)
(216,253,257,286,307,326,312)(227,261,282,305,324,337,344)
(230,264,254,284,301,320,328)(235,269,293,313,327,338,345)
(237,271,296,317,333,343,334)(240,274,299,319,250,281,244)
(260,287,308,295,315,330,340)(262,288,310,316,331,341,347)
(270,294,314,329,339,346,349)(323,336,332,342,348,350,351) ] ],
[ 7, 4245696, 1, "2", [ [ 224, 1 ], [ 126, 1 ] ], 1, "G(2, 3)",
[ "G", 3, 1 ],
[ ( 1,183,136,258, 64, 38,160,151,190,176,303,300)( 2,234,177,245,268, 26,
51,150,138, 24,129,142)( 3,312,292,246,200,228, 86,152,193,278,304,
83)( 4, 16, 56,295,156,174,263, 92,269,209,270,277)
( 5,334, 12,272,207,194, 65,238,198,265,333,253)( 6,206,280, 22,159,
154, 89,148,232,330,267,240)( 7,336, 87,237,116,239,315,227, 55,109,
78,199)( 8,102, 34,338,192, 31, 37,217,242,344,313,133)
( 9,119,208,314,255,141,310, 18,113,172,282,266)( 10, 33,121,181,281,
147, 61,345, 66,179, 81,241)( 11, 59,331,124)( 13,214, 49,140,254,
123,257,210,324,178,339,307)( 14, 73,251,294, 27,168, 68,297,162,126,
221,104)( 15,105,259,191,249, 48, 74, 84,215,351, 75,279)
( 17,163,289,262,350,248, 39,166, 46, 82, 88,225)( 19,349,216,311,261,
171,220,305,189, 54,145,205)( 20,318, 41,323, 42,233,302, 98, 60, 80,
218,155)( 21,167,226, 90,247,197,196,212,157,131, 69,285)
( 23, 36,284,114,231,132)( 25, 44,319,213,322,309,180,342, 58,290, 57,
71)( 28,182,153,201,299,187,343,101, 40,185, 77,308)( 29,340,115,244,
195, 72,286, 47,202,184, 96, 85)( 30,118,271,346,320,223,164,106,326,
243,236,287)( 32,135,301,250, 76,158)( 35,173,144,276,211,306,325,
62,288,117,222, 45)( 43,169,230, 79,204,252,188,146,229,137, 93,107)
( 50,329,293, 63)( 52, 53,291, 70,111,321,112,283,122, 97,274,149)
( 67,100,139,275,260,327,161, 95,341,332,347,235)( 91,256,298,186,127,
99,328,110,273,128,348,143)( 94,103,130,108)(120,203,316,337)
(125,175,264,219)(134,335,165,224),
( 1,157, 72,268, 63,159,237)( 2,341,202,248,329,187,266)
( 3, 42, 62,128,164,179,313)( 4,336, 38,100, 73,278,337)
( 5,282,146,227,251,182, 35)( 6,349,258, 89,348, 55,181)
( 7,221,155,264,214, 8,259)( 9,223,203,163,286,143,299)
( 10, 64,106,328,347,167,217)( 11, 40, 22,212,277,123,195)
( 12, 74,126,156,307, 76,124)( 13, 69,148,196, 20,198,306)
( 14,249,211,325,270,243,289)( 15, 91,280,133, 60,116,315)
( 16,138,232, 52,114, 84,218)( 17,108, 98,206,252, 36, 85)
( 18,318,246, 90,267,208,326)( 19, 61,272,242,324, 92,331)
( 21,295,284,323, 65,263,344)( 23,130,350,229,172,101,170)
( 24,178,194,225,107,327,144)( 25,129,228,189,222,135,220)
( 26,231,185,302,173,271,117)( 27,186,120,312, 28,342, 56)
( 29,319, 49,234,165, 88,279)( 30,200,255,253,314,102,175)
( 31,346,300, 86,254,136,121)( 32, 82, 46,176,122,150,309)
( 33, 68,317,204,219,180,171)( 34,192,235,132,233,322, 66)
( 37, 41,151,226, 93, 99,250)( 39,238,273,184,162,239, 43)
( 44,152,304, 53, 51,134,141)( 45,245, 87,110,261,351,303)
( 47,115,109, 50,183, 83,340)( 48,292,158,201,333,236,298)
( 54,338, 71, 95,112,147,290)( 57, 58,113, 80,199,216,301)
( 59,154,166,320,265,283,168)( 67,288,161,281,345,293, 94)
( 70,207,343,142,145,332,276)( 75, 81,244,103, 96,140,257)
( 77,274,310,296,125,335,287)( 78,210,111,262,224,247,104)
( 79,339, 97,240,297,190,316)(105,294,308,330,256,275,149)
(118,119,241,260,193,131,174)(127,160,139,230,291,209,191)
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183,203,224,246,269,293,318,343,174,194,215,237,260,284,309,334)
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( 17, 24, 29)( 23, 31, 37)( 30, 39, 46)( 38, 48, 56)( 47, 58, 67)
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184,212,224,247,152, 35,232,102,231,158, 11, 37,194,228, 36, 8,294,
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( 10,334,209,242,312)( 11,349,174,279,297)( 13,353,346, 15,275)
( 14,354,128,326,309)( 16,208, 29,217,283)( 18,350,223,240,188)
( 19,221, 37,109,220)( 20, 53,159,137,212)( 21,251, 26,252, 65)
( 22,244,286,187,322)( 23, 38,123,285, 36)( 24,206,231,347,311)
( 25,276,219,235,351)( 30, 31,117,263, 69)( 32,115, 99,180,281)
( 34,210,194,168,344)( 39,237,307, 64,149)( 40,213,124,102,129)
( 41,105,211,278,359)( 43,324,222, 50, 47)( 44,134,288,293,118)
( 45,247,155,342,262)( 46,282,127, 79,302)( 49,306,348, 92,289)
( 52,301,218, 88,151)( 54,245,338,321, 74)( 55,132,173,234, 70)
( 56,229,259,260,103)( 57,325,236,264,284)( 58,255,274,178,317)
( 59,329, 75,243,295)( 60,232,330, 85,176)( 61,228,337, 87,318)
( 63,239,111,204,323)( 67,280,298,113,166)( 68,158,121,249,189)
( 71,253,199,296,161)( 73,201,269, 84,327)( 77,238,203,254,175)
( 78,310,138,154,316)( 81,303,343,241,205)( 83,265,335,143,106)
( 89,133,122,169,101)( 90,261,190, 97,273)( 91,100,193,167,119)
( 94,331,135, 95,192)( 98,230,141,226,246)(104,191,341,108,153)
(107,150,225,197,144)(110,163,207,250,267)(112,358,291,257,314)
(114,200,145,256,198)(116,277,308,214,156)(125,287,146,268,147)
(139,339,299,179,248)(142,266,183,336,315)(152,356,185,216,184)
(160,171,305,292,345)(162,181,182,164,360)(165,328,170,270,195)
(202,294,215,357,271)(233,320,352,300,340),
( 1,357,269,137,312,135, 47, 91,157,288, 31, 50,355,240,284,162, 75,
307, 52,303,145,192,106,212,103,335,315, 58, 54,198, 28,214,151, 92,
197,290,283,256,142, 49)( 2,327, 37,348,259,267,345,272, 83,326,134,
329, 8,358,193, 97,270,199, 61,175,344,129,130,183,216,101,309,178,
190,100, 65,110, 38,254,324, 82, 20, 66,174,330)( 3,356,311,223,173,
118,150,160,141,251,244,217,292,112, 86,111, 76,243,123,179,310, 23,
291,210,263,271, 40,299, 39,255, 99,201,318,314, 15,208,232,117, 34,
317)( 4,360,237,219,347, 48,265,109,146, 90, 6,359,107, 79,108,163,
51,354,296,249, 43,261, 89,165,136,340, 53,114,156,253,126,153,306,
316, 88, 72, 59,191,138,277)( 5,341, 18, 69,301,346,154, 62,187,252,
121,352, 19,302,167,195,238, 22,242,325,140,266,275, 45, 56,241,209,
116,258,221,131,226,220, 57, 68,260, 78,294, 30,182)( 7,172,300,319,
36,343,338, 24,229,293, 27,334,297,233, 95, 77,202,207,213,331,122,
149,158, 17,102,125,180,278,308,250, 29,164,305,206,228,248,196,186,
105,282)( 9,170, 98,159,245,127,353,166,257,287, 71,336,350,194,323,
139, 85,144,264,147,321,337,230, 10,304,128,227, 21,351, 64,169,200,
236, 12,171,133,235, 96,295,276)( 11, 84, 14,286,124,176,280,189,203,
87, 81,279, 55,328, 41, 74,313, 60,285,246,155,177,188,113, 32,185,
70,273,104, 13,211, 80,132,322, 35,225,289,281,298,339)
( 16, 46,168,262,152, 73, 42, 63, 94,268,148,349,247,205,143,181, 25,
184,342,274,161,120,119,218,332,234, 26,320,222,215,204, 44, 67,239,
231,333, 33,224, 93,115) ] ],
[ 4, 259200, 0, "3a", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 80, 1 ] ], 1,
"Alt(6)^2.2", [ "A", 6, 2 ],
[ ( 1,174, 50,284,279,200,316,323,116,248,206,131,237,135,287)
( 2, 72,168, 83,329,187,270,201,219,216,231,175, 38, 5,317)
( 3,103, 68,115,142,226,294,354,133,156,331,162,199, 53,194)
( 4, 98, 48,252,339,315,349,309,355,292, 92,108,100,149, 24)
( 6,325, 31,157,275,283,106,170,138,360,137,164,319, 10,253)
( 7, 14,118,281,203,155,105,314, 41,239,351,150,161, 15, 9)
( 8,163,258,259,140,119, 20,143,179,190,217,330,344,110,165)
( 11,205, 86,271,213,257,321, 60,112, 40,122,104, 35, 16,188)
( 12,274,191,290,310, 52,139, 66,312,352,146,265,167, 22,282)
( 13, 74,235, 29, 37,311,234,288, 81,247,186,313,305,264,356)
( 17,182, 75,261,159, 28,269,212, 90, 54,337,334,126, 18,296)
( 19,111,272, 42,342,153,223, 56, 78,183,249,204,109, 82,299)
( 21,268,141, 91, 33, 63,127,202,346,209,328, 59, 45, 95,101)
( 23, 27,198,289, 87,130,211,297,225,291, 67,295, 85, 73,207)
( 25,241, 69,215,320,154,228, 39,128,322,267, 58,196, 51,166)
( 26,301,148,220, 93,238,114,208,359,348, 97,178,210,277,160)
( 30,353, 36,144,125,332,303,256,224,276, 65,300,260,286, 84)
( 32,357,262,251,250,173,245, 71,129,244,189,306,285,324,341)
( 34,254,176,236, 76,338,117,181, 46, 55,302,222,280,347,229)
( 43,246,151,326,230, 47,318,172,340, 44,240,278,221,345, 88)
( 49,134,177, 96,307,158,242,343,184,195,227,152,147,113,102)
( 57,308,350,333, 94,123,232,120, 70,358,180,132,136,185,243)
( 61,336, 77,335,214, 79,233, 64,197,171,121,145, 80, 62, 89)
( 99,193,218,304,273,266,255,169,107,124,293,327,298,192,263),
( 1,333,115,111,243, 46,140,290)( 2,137,257,255, 73, 18,268, 60)
( 3,334,240,202,249,271,296, 75)( 4,211, 92,105,262,270, 71,320)
( 5,177,201,289, 29,129,352,231)( 6,222, 88,277, 90,123,307, 68)
( 7,283, 35, 51,113,261,193,325)( 8, 36,185,141,198, 49,347,212)
( 9,168,281, 77,250,282,170,280)( 10,266,274,232, 32, 28,148,197)
( 11,301,316,178,127,313,229, 74)( 12,256,118,244,160,227,326,239)
( 13,161, 82,356, 97,340,291,344)( 14,254,226, 80,322, 57,153,176)
( 15,154, 45,245,319, 25,126,101)( 16,260,203, 48,182,158,341,286)
( 17,191,348,204,293,216, 52,312)( 19,104,332,215,331,276,218,164)
( 20,124,219,172,294,241, 81,221)( 21,165,315,223,328,133,285, 22)
( 23,184,284,128,299,155,135,106)( 24,214,267,237)( 26,194, 78,122,
186,109,207, 59)( 27,131, 65,324,175, 55,298,147)( 30, 34,302, 43,
169,279,248, 54)( 31,189,144,235, 41,157,100,110)( 33,120,192,149,
357,145,246,188)( 37, 99, 39,258,143,337,353,247)( 38, 42,220,171,
310, 87,199, 89)( 40, 70,259,206,252,236,305, 94)( 44,288,351,242,
195,179, 96, 91)( 47,132,295,300,159,335, 72,196)( 50,167,311, 85,
323,317,238,119)( 53,225,217, 98,190,187,297,253)( 56,251,108,156,
142,343,275,272)( 58,213,273,139,263,355,228,210)( 61,224,114,269,
121,309,234,112)( 62, 67,345,183,308,342,314,130)( 63,151)
( 64,117,330,264,181,180,103, 83)( 66,205,200,327,329,125,358, 86)
( 69,162,146,359,303,163, 93,354)( 76,208,360,134,174,265,349,346)
( 79,116)( 84,292,102,278,321,339,230,304)( 95,173,233,336,152,138,
136,350)(107,287,209,150,318,338,306,166) ] ],
[ 5, 259200, 0, "3b", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 40, 2 ] ], 1,
"Alt(6) wreath Sym(2)", [ "A", 6, 2 ],
[ ( 1,349, 35,346)( 2,153,259,160)( 3,288,146,225)( 4,295,141,186)
( 5,336, 42,228)( 6,105,123,166)( 7,167,128,247)( 8,271, 38,316)
( 9, 39, 77, 43)( 10,326,158,267)( 11,129,284,254)( 12, 52,305,289)
( 13,279,290, 92)( 14,283,151,298)( 15,210, 88,163)( 16,119,209, 56)
( 17,323,236,149)( 18, 59,332,292)( 19,187,231, 93)( 20,145, 83, 41)
( 21,256,213,189)( 22,248,115,321)( 23,215,191, 62)( 24,251,257, 90)
( 25, 99,121,138)( 26,132,140,106)( 27,205,133, 45)( 28,328, 32, 50)
( 29,334,139,245)( 30,268,222,116)( 31,194,124,297)( 33,217,131,114)
( 34,329,126,183)( 36, 63,337,252)( 37, 51,130,318)( 40,347,237,173)
( 44,148,241, 78)( 46,188,260,355)( 47, 69,203,239)( 48,201,112,109)
( 49,340,185,314)( 53,287,311,202)( 54,242,280, 94)( 55,103,269, 81)
( 57,150,218, 89)( 58,208,281,219)( 60,108, 91, 86)( 61, 70,345,157)
( 64, 80,196,240)( 65,135,324,339)( 66,155,199,197)( 67,335, 68,246)
( 71,143,125,220)( 72,113,223,192)( 73,235,226,331)( 74,136,198,263)
( 75,258,285,342)( 76,264,306,207)( 79,266,118,333)( 82,233,330,230)
( 84,344,212,216)( 85,350,282,319)( 87,144,162,229)( 95, 98,200,206)
( 96,165,308,111)( 97,164,175,304)(100,272,101,178)(102,156,170,310)
(104,211,315,312)(107,204,232,238)(110,249,348,179)(117,127,261,122)
(120,234,195,352)(134,296,193,244)(137,320,177,221)(142,307,313,273)
(147,322,180,214)(152,341,275,181)(154,227,161,293)(159,358,300,327)
(168,309,301,174)(169,172,343,171)(176,360,303,243)(182,294,224,274)
(184,270,325,190)(250,255,353,253)(262,359,302,299)(265,286,291,357)
(276,317,338,277)(278,354,351,356),
( 1, 3,301,145, 7, 64, 45, 49,254,128)( 2,281,325, 32, 17,327, 30,
332, 91, 29)( 4, 98, 37, 8, 50,224, 81, 93,244, 80)
( 5, 6, 66, 26,177,265,111, 44, 60,198)( 9,152,157,121,235,223, 58,
99,232,141)( 10, 77,104,126, 16,122, 46, 92,129,100)( 11,358,269,130,
19,353,308,205,107,255)( 12,187, 88, 24,236,202, 25, 68,119,123)
( 13,183,211,140, 21,349,274,299,295,277)( 14, 35, 23,249,298, 85, 20,
230, 18, 43)( 15,125,239, 28,172,345,199,216,186,204)
( 22, 56,237, 31, 86,103,109, 57,331,359)( 27,114,233,245,142, 83,341,
79,288,342)( 33, 48, 47,189,322)( 34,278,132,315,268,243,215,117,273,
293)( 36,150,261,314,291,220, 53,231,241, 39)( 38,180,225,270,188,
158,206, 73,143,311)( 40,154, 87,190,283,264,110,343,156, 42)
( 41,101,113,337,260,360,309,161,310,163)( 51,135,248,246,131)
( 52,348, 63,127, 89,306,247,238,296,200)( 54,222,334,294, 72,300,302,
286, 74,210)( 55,226,165,250, 70,350,357,139,168,280)
( 59,347,321,271, 65,257,171,195,209,285)( 61,305,201,323,318,338,170,
292,214,155)( 62, 76,289,272,176)( 67,153,213,203,166,276,267,282,
78,218)( 69,221,266,316,182,297, 82,303,174,124)( 71,108,194,330,
228,340,352,219,328,324)( 75,212,304,256,173,242,118,354, 97,252)
( 84,227,116,279,144,191,217,181,136,102)( 90,138,185,229,146,259,159,
284,287,319)( 94,263,326,207,178,336,307,164,105,339)
( 95,167,317,133,179,355,192,151,196,193)( 96,134,240,253,262,251,184,
320,106,275)(112,346,313,148,149)(115,160,137,234,208,147,356,329,
312,344)(120,351,333,335,197)(162,258,290,175,169) ] ],
[ 6, 259200, 0, "3b", [ [ 45, 1 ], [ 90, 1 ], [ 72, 2 ], [ 40, 2 ] ], 1,
"Alt(6) wreath Sym(2)", [ "A", 6, 2 ],
[ ( 1,145, 16, 32, 43, 97, 56,356,202,357)( 2, 99,115,195,301,264, 41,278,
81,149)( 3,268,282,262,244,274, 40,299,200,176)( 4, 69,216,174,255)
( 5,349,123,335,191,173,184, 10,211,261)( 6,316,105,169, 77,217, 66,
260,128,294)( 7,142,263,348, 60,233,170,359, 80, 19)
( 8,265,341, 73, 98, 57, 34,159,198,240)( 9,249,125,137,350,165,277,
308, 51,226)( 11,235, 49,295,276,343,206,323,168, 85)
( 12,246,146,126,281,212,355,111,204,114)( 13,196,317, 70, 27,155, 74,
95,336,227)( 14,177,121,243,152,189,257,354,327,193)( 15,251, 20,324,
163,318,130,321,209,320)( 17,314,171,250,167)( 18,208, 31,342, 55,
131,315,164, 47,153)( 21,190,183, 79,248,351,297, 96, 48,151)
( 22,345,347,138,186,339,199,150,283,185)( 23,322,300, 29,303)
( 24,288,319,143,302, 88,286, 64,238,179)( 25,279, 84,298,232, 65, 42,
203,119,225)( 26,140,344, 62,289,144,132,285,241,239)
( 28, 91,181, 37,242)( 30,148,158,312,306, 61,214, 58, 59,352)
( 33,275,166,252,178, 67,360,104,293,133)( 35,280,103,218,116,207, 54,
194,157,290)( 36,332,219,154,358, 45,326, 46,100,134)
( 38,234,269,197,139,228,304,346,237, 72)( 39,329,136,272,331,107,182,
338, 63,110)( 44,108,180,254, 82,127,310,215,247,172)
( 50, 93,340,236,273,201,156,309,141, 86)( 52,129,330, 75,353)
( 53,266)( 68, 92,292,291,230,267, 89,188,220,284)( 71,213,258,222,
83,224,135,305,271,256)( 76,120,259,325,113,124,270,175,160,245)
( 78,192,161,287, 90)( 87,328,109,162,147,229,333,311,106,122)
( 94,221,296,313,118)(101,205,102,223,231)(112,337,334,117,210)
(187,307), ( 1,316)( 2,294,193, 95, 16,223, 73, 86,309,298)
( 3,270,202,169, 19,213,104, 87,255,149)( 4,329, 88,252,235,151,360,
311, 72,319)( 5,349,100, 47,278, 81,356, 6,106,201)
( 7, 20,234,250,240)( 8,105,324,305,239,246, 13,344,230,189)
( 9,155,359,160,177,184, 10,275,264, 37)( 11,159,204,225, 36)
( 12,211,260, 54, 82,140, 45, 43, 51,355)( 14,314,285,251,146,274, 25,
228,220,348)( 15,310,244,322, 66,210,196,351, 26,245)
( 17,127,217, 39,318,352, 24,303, 85, 56)( 18,321,198,272, 40,224,153,
337,300,207)( 21,269,241,163,290,221, 30,315,111,289)
( 22,203,215, 32,114)( 23,139,261,144,110,342, 44, 91, 48,320)
( 27,328, 92, 42, 83,188,273,124,205,115)( 28,138, 65,307, 52,142,341,
218,179,219)( 29,247,172,345,259,190,357, 71,161,281)
( 31,334,113,353, 53,265,327,173,168,165)( 33,297,109, 98,112,216,304,
293,199, 60)( 34,117,279,206,131, 50,229,338,358, 57)
( 35,271, 78,299, 84,332,182,212,130,295)( 38,183,192,257,122, 99, 67,
156,339,268)( 41,186,148,150,152,238,170,102,288,137)
( 46,116,333,222, 55,232,135,280,200,174)( 49,242,277, 93, 69,128,346,
101,133,194)( 58, 97,141,166, 68, 63,195,226,208,147)
( 59,301,162,154, 96)( 61,302,121,132,185)( 62,180,308,181,347, 70,
243, 80,335, 64)( 74,158,118,325,178)( 75,354,256,266,191,175,306,
164,119,343)( 76,233,123,336,171, 94,214,254,120,350)
( 77,197, 89, 79,145)( 90,263,286,187,312,283,262,134,330,103)
(107,296,317,125,253,282,227,129,331,258)(108,209,291,267,126,167,143,
276,326,249)(136,287,236,176,323)(157,340,231,313,292)(237,248) ] ],
[ 7, 259200, 0, "3b", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 80, 1 ] ], 1,
"Alt(6) wreath Sym(2)", [ "A", 6, 2 ],
[ ( 1,157,175,196, 36,121,346,302, 40,203,313,334)( 2,115,248,191, 7,348,
300,163, 68,315,271,244)( 3,226,197,301,114, 83,152,134, 48,281, 41,
27)( 4,117,122,231,147,221,167,124,132,303,344,103)( 5,324,337,100,
298,262,295,195,142,335,359, 70)( 6, 35,274,350, 64,284,183,349, 14,
332, 47, 96)( 8,330,360,255, 16,241,336, 53, 12,289,351,201)
( 9,339,258,206, 89,222, 39,192,177, 91,291,263)( 10,249,149,260, 37,
286,338,280,204,234, 45,326)( 11,210,345,151,316,355,308, 22,224,294,
128,223)( 13,136, 74,318,342,138, 78, 30,256, 33,137, 34)
( 15,123,207,331,319,292,178,329,214,242, 18,304)( 17,154,108, 71, 50,
240,156,306, 86,185, 26, 80)( 19,311, 92,247,278,187,176, 82, 66,141,
209,353)( 20, 79,105,112,213,184,133,269,139,155,270,116)
( 21, 77,352, 55, 98,158,190, 43, 46,118, 60,276)( 23,205,131,159,179,
290,104,130, 51,259, 54,148)( 24, 93,169,171,199,307,107,250,220, 87,
279,129)( 25,227,110,237,347, 67,245, 84,296, 97,282,321)
( 28,253,161,285,228,328,194, 52, 76,333, 38,140)( 29,288,120,268, 56,
299,166,358, 65,325,230,283)( 31, 69,257,216, 95,172,261,239,232,180,
200,162)( 32,174,343, 75,312,273,297,215,143,266,208,254)
( 42, 94,275,101, 88, 58,186,235,146,246,272,168)( 44,252,310,305,144,
49,109,111,236,243,340,125)( 57,322,356,170,164,181,317,264,202, 90,
59,153)( 61, 99,160,188,189,354,182,126,341, 72,198,287)
( 62,165,127,219,314,320,309, 63,106,211,229, 81)( 73,102,135,217,277,
150,193,251,113,145,218,265)( 85,225,357,293,119,238,173,327,267,212,
233,323), ( 1,265, 2,170,162,341,335,117,309,281)( 3,168,202,242,
135, 46,209,184,264,349)( 4,188,236, 54,164,134,166,256,198,203)
( 5,299,284, 38,100,243, 95, 96,220, 91)( 6, 81, 97, 52,343,288, 56,
76, 65,187)( 7,190,255,280, 9,174,252,285,290, 35)( 8,238,340,218,
210,219,240,122,177,154)( 10,308,267, 84,175,266,323,167,230,279)
( 11,356,326,120,330, 41, 85,294, 45,278)( 12,263,289,123,246,348,130,
99,146, 37)( 13,286,287,208,113, 64, 86, 15,111, 87)( 14,338,116,212,
112,274,214,350,106,233)( 16, 47,172,283, 77,140, 44,159, 70,327)
( 17,211,257,124,314,137,277,270, 82,355)( 18,156, 63,273,328,147,213,
201,244,275)( 19,119, 98, 61,178,231,199,207, 55,306)
( 20,351,352,360,334,297,329,104,359,234)( 21,247,237,307,241, 27,151,
319,239,353)( 22,165,215,303,161,354,143,182,204,344)
( 23, 78,331,347,248,192,107,138,293,345)( 24,262, 90,108,149,109,186,
222,141,145)( 25,260,223, 69, 53,300,225, 66, 51,315)
( 26, 50,180,336,153,125,346,227,258,261)( 28,332,127, 57,152,179,173,
105,189,339)( 29,142, 73,102, 62,115,131,226,126,205)
( 30,171,298,304,148,158, 39,254,250,228)( 31,216,176,317,271,183,320,
217,194,118)( 32,249, 36,200, 43, 93,169,157, 42,121)
( 33, 49,291,251,229,295,160,136,333, 88)( 34,322,276,313,185,128,316,
79,302,259)( 40, 75,181,103, 48,155, 60,358, 72,132)( 58,357,150,114,
59,191,193,321, 80,310)( 67,232,305, 71,269,206,342,110,301, 89)
( 68,196,144,296,163, 94, 74,325,318,221)( 83,139,268,195,253,312,282,
197,224,101)( 92,235,337,245,292,272,324,129,311,133) ] ],
[ 8, 259200, 0, "3b", [ [ 45, 1 ], [ 90, 1 ], [ 80, 1 ], [ 72, 2 ] ], 1,
"Alt(6) wreath Sym(2)", [ "A", 6, 2 ],
[ ( 1,295,275, 79,288,212)( 2,326,341, 20,349,263)( 3, 59,181, 22, 39,136
)( 4,266,216, 44,129,344)( 5,324,269,110,293, 6)( 7,335,313,213,
323, 85)( 8,100,107,270,221,173)( 9,148,152, 11,153, 84)
( 10,145, 74, 18,248,198)( 12,286,185,133,343,222)( 13, 99, 55, 73,
251,123)( 14,149,317,112,246,258)( 15, 98,175,104,345,119)
( 16,135,211,105, 80,235)( 17,140,273,106,201,250)( 19,164, 49,210,
28, 30)( 21,322,277,128, 33,342)( 23,161,233, 81, 60,279)
( 24,287,103, 47,336,191)( 25,208,166, 95,249,209)( 26, 75,144,109,
253,147)( 27, 32, 70,305,304,117)( 29,298,280, 67,245,350)
( 31,195,220,296,303,183)( 34,297,244,243,234,124)( 35, 78,300,118,
160,102)( 36,150,238,184,271,272)( 37,337,237,207,325,197)
( 38,318,306,190,252,218)( 40,204,224,155,178,177)( 41,359,158,321,
299,332)( 42,138, 96,348, 90,260)( 43,262,259,292,327, 83)
( 45,196, 97, 58,268, 56)( 46,290, 65,308,226,227)( 48,131,142,151,
214,282)( 50, 53,340, 62, 52,108)( 51,232,294, 63,347, 66)
( 54,217,192,319, 72,189)( 57,199,101, 76,274,320)( 61,356,205,206,
291,281)( 64,265,315,116,354, 88)( 68,113,338,139,256, 94)
( 69,328, 82,127,215, 93)( 71,126,143,193,360,329)( 77,186,159,284,
225,170)( 86,172,330,314,309,187)( 87,285,132,247,255,236)
( 89,264,182,316,130,137)( 91,228,301,154,202,111)( 92,168,257,230,
165,203)(114,334,276,223,283,242)(115,346,302,146,267,358)
(120,194,134,176,352,125)(121,312,355,200,331,278)(122,174,289,239,
171,311)(141,254,310,241,333,156)(157,231,357,261,163,169)
(162,307,229,167,353,180)(179,351,339,219,188,240),
( 1,174,106,190,280,236, 52,227)( 2,292,279,215,286,177,200,310)
( 3,146, 61,144,195,218, 57, 53)( 4,194,346,197, 75,306,249,123)
( 5,139,205,271, 60, 40,179,115)( 6,134,186, 39, 74,114,246,210)
( 7, 9,183, 54,163, 22,256,130)( 8,282, 45,351,161,118,203,252)
( 10,160,192,208,119,151, 36,125)( 11,222,250,111,354,214, 69, 16)
( 12, 43,143,138, 92,100,343,332)( 13,293, 81, 96,126,296,228,352)
( 14,219,113,337,158, 24,153, 56)( 15,297,291,268,164,303,157,133)
( 17,121,353, 77,156,116,201,335)( 18, 79,140, 72, 83, 94,255,170)
( 19,263,193,169,124,207,349,209)( 20,104,320,182,325,224, 38,317)
( 21,243, 87,251, 84, 80,309,168)( 23,149,120,311,345,191,323,129)
( 25,233,328,274,290,338,289,276)( 26,196,166,176,285, 37,112,117)
( 27,181,247,313,319,135,147,339)( 28,240, 51,300,154,305, 97,326)
( 29,358,132,239,155, 70,180, 93)( 30,230,188,312, 68,142, 90, 49)
( 31, 95,329, 58,221,199, 48,102)( 32,238, 99,152,231, 65, 78,324)
( 33,287, 50,108,198,308,333,109)( 34,241,316,162,350,187,206,172)
( 35,318,336,216, 73,189, 76,122)( 41,101,295,175,226, 42, 98,105)
( 44,278,288, 55, 86,220,262,347)( 46, 82, 59,275,284,307,178,277)
( 47,237,127,103,217,131,253,261)( 62,167,258, 64,171,266,304,145)
( 63,184, 66,128,165,334,360, 91)( 67,342,223,260,173,244,159,225)
( 85,327,301,213,321,234,298,272)( 88,359,356,322,270,281,150,331)
( 89,340,212,204,302,330,110,315)(107,235,341,357,211,269,294,283)
(136,141,299,245,248,344,267,148)(137,264,265,259,348,242,202,355)
(185,273,232,314)(229,254) ] ],
[ 9, 518400, 0, "3a", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 80, 1 ] ], 1,
"Alt(6)^2.2^2", [ "A", 6, 2 ],
[ ( 1,310,179, 31, 89,115,168, 90)( 2,143,172,262, 8, 5, 98,266)
( 3,183, 50,212, 66,210, 64, 10)( 4,348,176,322,326,109,308, 95)
( 6,353, 48,154, 17,113,278, 45)( 7, 61,180,106, 16,279, 46, 54)
( 9,198,235,120, 40,186, 23,222)( 11, 68,357, 69, 41, 12,193, 21)
( 13, 60,254,153,297,105,136,178)( 14, 59,114, 55, 86,241, 19,243)
( 15,343,255, 33,257,256,245,215)( 18,288,352,188,170,130,133,203)
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( 26,316,103,173,223,197,265,218)( 27, 47,332,225,234,355,102, 37)
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( 30, 77, 74,331,195,237,295,191)( 32,242,335,116,298,144,174,336)
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( 39,299, 52,126, 63,148,354,157)( 44,231,360,151,292,217,269,108)
( 49,358,317,127,276, 76,330, 58)( 53,230,261,275,282,339,319,182)
( 57,140,271, 81,347, 72,155,291)( 65,159,313,121,307,325,211,287)
( 67,286,239,145,305,134,213,284)( 71,221, 83,119,293,349,344,187)
( 73,244,149,118,247,304,240,321)( 75,232,208,315,138,181,342,340)
( 79,167,164, 80,248,226,296,323)( 82,281,185,327,277,122,338,306)
( 84,199,163,196,158,146,329,328)( 85,135,350,224,311,233,117,152)
( 91,129,160,194,166,263,272,290)( 92,260,280,128,345,147,132,209)
( 96,200,141,110,303,214,267,201)( 97,137,162,100,111,337,139,318)
( 99,341,258,314,285,107,219,104)(112,161,236,192,351,205,123,250)
(190,238,264,294,270,204,207,274), ( 1,327,312,239,357, 42,280,106)
( 2,160,174,209,251,222,140,223)( 3,288,215,351,227,157, 87,139)
( 4,187,268,112,172,129,142,175)( 5, 26,132,259,358,309, 69, 90)
( 6,221,137,352,169,315,218, 11)( 7,249,266,131,265,332, 52,165)
( 8,113, 34,152,354,240,170,210)( 9,181,208,108,164,290,242,229)
( 10,121,103,213,235,299,335,336)( 12,325,318,360, 99,203,264, 20)
( 13,162,144,146,341, 62, 86,293)( 14,171, 74,313,279,141,135,116)
( 15, 71,340,191,149,263,344,272)( 16,304, 30, 94, 72, 77,153,219)
( 17, 49,256,274,236,226,189,155)( 18,339,111,151,179,198, 33, 92)
( 19,182,100,176, 65, 91,238, 22)( 21,328,359,258,228,241, 25,345)
( 23,282,136,248,178,257,125,105)( 24,134,166,196, 85,148,321,232)
( 27,150,334,194,159,287, 95, 59)( 28,281,347, 79, 46,252,337,183)
( 29, 35,225,211,278,286, 70, 54)( 31,122,301,214,302,310,130, 45)
( 32, 47,173, 83,260,184, 36,243)( 37,154,124,355,168,277,262, 41)
( 38,353,126,349,356, 53,102, 55)( 39,233,330,326,308, 40,253,143)
( 43,119, 82, 84, 96,199,255,120)( 44,289, 61,128, 50,333,342,291)
( 48,331,254,246, 97,158, 93, 81)( 51,234,138,104,207,284,305,320)
( 56,200,212,133, 66,245,195,300)( 57,115,123,224,177,303,343, 60)
( 58,204,118,231, 63,101,329,324)( 64,322, 78,156,107,205,193,127)
( 67,185,307,294,114, 73, 75,197)( 68,110,273,271,217,261,285,270)
( 76, 88,296,314, 98,323,295,216)( 80,267,163,237,192,220,275,230)
( 89,250,297,346,202,311,292,269)(109,247,338,350,167,201,319,276)
(117,298,190,147,348,283,316,180)(145,306,161,244,188,206,317,186) ]
],
[ 10, 518400, 0, "3b", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 80, 1 ] ], 1,
"Alt(6)^2.2^2", [ "A", 6, 2 ],
[ ( 1,342,223,143,216)( 2,282,346, 14,319, 72,156,180,358,246)
( 3, 85, 13,242,155,106,198, 32, 4, 92)( 5,263, 35,313, 64,208,321,
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( 7, 58, 66,159,112, 54, 16,127,241,152)( 8,285,349,213, 90, 56,145,
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154,181,131,114,281,314)( 11,212, 28,124,221,225,323,356,303,316)
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137,253,197)( 20,279,269, 29, 74, 26,172,306, 77,142)
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( 31,328, 37,284,233,360,278,184, 87,105)( 34,234,355,193,215)
( 38,228,345, 59,164, 42,315,224,186,191)( 40,261,339,232,236,205,104,
235,207,162)( 47, 86,219,120,344,133, 61,119,126,299)
( 55,123,130,301,249, 95,108, 69,270,210)( 57,161,293,348,238, 60,177,
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( 82,331,218,167,268,110,173,286,189,226)( 83,307,283,354,333,160,149,
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129,109)(107,111,256,334,171,289,204,295,118,185)(134,351,179,311,
340,296,271,168,325,169)(147,251,292,153,214,245,252,247,217,302)
(201,259,277,298,326), ( 1,122,117, 52,326,172, 61,140,121, 58)
( 2, 14, 96,165, 87, 16, 21,182, 38,287)( 3, 83,256, 88,225, 51,221,
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( 6,325, 70,235,252, 36,268,162, 23, 72)( 7,190,104,259, 17, 48,103,
334, 63, 89)( 8,208, 15,160,157, 19,111,113,228,288)
( 9,215, 66,166,283, 40,284,168, 29,281)( 10,303,102,266,242,149,299,
54,145,300)( 11,278,115,321,341,150,114,188, 41,159)( 12,274,260,175,
234,179, 27,184, 24,352)( 13, 84,109, 65,231,286,262,279, 43,219)
( 18,244,224,318,347,322,313,196,139,311)( 20,214,276,213,238,351,241,
275,128,306)( 22, 78,227,348,307,100, 92,346, 28,350)
( 25, 53, 79,339,123,264,135,328,130,127)( 26,261,110,277,249,336,153,
257, 71, 81)( 30,240,169,198,280,295,178, 56,126, 75)
( 31,270, 82,112,304,317,305,232,151,291)( 32,258, 73,302,210, 97,125,
164,273,199)( 33,282, 95,211,237,158,296,204,301,106)
( 34, 85, 47,194,226,156,193,265,183,203)( 35,138, 80,355,186,155,292,
330, 67,230)( 37, 99, 60,195,136,173,189,290, 74,250)
( 42,319, 44,152,217,343,212,335,263,320)( 45,349,105,323,170, 59,315,
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( 49,239,324,331,218,148,116,192,133,207)( 50,271,201,314,209,180,118,
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( 62,101,163,269,107,236, 68,312,137,272)( 64,132,167,354,143, 86,174,
222, 91,220)( 77,119,297,187,247,309,154,329,200,233)
( 94,298,177,197,333,253,251, 98,144,254)(108,356,120,344,134,308,357,
310,243,142)(147,332,176,359,353,316,246,216,360,338) ] ],
[ 11, 518400, 0, "3b", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 40, 2 ] ], 1,
"Alt(6)^2.2^2", [ "A", 6, 2 ],
[ ( 1, 17,277, 33)( 2,338,105, 38)( 3,350,248, 4)( 5,179,212,333)
( 7,278,197,141)( 8, 48, 10,122)( 9,147,154,133)( 11,314,354, 47)
( 12,102,289, 31)( 13, 72,233,221)( 14, 85,111,131)( 15,139, 40,344)
( 16,185,347, 42)( 18,353,292,290)( 19, 71,207, 26)( 20,259,276,200)
( 21, 27)( 22,175, 41, 86)( 23,117,337,127)( 24,300,247,213)
( 25,177,156,149)( 28, 66,251,135)( 29, 64, 83,112)( 30,161,257,282)
( 32,168,316,171)( 34, 89, 82,110)( 35,180,210,228)( 36,311,261,123)
( 37, 50,260,169)( 39,114,209,294)( 43, 68,332,310)( 44,265,355,272)
( 45,331,195, 76)( 46,173,345,121)( 49,343, 56,281)( 51,128,235,124)
( 52,120,202,224)( 53,270, 88,158)( 54,267,181,256)( 55,321,144,306)
( 57,327,298,339)( 58,274,323,208)( 59,116, 94,134)( 60,303,143,230)
( 61,219,325,266)( 62,104,226,170)( 63,341,283,211)( 65,119,184, 87)
( 67,223,107,349)( 69,234,324,130)( 70,275,201,304)( 73,136,205,351)
( 74,140,101,293)( 75, 81,165,160)( 77,236,152,167)( 78,106,206,243)
( 79,253,297,196)( 80,360,326,313)( 84,162,204,187)( 90,312,203,115)
( 91,352,238,309)( 92,286,335,279)( 93,302,322,359)( 95,118,216, 96)
( 97,113,138,199)( 98,183,231,126)( 99,301,348,125)(100,291,240,329)
(103,222,163,164)(108,284,330,271)(109,336,151,159)(129,342,192,264)
(132,150,340,178)(137,250,295,328)(142,188,356,252)(145,172,218,258)
(146,319,245,318)(148,241,227,280)(153,285,157,317)(155,229,287,315)
(166,191,190,308)(174,320,268,299)(176,193,186,239)(182,215)
(189,198,254,358)(194,237,255,296)(214,242,220,232)(217,249,262,346)
(225,307,246,357)(263,269,334,305)(273,288),
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350,195,269)( 14, 18, 58,208,254,104, 25,138,256,191)
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316,102)( 36, 37, 45,327,100)( 40, 97,308,115,299,197,126,346, 59,331
)( 43,194,289,150, 48,164,274,170, 92,309)( 47, 85,312,140,336,187,
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( 53,342, 70,281,359,185,307,218,119, 80)( 55,303,216,284,133,183,181,
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229,246)(101,169,109,120,322,161,127,295,165,171)(154,250,210,243,253
)(155,263,240,310,234,290,348,338,212,286)(200,353,277,280,223) ] ],
[ 12, 518400, 0, "3b", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 80, 1 ] ], 1,
"Alt(6)^2.2^2", [ "A", 6, 2 ],
[ ( 1, 52,221,113)( 2,292,281,357)( 3,260, 47, 55)( 4,262, 64,264)
( 5, 8,280,290)( 6,170,344, 59)( 7,218,196,175)( 9,307,224,106)
( 10,180,103,208)( 11, 50,225, 82)( 12,189, 96,120)( 13,150, 26, 70)
( 14,153,333,115)( 15, 84,187,293)( 16, 25,251,154)( 17,238, 62,186)
( 18,340,345,261)( 19,135,133, 45)( 20,138,233,294)( 21,125,359,266)
( 22, 83,119,181)( 23,193, 48, 61)( 24,298,306, 72)( 27,337,216,335)
( 28,249,197, 53)( 29, 36,285, 76)( 30,222, 66,242)( 31,179,268,149)
( 32, 95,350,265)( 33, 90,101,326)( 34,142,320,334)( 35,239, 60,286)
( 37,255,161,121)( 38, 54, 40,140)( 39,277,155,328)( 41, 69,231,351)
( 42,157,237,162)( 43,302,226,322)( 44,348,301,300)( 46,305,248,310)
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( 58,107,223,318)( 63,245,220,339)( 65, 79,167,327)( 67,152,309,117)
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( 77,156,315,269)( 78,215,323,234)( 80,331, 92,240)( 85,173,263,136)
( 86,212)( 87, 89)( 88,342,178,250)( 91,232,139,205)( 93,272,353,177)
( 94,199)( 97,284,311,202)( 98,111,158,241)( 99,169,276,270)
(100,131,130,253)(104,184,132,146)(105,329,185,211)(108,258,227,137)
(109,244,343,299)(112,271,129,324)(114,296,230,165)(116,295,141,317)
(118,254,356,134)(124,200,198,172)(127,228,319,204)(143,278,283,304)
(144,195,203,325)(145,289,163,257)(151,346,206,274)(160,201,303,188)
(168,341,213,183)(171,352,214,288)(174,191,360,332)(176,312,219,217)
(182,229,194,256)(192,259,246,252)(207,236,291,287)(235,347,282,279)
(247,275,314,316)(273,308,297,321),
( 1,306, 36,215,238,157, 74,242, 18,345)( 2,233, 12, 58,353)
( 3, 64,278, 90, 62,143,296,156,110, 47)( 4,187,168, 27, 73,281, 7,
308,185,252)( 5,135, 66, 21,108,259,287,194,138,307)
( 6,182, 96,284,240,332,129,359, 25, 37)( 8,164,162, 72,134,146,206,
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( 11, 35, 40,321,271)( 13,280, 16,112,229,220,318, 52,119, 51)
( 14,141, 42, 70,103)( 15,132, 19,203, 53,223,101,142,123, 63)
( 20,355, 68,131,343,283,174,231, 91,310)( 22,113, 48,323,200,209,253,
344,329,133)( 23, 85,245,251,181, 76, 71,250, 82,249)
( 26,179,191, 29,267,205, 55,176,257, 44)( 28, 75,140,163,294,115,151,
88,214,336)( 31,127,201,190,274,226,315,227,116,279)( 32,189,254,111,
357,289, 56,244,291,302)( 33,170,269,197,303,158,309, 78,218,198)
( 34,305,104,122,114,222,312,326,241,258)( 38,166,167, 83,286,290,335,
125,128,171)( 39,338,117,221, 86,330,210,234,282,213)( 41,118)
( 43,236,165,188,247,348, 60,265, 46,320)( 49,224,172,178,173,288,196,
159,319,316)( 54,275,276, 79, 92,177,266,153,202,207)
( 57, 81,192,255, 97)( 59,346,350,243,351,314,109,183,331,354)
( 61, 80,154, 69,216,270,352,139, 65,256)( 67, 94,161,349,180,219,100,
87,317,105)( 77,107,102,328,272,126,295,260,325,149)( 84,106,148,195,
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(120,297,292,239,175)(121,199,334,340,217)(124,293,333,208,193,311,
277,304,313,136)(130,263,137,268,145,261,184,144,204,339)
(147,160,230,186,262,212,322,248,360,300)(211,324,285,342,347) ] ],
[ 13, 518400, 0, "3b", [ [ 45, 1 ], [ 90, 1 ], [ 80, 1 ], [ 72, 2 ] ], 1,
"Alt(6)^2.2^2", [ "A", 6, 2 ],
[ ( 1,321,298,299)( 2,290, 17,246)( 3,125,236, 99)( 4,244,254, 49)
( 5,304, 33,322)( 6,248,143,198)( 7, 44, 70,129)( 8,241,215,333)
( 9,223,283,177)( 10,216)( 11,263,235,314)( 12, 13,234,131)
( 14,163,251,313)( 15, 88,165, 81)( 16,169, 89,120)( 18,144,158, 57)
( 19, 71,352, 65)( 20,265, 93, 24)( 21,195, 90, 28)( 22,336,187,268)
( 23,112,202,222)( 25,118,295,249)( 26,296,100,117)( 27,360,142, 73)
( 29,269,337,282)( 30,253,128,190)( 31,164,324,323)( 32,110, 34,243)
( 35,264,256,245)( 36, 46, 72,220)( 37,305,208,329)( 38,270,174,250)
( 39,213, 75,293)( 40,210,209,258)( 41, 55, 74,277)( 42, 69,335,252)
( 43,348,273,303)( 45,103,111,205)( 47,242, 91,316)( 48,162,157,101)
( 50,135,326,186)( 51, 66, 87, 62)( 52,116, 83, 92)( 53,227,107,151)
( 54,344,197,156)( 56,310)( 58,194, 64,260)( 59,136,171,127)( 60,332)
( 61, 84,228,355)( 63,211, 86,272)( 67,342,160,133)( 68,343,288,126)
( 76,237,311,351)( 77,281,189, 98)( 78,331,121, 79)( 80,334,224,238)
( 82,176,232,226)( 85,104,308,196)( 94,229,155,173)( 95,359,182,145)
( 96,192,317,204)( 97,289,257,115)(102,291,188,161)(105,154,212,175)
(106,119,347,354)(108,159,320,338)(109,318,327,140)(113,123,207,297)
(114,349,225,307)(122,292,262,328)(124,239,138,221)(130,214,312,286)
(132,280,218,271)(134,255,185,274)(137,325,139,200)(141,201,266,181)
(146,319,147,300)(148,172,339,267)(149,276,357,275)(150,285,278,346)
(152,231,350,183)(153,330,217,306)(166,345,170,279)(167,301,358,230)
(168,199,287,309)(178,259,219,180)(179,340,284,302)(184,315,240,206)
(191,261,233,193)(203,356)(247,353,341,294),
( 1,196,158,117,207,175,212,273,150,355)( 2,174,141,210, 57,334,292,
303,199,313)( 3, 15,241, 17,173,121,326, 56, 38,305)
( 4,287,218, 6, 59,257, 66, 67,259, 93)( 5,233,229,260,244,161,282,
114,209,289)( 7,336,311,256,164,314,242,301,220, 73)
( 8,211,146, 96, 44,253,347,183,267,335)( 9,238,332,102,204, 40,170,
77,237, 18)( 10,165,264,350, 84,328, 89, 47, 35,324)( 11,240,130,251,
160,140,248,120,137, 21)( 12,265, 88,285,236,166, 25, 98,119,185)
( 13,112,106, 82,134,286,277, 54,351,297)( 14,168,200,226,227,228, 87,
189,126,340)( 16,247, 42,249,144,104,296,343, 85,116)
( 19, 53,205,304,147, 94,135,143,356,128)( 20,318,306, 22,181,232,156,
327,100,216)( 23,283,348,122,279)( 24,103, 68,338,187,172,202, 91,
123, 99)( 26,148,195,182,213,300, 80, 74, 90,316)( 27,345,113,201,
360,331,342, 58, 62, 32)( 28,235, 61,281,109)( 29,268,125,167,214,
179, 86,315,157,169)( 30,299,223,197, 31,295,323,184,239,275)
( 33,266,219,294, 55,302,250,221,352,346)( 34,108,151, 70, 95,139,293,
71,162,322)( 36,190,118,136,178, 63,225, 43,145,129)( 37, 39,153,254,
321,270,177,263,284,252)( 41, 69,337,222, 79, 72,272,124,288,149)
( 45,101,180, 83,339, 76,354,341,231,310)( 46, 51,154,115,217,107, 52,
358,230,344)( 48, 75,330,105,357,206,280, 49,194,291)
( 50, 78,203,224, 65,159,111,198,319,271)( 60,317,138,278, 81,290,276,
132,171,193)( 64,155,261,186, 97,325,307,152,188,359)
( 92,234,298,131,127,208,191,269,110,353)(133,349,192,333,243,274,258,
262,215,320)(142,308,309,255,163,329,245,246,176,312) ] ],
[ 14, 518400, 0, "3b", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 80, 1 ] ], 1,
"Alt(6)^2.2^2", [ "A", 6, 2 ],
[ ( 1, 48, 31, 29,327,127)( 2, 38,198,153,122, 81)( 3,224, 11, 30,281,320
)( 4,359,118, 26,223, 20)( 5,200,258,140, 64,151)( 6,255,120,123,
202,188)( 7,204,262, 42,264,346)( 8,220,212, 43, 85,275)
( 9,282,279,278,306,106)( 10, 96, 75,146, 66,155)( 12,190, 54, 36,
285, 61)( 13,158,217,174,187,294)( 14,256,154,229,117,196)
( 15,344,191,237,119,105)( 16,178,310,164,300,199)( 17,247,143,185,
350,192)( 18,354,171,293,349,112)( 19,195,115,173,159,182)
( 21, 94,243,108,342,203)( 22, 82,272,329,233,355)( 23,252, 59,152,
184,161)( 24,304,336,194,103,116)( 25,230, 50,139, 45, 62)
( 27,244,176, 34, 88,234)( 28,111,267, 32, 77,317)( 33,141,297, 35,
128, 80)( 37,309,135,133, 44,351)( 39,277,148,124,206,322)
( 40,113,210, 53, 76,168)( 41,100,311,130, 51,296)( 46,236,357,343,
261, 72)( 47,213,104,221,345, 79)( 49,251,302,189,225,314)
( 52,333,268,160,249,211)( 55,162,319, 56,172,338)( 57,169,170, 65,
260,163)( 58, 89, 68,183,353,270)( 60,149,136,315,150,269)
( 63,110,248,352,147,301)( 67,156,201,197, 71,276)( 69,131,193,312,
121,250)( 70,290,125,227,265,308)( 73,208,339,180,132,165)
( 74,257,109,209,232,167)( 78,332,334,253,129,326)( 83,134,137, 91,
323,324)( 84, 97,356,166,181,340)( 86,142,222,280,219, 93)
( 87, 90, 99,358,179,177)( 92,316, 95,313,307,292)( 98,214,175,245,
287,328)(101,218,186,238,138,205)(102,263,242,321,216,144)
(107,286,295,240,335,330)(114,318,241,271,207,291)(126,341,331,145,
215,289)(157,283,231,254,226,337)(228,299,305,239,246,347)
(235,303,266,259,325,288)(273,348,360,274,298,284),
( 1,114, 47, 41,346,179)( 2,108,160,291, 12,182)( 3,357,109,313,202,
199)( 4,247,335, 28,261, 22)( 5,167,289,128,194,306)
( 6, 20,134,131,138,203)( 7,132,266, 39,228, 81)( 8, 77,147, 26,
186, 76)( 9,303, 32,271,333,127)( 10,308, 95,204,298,187)
( 11,240,218,359,201,135)( 13,226,197,116,196, 40)( 14,356,305,104,
267, 93)( 15,151,174,214,324, 63)( 16, 84,158,156,321,275)
( 17,242,191,351,292,339)( 18,145,166)( 19, 91,344,216,163,161)
( 21,211,287, 94,254,188)( 23,170, 44,274,225,279)( 24, 96,322,340,
259,293)( 25,217,189)( 27,334,148,121, 83,332)( 29,245,249)
( 30,323,169,270,181,236)( 31,295, 52,141,316,103)( 33,105,112,139,
318,256)( 34,349,175,133,205, 48)( 35,183, 78,130, 51,184)
( 36,327,243,152, 90,250)( 37, 45,193)( 38,297,246,122,106, 98)
( 42,117,176, 43,328,180)( 46,360, 65, 58, 86, 56)( 49,284,173,129,
159,164)( 50,115,124,336,206,140)( 53,286,348,185,234,263)( 54, 64)
( 55,330,251, 88, 71,265)( 57,111,213,233, 87,136)( 59,107,157, 85,
144,301)( 60,231,320,101,285, 75)( 61,168, 69,341,352, 92)
( 62,282,195,343,110,294)( 66,120,300,239,230, 89)( 67,315,209,227,
192,172)( 68,273,283,258,219,358)( 70, 80,149,355,241,338)
( 72,177,208,354,248,314)( 74,155)( 79,238,252,137,153,171)
( 82,326,272,257,260,118)( 97,123,329)( 99,325,126)(100,221,154,210,
253,255)(102,244,232,150,222,311)(113,262,200,277,223,353)
(119,310,269,317,220,342)(125,302,264,307,281,212)(142,215,347,345,
165,296)(143,178,337,309,207,224)(146,278,304,276,162,331)
(190,312,288,235,229,299)(198,319,280)(290,350) ] ],
[ 15, 518400, 0, "3b", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 80, 1 ] ], 1,
"Alt(6)^2.2^2", [ "A", 6, 2 ],
[ ( 1,317,270,191,221,295,169,332)( 2,234, 16, 62,281,215,251, 17)
( 3,297,228,175, 47,273,204,218)( 4,264, 95,350, 64,262,265, 32)
( 5,173, 68, 80,280,136,354, 92)( 6, 48, 69,275,344, 23,351,316)
( 7,127,321, 55,196,319,308,260)( 8,331,243,263,290,240,358, 85)
( 9,258,203, 84,224,137,144,293)( 10,180, 20,294,103,208,233,138)
( 11,283,284,326,225,143,202, 90)( 12, 31,155,269, 96,268, 39,156)
( 13,107,291, 24, 26,318,207,306)( 14,153,329,105,333,115,211,185)
( 15,325,108,307,187,195,227,106)( 18,229,104,271,345,256,132,324)
( 19,296,159,216,133,165,190, 27)( 21,148, 91,152,359, 57,139,117)
( 22, 66,312,279,119, 30,217,347)( 25,323,292,186,154, 78,357,238)
( 28,158, 79,334,197, 98,327,142)( 29,336,110,134,285,330,355,254)
( 33, 97,304, 82,101,311,278, 50)( 34, 65,241, 53,320,167,111,249)
( 35,342,164,272, 60,250,102,177)( 36,118,349, 74, 76,356, 49,128)
( 37,343, 44,130,161,109,301,100)( 38,274,305, 71, 40,346,310, 81)
( 41, 61, 59,247,231,193,170,314)( 42,339,214,192,237,245,171,246)
( 43,198,200,302,226,124,172,322)( 45,337,147,114,135,335, 56,230)
( 46,151,140,166,248,206, 54,338)( 51,289,303,341,313,257,160,183)
( 52,360,276,116,113,174, 99,141)( 58,150,298,236,223, 70, 72,287)
( 63,162,252,288,220,157,259,352)( 67,232, 73,125,309,205,122,266)
( 75,178,286, 93,126, 88,239,353)( 77,277,179,120,315,328,149,189)
( 83,235,176,242,181,282,219,222)( 86,212)( 87,209, 89,267)
(112,184,182,340,129,146,194,261)(121,131,348,244,255,253,300,299)
(123,213,201,163,210,168,188,145), ( 1,182,199,279)( 2,322,149,251)
( 3,253,319, 99)( 4, 17,245, 59)( 5, 33,298,266)( 6,331,109,357)
( 7,129, 45, 29)( 8,243,145, 10)( 9,329,194,233)( 11,124,232,248)
( 12,323,102, 97)( 13, 75,342,324)( 14,277,340, 44)( 15, 67,114,293)
( 16,333,150,354)( 18, 51,221,287)( 19,117,237,207)( 20,189,353, 39)
( 21,286,344,202)( 22,242,201,108)( 23, 90,126,265)( 24, 57, 36,249)
( 25,244,274,210)( 26,165,123,186)( 27, 60,270,193)( 28, 64,325,310)
( 30,143, 34,295)( 31,131,224, 87)( 32,254,337,262)( 35, 91,261,222)
( 37,235, 49,120)( 38,236,177,113)( 40,282,220,132)( 41,128,111, 55)
( 42,187, 88,115)( 43,360,308,212)( 46,198,122,107)( 47, 63,347,148)
( 48,252,214,204)( 50,160,317,169)( 52,276,246,345)( 53,313,223,268)
( 54,127, 93,192)( 56,179,250,188)( 58,106,140,196)( 61,130,291, 81)
( 62,225,334,351)( 65, 66,171, 84)( 68,303,338,178)( 69, 73, 85,144)
( 70,137,100,208)( 71,336, 79,238)( 72,168,328,230)( 74,138,297,174)
( 76, 89,288,161)( 77,118,240,185)( 78,273,343,136)( 80,197,184,305)
( 82,162,213,326)( 83,315,241,141)( 86,234,356,164)( 92,229,170,263)
( 94,155,285,306)( 95,176,316,153)( 96,209,116,264)( 98,110,167,147)
(101,327,166,227)(103,206,271,309)(104,112,307,349)(105,292,134,156)
(119,228,180,299)(121,158,157,154)(125,302,152,314)(133,283,301,175)
(135,272,352,211)(139,296,247,183)(142,195)(146,205)(151,218,255,190)
(159,216,219,280)(163,258,355,341)(172,304,267,173)(181,321,217,278)
(191,239,294,260)(200,284,332,257)(215,312,335,359)(226,311,289,348)
(231,350,300,269)(256,318)(259,330,290,281)(275,346,320,358) ] ],
[ 16, 1036800, 0, "3b", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 80, 1 ] ], 1,
"Alt(6)^2.2^3", [ "A", 6, 2 ],
[ ( 1, 53,202,227,359,310,193, 7)( 2,117,138,321,308,165, 54, 36)
( 3, 25,122, 78,265,357,353, 89)( 4,358, 61,144,172, 5,342, 86)
( 6, 52,190, 65,334,156,222,213)( 8, 79, 75,228,176,299,106, 71)
( 9, 58,219,116,102,262,243,114)( 10,184, 12, 70,159, 41,194,168)
( 11,207,179, 24,300,186, 34,278)( 13,270,267,253,291,120,245, 17)
( 14, 15, 76,254,242, 96,143,140)( 16, 80,282,230,125,111,115,100)
( 18, 85,133,244,170, 29,352, 51)( 19, 95,127,160,336,169,266,316)
( 20,327, 90,223, 46, 45,319, 64)( 21, 22,121,239,263,354,183,307)
( 23, 60,285,312,234,286,241,199)( 26,302,154,147, 50,110,306,314)
( 27,355, 59, 37,235, 47, 99,225)( 28,214,338,107,360, 42,259,209)
( 30,281,231,103,188,113,232, 66)( 31,277,180, 44,261,206,216,309)
( 32,349,247,233,320,345,289,249)( 33,303,238, 72,192,257,237,136)
( 35,328,119,178,224,273,280,284)( 38,152,283,132,185,150,269,187)
( 39,131,211,173,251,348,305,166)( 40,104,258,333,332,260, 55,201)
( 43,326,174,279,149, 98, 93,208)( 48, 49,264,163, 88,351,198,347)
( 56,153,252,324,335,145,240,196)( 57,255,276,297,329,141,112, 81)
( 62,288,218,340,109,295, 91,108)( 63, 94,313,126,124, 83, 67,164)
( 68,135,325, 92,290,301,212,221)( 69, 73,287,346,129,356,210,298)
( 74,203,151,181,130,195,315,217)( 77,123,215,155,204,317,250,158)
( 82,350,292,118,171,175,246,177)( 84,200,236,341,271,220,330,128)
( 87,274,101,161,311,331,304,343)( 97,226,318,275,323,139,339,337)
(105,256,142,294,134,205,146,191)(137,344,167,296,182,229,162,157)
(148,322,293,272,248,189,268,197),
( 1,209, 5,260,186,145, 71,122,234,136)( 2,137,106,238,232,340,116,
270,229,152)( 3, 35,212, 93,196, 59,121,350,109, 23)
( 4,147,115,216, 95, 38,183,226,201,166)( 6,117,217,193, 7, 27,102,
285,360, 39)( 8,218,224,153,187,127,173, 76,180,330)
( 9,231,243,268,244,287,273,300,101,269)( 10,249, 31, 85,130,338,172,
28, 22,123)( 11,100, 55, 24,301,120, 92,275, 15,328)( 12,159,126,124,
17,324,181, 25,128,210)( 13,239, 87,254,349,267,342, 72, 78, 16)
( 14,223,312,242,291,211,162,138,294,245)( 18,112, 90,142,255,214, 63,
343, 65, 97)( 19,207,325,125, 64, 69, 94,358,283,295)
( 20,108, 54,190,334,167,114,274,144,103)( 21,253, 68,341, 60,305,165,
99,134,319)( 26,311, 66,346, 86,140, 83,326,298,208)( 29,332,276,356,
313,139,185,105, 73,213)( 30,146,154,322,272,230,315,257,355, 62)
( 32, 82,237,241,314, 43,344, 79,259,143)( 33,293,339,202,335,133,278,
157,195,225)( 34,197,304,104, 77, 41,316, 96,194,284)
( 36,132,176,347,182,336,204,184,271,308)( 37, 48,227,203,170,131,251,
256,261,323)( 40,348,354,189,158,233,289,282,320,200)
( 42,156,169,333,329,141,277,252,359,309)( 44,206,310,299,302,220, 74,
110,171,198)( 45,151,353,188,263,161, 67,175, 49,191)
( 46,219,280,296,235,288, 75,264,107, 98)( 47,351,222,205,247,149,221,
118, 88, 56)( 50, 80,199, 61,265,148, 84, 58,337,113)
( 51,286,307,111,129,345,327,258,250,168)( 52,236,266, 57,306,317,178,
179,155,164)( 53,150,262,177,192,119,135,331,279, 81)
( 70,318,357,246,163,321,228,303,352,215)( 89,174,290,292, 91,248,160,
281,297,240), ( 1, 32,136, 71, 61,231,171,306,222,194)
( 2,109, 17,173,274,288,325,281,334, 45)( 3,160,122, 6,166)
( 4,341,249,311,321, 51, 73,300,256, 83)( 5,344,172,218,331,207,182,
99,104,349)( 7, 56,314,345,163,310, 40,355,139, 84)( 8, 62,360, 57,
312,248, 63,280,351,214)( 9, 47,226,102, 48,348,253,327,190,167)
( 10, 65,324,293,342,140,328, 25,191,186)( 11,134,115,332, 88,223,250,
319,168,247)( 12,197,343, 94,221,358, 38, 50, 95,120)
( 13,299,285,260,318)( 14, 43,175,187,144,230,235, 37,275, 59)
( 15,114, 93,147,339, 27,198,159,113,138)( 16,335,257,116,111,236,107,
233,211,145)( 18,315,326,128, 97,330,129,202,294,295)
( 19,174,303,121,103, 77, 24, 64,169,338)( 20, 44,276,210,156,155,286,
282,184,205)( 21,189,259, 26,215,126, 23,225,337,267)
( 22,158,227,277,127,269,329, 53, 41,105)( 28,181,208,254,228,135,305,
237,278,131)( 29,152, 39,119, 86,149,179,289,118,244)
( 30,352,130,212,213,192, 90,258,201,106)( 31, 55,143,229, 92,347,199,
89,320,302)( 33,164,313,153,239)( 34, 81,284,125,206,154,308,220,180,
240)( 35,304, 85, 36,346,110, 75, 96,183, 52)( 42,216,309,195,133,
74,170,151,292,112)( 46,252,350,165,132, 49,287, 66,316,161)
( 54,188, 68,272,353)( 58,283,217, 82,266,157,234,264,137,245)
( 60,354,224,251,317, 69,322,270,162,271)( 67,238,108,246,203,290,359,
255,262,296)( 70,297, 79,124,123,209,323,219,333,261)
( 72,273,268,301, 87,150,101,356,177,298)( 76,185,336, 80,243)
( 78,141,263,193,146)( 91,265,204,340, 98)(100,291,178,307,196,357,
142,148,241,242)(176,200)(232,279) ] ],
[ 17, 23133960, 1, "2", [ [ 359, 1 ] ], 2, "PSL(2, 359)",
[ "L", [ 2, 359 ], 1 ], "psl" ],
[ 18, 46267920, 0, "2", [ [ 359, 1 ] ], 3, "PGL(2, 359)",
[ "L", [ 2, 359 ], 1 ], "pgl" ],
[19, Factorial(360)/2,1,"2",[[359,1]],358, "Alt(360)", ["A",360, 1], "Alt"],
[20, Factorial(360),0,"2",[[359, 1]],360, "Sym(360)", ["A",360, 1], "Sym"]];
PRIMGRP[361]:=
[[ 1, 7398765226737409606771802112000000, 0, "4c", [ [ 36, 1 ], [ 324, 1 ] ],
1, "Alt(19) wreath Sym(2)", [ "A", 19, 2 ],
[ ( 1,236,295,211, 63, 45,360,319, 38,185, 98,332,163, 81,264,282, 12,241,
289,210, 65, 48,344,310, 26,189,110,342,166, 79,256,277, 5,245,301,
221, 70, 42,343,312, 29,173,101,330,170, 91,266,280, 3,237,296,214,
74, 54,354,317, 23,172,103,333,154, 82,254,284, 15,247,299,212, 66,
49,347,321, 35,183,108,327,153, 84,257,268, 6,235,303,224, 76, 52,
345,313, 30,176,112,339,164, 89,251,267, 8,238,287,215, 64, 56,357,
323, 33,174,104,334,157, 93,263,278, 13,232,286,217, 67, 40,348,311,
37,186,114,337,155, 85,258,271, 17,244,297,222, 61, 39,350,314, 21,
177,102,341,167, 95,261,269, 9,239,290,226, 73, 50,355,308, 20,179,
105,325,158, 83,265,281, 19,242,288,218, 68, 43,359,320, 31,184, 99,
324,160, 86,249,272, 7,246,300,228, 71, 41,351,315, 24,188,111,335,
165, 80,248,274, 10,230,291,216, 75, 53,361,318, 22,180,106,328,169,
92,259,279, 4,229,293,219, 59, 44,349,322, 34,190,109,326,161, 87,
252,283, 16,240,298,213, 58, 46,352,306, 25,178,113,338,171, 90,250,
275, 11,233,302,225, 69, 51,346,305, 27,181, 97,329,159, 94,262,285,
14,231,294,220, 62, 55,358,316, 32,175, 96,331,162, 78,253,273, 18,
243,304,223, 60, 47,353,309, 36,187,107,336,156, 77,255,276, 2,234,
292,227, 72, 57,356,307, 28,182,100,340,168, 88,260,270)
(115,198,124,192,120,197,132,205,133,204,117,199,125,195,131,206,126,
203,118,191,122,200,116,196,121,208,129,209,128,193,123,201,119,207,
130,202,127,194)(134,141,143,135,139,140,151,148,152,147,136,142,144,
138,150,149,145,146,137),
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258,114,207, 41,131, 57,128, 91, 39, 14,273,220, 6, 69,303,211, 27,
61)( 11,350,169,182, 85,194,261,134,206,171,175,318,170,341, 22,311,
140,208,204,150,314, 43,340,160,112,189,217,301,316,278,335, 17,133,
307,300,236, 73,167,164,174,342, 55, 35,290,323,265,299,115, 23,257,
320,106, 53,312,287,235,198,269,195,285,119,212, 68,113,343,135,296,
215,244, 32,242,357,147,165, 97,108, 38,337,116,274,305, 56,105,249,
129,209, 49,222,188,223,121,259, 60,101,321,264,238, 31,308,354,326,
187,292, 83,102, 40,227,123,279, 74,330,275,302,349,289, 45,298,158,
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125,164,161, 86,316, 44,262,183,235,341,260, 33,243,292, 95,188, 20,
338,233, 69,257, 14,351,121, 72, 73,138,313,196,340, 66,334,206,202,
214, 78,342,274,129,114, 34,170, 87, 41,184,175, 16,350, 50, 98,182,
58, 29,281,141,221,213,144,210,160,197,314,344,135,149, 52,103,154,
57, 71,224,254, 9, 46,358, 62,355,347, 65,287,177,148, 24,108,156,
218,190, 31, 22,165,119, 36,172, 92, 77,294,226,128,354, 4,362,234,
140,228, 10,255, 68,133,134, 85,217,192,311,137,335,230,186, 18,111,
276,325,173,308,227,333, 23,306,162,252,120, 45, 42, 81,331, 38, 15,
312,220,127, 2, 63, 67, 12, 30,241,229,205,232, 40,132, 97, 26,212,
297, 13,245,225,169, 99,101,118,280,195, 35, 60,300,279,285,293, 80,
352,150,117, 83, 47,174,142,200, 25,238,337,261,359, 21,329,122,151,
328,361,136,236,296,102,145,258,349,211,264,131,253,152,345, 5,360,
298,163,303, 49,244,124, 8,112,251,167,106,353,222,318,266,286, 27,
155,178,290,326,203,305,267, 96,277,321,187,130,113,116,199,246,319,
147,248,189,309,269,115,153,295,284,273, 53, 91,299,259, 17,320, 59,
249,322, 7, 90, 93, 76, 19,247,291,110,301,263, 3,242,278, 28, 51,
179,282,302,250,346,215,100, 39,317, 94,198, 82,324,157,265, 43,270,
208,201,223, 54,315, 75,304,357,219,310, 61,104,272,332, 70,207,240,
55, 84,239,185,209,307,231,330,181, 6, 64, 32,159,123, 89, 56,216,
126,275,283,289,268,146,171, 11,288, 88,105,107, 37,343,323,193,271,
356,180,109, 74,166,336) ] ],
[ 3, 47045520, 0, "2", [ [ 361, 1 ] ], 2, "PSigmaL(2, 19^2)",
[ "L", [ 2, 361 ], 1 ],
[ ( 1, 58,213,281,318,315, 16, 37,280,195, 40,212,217,233,243,130,305, 38,
172,226, 24,108,278,131,307,313,296,361,145, 90,231,257,119, 89,225,
30,148,291,216,227,141, 52, 99, 87, 19, 27, 62,340, 55, 23,294,355,
162, 86,259,157, 36,275,299,184, 47,301,268,286,206,113, 4,125,249,
240, 94,241,230,261,341,133,260, 46, 50, 26,263,360,137,244,118,219,
77, 63,328, 41,289,194, 14,110,331, 67,279, 34, 43, 98,189,354, 20,
252, 95,308,321,186, 96,205,316,349, 32,298, 65,228,192,356,290, 59,
100,345,144, 10, 97, 84,156,342, 42,170,193, 92,211,150,116,220,199,
135,120,362,126, 61,176,153,229, 33,251, 73,215,271,224,152, 79,317,
297,123,204,309, 18,293,132,276,310,353, 80, 72, 74, 5,190,238,236,
173,198,180, 35,234, 22,324, 13,326, 54)( 2,343, 85, 51,352,109, 8,
31,159,221, 45,117,104,191, 57,218,101,142,273,207, 9,335,136,265,
169,214,247,358,105, 15,242,255,106,311,181,209, 12,103,158,167,284,
134,232, 91,187, 7,274,160,235,138,124,344, 83,319, 64,203,300,175,
151,155,303, 68,222,302,333,322,107,323,314, 76,197, 88,357,277,295,
262,154, 17,264,288,165, 44,304,115, 39,208,269,178,146,223,139,174,
182,114,102,149, 60,336,347,272, 53,171,338,112, 82,306,332,111, 56,
202,267,250,256, 70,285, 93,177,337, 29,163,258, 71,320,330,346,351,
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166, 21, 3, 28,327,325, 11,196,127,129,121,210,253,287, 69,270,183,
254,359, 78,266,246,122, 49,339,292,348,128,312,168,334, 48, 25,140,
75,201, 81, 66), ( 1,243,199,253,282, 50, 70,296,358, 55,290,217,
293,249, 59,164, 46,344,195,100)( 2, 28,265,330,280,283,213,193,123,
126, 76,141, 16, 42, 18, 66, 19, 25,340, 26)( 3,188,125, 64,324,286,
316,335,206,176,168,312,268,284, 37, 95,112, 99,314,277)
( 4, 67,317, 93,261,246,159,127,305, 49,229, 54,301, 60, 97,140, 96,
134, 27,154)( 5, 30, 14, 39,133,269, 29,198,345, 10, 88,245,161,318,
34, 61,208, 15,137,273)( 6, 20, 24, 38,292,244,186,285,349, 83,332,
192,214, 74,323, 57,121,220,162,114)( 7,122,138, 94,238,230,200, 71,
90,120, 82,342,281,218, 41,129, 92,307,294,311)( 8,175, 75,251,109,
165, 13,111,322,278,234, 73,225,362,117,190,341,197, 80,187)
( 9,275,287,319,327,236,288,248,103,205,201,303,158,118,170, 79, 87,
119,131, 35)( 11,304,102, 33, 72,320,182, 78,274,194,254,183,223,152,
212,132,328,224, 86,334)( 12,221,308,350,361, 23,146,260, 21, 45, 56,
98,185, 32,264, 77, 58,348,329,142)( 17,272,310,266,309,346,105,352,
177,357,101,279,247,160,145,313, 89,339, 40,252)( 22,343,227,210,166,
325,298,150,147,204,203,202,259,256,108, 81,240,196,179, 63)
( 31,241,297,155,331,231, 36,219,326,209, 65,216,289, 44,181,333,172,
128, 84,295)( 43,306,211, 62,360,242,347,157,113,189,116,351, 48,110,
336,356,124,153,207,163)( 47,233, 69,337,173,359,315,130,180,178, 52,
143, 68,338,263,354,228,226,276, 91)( 51,267,139,355,250,291,235,191,
106,167,149,302,104,257,239,300,215,171,115,156)( 53,353,222,136, 85,
174,271,299,255,262,237,169,144,151,107,135,232,321,270,184)
(148,258) ] ],
[ 4, 47045520, 0, "2", [ [ 361, 1 ] ], 3, "PSL(2, 19^2).2_3",
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327,116,230, 41, 79, 74,202, 72,267,122,184,197, 50,352,149,257,190,
166, 75,119,322,181)( 2,253, 47,262,173,297,339,240,103,178,148,200,
37, 30, 13,143,311, 53,295, 25,146,187,133, 64, 16, 14,134,141, 17,
48, 4, 63,217,208,201, 15,137,299,113,232)( 3, 90,179, 68,108,252,
290,241,237, 40,130,283,199,101,216,131, 45,347,182,298,353,211, 18,
115, 26, 39,219,227,329, 59, 69,274,161, 44, 33,302,268,303, 10,357)
( 5,359, 61,167,118,270,191,350,168,336,138,223,189,228, 88, 99,342,
43,263,340,277,358, 67, 73,276, 70,251,292,309,193,128, 38,355,269,
195,288, 65,196,341,278)( 6, 84,180,177,337,129,308,318,361,192, 36,
306,239,163,139,254,324,233, 52,281,360,123,305,287, 55,247, 94, 24,
266, 92,362,104, 23,156,354,205,121,218,221,326)( 7, 27,120,231,312,
279,334,258,272,349,215,206,250,320,259,194,280, 21,213,335,135, 66,
304,186, 87,294,102,307, 9,356,136, 46, 86, 58,325,126,125,265, 97,
225)( 8,229, 54,110,169,271,198,260, 93, 82,331, 60, 31,155,346,209,
255,210,160,106,315,238, 28, 91, 78,285, 76,111,109, 35, 34,301,264,
214,226,165,348, 19,212, 49)( 11, 32,273, 89,114,145,151,171,204, 85,
175,317,332,157,144, 22,291,203, 29,261,158,236,127, 83,150,235,246,
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222,234, 42,316,333,224,147,243,140,112,244,319,117,220,351, 80, 81,
77,183,154,293,172,124,107,132, 51,159,284,330,289,105,176,296,162,
313,242)(174,338), ( 1,150,307,130,349,343,287, 76,184,135,243, 32,
338,332,189, 12,169,318, 17, 86,316, 27,160,222,188,206,288,192,138,
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237,303,250, 62,361,152, 26,117,115,319, 43, 30,289,276,362,204,202,
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305, 14,251,106,109,344, 75,351,140, 95, 29,148,205,263,312,354,104,
252,315,143,321,360,176)( 5, 89,230,314,334, 71,311, 87,212, 91,259,
170,294,118,269,128, 93,119, 49, 59,126,153,166,193,260,270,200,226,
191, 50,201, 25,149, 60,228,107,232, 8,248,347)( 6,313,329, 83,272,
53,151, 22,280, 46,326,268,249, 45,217,141,310, 99, 92,286,133,186,
33,227,220, 9,178,102,274, 70, 51,355,273, 39,297,168,266, 47,236,
352)( 10,125, 78, 85,198,281, 63,254,108,242,278,155,209,110,164, 41,
77,211, 65,256, 38,121,234,241,194,309, 98, 57, 74,112,356,145,195,
124,174,325,207,245,262,221)( 11,199,239, 28, 13,261,342,264, 61,238,
105,216,136,132, 35,284,187,183,103,214, 81,258, 55,339, 58,306,291,
80,120,308,282,123,253,323,225, 94,358, 66,196, 37)( 18,163, 19, 48,
162,157,271,300,156,301, 90, 23,275,203,101,255,267,158,345,122,144,
295, 36, 73, 79,240,246,283, 24,175,197,336,161, 52, 64,218,116, 44,
296,229)( 20,265,235, 72,146,190,142,353,341, 96,324,182, 88,350,359,
180,111, 34,285,208,139,322,331,231,137,357,223,340,328,177,129,173,
247, 84, 54,299,333,134,185,348)(335,346) ] ],
[ 5, 94091040, 0, "2", [ [ 361, 1 ] ], 3, "PGammaL(2, 19^2)",
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[ ( 1,144,265, 39,198,174,339,305,325,226,344,350,218, 6, 61,274,163, 96,
4,314,211, 56,323, 65,108,168,322,267,349, 2,250,331, 3,196,128,
103, 76, 20,115,202)( 5, 60,222, 86,307,206, 27, 8,201, 52, 70,113,
42, 93,193,136,172, 26,197,268,324, 19,123,205,312,104,306, 64, 88,
99,271,361, 82, 13, 87,269, 16,338,352, 48)( 7, 63, 14,133, 73,179,
241,355, 22,328,294,275,272,213,223,309,134,317, 30,208,183,160, 37,
72,165, 69,357, 57,333,171,220, 79, 49, 54,186, 47,112,244,203,280)
( 9,221,281, 32, 62,215,230,359,289,353,296,180,100,341,191,106,117,
131,254,110, 83,261,332,233,308,102,138,276,266,358,120, 81,273,298,
169,313, 80,287, 31,216)( 10,295,156, 97,319,217,303,243, 24,255,209,
327,141, 34,111,290, 25,304, 55,204, 21,239,181,199,121, 98,145,284,
12, 35,154,277,225,167,347,210,142,190, 45,251)( 11, 94,118,279,212,
362,130,346,150,147,166,293,119,258,187,161,146,318,178, 78,252,149,
109,291, 44,158, 84,182,177,122,229,282, 67,248,148,278,329,192,285,
162)( 15,334, 46,301,354, 36,237,135, 50,238, 41,247,235,351,127,207,
232, 29,151,297, 33,315,228, 77,189,360,139,129,245,264, 89,159, 43,
101,263,283,286,200,320,107)( 17,348, 40,356,260, 90,214, 28, 58,337,
164,310,114,124, 75,170,270,240,152, 23, 71, 59,176,256, 68,249,262,
224,253,132, 66,246,311,234,257,231,288,143,345, 95)( 18,105,336, 38,
155,302,236,188, 74,227,126,175,219,300,259, 53,194,316, 51,343,125,
195,157,342,116, 92,184,299,137,140,153,242,173, 85, 91,321,185,340,
292,326)(330,335), ( 1,276, 2, 7, 61,315,214,109,182,250,264,300,
236,294,190,137,271,247,361,270,267,199,310, 81, 72,245, 89, 43,160,
150, 39, 4,224,191, 21, 87,207,248,198,302,161, 14,172,327, 91,131,
308,312,284, 53,249,119,295,256, 63,143,159, 42,201,345,351, 23,168,
321,104,138,144,288, 85,330,346, 64,233,194, 8,240, 74,205,177,181,
358, 36,162,317,113,328,187,291,241,282, 40,106,298,265,123, 88,339,
329, 84, 38,244, 55, 46,179,290,222,219,128,242,218,352,299,195,253,
189,225,239,307, 18,275,174, 66,120,125,213,126,158,356, 31,296, 26,
289,216, 45, 24,357,306,344,229, 3,320, 90,154,230, 6,343,127,170,
107,231,115,309, 28,323,122,332, 70,117, 80, 25,197,262,336,223, 83,
359,238, 50, 98,279, 95,148,217,134,114,338,209,167,188,342,246,324,
92,354,156,303,208,203,221,278,155,340, 73,152,118,110, 33, 48,196,
304,139,178, 56,142,313,116, 34, 41,349,192,212,136,234,261,263,108,
59,141, 15,252,287,100,175, 30,318,184,285,316, 69,206, 52,232,220,
360, 65, 49, 22,325, 60,111,254,326, 76,215,274, 51,163,235, 16, 67,
164,105, 78, 62,129,269,257, 75,283, 58,173,204,305,171, 97,314, 27,
202,237,112,348, 68, 19,226,228,255,353,277,297,140, 86, 93, 11,176,
347, 71,311,350,185,293, 79, 94, 17, 9,337, 54,149,334,211,268,286,
281,186,333,135, 35,165,243,147,301,322,280,151, 13,355,272,341, 32,
210, 29, 77,251,130, 44,266,153,227,292,102, 47, 10, 57,157, 5,166,
99,180, 12,258, 20,319,362,146,121,259,335, 37,169,124,260,145,183,
132,103, 82,273,200,101,193, 96,133,331) ] ],
[6, Factorial(362)/2,1,"2",[[361,1]],360, "Alt(362)", ["A",362, 1], "Alt"],
[7, Factorial(362),0,"2",[[361, 1]],362, "Sym(362)", ["A",362, 1], "Sym"]];
PRIMGRP[363]:=
[[1, Factorial(363)/2,1,"2",[[362,1]],361, "Alt(363)", ["A",363, 1], "Alt"],
[2, Factorial(363),0,"2",[[362, 1]],363, "Sym(363)", ["A",363, 1], "Sym"]];
PRIMGRP[364]:=
[[ 1, 4585351680, 1, "2", [ [ 243, 1 ], [ 120, 1 ] ], 1, "PSp(6, 3)",
[ "C", [ 3, 3 ], 1 ],
[ ( 7,188)( 8,311)( 9,358)( 11,353)( 12,100)( 13, 21)( 14,104)( 15,272)
( 16,174)( 17,300)( 19,302)( 20,235)( 22,132)( 23,263)( 24,203)
( 25,344)( 26,173)( 27,255)( 28,339)( 29,195)( 30,244)( 31,193)
( 32,357)( 33,303)( 34,258)( 35, 56)( 36,123)( 38,333)( 39,150)
( 40,341)( 41,322)( 42,190)( 44,329)( 45,148)( 46,305)( 47,261)
( 48,262)( 49,170)( 50,285)( 51,157)( 52,266)( 53,168)( 54,121)
( 55,138)( 57,337)( 58,144)( 59, 65)( 60,342)( 61,228)( 62,233)
( 63,240)( 64, 98)( 66,141)( 67,277)( 68,321)( 69,197)( 70,296)
( 71,325)( 72,270)( 73,218)( 74,172)( 75,345)( 76,364)( 77,247)
( 78,212)( 79,152)( 82,113)( 83,147)( 84,217)( 85,119)( 86,103)
( 87,346)( 88, 92)( 89,354)( 91,165)( 93,265)( 94,158)( 95,273)
( 96,180)( 97,227)( 99,177)(101,236)(102,245)(105,281)(106,306)
(109,309)(110,133)(114,336)(115,242)(116,291)(117,146)(118,295)
(120,160)(122,241)(125,130)(126,140)(127,229)(128,331)(131,149)
(136,155)(137,269)(139,186)(142,292)(143,275)(145,268)(151,169)
(156,256)(159,347)(161,167)(162,237)(163,318)(166,280)(171,350)
(175,199)(176,294)(178,184)(179,239)(181,201)(182,310)(183,189)
(185,205)(187,221)(192,288)(194,206)(196,232)(198,207)(200,231)
(202,213)(204,238)(208,290)(209,243)(210,260)(211,282)(214,264)
(215,323)(216,313)(219,312)(220,324)(222,249)(226,253)(230,293)
(234,314)(248,283)(254,279)(257,361)(259,278)(267,335)(271,340)
(274,330)(276,338)(284,349)(286,327)(289,299)(297,363)(298,334)
(304,362)(315,351)(317,360)(320,356)(326,343),
( 1, 17,143,138,267, 69, 72,197,272,278, 82,253, 6, 3, 2)
( 4, 5, 19,223,222)( 7,289,303, 39, 53, 68,101,269,183,349,171,188,
189,182, 50)( 8,310,314,100,216, 59,274,287,227,174, 74,324, 67,350,
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( 10,177,163, 37,120,234,355,137,221,293,346,273,220,268,353)
( 11,316,256,134,202)( 12,363, 87,231, 70,299,191,277, 46,112,239, 99,
111,213,326)( 13, 83,357,215, 71)( 14,255,136, 38,203,152,107, 47,
122,257, 26,145,281,290,126)( 15,325,335,356, 58, 73,327,129,271,364,
81,266,201, 36, 51)( 16, 43, 65,248,282)( 18,218,318,184,233, 27, 55,
150,291, 86,187,154, 94,260,251)( 20,166,180,270, 62,280,258,146,309,
108, 24,133,307,261,322)( 21,117, 41,323,304,232,132,135,205,292, 42,
124,103, 35,344)( 22,175,321,259,161, 96,288,179,181,224,301,198, 89,
332,296)( 23,317,359,142,153)( 25, 63,200,195,127)( 28,109,308,264,
110,351,337,167,240,140,176,119,343,219,345)( 29,169,199,148,116)
( 30,283, 77,330,361,186, 84,165,158,336, 80,263,229, 33, 34)
( 31,294,340, 92,312)( 32, 90,147,212,247)( 40,206, 54,217,141)
( 45,131,159, 60,193)( 49, 56,328,279,285)( 52,156,286,157,320)
( 57,121,297,243, 85,105,115, 95,194,155,226,302,250,249,300)
( 64,228,334,102, 98)( 75, 97, 78,211,237,235,236,118,360,352,114,354,
204,341,139)( 76,208,149,173,254)( 79,358,225,125,214)
( 88,164,196,311,284)( 91,338,207,190, 93)(104,362,295,151,230)
(106,315,252,333,262)(123,178,192,144,348)(128,238,329,185,210)
(160,305,242,168,209)(162,319,244)(172,298,313,339,241) ] ],
[ 2, 9170703360, 0, "2", [ [ 243, 1 ], [ 120, 1 ] ], 1, "PSp(6, 3):2",
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[ ( 1,281,320,129)( 2,197,101,218)( 3,309, 84,199)( 4,140, 26,215)
( 5,200,249,318)( 6,145,182, 90)( 7,111, 54, 48)( 8,183,165,181)
( 9,185,209,105)( 10,118,317, 33)( 11, 92, 12, 22)( 13, 94, 73,238)
( 14,310,266,153)( 15,349, 31, 49)( 16,335,257, 41)( 17, 38,134,344)
( 18,103,228, 37)( 19,348, 82,137)( 20,156,311,294)( 21,147, 99,282)
( 23,250, 74,117)( 24,127,204,192)( 25,324,216,254)( 27,359,269,173)
( 28,166,235, 34)( 29, 89,322,353)( 30,279,132,104)( 32,295, 69, 52)
( 35,334,225,126)( 36,246, 57, 86)( 39, 43, 79,272)( 40, 77,283,331)
( 42,243,263,109)( 44,292, 67,319)( 45,150,210,176)( 46,222,211, 71)
( 47,207,180,160)( 50,260,261,112)( 51,122,232,152)( 53,340, 63,244)
( 55,195,341,355)( 56,155, 72,271)( 58, 61,342,239)( 59, 96, 85,286)
( 60,236,158,253)( 62,201,233,364)( 64,345,159,303)( 65,247,343,357)
( 66,291,289,217)( 68,154,315,255)( 70,157,213,277)( 75,328,285,313)
( 76,242,262,268)( 78,248,171,306)( 80,299,280,339)( 81,106,107,275)
( 83,297,149,119)( 87, 91,276,143)( 88,314,170,125)( 93,237,337,168)
( 95,136,214,133)( 97,161,138,115)( 98,356,113,190)(100,230,146,273)
(102,327,172,350)(108,203,221,223)(110,189,163,120)(114,219,224,325)
(116,326,196,231)(121,336,124,194)(123,131,139,287)(128,164,240,167)
(130,363,169,288)(135,264,141,316)(142,354,278,346)(144,329,308,332)
(148,179,321,206)(151,351,258,265)(162,352,184,360)(174,208,298,361)
(175,256,251,226)(177,302,267,312)(178,301,187,284)(186,191,220,259)
(188,245,358,323)(193,274,347,333)(198,305,300,293)(202,212,290,307)
(205,330,241,296)(227,252,270,229)(234,362,338,304),
( 1, 4)( 2, 8)( 3, 9)( 5, 18)( 6, 16)( 10, 32)( 11, 36)( 12, 40)
( 14, 31)( 15, 49)( 19, 61)( 20, 64)( 21, 52)( 22, 70)( 23, 73)
( 24, 77)( 25, 56)( 26, 57)( 27, 85)( 28, 33)( 29, 78)( 34,103)
( 35,104)( 37,110)( 38, 88)( 39,102)( 41,117)( 42,119)( 43, 92)
( 44,124)( 45,125)( 46,130)( 47, 96)( 50,123)( 51, 59)( 53,126)
( 54, 71)( 55,148)( 58,155)( 60, 65)( 62,113)( 63, 72)( 66,164)
( 67, 87)( 68,157)( 69,163)( 74,175)( 75,147)( 76,139)( 79,173)
( 81, 99)( 82,188)( 83,192)( 86,181)( 89,109)( 90,208)( 91,116)
( 93,107)( 94,213)( 95,217)( 98,223)(100,141)(101,108)(105,228)
(106,187)(112,156)(114,233)(115,240)(118,206)(120,244)(121,246)
(122,249)(127,204)(129,172)(131,142)(132,258)(133,219)(134,264)
(135,268)(137,201)(138,273)(140,205)(143,158)(144,282)(145,284)
(146,220)(149,287)(151,253)(152,186)(153,290)(159,272)(160,166)
(161,257)(162,280)(167,279)(168,274)(169,300)(170,250)(171,238)
(174,309)(176,285)(177,200)(178,269)(179,312)(180,313)(183,211)
(185,242)(190,292)(191,317)(193,229)(194,245)(195,295)(198,276)
(199,225)(202,278)(203,224)(207,226)(209,230)(210,304)(212,332)
(214,252)(216,334)(218,255)(221,265)(227,234)(232,261)(235,302)
(236,330)(237,316)(241,294)(243,283)(247,336)(248,307)(251,345)
(256,259)(262,275)(263,349)(266,301)(267,321)(270,339)(271,329)
(277,298)(286,355)(289,315)(291,344)(293,320)(297,361)(299,306)
(305,353)(310,331)(311,322)(314,354)(323,326)(325,340)(327,358)
(328,337)(335,347)(338,342)(352,364)(360,363) ] ],
[ 3, 4585351680, 1, "2", [ [ 243, 1 ], [ 120, 1 ] ], 1, "O(7, 3)",
[ "B", [ 3, 3 ], 1 ],
[ ( 3, 7, 8)( 9, 13, 17)( 10, 14, 18)( 11, 15, 19)( 12, 16, 20)
( 21, 61, 89)( 22, 62, 90)( 23, 63, 28)( 24, 27, 66)( 25, 64, 91)
( 26, 65, 92)( 29, 67, 34)( 30, 33, 70)( 31, 68, 93)( 32, 69, 94)
( 35, 71, 95)( 36, 72, 96)( 37, 42, 74)( 38, 41, 73)( 39, 44, 76)
( 40, 43, 75)( 45, 77, 97)( 46, 78, 98)( 47, 52, 82)( 48, 79, 51)
( 49, 80, 99)( 50, 81,100)( 53, 58, 86)( 54, 83, 57)( 55, 84,101)
( 56, 85,102)( 59, 87,103)( 60, 88,104)(105,193,130)(106,129,202)
(108,194,128)(109,127,201)(111,134,204)(112,133,203)(113,195,132)
(114,196,131)(117,197,229)(118,198,230)(119,138,206)(120,199,137)
(122,136,205)(123,200,135)(139,158,214)(140,157,213)(141,207,156)
(142,208,155)(143,162,216)(144,209,161)(145,160,215)(146,210,159)
(147,211,231)(148,212,232)(163,178,220)(164,177,219)(165,176,218)
(166,175,217)(167,182,224)(168,181,223)(169,180,222)(170,179,221)
(183,192,228)(184,225,191)(185,190,227)(186,226,189)(233,285,313)
(234,286,314)(235,287,315)(236,288,316)(239,289,317)(240,290,318)
(243,291,319)(244,292,320)(245,293,321)(246,294,322)(247,295,323)
(248,296,324)(249,297,325)(250,298,326)(259,299,327)(260,300,328)
(261,301,329)(262,302,330)(263,303,331)(264,304,332)(265,305,333)
(266,306,334)(267,307,335)(268,308,336)(273,309,337)(274,310,338)
(275,311,339)(276,312,340)(341,349,361)(342,357,350)(343,358,351)
(344,352,362)(345,359,353)(346,360,354)(347,355,363)(348,356,364),
( 1, 2, 3, 4, 5, 6)( 7, 9, 11, 8, 10, 12)( 13, 21, 29, 37, 45,
53)( 14, 22, 30, 38, 46, 54)( 15, 23, 31, 39, 47, 55)
( 16, 24, 32, 40, 48, 56)( 17, 25, 33, 41, 49, 57)( 18, 26, 34, 42,
50, 58)( 19, 27, 35, 43, 51, 59)( 20, 28, 36, 44, 52, 60)
( 61,105,139,163,183, 84)( 62,106,140,164,184, 85)( 63,107, 83,125,
153,173)( 64,108,141,165,185,101)( 65,109,142,166,186,102)
( 66,110, 86,126,154,174)( 67, 79,121,151,171,187)( 68,111,143,167,
78,120)( 69,112,144,168, 77,119)( 70, 82,124,152,172,188)
( 71,113,145,169, 98,136)( 72,114,146,170, 97,135)( 73,115,147, 74,
116,148)( 75,117,149, 76,118,150)( 80,122, 94,132,160,180)
( 81,123, 93,131,159,179)( 87, 89,127,155,175,189)( 88, 90,128,156,
176,190)( 91,129,157,177,191,103)( 92,130,158,178,192,104)
( 95,133,161,181,100,138)( 96,134,162,182, 99,137)(193,215,227,257,
279,283)(194,210,225,255,277,281)(195,233,261,218,248,270)
(196,234,262,217,247,269)(197,235,231)(198,236,212)(199,237,205,241,
200,238)(201,209,226,256,278,282)(202,216,228,258,280,284)
(203,239,263,220,250,272)(204,240,264,219,249,271)(206,242)
(207,243,265,221,251,273)(208,244,266,222,252,274)(211,229,259)
(213,245,267,223,253,275)(214,246,268,224,254,276)(230,260,232)
(285,341,335,295,287,340)(286,342,306,296,316,309)(288,311,290,344,
308,298)(289,343,333,297,315,338)(291,301,345,322,332,356)
(292,331,355,321,302,346)(293,330,354,320,303,347)(294,304,348,319,
329,353)(299,310,317,351,305,325)(300,337,314,350,334,324)
(307,323,327,312,313,349)(318,352,336,326,328,339)(357,358,361)
(359,363,364) ] ],
[ 4, 9170703360, 0, "2", [ [ 243, 1 ], [ 120, 1 ] ], 1, "PSO(7, 3)",
[ "B", [ 3, 3 ], 1 ],
[ ( 3, 7, 8)( 9, 13, 17, 10, 14, 18)( 11, 15, 19)( 12, 16, 20)
( 21, 61, 89, 26, 65, 92)( 22, 62, 90, 25, 64, 91)( 23, 63, 28, 27,
66, 24)( 29, 33, 70)( 30, 67, 34)( 31, 68, 93, 32, 69, 94)
( 35, 71, 95, 36, 72, 96)( 37, 42, 74, 38, 41, 73)( 39, 44, 76)
( 40, 43, 75)( 45, 77, 97, 50, 81,100)( 46, 78, 98, 49, 80, 99)
( 47, 48, 79, 51, 52, 82)( 53, 83, 57)( 54, 58, 86)( 55, 84,101, 56,
85,102)( 59, 87,103, 60, 88,104)(105,108,194,130,128,201)
(106,193,127,129,202,109)(107,110)(111,114,196,132,133,203)
(112,113,195,131,134,204)(115,116)(117,197,229,118,198,230)
(119,199,136,138,206,122)(120,123,200,137,135,205)(121,124)(125,126)
(139,207,156,140,208,155)(141,157,213,142,158,214)(143,209,161,145,
210,159)(144,160,215,146,162,216)(147,211,231)(148,212,232)(149,150)
(153,154)(163,177,219,166,176,218)(164,178,220,165,175,217)
(167,182,224,168,181,223)(169,180,222,170,179,221)(171,172)
(183,225,190,192,228,185)(184,186,226,191,189,227)(187,188)
(233,285,313,239,289,317)(234,286,314,240,290,318)(235,287,315,259,
299,327)(236,288,316,260,300,328)(237,241)(238,242)(243,291,319,245,
293,321)(244,292,320,246,294,322)(247,295,323,249,297,325)
(248,296,324,250,298,326)(251,254)(252,253)(255,257)(256,258)
(261,301,329,262,302,330)(263,303,331,264,304,332)(265,305,333,268,
308,336)(266,306,334,267,307,335)(269,270)(271,272)(273,309,337,275,
311,339)(274,310,338,276,312,340)(277,278)(279,280)(281,284)(282,283)
(341,342,357,352,351,362)(343,344,358,350,349,361)(345,348,360,355,
354,364)(346,347,359,356,353,363),
( 1, 2, 3, 4, 5, 6)( 7, 9, 11, 8, 10, 12)( 13, 21, 29, 37, 45,
53)( 14, 22, 30, 38, 46, 54)( 15, 23, 31, 39, 47, 55)
( 16, 24, 32, 40, 48, 56)( 17, 25, 33, 41, 49, 57)( 18, 26, 34, 42,
50, 58)( 19, 27, 35, 43, 51, 59)( 20, 28, 36, 44, 52, 60)
( 61,105,139,163,183,102)( 62,106,140,164,184,101)( 63,107, 86,126,
154,174)( 64,108,141,165,185, 85)( 65,109,142,166,186, 84)
( 66,110, 83,125,153,173)( 67, 82,124,152,172,188)( 68,111,143,167,
80,122)( 69,112,144,168, 81,123)( 70, 79,121,151,171,187)
( 71,113,145,169, 98,136)( 72,114,146,170, 97,135)( 73,115,147, 74,
116,148)( 75,117,149, 76,118,150)( 77,119, 93,131,159,179)
( 78,120, 94,132,160,180)( 87, 89,127,155,175,189)( 88, 90,128,156,
176,190)( 91,129,157,177,191,103)( 92,130,158,178,192,104)
( 95,133,161,181,100,138)( 96,134,162,182, 99,137)(193,215,225,255,
277,281)(194,210,228,258,280,284)(195,233,261,218,248,270)
(196,234,262,217,247,269)(197,235,211)(198,236,232)(199,237)
(200,238,206,242,205,241)(201,216,226,256,278,282)(202,209,227,257,
279,283)(203,239,263,220,250,272)(204,240,264,219,249,271)
(207,243,265,222,252,274)(208,244,266,221,251,273)(212,229,259)
(213,245,267,223,253,275)(214,246,268,224,254,276)(230,260,231)
(285,341,336,295,300,339)(286,342,307,296,315,312)(287,311,314,350,
308,324)(288,338,318,352,334,326)(289,343,306,297,299,310)
(290,344,333,298,316,337)(291,302,346,319,331,355)(292,332,356,320,
301,345)(293,304,348,321,329,353)(294,330,354,322,303,347)
(305,325,327,309,317,351)(313,349,335,323,328,340)(357,362,361)
(359,364,360) ] ],
[ 5, 4245696, 1, "2", [ [ 12, 1 ], [ 243, 1 ], [ 108, 1 ] ], 1, "G(2, 3)",
[ "G", 3, 1 ],
[ ( 1,180, 88,238,304, 70, 38,137,279,282,157, 23)( 2,102,363, 80, 58,303,
54,341,212, 5,332,274)( 3,338,321, 90,243,191,305,193, 77,310, 44,
27)( 4, 33,172, 64)( 6, 34,214,245,194,362,111,225,132,155,356,190
)( 7,355,240,350, 18,276,256,187, 8,177, 73,242)( 9,286,226,222,
272, 78,323,357,136,133,162,327)( 10,335,156, 65, 85, 45, 97,197,219,
298, 57, 96)( 11,140,300,231,116, 25,343,346,255,333,208, 63)
( 12, 35,166,319,211,199, 69, 62,246,354,163, 93)( 13,296,349,213, 53,
68,168,233,308,290,104,108)( 14,241,302, 74,328,145,129,331,253, 86,
322,192)( 15,257,127,313,119,223, 56, 76, 98,198,326,289)
( 16,150,200,247,173,183,361,278, 17,216,317, 82)( 19,264,260,306,195,
126)( 20,117,347,174,269,204,259,344,271,284,267, 22)
( 21, 61,360, 40,348,244,125,220,207,227, 26,249)( 24,134,210,329,215,
67,218, 29,186,121,175,230)( 28,295,353,206)( 30,224,110,342,184, 36,
217, 83,301,112,124, 32)( 31,188,113,143)( 37,250,142, 91,330,292,
122,185,314,165, 52,228)( 39,158,159,160,320,315)( 41,148,100,196,
248, 60, 99,299,324, 59, 51,258)( 42,270,291, 66)( 43,120,144,275,
263,288, 94, 46,147,202,209, 48)( 47,309,266,176,294,285,325,139, 49,
103, 50, 95)( 55, 92)( 71,287,359,340)( 72,239,138,178,131,352,252,
261,345,254,364,339)( 75,141,169,235,179,229,154,167, 81,268,283,153)
( 79,164,170,358)( 84,101)( 87,189, 89,293)(105,106,312,265,123,114,
277,201,130,151,297,128)(107,203,221,181,232,171,237,273,311,205,351,
115)(109,161,146,236,318,182,307,337,251,149,336,135)(118,262,152,281
)(234,316)(280,334),
( 1,251,115, 45, 60,268,263, 36,120,151,240,282,225)( 2, 9,176,200,
347,221,106,169,157,345, 34, 69,253)( 3,250,133,214,280,137,343,124,
92,364,211, 97,359)( 4,234,188,138,344,186,348,132,218,204,321,247,
110)( 5, 57,217,170,252, 23,313,216, 33,242, 90,113,125)
( 6, 75,291,310,284,193,354,286,123, 25,246,159,325)( 7,224,330, 70,
68,289, 47,100,317,131,338,146,303)( 8,190,189,342,266,239,117,112,
135,244, 48,333,238)( 10, 64,147,296,156, 91,108,205,121,180, 21,107,
299)( 11, 16, 52,126, 30,162, 49,312,145,114,274,332,336)
( 12, 58,290,215,329,199,222, 26,158,139,227,130,206)( 13, 71,182, 99,
61,111,249, 79,101, 65,243,171,191)( 14,300,152,129,203,362,326,150,
346, 19,168, 44, 18)( 15,181, 72, 67,177,235, 89,143,269,324,337,361,
298)( 17,237, 73,308,319,161,202,154,301, 32,265, 39,219)
( 20,149,352,127,331, 76,102,257,315,232, 53,153, 55)( 22,278,185, 77,
293,105,220,316, 96,322, 31,356,140)( 24,305,320, 74, 82, 66,213,358,
275,295,174,198,201)( 27,304,119,141,187,328,223,255, 63,357,323,192,
212)( 28, 98,262,109,229,104,245, 35,260, 43, 29,279, 59)
( 37,209,118,248,277,256, 56,160,288,363,276,270,103)( 38,335,318, 42,
148,273,267,122, 54,166,136,297,264)( 40, 87,271,309,194, 80, 81,184,
360, 85,231, 78, 46)( 41,311,163,230,164,226,116, 84,349,272,254,355,
93)( 50,236,287,142,341,241,306,353,134,196,294,314,307)
( 51,334,261,175,258,128,208,228,302,292,195,350,207)( 62,285, 95,340,
351,179, 88,259,339,283,281,155, 94)( 83,183,173,178, 86,210,144,167,
172,197,233,165,327) ] ],
[ 6, 43589145600, 1, "2", [ [ 33, 1 ], [ 165, 2 ] ], 1, "Alt(14)",
[ "A", 14, 1 ],
[ ( 1, 2, 3, 5, 9, 15, 25, 39, 59, 85,119,161)( 4, 7, 13, 21, 35, 53,
79,111,153,203,264,274)( 6, 11, 19, 31, 49, 73,105,145,195,254,162,
214)( 8, 14, 23, 36, 55, 80,113,154,205,265,325,213)
( 10, 17, 29, 45, 69, 99,139,187,246,164,217,277)( 12, 20, 33, 50, 75,
106,147,196,256,315,215,275)( 16, 27, 43, 65, 95,133,181,238, 86,121,
165,218)( 18, 30, 47, 70,101,140,189,247,307,120,163,216)
( 22, 37, 57, 83,117,159,211,272,333,355,278,336)( 24, 38, 58, 84,118,
160,212,273,334,364,324,335)( 26, 41, 63, 91,129,175,232, 88,124,169,
223,283)( 28, 44, 67, 96,135,182,240,299,122,166,220,279)
( 32, 51, 77,109,151,201,262,322,255,316,219,280)( 34, 52, 78,110,152,
202,263,323,359,326,360,276)( 40, 61, 89,125,171,226)
( 42, 64, 93,130,177,233,293, 60, 87,123,167,222)( 46, 71,103,143,193,
252,313,257,317,356,284,339)( 48, 72,104,144,194,253,314,354,204,266,
327,337)( 54, 81,115,157,209,270,331,347,170,225,286,340)
( 56, 82,116,158,210,271,332,363,306,221,281,338)( 62, 90,127,172,228,
287)( 66, 97,137,185,244,304,146,197,258,318,227,288)
( 68, 98,138,186,245,305,350,206,267,328,361,282)( 74,107,149,199,260,
320,239,300,126,173,230,290)( 76,108,150,200,261,321,358,308,351,168,
224,285)( 92,131,179,236,297,148,198,259,319,357,294,344)
( 94,132,180,237,298,346,112,155,207,268,329,341)(100,141,191,250,311,
241,301,348,178,235,296,345)(102,142,192,251,312,353,188,248,309,229,
289,342)(114,156,208,269,330,362,292,128,174,231,291,343)
(134,183,242,302)(136,184,243,303,349,190,249,310,352,176,234,295),
( 2, 4, 8)( 3, 6, 12)( 5, 10, 18)( 7, 14, 24)( 9, 16, 28)
( 11, 20, 34)( 13, 22, 23)( 15, 26, 42)( 17, 30, 48)( 19, 32, 33)
( 21, 36, 56)( 25, 40, 62)( 27, 44, 68)( 29, 46, 47)( 31, 50, 76)
( 35, 54, 55)( 39, 60, 88)( 41, 64, 94)( 43, 66, 67)( 45, 70,102)
( 49, 74, 75)( 53, 80,114)( 59, 86,122)( 61, 90,128)( 63, 92, 93)
( 65, 96,136)( 69,100,101)( 73,106,148)( 79,112,113)( 85,120,164)
( 87,124,170)( 89,126,127)( 91,130,178)( 95,134,135)( 99,140,190)
(105,146,147)(111,154,206)(119,162,215)(121,166,221)(123,168,169)
(125,172,229)(129,176,177)(133,182,241)(139,188,189)(145,196,257)
(153,204,205)(161,213,274)(163,217,278)(165,219,220)(167,223,284)
(171,227,228)(175,233,294)(181,239,240)(187,247,308)(195,255,256)
(203,265,326)(214,275,335)(216,276,277)(218,279,337)(222,282,283)
(226,287,341)(232,292,293)(238,299,347)(246,306,307)(254,315,355)
(264,324,325) ] ],
[ 7, 87178291200, 0, "2", [ [ 33, 1 ], [ 165, 2 ] ], 1, "Sym(14)",
[ "A", 14, 1 ],
[ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50)( 4, 6, 8, 11,
14, 18, 22, 27, 32, 38, 44, 52, 59, 68)( 9, 12, 15, 19, 23, 28, 33,
39, 45, 53, 61, 70, 79, 91)( 16, 20, 24, 29, 34, 40, 46, 54, 62, 72,
81, 93,106,121)( 25, 30, 35, 41, 47, 55, 63, 73, 83, 95,108,124,141,
161)( 36, 42, 48, 56, 64, 74, 84, 97,110,126,144,164,182,201)
( 49, 57, 65, 75, 85, 98,112,128,146,167,185,205,226,247)
( 51, 58, 67, 77, 88,101,116,133,152,171,190,211,233,151)
( 60, 69, 78, 89,102,117,134,153,172,191,212,234,255,276)
( 66, 76, 86, 99,113,130,148,169,188,208,230,251,272,293)
( 71, 80, 92,104,118,135,154,173,192,213,235,256,277,299)
( 82, 94,107,122,139,155,174,193,214,236,257,278,300,319)
( 87,100,114,131,138,158,178,198,220,243,265,287,309,329)
( 90,103,119,136,156,175,195,216,239,260,282,115,132,150)
( 96,109,125,142,162,179,194,215,237,258,279,301,320,338)
(105,120,137,157,176,196,217,240,261,283,304,324,298,317)
(111,127,145,165,183,202,223,238,259,280,302,321,339,289)
(123,140,159,177,197,218,241,262,284,305,325,342,318,336)
(129,147,168,186,206,227,248,268,281,303,322,340,352,222)
(143,163,180,199,219,242,263,285,306,326,343,355,337,351)
(149,170,189,209,231,252,273,294,313,323,341,353,360,160)
(166,184,203,224,244,264,286,307,327,344,356,312,331,347)
(181,200,221,210,232,253,274,295,314,332,346,354,361,364)
(187,207,228,249,269,290,308,328,345,357,362,246,267,288)
(204,225,245,266,254,275,296,315,333,348,335,350,359,363)
(229,250,270,291,310,297,316,334,349,358,271,292,311,330),
( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 43, 51)( 52, 60)
( 57, 66)( 58, 68)( 61, 71)( 69, 79)( 72, 82)( 76, 87)( 77, 89)
( 78, 90)( 80, 93)( 83, 96)( 92,105)( 94,108)( 97,111)(100,115)
(102,118)(107,123)(109,126)(112,129)(119,137)(120,138)(125,143)
(127,146)(130,149)(132,151)(135,155)(140,160)(145,166)(147,169)
(157,177)(163,181)(168,187)(170,178)(174,194)(184,204)(189,210)
(197,219)(200,222)(207,229)(215,238)(225,246)(232,254)(242,264)
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105,369, 53,178)( 19,212,356,273,188,277,186,240)( 20,364,234,352,
40, 71,274,278)( 21, 90,280,243, 74,230,137,114)( 25,253,226,150,
76,113,301, 67)( 26, 94,237,354,336,231, 68,365)( 29,339,168,133,
100,201,287,320)( 32,267, 61,165,132,161, 51,196)( 34, 72,310,135,
126,190,311,263)( 36, 80, 82,142,235,315,184,199)( 38,164,346,302,
249,204,258,227)( 41,281,308,362,141,257,167, 84)( 42,203,157,338,
312,322,224, 73)( 43,214,109,359,106,102,351,247)( 45,284,181,112,
127, 99, 78,158)( 47,345,368,333,144,293,291,125)( 48,191, 54,337,
264,194,160, 93)( 50,252,305, 60,218,233,326,255)( 52,232, 63,187,
64,136,153,296)( 57,169,129,154,238, 85,149,298)( 58,139,331,163,
324,347,216, 62)( 59,219,101,244,270,344,179,289)( 69, 77,272,300,
241,335,122, 91)( 70,269,200,147,130,208,171, 95)( 75,317,134,195,
294,173,261,340)( 81,189,282,159,239,329, 86,309)( 96,148,117,217,
316,120,138,283)(104,115,202,225,268,254,286,363)(116,177,197,290)
(131,266,342,332,176,330,304,303)(162,321,193,245,327,341,183,236) ]
],
[4, Factorial(369)/2,1,"2",[[368,1]],367, "Alt(369)", ["A",369, 1], "Alt"],
[5, Factorial(369),0,"2",[[368, 1]],369, "Sym(369)", ["A",369, 1], "Sym"]];
PRIMGRP[370]:=
[[1, Factorial(370)/2,1,"2",[[369,1]],368, "Alt(370)", ["A",370, 1], "Alt"],
[2, Factorial(370),0,"2",[[369, 1]],370, "Sym(370)", ["A",370, 1], "Sym"]];
PRIMGRP[371]:=
[[1, Factorial(371)/2,1,"2",[[370,1]],369, "Alt(371)", ["A",371, 1], "Alt"],
[2, Factorial(371),0,"2",[[370, 1]],371, "Sym(371)", ["A",371, 1], "Sym"]];
PRIMGRP[372]:=
[[1, Factorial(372)/2,1,"2",[[371,1]],370, "Alt(372)", ["A",372, 1], "Alt"],
[2, Factorial(372),0,"2",[[371, 1]],372, "Sym(372)", ["A",372, 1], "Sym"]];
PRIMGRP[373]:=
[[1, Factorial(373)/2,1,"2",[[372,1]],371, "Alt(373)", ["A",373, 1], "Alt"],
[2, Factorial(373),0,"2",[[372, 1]],373, "Sym(373)", ["A",373, 1], "Sym"],
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[ 4, 746, 2, "1", [ [ 2, 186 ] ], 1, "D(2*373)", [ "Z", 373, 1 ],
[ [ [ Z(373)^186 ] ] ] ],
[ 5, 1119, 2, "1", [ [ 3, 124 ] ], 1, "373:3", [ "Z", 373, 1 ],
[ [ [ Z(373)^124 ] ] ] ],
[ 6, 1492, 2, "1", [ [ 4, 93 ] ], 1, "373:4", [ "Z", 373, 1 ],
[ [ [ Z(373)^93 ] ] ] ],
[ 7, 2238, 2, "1", [ [ 6, 62 ] ], 1, "373:6", [ "Z", 373, 1 ],
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[ 8, 4476, 2, "1", [ [ 12, 31 ] ], 1, "373:12", [ "Z", 373, 1 ],
[ [ [ Z(373)^31 ] ] ] ],
[ 9, 11563, 2, "1", [ [ 31, 12 ] ], 1, "373:31", [ "Z", 373, 1 ],
[ [ [ Z(373)^12 ] ] ] ],
[ 10, 23126, 2, "1", [ [ 62, 6 ] ], 1, "373:62", [ "Z", 373, 1 ],
[ [ [ Z(373)^6 ] ] ] ],
[ 11, 34689, 2, "1", [ [ 93, 4 ] ], 1, "373:93", [ "Z", 373, 1 ],
[ [ [ Z(373)^4 ] ] ] ],
[ 12, 46252, 2, "1", [ [ 124, 3 ] ], 1, "373:124", [ "Z", 373, 1 ],
[ [ [ Z(373)^3 ] ] ] ],
[ 13, 69378, 2, "1", [ [ 186, 2 ] ], 1, "373:186", [ "Z", 373, 1 ],
[ [ [ Z(373)^2 ] ] ] ],
[ 14, 138756, 2, "1", [ [ 372, 1 ] ], 2, "AGL(1, 373)", [ "Z", 373, 1 ],
[ [ [ Z(373) ] ] ] ]];
PRIMGRP[374]:=
[[ 1, 25947372, 1, "2", [ [ 373, 1 ] ], 2, "PSL(2, 373)",
[ "L", [ 2, 373 ], 1 ], "psl" ],
[ 2, 51894744, 0, "2", [ [ 373, 1 ] ], 3, "PGL(2, 373)",
[ "L", [ 2, 373 ], 1 ], "pgl" ],
[3, Factorial(374)/2,1,"2",[[373,1]],372, "Alt(374)", ["A",374, 1], "Alt"],
[4, Factorial(374),0,"2",[[373, 1]],374, "Sym(374)", ["A",374, 1], "Sym"]];
PRIMGRP[375]:=
[[1, Factorial(375)/2,1,"2",[[374,1]],373, "Alt(375)", ["A",375, 1], "Alt"],
[2, Factorial(375),0,"2",[[374, 1]],375, "Sym(375)", ["A",375, 1], "Sym"]];
PRIMGRP[376]:=
[[1, Factorial(376)/2,1,"2",[[375,1]],374, "Alt(376)", ["A",376, 1], "Alt"],
[2, Factorial(376),0,"2",[[375, 1]],376, "Sym(376)", ["A",376, 1], "Sym"]];
PRIMGRP[377]:=
[[1, Factorial(377)/2,1,"2",[[376,1]],375, "Alt(377)", ["A",377, 1], "Alt"],
[2, Factorial(377),0,"2",[[376, 1]],377, "Sym(377)", ["A",377, 1], "Sym"]];
PRIMGRP[378]:=
[[ 1, 9828, 1, "2", [ [ 13, 13 ], [ 26, 8 ] ], 1, "PSL(2, 3^3)",
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108,324,356,293,279,172, 4,119)( 3, 24,346, 77,318, 95,191,214,139,
241,111,321,116)( 5,253,315,175, 41,303, 48,198, 57,124,323,217,311)
( 6,325,132, 99,213,296,359, 91,336,144, 72,234, 66)( 7,145, 50, 94,
148,304,152,278,328,351,129,225,185)( 8,150,222, 35,237,216, 56, 64,
337,227,295,275,344)( 9, 45,347,215, 38,103, 19,167,266,125,138,128,
235)( 10,375, 86,280,326,238,189,320,220,252,190, 22,188)
( 11,307,251, 12,329, 92,331,120,378,141, 20,194, 47)( 13,232, 21,169,
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231,121,283,158, 60)( 15, 68,284,285,288,242,146, 76,317,330,166,137,
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( 17, 81,155, 43, 37,292,173,377,365,114, 39, 51,240)( 18,160,327,204,
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233,180, 96,261,312)( 25,249,322,230,269,282,127,143,133,115, 88,203,
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( 28,262,165, 79,340, 33,106, 61,239,221,176,362,107)( 31,256, 34,308,
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338,254,118,367,332)( 40,255,368,157,267,147,228,102,299,209,371,333,
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( 46,309, 49,126,260,104, 59,281,177,117,207,161, 98)( 58,142,196, 69,
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357, 97,159,248,364)( 73,181,205, 84,131, 80,276,352,342,247,218, 83,
168)( 75,187,101,109,277,140,354,270,193,229,250,201,271),
( 1,205,116, 63,347,273,207)( 2,107,344,179,286,315,345)
( 3,183,226,372,296, 45,255)( 4,200,240,332,266,217,214)
( 5, 75,223, 81, 46,145,331)( 6, 80, 43,288,129,377,342)
( 7, 66,155,365,325, 68,208)( 8,268, 39,360,362, 26,363)
( 9,343,192,368,263, 64,294)( 10,153,136,209,340,336,105)
( 11, 15,364,114,289,150,253)( 12,323,335, 32, 77,238, 41)
( 13, 61,218,121,305,219,160)( 14, 34, 93,113, 91,356,371)
( 16,235,134,337,100,213,178)( 17,122,187,281,180,167,224)
( 18, 89,265,143, 84,128,373)( 19,172,177,311,233, 50,101)
( 20,227, 57,127,201,170, 99)( 21,132,351,271, 37,120,369)
( 22,124,319,303, 36,237,250)( 23,349, 33, 86,270,280,299)
( 24,322, 56, 44,157,259,249)( 25,104,267,241,252,350,195)
( 27, 35,283, 48,140,141, 72)( 28,115,262, 95,257,137,304)
( 29,328,279,169,109, 98,290)( 30,158,292,282,110,295,277)
( 31,301, 97,126,220,302,147)( 38,184,103,330, 94, 53,367)
( 40,162,359,111, 90,202,230)( 42,182,316,117,278,215,149)
( 47,173,222,242,234,212,298)( 49,348,370,320,310,159,108)
( 51, 88,119,254,175,176,318)( 52,216,164,346,361, 78,190)
( 54,245,366,329,338,261,203)( 55,135,375,102,246,193,341)
( 58,210,204,229,312,334,326)( 59,189,376,206,297,139,251)
( 60,258,293,151,339,269, 73)( 62,146, 85,174, 71,275,186)
( 65, 83,287,264,196, 79, 69)( 67,197,357,291,256,260,333)
( 70,211,244,313,130,308,168)( 74,181,163,161,321, 82,300)
( 76,171,123,353,374,272,165)( 87,138,317,133,231,152,239)
( 92,314,309,243,248, 96,307)(106,188,327,144,142,354,236)
(112,355,306,324,199,154,228)(118,191,148,125,358,221,166)
(131,198,247,194,232,156,378)(185,274,284,352,285,225,276) ] ],
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[ ( 2,292)( 3,315)( 4,156)( 5, 69)( 6,253)( 7,238)( 8,273)( 9,117)
( 10, 32)( 11,103)( 12, 56)( 13, 82)( 14,200)( 15,106)( 16,118)
( 17, 77)( 18,221)( 19,368)( 20, 85)( 21,353)( 22,350)( 23,371)
( 24,141)( 25, 49)( 26,348)( 27, 47)( 28,375)( 29,291)( 30,182)
( 31, 37)( 33,214)( 34, 68)( 35,212)( 36,305)( 38,186)( 39,325)
( 40, 46)( 41,210)( 42,346)( 43, 67)( 44,328)( 45, 53)( 48,250)
( 50,294)( 51,199)( 52,192)( 54,356)( 55, 88)( 57, 87)( 58,154)
( 59,234)( 60,341)( 61,153)( 62,241)( 63,270)( 64,259)( 65,309)
( 66,227)( 70,264)( 71,302)( 72,236)( 73,127)( 74,296)( 75,157)
( 76,333)( 78,352)( 79,198)( 80,136)( 81,225)( 83,349)( 84,347)
( 89,161)( 90,334)( 91,137)( 92,269)( 93,257)( 94,338)( 95,276)
( 96,190)( 97,240)( 98,303)( 99,301)(100,163)(101,171)(102,365)
(104,220)(105,193)(107,207)(109,208)(110,299)(112,143)(113,211)
(114,177)(115,343)(116,235)(119,342)(120,152)(121,232)(122,126)
(123,373)(124,263)(125,173)(128,246)(129,262)(130,189)(131,317)
(132,204)(134,304)(135,286)(138,319)(139,260)(140,176)(142,329)
(145,306)(146,344)(147,164)(148,308)(149,175)(150,159)(151,311)
(155,243)(158,372)(160,261)(162,277)(165,202)(166,201)(167,174)
(168,374)(170,183)(172,335)(178,284)(179,249)(180,226)(181,275)
(184,297)(185,310)(187,256)(188,300)(191,237)(194,244)(195,255)
(196,345)(197,370)(203,279)(205,258)(206,274)(209,358)(213,215)
(218,233)(219,326)(222,280)(223,330)(224,307)(228,254)(229,268)
(230,369)(231,355)(239,337)(242,332)(245,360)(247,267)(251,336)
(252,377)(265,290)(266,320)(271,339)(272,313)(278,327)(281,285)
(282,321)(283,314)(287,323)(288,366)(289,293)(295,367)(298,363)
(312,362)(318,361)(322,376)(324,357)(354,378)(359,364),
( 1,179,328,258,211, 6, 4,335,315,177, 77, 88,342, 82,151, 62,233,
83, 60,113,159,303, 22,108,359,339)( 2,349,365, 70,162,180,294, 52,
94,307,257,229, 33,362, 91,300, 66, 9, 19,275, 31,194,288,156,220,
169)( 3,106,319,276, 86,261, 32,206, 64,284,124, 16,153,238,217,304,
75,269,241,232,199, 73,289,103,254,323)( 5,371, 65,109,291, 71,205,
230,150,158,290,203,354,200,131,104, 53,237, 95,228,198, 51,134,376,
85,292)( 7,117, 97, 76,325,340,360,373,299,192,160,167,296)
( 8, 74,324, 45,243, 93,282,272,135,251,378,351,164,352,263,102,345,
332,219,239,320, 98,218,140,139,330)( 10,155,183,245, 42, 39, 38,142,
61,173,202,188,343, 81,370,364, 23,178, 14,271, 84,337,115,224,353,
59)( 11,207,318,149, 25,127,355,121,110,313,357, 47,146, 29, 37,256,
161,277,265,195, 35,112,374,240,287,145)( 12,274,141,231,266,119,326,
116,295, 69,361,214,175,317, 99,185, 41, 55, 63,306,250,118, 36,350,
79,249)( 13,255,334, 78,136,128, 43,193,213,132,344, 17, 28,191,190,
280,368,312,166,184,268, 50,242,327,322,129)( 15, 92,358,305, 67,302,
120,278,234,187,123,182,363, 21,165,298,147,333, 89,125, 96, 46,372,
246, 56,336)( 18,176,172, 44,270,225,210,222,247,366,259,215, 30,111,
309,209,252,168,122,137,329, 20,143,174,348, 87)( 24,196,369,267, 48,
163,253,197, 27, 58,338,148,133,221,297,346,201,260,331,130,227,154,
212,347,341,285)( 26,375,262,273,208,170,100,138,301,244,356,314,248,
40,321,126,152,144, 72, 68,264,367,157,281,186,279)( 34,226,377,216,
235,236,204, 80,105, 90,283,310,316,286,181, 54,223,107,101,114,189,
308,311,171, 49, 57) ] ],
[ 3, 29484, 0, "2", [ [ 78, 2 ], [ 13, 1 ], [ 26, 2 ], [ 39, 4 ] ], 1,
"PSigmaL(2, 3^3)", [ "L", [ 2, 27 ], 1 ],
[ ( 1,182,330,264,120, 55,225, 86,169)( 2,194,339, 12,286, 40,105,263, 95)
( 3,123, 13,148,274, 98,244, 74,179)( 4,193,154,283,192,186,282,332,
197)( 5,230,219,132,168, 49, 72,301, 26)( 6,212,140, 66, 11,376,
305, 20,314)( 7,331,183,103,172,136, 16,237,126)( 8,256, 65,226,
76,360,297,215,373)( 9,300,111,173,118,214,374,209,278)
( 10, 81,144,170,246,370,259,241,273)( 14,171,156,293,175,145, 38, 91,
364)( 15,115,164, 22,208,369,107,327,200)( 17,253,213, 63,235, 27,
61,309,366)( 18, 58,323,101, 64,177,275,356,296)( 19,371, 37,288,
21,191,269,139,222)( 23,345,142,250,343,189,368,348, 99)
( 24,150,223, 54,271,227,128,141,242)( 25,135,134, 88,218,361,205,206,
39)( 28,279, 53, 62, 82, 43,322,251,340)( 29,162,121,187,261,272,155,
298,190)( 30,198, 77, 52, 41,312,324,161,216)( 31,180,352, 94,204,
185,294,337,231)( 32,233,378,319, 97, 92, 59,149,232)
( 33,310,243,311,178,321,159, 79,353)( 34,143,239,302, 68,112,163, 80,
341)( 35, 96, 93,372,188,133,102, 75,184)( 36,362,295,290,158,195,
127,351,334)( 42,224,266, 84,234,129,326,110,318)( 44,285, 71, 51,
221,124,349,367, 48)( 45,114,153,160,138,281,355,196,203)
( 46,289,262,207,228,152, 87,157,202)( 47,181, 70,229, 83,357,119,333,
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317,363,176)( 57,220,147,307,315,270,245,165,304)( 60,199,249,320,
347,260, 73,217,125)( 67,335,344,109,247,258,252,308,377)
( 78,284,137,359,117,255,280,211,342)( 85,287,106,328,240,122,277,306,
210)( 89,248, 90,336,316,365,104,130,113)(108,375,329,265,166,303,
167,291,238)(174,257,201,325,358,254,268,276,292),
( 1,239,335,179, 87,249, 9,232, 7)( 2, 84,360, 60,124, 31,102,221,
132)( 3,316,368,153,313, 79,295,354,315)( 4, 18, 25,117,336,333,
37,241,109)( 5, 98,140,142, 94,151,276,341, 21)( 6,320,126,256,
285,350,376,348,312)( 8, 57, 22,255,157, 27,206,209,186)
( 10, 86,170,321,137, 96,166,292,208)( 11, 73, 20,322,273,234,107, 46,
258)( 12,152,260, 50,154,224,296, 36,159)( 13,220, 34, 74,167, 75,
131,242,367)( 14,226,215,282,377,311,181,304,277)( 15,345, 85,264,
160,329,269,169,211)( 16, 51,136,106, 49,122,133,252,261)
( 17,275,369,210,373,118,185,172,212)( 19,349,123, 44,233,236,339, 83,
300)( 23,202,229,237,308,278,343, 30,143)( 24,327,101,257,207,193,
174,156,145)( 26, 66,199,243,328,372,346,187,219)( 28,119,301,245,
147,190,225,127,306)( 29,129, 48, 97,104,125,146,223,100)
( 32,139, 65,334,290, 89, 78, 82,163)( 33,351, 81,361,141,370,120,231,
364)( 35,293,182,302,248, 70,214,314,235)( 38,366,230,371,259,115,
253,265,331)( 39,272,374,197,110,149,108,286,291)( 40, 93,267,155,
271,138,356,297,250)( 41,332, 64,340,246,158,344,192,330)
( 42,116, 69,359,238,362,270,180,323)( 43,263,358,114,113,227,228,353,
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88,201,281)( 52,173,191,218,111,244,165,338,183)( 53,150,305,178,
284,205, 54,337,130)( 55,168,203, 77,128,357,325,198,342)
( 56, 80, 92,176,105, 72,299,103, 68)( 59, 90, 61,184,262,148,352,289,
319)( 62,162,326,365,217,294,363,216,298)( 63,134,251,280,161,121,
177,171,135)( 67, 99,324,112,222,310, 71,317,200)( 95,266,318,189,
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[ ( 1,155, 58,127,246,216,281, 91,218, 16,353, 89)( 2,292,154,140,369,323,
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317)( 4,202, 13,352,237,114,318, 32,266,258, 25,328)
( 5,313,278,143,344,298,275,225,330,119,238,329)( 6,286,245,212,161,
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76,293)( 8,200,146,304,134,365,241,310, 61,205, 57,193)
( 9,184,128, 37,332,333,129,151, 34,337, 85,133)( 10,264,137,220,110,
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( 14, 44, 67,334,207,174,346,284, 80,111,226,201)( 15,223,157,186, 78,
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( 22,100, 90,199,296, 86,182,376,145,232,295,345)( 23,341,153, 51,361,
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( 30,287,231,170,210, 66, 50,342, 87,240, 62,335)( 31,354,285,156,360,
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125,280)( 38,302, 82,224,255,132, 79,221,160,306,283,267)
( 39,351,136,180,276,188,336,198,282,183, 97,338)( 42,138, 98,357,359,
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206,117)( 53,239,115,228,204,195)( 60,101,256,319,150,141,375,368,
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( 75, 81,279,165,297,162,213,179,236,355,131,300)(121,152,301,142,190,
166)(122,209,262,349),
( 1,165,189,311,359,230)( 2,305, 28,258, 88, 34)( 3,292, 19,156,188,
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( 6,246,361, 42,278,212)( 7, 89,337,293,231,112)( 8,341,179,144,
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( 11,300,145, 61,197, 48)( 12, 45,355,190,220,318)( 13,185,173,249,
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[11, Factorial(378),0,"2",[[377, 1]],378, "Sym(378)", ["A",378, 1], "Sym"]];
PRIMGRP[379]:=
[[1, Factorial(379)/2,1,"2",[[378,1]],377, "Alt(379)", ["A",379, 1], "Alt"],
[2, Factorial(379),0,"2",[[378, 1]],379, "Sym(379)", ["A",379, 1], "Sym"],
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[ 5, 1137, 2, "1", [ [ 3, 126 ] ], 1, "379:3", [ "Z", 379, 1 ],
[ [ [ Z(379)^126 ] ] ] ],
[ 6, 2274, 2, "1", [ [ 6, 63 ] ], 1, "379:6", [ "Z", 379, 1 ],
[ [ [ Z(379)^63 ] ] ] ],
[ 7, 2653, 2, "1", [ [ 7, 54 ] ], 1, "379:7", [ "Z", 379, 1 ],
[ [ [ Z(379)^54 ] ] ] ],
[ 8, 3411, 2, "1", [ [ 9, 42 ] ], 1, "379:9", [ "Z", 379, 1 ],
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[ 9, 5306, 2, "1", [ [ 14, 27 ] ], 1, "379:14", [ "Z", 379, 1 ],
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[ 10, 6822, 2, "1", [ [ 18, 21 ] ], 1, "379:18", [ "Z", 379, 1 ],
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[ 11, 7959, 2, "1", [ [ 21, 18 ] ], 1, "379:21", [ "Z", 379, 1 ],
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[ 12, 10233, 2, "1", [ [ 27, 14 ] ], 1, "379:27", [ "Z", 379, 1 ],
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[ 13, 15918, 2, "1", [ [ 42, 9 ] ], 1, "379:42", [ "Z", 379, 1 ],
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(303,331)(305,312)(311,362)(313,383)(320,324)(326,359)(335,343)
(337,396)(340,345)(354,366)(355,380)(365,389)(370,372)(387,395),
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( 6,144,217)( 7,160,135)( 8,181,111)( 9, 55, 90)( 10, 35,386)
( 11,307,309)( 12,356,107)( 13,377,148)( 14, 64,384)( 15, 60,159)
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(101,257,376)(103,136,157)(104,146,374)(106,345,260)(108,142,262)
(109,118,165)(110,301,287)(114,206,229)(115,179,320)(116,143,366)
(117,344,141)(120,277,219)(122,171,172)(123,346,284)(124,265,235)
(128,194,180)(130,302,236)(131,389,347)(133,340,207)(134,249,321)
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(246,253,316)(251,269,336)(254,362,256)(274,311,308)(278,379,300)
(288,329,355)(330,353,350) ] ],
[3, Factorial(396)/2,1,"2",[[395,1]],394, "Alt(396)", ["A",396, 1], "Alt"],
[4, Factorial(396),0,"2",[[395, 1]],396, "Sym(396)", ["A",396, 1], "Sym"]];
PRIMGRP[397]:=
[[1, Factorial(397)/2,1,"2",[[396,1]],395, "Alt(397)", ["A",397, 1], "Alt"],
[2, Factorial(397),0,"2",[[396, 1]],397, "Sym(397)", ["A",397, 1], "Sym"],
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[ 5, 1191, 2, "1", [ [ 3, 132 ] ], 1, "397:3", [ "Z", 397, 1 ],
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[ 6, 1588, 2, "1", [ [ 4, 99 ] ], 1, "397:4", [ "Z", 397, 1 ],
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[ 7, 2382, 2, "1", [ [ 6, 66 ] ], 1, "397:6", [ "Z", 397, 1 ],
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[ 8, 3573, 2, "1", [ [ 9, 44 ] ], 1, "397:9", [ "Z", 397, 1 ],
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[ 9, 4367, 2, "1", [ [ 11, 36 ] ], 1, "397:11", [ "Z", 397, 1 ],
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[ 10, 4764, 2, "1", [ [ 12, 33 ] ], 1, "397:12", [ "Z", 397, 1 ],
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[ 11, 7146, 2, "1", [ [ 18, 22 ] ], 1, "397:18", [ "Z", 397, 1 ],
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[ 12, 8734, 2, "1", [ [ 22, 18 ] ], 1, "397:22", [ "Z", 397, 1 ],
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[ 13, 13101, 2, "1", [ [ 33, 12 ] ], 1, "397:33", [ "Z", 397, 1 ],
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[ 14, 14292, 2, "1", [ [ 36, 11 ] ], 1, "397:36", [ "Z", 397, 1 ],
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[ 15, 17468, 2, "1", [ [ 44, 9 ] ], 1, "397:44", [ "Z", 397, 1 ],
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[ 16, 26202, 2, "1", [ [ 66, 6 ] ], 1, "397:66", [ "Z", 397, 1 ],
[ [ [ Z(397)^6 ] ] ] ],
[ 17, 39303, 2, "1", [ [ 99, 4 ] ], 1, "397:99", [ "Z", 397, 1 ],
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[ 18, 52404, 2, "1", [ [ 132, 3 ] ], 1, "397:132", [ "Z", 397, 1 ],
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[ 19, 78606, 2, "1", [ [ 198, 2 ] ], 1, "397:198", [ "Z", 397, 1 ],
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[ 20, 157212, 2, "1", [ [ 396, 1 ] ], 2, "AGL(1, 397)", [ "Z", 397, 1 ],
[ [ [ Z(397) ] ] ] ]];
PRIMGRP[398]:=
[[ 1, 31285188, 1, "2", [ [ 397, 1 ] ], 2, "PSL(2, 397)",
[ "L", [ 2, 397 ], 1 ], "psl" ],
[ 2, 62570376, 0, "2", [ [ 397, 1 ] ], 3, "PGL(2, 397)",
[ "L", [ 2, 397 ], 1 ], "pgl" ],
[3, Factorial(398)/2,1,"2",[[397,1]],396, "Alt(398)", ["A",398, 1], "Alt"],
[4, Factorial(398),0,"2",[[397, 1]],398, "Sym(398)", ["A",398, 1], "Sym"]];
PRIMGRP[399]:=
[[1, Factorial(399)/2,1,"2",[[398,1]],397, "Alt(399)", ["A",399, 1], "Alt"],
[2, Factorial(399),0,"2",[[398, 1]],399, "Sym(399)", ["A",399, 1], "Sym"]];
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(188,232)(190,235)(191,228)(193,225)(195,240)(197,243)(198,238)
(201,247)(203,249)(206,252)(209,256)(212,259)(215,262)(217,263)
(220,253)(221,261)(223,270)(224,255)(227,273)(230,276)(233,280)
(234,282)(236,285)(237,287)(239,289)(241,268)(242,292)(244,295)
(245,296)(248,300)(250,283)(251,266)(254,303)(258,307)(260,309)
(264,312)(265,313)(267,288)(269,315)(271,294)(272,319)(274,293)
(277,322)(278,324)(279,323)(281,328)(284,331)(290,334)(297,305)
(298,337)(299,320)(304,341)(306,327)(308,344)(310,347)(311,348)
(314,335)(316,349)(318,354)(321,356)(325,358)(326,360)(330,362)
(332,352)(336,366)(338,351)(342,370)(343,361)(346,374)(350,363)
(353,357)(355,378)(364,384)(368,387)(371,377)(373,390)(375,389)
(379,381)(382,385)(383,394)(388,391)(393,397)(398,400),
( 1, 2, 3, 5, 7)( 4, 6, 9, 13, 18)( 8, 11, 15, 21, 29)
( 10, 14, 19, 26, 37)( 12, 16, 23, 32, 45)( 17, 24, 34, 48, 66)
( 20, 27, 39, 55, 75)( 22, 30, 42, 60, 82)( 25, 35, 50, 68, 96)
( 28, 40, 57, 77,110)( 31, 43, 61, 84,120)( 33, 46, 64, 89, 95)
( 36, 51, 70, 99,137)( 38, 53, 73,104,122)( 41, 58, 79,113,152)
( 44, 62, 86,123,164)( 47, 65, 91,128,133)( 49, 67, 94,132,173)
( 52, 71,101,140,179)( 54, 74,106,144,185)( 56, 76,108,147,174)
( 59, 80,115,154,198)( 63, 87, 69, 97,134)( 72,102,141,181,225)
( 78,111,150,193,238)( 81,116,156,166,213)( 83,118,159,203,250)
( 85,121,163,209,257)( 88,125,119,160,205)( 90,126,167,100,138)
( 92,129,169,215,263)( 93,130,171,217,265)( 98,135,175,103,142)
(105,143,184,228,252)(107,145,187,158,201)(109,148,190,236,286)
(112,151,195,241,291)(114,153,197,244,249)(117,157,200,246,298)
(124,165,212,260,310)(127,161,206,253,302)(131,172,219,267,314)
(136,176,220,243,294)(139,178,223,271,318)(146,188,233,281,328)
(149,191,237,288,332)(155,186,230,277,323)(162,207,254,304,211)
(168,214,261,303,340)(170,189,234,283,330)(177,221,268,300,339)
(180,224,196,242,293)(182,226,272,320,355)(183,227,274,240,290)
(192,204,251,301,322)(194,239,199,245,297)(202,248,229,275,307)
(208,255,305,342,371)(210,258,308,345,354)(216,264,295,336,331)
(218,266,222,269,316)(231,278,325,359,348)(232,279,326,334,364)
(235,284,270,317,353)(247,299,338,368,296)(256,306,343,372,389)
(259,276,321,357,379)(262,311,349,376,287)(273,309,346,285,324)
(280,327,358,312,350)(282,329,361,381,392)(289,333,363,383,395)
(292,335,365,385,356)(313,351,315,352,377)(319,341,369,388,397)
(337,367,378,347,375)(344,373,390,398,384)(360,380,370,387,396)
(362,382,393,400,394)(366,386,374,391,399) ] ],
[ 5, 2317591180800, 1, "2", [ [ 399, 1 ] ], 2, "PSL(4, 7)",
[ "L", [ 4, 7 ], 1 ],
[ ( 5,115,292,165,200,190)( 6,366,228, 37,285, 44)( 7,330,297, 41,232,183
)( 8,220,205,340, 70, 53)( 9,123, 63, 12,352,353)( 10,320,212,111,
270,134)( 11,276, 77,254,125, 91)( 13, 87,246,150,146, 17)
( 14, 94,128,257, 80,279)( 15,106,284,388,260,223)( 16,179,201,323,
336,326)( 18,329, 59,153, 27,356)( 19,189,283,243,311, 42)
( 20,396,265)( 21,169,266,315,397, 49)( 23,339,198,209,236, 98)
( 24,204, 85,110,369,296)( 25,249,327, 79, 26,393)( 28,343,301,185,
124, 71)( 29,303, 55,357, 30,273)( 31,167,364, 64, 38, 35)
( 32,335,309,227, 67, 95)( 33,281,224, 40,166,362)( 34,211,275,286,
350,385)( 36,244,207,280,325, 74)( 39,178,129, 43,391,187)
( 45, 58,151,363,157,380)( 46,346,382,342,247,159)( 47,222,360,103,
321,375)( 48,314,168)( 51,127,112, 69,240,210)( 52,136,331,345, 88,
277)( 54,289, 86,195,381,109)( 56,235,158,194,221, 60)
( 57,180,278,318,268,160)( 61,139,251,394,141,172)( 62,295,171,144,
384,225)( 65,312,104,163,258,333)( 66,334,259,164,105,313)
( 68,245,389,392,116, 82)( 72,120,174,319,370,338)( 73,214,387,114,
395,162)( 75,107,130,191,216,310)( 76,196,386,378,149,241)
( 78,202,256,371, 83,274)( 81,376,361,322,215,365)( 84,135,287,182,
126,102)( 89,367,119,379,399,302)( 90,193,154,347, 92,252)
( 93,298,117,147,148,337)( 96,208,261,188,293,377)( 97,231,305,217,
101,359)( 99,113,155,328,234,145)(100,173,192,271,263,317)
(108,250,161,294,255,152)(118,140,368,213,219,197)(121,355,373,349,
218,354)(122,358,143,176,288,233)(131,341,374,262,237,344)
(132,304,156,138,137,184)(133,203,175,351,242,299)(142,253,272,269,
307,230)(177,291,199,186,332,264)(181,383,239,306,372,290)
(206,390,226,308,324,400)(229,238,248,282,300,348),
( 1,128,252,202,216,215, 73,349,185,108, 37, 36,206,355,306,255,343,
328,143,363, 16, 15, 35,296,113,353, 41,201,200,291, 91,134,399,179,
178, 38,267,266,265,257,381,102,136, 79,317,224,223,226, 77,300,274,
147,209,362,361,167, 50, 49, 48,279,204,352,250,262, 40, 39, 64,289,
241, 83,377,376, 42,373,337,130,129,308,132, 62, 88,253,249,351, 87,
350,247,221,341,160,248, 60,225,336,335,313,312,364,347, 98,287,295,
319,303,270,101, 18, 99,231,240, 56,155, 8,275,393, 96, 95,387, 11,
180, 75, 74,400, 86,158,277,175,278,111, 23,366,365,199,184,176, 84,
320,233,118,394,213,286, 82, 81,311,170,169,168, 14,125,152,123,382,
57,359,181,159,299,203,338,301, 61, 45,389,388,177, 24,157,182,229,
245,244,283,304,142,367,392,391,264,121,344,345,149, 97, 33, 32,375,
110,140, 12,217,228,227,390,316,315,314, 4, 3, 2)( 5,164,163,243,
154, 29,135,329,127,297,238, 30,282,326,325,114,156,305,119,383, 93,
370,272,368,183,212,239,112,374,144,384,198,386,357,196,358,339,385,
269,290, 27,153,100,151,117,188,187,222,137,327,310,309,189,398,397,
396, 94,138, 52,126,210, 28,346, 7,116,115, 31,276, 46, 89,263,342,
372, 53,340,251, 10,120, 26,268,208,207,103,195, 51,191,190,214, 85,
173,161,246,261,260,334,333,324, 22, 21, 20, 80,218,302,379,234, 13,
25,145,298,356, 55,131, 44, 43,332,109,232, 63,235, 71, 34,323,322,
162, 54, 59,371,219,146,141,273,124,271,197,194,192,285,284, 47,254,
133, 9,288,174,237,242,236,172,348,330,150,307,230,380,220,171, 68,
67,259,258,186, 92,139, 78, 58,378,166,165, 66, 65,395, 90, 72,256,
205,148, 69,293,292, 19,369, 17,107,106,105,104,360,193,211,294,281,
280,321,354, 70,331,318,122, 76, 6) ] ],
[ 6, 4635182361600, 0, "2", [ [ 399, 1 ] ], 2, "PSL(4, 7).2",
[ "L", [ 4, 7 ], 1 ],
[ ( 5, 43,284, 36,227,365)( 7,319, 25,270,173, 53)( 8,330,370,249,134,192
)( 9,119,182, 78, 52,108)( 10,271,220,297,338,327)( 11,276, 77,254,
125, 91)( 12,302, 84,371,345,294)( 13,290,386, 30,225, 46)
( 14, 94,128,257, 80,279)( 15,325,335,322,200,178)( 17,372,196,357,
384,159)( 18, 34,176,278,213,374)( 19, 47,167,395,400,264)
( 20, 48,396,314,265,168)( 23,272,238,145,148,158)( 24,204, 85,110,
369,296)( 26,212,317,340,232,120)( 27,350,358, 57,140,131)
( 28,240, 61,305,203, 45)( 29,295,382,246,383,149)( 31,114,324,332,
42,375)( 32,361,165, 39,223,280)( 35,387,308,186,311,321)
( 38,214,226,199,243,103)( 41, 72, 79,320,263,205)( 51,251,101,351,
151,301)( 54,289, 86,195,381,109)( 55,144,247,146,306, 76)
( 56,236,142,348,328,117)( 58,343,210,139,217,175)( 59,275,233,268,
197,237)( 60,209,230,300,155,298)( 62,346, 87,181,378,273)
( 63,399,102,256,331,161)( 64, 73,390,291,283,360)( 65,312,104,163,
258,333)( 67, 81,115,391,388,244)( 69,172,231,133,380, 71)
( 70,183,174,393,111,100)( 74,309,215,190,129,106)( 83, 88,255,352,
89,135)( 90,193,154,347, 92,252)( 93,221,198,307,282,113)
( 95,376,292,187,260,207)( 97,299,157,124,112,141)( 98,253,229,234,
147,235)( 99,337,194,339,269,248)(118,344,153,286,122,160)
(121,355,373,349,218,354)(123,379,126,202,136,250)(127,394,359,242,
363,185)(132,304,156,138,137,184)(143,180,368,341,356,385)
(150,239,241,303,171,342)(152,353,367,287,274,277)(162,206,177,189,
222,364)(211,288,318,219,262,329),
( 1,128,252,202,216,215, 73,349,185,108, 37, 36,206,355,306,255,343,
328,143,363, 16, 15, 35,296,113,353, 41,201,200,291, 91,134,399,179,
178, 38,267,266,265,257,381,102,136, 79,317,224,223,226, 77,300,274,
147,209,362,361,167, 50, 49, 48,279,204,352,250,262, 40, 39, 64,289,
241, 83,377,376, 42,373,337,130,129,308,132, 62, 88,253,249,351, 87,
350,247,221,341,160,248, 60,225,336,335,313,312,364,347, 98,287,295,
319,303,270,101, 18, 99,231,240, 56,155, 8,275,393, 96, 95,387, 11,
180, 75, 74,400, 86,158,277,175,278,111, 23,366,365,199,184,176, 84,
320,233,118,394,213,286, 82, 81,311,170,169,168, 14,125,152,123,382,
57,359,181,159,299,203,338,301, 61, 45,389,388,177, 24,157,182,229,
245,244,283,304,142,367,392,391,264,121,344,345,149, 97, 33, 32,375,
110,140, 12,217,228,227,390,316,315,314, 4, 3, 2)( 5,164,163,243,
154, 29,135,329,127,297,238, 30,282,326,325,114,156,305,119,383, 93,
370,272,368,183,212,239,112,374,144,384,198,386,357,196,358,339,385,
269,290, 27,153,100,151,117,188,187,222,137,327,310,309,189,398,397,
396, 94,138, 52,126,210, 28,346, 7,116,115, 31,276, 46, 89,263,342,
372, 53,340,251, 10,120, 26,268,208,207,103,195, 51,191,190,214, 85,
173,161,246,261,260,334,333,324, 22, 21, 20, 80,218,302,379,234, 13,
25,145,298,356, 55,131, 44, 43,332,109,232, 63,235, 71, 34,323,322,
162, 54, 59,371,219,146,141,273,124,271,197,194,192,285,284, 47,254,
133, 9,288,174,237,242,236,172,348,330,150,307,230,380,220,171, 68,
67,259,258,186, 92,139, 78, 58,378,166,165, 66, 65,395, 90, 72,256,
205,148, 69,293,292, 19,369, 17,107,106,105,104,360,193,211,294,281,
280,321,354, 70,331,318,122, 76, 6) ] ],
[ 7, 2959506090694963842708720844800000000, 0, "4c",
[ [ 38, 1 ], [ 361, 1 ] ], 1, "Alt(20) wreath Sym(2)", [ "A", 20, 2 ],
[ ( 1, 72,316, 28, 4,132,318,288, 10,192,317,388, 7,332,305,368, 9,172,
301, 68, 16, 32,304,128, 18,292,310,188, 17,392,307,328, 5,372,309,
168)( 2,352,319, 88, 20,232,302,348, 19, 92,320,228)( 3,152,311, 48
)( 6,112,314,268, 13,212,306,108, 14,272,313,208)( 8, 12,312,308)
( 11, 52,303,148)( 15,252,315,248)( 21, 64,136, 38,284,130,198,297,
390,187,337,385,367,329,165,361, 69,176)( 22,344,139, 98,300,230,182,
357,399, 87,340,225,362,349,179, 81, 80,236)( 23,144,131, 58,283,150,
191, 57,383,147,331, 45,363,149,171, 41, 63,156, 31, 44,123,158,291,
50,183,157,391, 47,323,145,371, 49,163,141, 71, 56)( 24,124,138,298,
290,190,197,397,387,327,325,365,369,169,161, 61, 76, 36)
( 25,364,129,178,281, 70,196, 37,384,127,338,285,370,189,177,381, 67,
336)( 26,104,134,278,293,210,186,117,394,267,333,205,366,109,174,261,
73,216)( 27,324,125,378,289,170,181, 77,396)( 29,164,121, 78,296, 30,
184,137,398,287,330,185,377,389,167,321, 65,376)( 33,204,126,118,294,
270,193,217,386,107,334,265,373,209,166,101, 74,276)( 34,264,133,218,
286,110,194,277,393,207,326,105,374,269,173,201, 66,116)
( 35,244,135,258,295,250,195,257,395,247,335,245,375,249,175,241, 75,
256)( 39, 84,140,238,282,350,199, 97,400,227,322,345,379, 89,180,221,
62,356)( 40,224,122,358,299, 90,200,237,382,347,339, 85,380,229,162,
341, 79, 96)( 42,343,159, 91, 60,223,142,351, 59, 83,160,231)
( 43,143,151, 51)( 46,103,154,271, 53,203,146,111, 54,263,153,211)
( 55,243,155,251)( 82,360,239)( 86,120,234,262,353,219)
( 93,220,226,102,354,279)( 94,280,233,202,346,119)( 95,260,235,242,
355,259)( 99,100,240,222,342,359)(106,114,274,273,213,206)
(113,214,266)(115,254,275,253,215,246),
( 1, 38, 91,316, 17, 33, 87,302, 14, 26,100,308, 12, 30, 81,318, 11,
36, 97,313, 7, 22, 94,306, 20, 28, 92,310)( 2, 34, 86,320, 8, 32,
90,301, 18, 31, 96,317, 13, 27, 82,314, 6, 40, 88,312, 10, 21, 98,
311, 16, 37, 93,307)( 3, 24, 83,304)( 4, 23, 84,303)
( 5, 35, 89,305, 15, 29, 85,315, 9, 25, 95,309)( 19, 39, 99,319)
( 41, 78,231, 56, 77,233, 47, 62,234, 46, 80,228, 52, 70,221, 58, 71,
236, 57, 73,227, 42, 74,226, 60, 68,232, 50, 61,238, 51, 76,237, 53,
67,222, 54, 66,240, 48, 72,230)( 43, 64,223, 44, 63,224)
( 45, 75,229)( 49, 65,235)( 55, 69,225)( 59, 79,239)(101,298,211,136,
337,113,287,202,134,326,120,288,212,130,321,118,291,216,137,333,107,
282,214,126,340,108,292,210,121,338,111,296,217,133,327,102,294,206,
140,328,112,290,201,138,331,116,297,213,127,322,114,286,220,128,332,
110,281,218,131,336,117,293,207,122,334,106,300,208,132,330)
(103,284,203,124,323,104,283,204,123,324)(105,295,209,125,335,109,285,
215,129,325,115,289,205,135,329)(119,299,219,139,339)
(141,198,351,376,177,393,147,182,354,366,180,388,152,190,341,378,171,
396,157,193,347,362,174,386,160,188,352,370,161,398,151,196,357,373,
167,382,154,186,360,368,172,390)(142,194,346,380,168,392,150,181,358,
371,176,397,153,187,342,374,166,400,148,192,350,361,178,391,156,197,
353,367,162,394,146,200,348,372,170,381,158,191,356,377,173,387)
(143,184,343,364,163,384)(144,183,344,363,164,383)(145,195,349,365,
175,389)(149,185,355,369,165,395)(155,189,345,375,169,385)
(159,199,359,379,179,399)(241,258,251,256,257,253,247,242,254,246,260,
248,252,250)(243,244)(245,255,249)(261,278,271,276,277,273,267,262,
274,266,280,268,272,270)(263,264)(265,275,269) ] ],
[ 8, 5919012181389927685417441689600000000, 0, "4c",
[ [ 38, 1 ], [ 361, 1 ] ], 1, "Alt(20)^2.2^2", [ "A", 20, 2 ],
[ ( 1,152,102,180,253,206,358,230,388, 91, 39,324,369)( 2,172,113,220,258,
226,348, 90,399,331, 29, 4,372,101,160,242,166,353,210,398,231, 28,
84,379,321,149)( 3, 72,107,320,257,286,343, 70,387,311, 37,284,363,
61,147,302,177,293,203, 78,227,308, 97,299,323, 69, 7,312,117,300,
243, 66,347,310,397,291, 23, 64,367,301,157,282,163, 73,207,318,237,
288, 83, 79,327,309, 17,292,103, 80,247,306,357,290,383, 71, 27,304,
377,281,143, 62,167,313,217,298,223, 68, 87,319,337,289)
( 5,272,105,280,245,266,345,270,385,271, 25,264,365,261,145,262,165,
273,205,278,225,268, 85,279,325,269)( 6,352,110,400,251, 26,344,370,
381,151, 22,164,373,201,158,222,168, 93,219,338,229, 8, 92,119,340,
249)( 9, 12,112,120,260,246,346,350,390,391, 31, 24,364,361,141,142,
162,173,213,218,238,228, 88, 99,339,329)( 10,392,111, 40,244,366,341,
150,382,171, 33,204,378,221,148, 82,179,333,209, 18,232,108,100,259,
326,349)( 11, 32,104,380,241,146,342,170,393,211, 38,224,368, 81,159,
322,169, 13,212,118,240,248, 86,359,330,389)( 14, 52,115,200,256,126,
354, 50,395,191, 36,124,374, 41,155,182,176,133,214, 58,235,188, 96,
139,334, 49, 15,192,116,140,254, 46,355,190,396,131, 34, 44,375,181,
156,122,174, 53,215,198,236,128, 94, 59,335,189, 16,132,114, 60,255,
186,356,130,394, 51, 35,184,376,121,154, 42,175,193,216,138,234, 48,
95,199,336,129)( 19,332,109, 20,252,106,360,250,386,351, 30,384,371,
21,144,362,161,153,202,178,233,208, 98,239,328, 89)( 43, 75,187,316,
137,294)( 45,275,185,276,125,274)( 47,315,197,296,123, 74)
( 54, 55,195,196,136,134)( 56,135,194)( 57,295,183, 76,127,314)
( 63, 67,307,317,297,283)( 65,267,305,277,285,263)( 77,287,303),
( 1, 10,230,229, 29, 25,345,360,200,197,317,311, 51, 54, 74, 68,128,
132, 92, 98,298,284,384,381)( 2,270,226,369, 22,265,346,380,182,277,
306,371, 42,274, 66,368,122,272, 86,378,282,264,386,361)
( 3,110,233,169, 36,205,355,160,183,117,313,171, 56,214, 75,148,123,
112, 93,178,296,204,395,141)( 4,390,221, 9, 30,225,349, 40,185,357,
320,191, 57,314, 71, 48,134, 72, 88,138,292, 84,398,281)
( 5,350,240,189, 37,305,351, 60,194, 77,308,131, 52, 94, 78,288,124,
392, 81, 18,290,224,389, 21)( 6,370,222,269, 26,365,342,280,186,377,
302,271, 46,374, 62,268,126,372, 82,278,286,364,382,261)
( 7,330,239,249, 27,325,359,260,187,337,319,251, 47,334, 79,248,127,
332, 99,258,287,324,399,241)( 8,130,232, 89, 38,285,344,400,181, 17,
310,231, 49, 34, 65,348,140,192, 97,318,291, 44,394, 61)
( 11, 50,234, 69, 28,125,352,100,198,297,304,391, 41, 14, 70,228,129,
32, 85,358,300,184,397,301)( 12, 90,238,289, 24,385,341, 20,190,237,
309, 31, 45,354, 80,188,137,312, 91, 58,294, 64,388,121)
( 13,170,236,209, 35,145,343,120,193,177,316,211, 55,154, 63,108,133,
172, 96,218,295,144,383,101)( 15,150,223,109, 33,165,356,220,195,157,
303,111, 53,174, 76,208,135,152, 83,118,293,164,396,201)
( 16,210,235,149, 23,105,353,180,196,217,315,151, 43,114, 73,168,136,
212, 95,158,283,104,393,161)( 19,250,227,329, 39,245,347,340,199,257,
307,331, 59,254, 67,328,139,252, 87,338,299,244,387,321)
(102,273,166,376,202,275,146,363)(103,113,173,176,216,215,155,143)
(106,373,162,276,206,375,142,263)(107,333,179,256,207,335,159,243)
(115,153,163,116,213,175,156,203)(119,253,167,336,219,255,147,323)
(242,267,326,379)(246,367,322,279)(247,327,339,259)(262,266,366,362)
] ],
[ 9, 5919012181389927685417441689600000000, 0, "4c",
[ [ 38, 1 ], [ 361, 1 ] ], 1, "Alt(20)^2.4", [ "A", 20, 2 ],
[ ( 1, 87, 30,118,168,369,337,303,213,264,285)( 2,347, 39,398,180, 49,331,
123,212,224,286,181, 96,250,102,348,379,397,320, 53,271,125, 12,227,
26,198,176,249,322,343,219,384,300, 41, 91,130,112,228,366,197,316,
253,262,345, 19,387, 40, 58,171,129,332,223,206,184,296,241, 82,350,
119,388,380, 57,311,133,272,225, 6,187, 36,258,162,349,339,383,220,
44,291,121, 92,230,106,188,376,257,302,353,279,385, 20, 47, 31,138,
172,229,326,183,216,244,282,341, 99,390,120, 48,371,137,312,233,266,
185, 16,247, 22,358,179,389,340, 43,211,124,292,221, 86,190,116,248,
362,357,319,393,280, 45, 11,127, 32,238,166,189,336,243,202,344,299,
381,100, 50,111,128,372,237,306,193,276,245)( 3,207, 24,298,161, 89,
330,103,208,364,297,301, 93,270,105, 8,367, 37,318,173,269,325)
( 4,287, 21, 98,170,109,328,363,217,304,293,261, 85, 10,107, 28,378,
177,309,333,263,205)( 5, 7, 27, 38,178,169,329,323,203,204,284,281,
81, 90,110,108,368,377,317,313,273,265)( 9,327, 23,218,164,289,321,
83,210,104,288,361, 97,310,113,268,365, 17,307, 33,278,165)
( 13,267, 25, 18,167, 29,338,163,209,324,283,201, 84,290,101, 88,370,
117,308,373,277,305)( 14,147, 35, 78,174,149,335, 63,214,144,295, 61,
94,150,115, 68,374,157,315, 73,274,145, 15, 67, 34,158,175, 69,334,
143,215, 64,294,141, 95, 70,114,148,375, 77,314,153,275, 65)
( 42,351,139,392,240, 46,191,136,252,222,346,199,396,260)
( 51,131,132,232,226,186,196,256,242,342,359,399,400, 60)
( 52,231,126,192,236,246,182,356,259,382,360, 59,391,140)
( 54,151,135, 72,234,146,195, 76,254,142,355, 79,394,160, 55, 71,134,
152,235, 66,194,156,255, 62,354,159,395, 80)( 56,251,122,352,239,386,
200)( 74,154,155, 75),
( 1,107, 26,130, 65, 14,387, 32,230, 64,294,381,112,226,124,285)
( 2,347, 39,250, 62,354,399,252,222,344,299,241,102,346,139,245)
( 3,147, 31,190, 75, 94,388,372,237,304,289,321,103,146,131,185, 15,
87, 28,370, 77,314,389,332,223,144,291,181,115, 86,128,365, 17,307,
29,330, 63,154,391,192,235, 84,288,361,117,306,129,325)
( 4,287, 21,110, 66,134,385, 12,227, 24,290, 61,114,386,132,225)
( 5, 7, 27, 30, 70, 74,394,392,232,224,284,281,101,106,126,125)
( 6,127, 25, 10, 67, 34,390, 72,234,384,292,221,104,286,121,105)
( 8,367, 37,310, 69,334,383,152,231,184,295, 81,108,366,137,305, 9,
327, 23,150, 71,194,395, 92,228,364,297,301,109,326,123,145, 11,187,
35, 90, 68,374,397,312,229,324,283,141,111,186,135, 85)
( 13,207, 38,270, 80, 54,393,212,238,264,300, 41,113,206,138,265, 20,
47, 33,210, 78,274,400, 52,233,204,298,261,120, 46,133,205, 18,267,
40, 50, 73,214,398,272,240, 44,293,201,118,266,140, 45)
( 16,167, 36,170, 76,174,396,172,236,164,296,161,116,166,136,165)
( 19,247, 22,350, 79,254,382,352,239,244,282,341,119,246,122,345)
( 42,353,219,258,262,360, 59,253,202,358,279,260)( 43,153,211,198,275,
100, 48,373,217,318,269,340)( 49,333,203,158,271,200, 55, 93,208,378,
277,320)( 51,193,215, 98,268,380, 57,313,209,338,263,160)
( 53,213,218,278,280, 60)( 56,173,216,178,276,180)( 58,273,220)
( 82,348,379,257,302,349,339,243,142,351,199,255)( 83,148,371,197,315,
89,328,363,157,311,189,335)( 88,368,377,317,309,329,323,143,151,191,
195, 95)( 91,188,375, 97,308,369,337,303,149,331,183,155)
( 96,168,376,177,316,169,336,163,156,171,196,175)( 99,248,362,357,319,
249,322,343,159,251,182,355)(162,356,179,256)(242,342,359,259) ] ],
[ 10, 11838024362779855370834883379200000000, 0, "4c",
[ [ 38, 1 ], [ 361, 1 ] ], 1, "Sym(20) wreath Sym(2)", [ "A", 20, 2 ],
[ ( 1,212,239, 86, 62,196,324,153, 35,285,169,377,260,121,272,119,346,302,
396, 4,213,235, 85, 69,197,340,141, 32,299,166,362,256,124,273,115,
345,309,397, 20,201,232, 99, 66,182,336,144, 33,295,165,369,257,140,
261,112,359,306,382, 16,204,233, 95, 65,189,337,160, 21,292,179,366,
242,136,264,113,355,305,389, 17,220,221, 92, 79,186,322,156, 24,293,
175,365,249,137,280,101,352,319,386, 2,216,224, 93, 75,185,329,157,
40,281,172,379,246,122,276,104,353,315,385, 9,217,240, 81, 72,199,
326,142, 36,284,173,375,245,129,277,120,341,312,399, 6,202,236, 84,
73,195,325,149, 37,300,161,372,259,126,262,116,344,313,395, 5,209,
237,100, 61,192,339,146, 22,296,164,373,255,125,269,117,360,301,392,
19,206,222, 96, 64,193,335,145, 29,297,180,361,252,139,266,102,356,
304,393, 15,205,229, 97, 80,181,332,159, 26,282,176,364,253,135,265,
109,357,320,381, 12,219,226, 82, 76,184,333,155, 25,289,177,380,241,
132,279,106,342,316,384, 13,215,225, 89, 77,200,321,152, 39,286,162,
376,244,133,275,105,349,317,400)( 3,211,238, 83, 71,198,323,151, 38,
283,171,378,243,131,278,103,351,318,383, 11,218,223, 91, 78,183,331,
158, 23,291,178,363,251,138,263,111,358,303,391, 18,203,231, 98, 63,
191,338,143, 31,298,163,371,258,123,271,118,343,311,398)
( 7,210,228, 94, 67,190,328,154, 27,290,168,374,247,130,268,114,347,
310,388, 14,207,230, 88, 74,187,330,148, 34,287,170,368,254,127,270,
108,354,307,390, 8,214,227, 90, 68,194,327,150, 28,294,167,370,248,
134,267,110,348,314,387, 10,208,234, 87, 70,188,334,147, 30,288,174,
367,250,128,274,107,350,308,394)( 41, 52, 59, 46, 42, 56, 44, 53, 55,
45, 49, 57, 60)( 43, 51, 58)( 47, 50, 48, 54),
( 1,336,255,197,203,301,324,395,189, 83,313, 44,392,129, 98,233, 54,
272,131,118,226,154,268, 11,116,246,157,208)( 2, 76,259, 37,202, 61,
339, 35,182, 63,319, 24,382, 69, 99, 33, 42, 72,139, 38,222, 74,279,
31,102, 66,159, 28)( 3,316,244,397,209, 81,333, 55,192,123,318,224,
394,269, 91,113, 46,152,128, 18,236,254,277,211,101,326,155,188)
( 4,396,249, 97,213, 41,332,135,198,223,314,264,391,109, 86,153, 48,
12,136,258,237,214,261,331,115,186,143,308)( 5,356,245,357,205,341,
325,355,185,343,305,344,385,349, 85,353, 45,352,125,358,225,354,265,
351,105,346,145,348)( 6,156,248, 17,216,241,337,215,181,323,315,184,
383,309, 84,393, 49, 92,133, 58,232,134,278,231,114,266,151,108)
( 7,376,260,177,207,361,340,175,187,363,320,164,387,369,100,173, 47,
372,140,178,227,374,280,171,107,366,160,168)( 8, 16,256,257,217,201,
321,335,195,183,303,304,384,389, 89, 93, 53, 52,132,138,238,234,274,
271,111,106,146,148)( 9, 96,253, 57,212,121,338,235,194,263,311,104,
386,149, 88, 13, 56,252,137,218,221,334,275,191,103,306,144,388)
( 10,296,250,297,210,281,330,295,190,283,310,284,390,289, 90,293, 50,
292,130,298,230,294,270,291,110,286,150,288)( 14,276,251,117,206,141,
328, 15,196,243,317,204,381,329, 95,193, 43,312,124,398,229, 94,273,
51,112,126,158,228)( 19, 36,242, 77,219, 21,322, 75,199, 23,302, 64,
399, 29, 82, 73, 59, 32,122, 78,239, 34,262, 71,119, 26,142, 68)
( 20,176,247,377,220,161,327,375,200,163,307,364,400,169, 87,373, 60,
172,127,378,240,174,267,371,120,166,147,368)( 22, 62, 79, 39)
( 25,342, 65,359)( 27,362, 80,179)( 30,282, 70,299)( 40,162, 67,379)
(165,347,365,360)(167,367,380,180)(170,287,370,300)(285,350) ] ],
[ 11, 23392800, 0, "4c", [ [ 38, 1 ], [ 361, 1 ] ], 1,
"PSL(2, 19) wreath Sym(2)", [ "L", [ 2, 19 ], 2 ],
[ ( 1, 91,135,176,257)( 2,100,134,173,245)( 3, 89,124,166,248)
( 4, 86,128,163,249)( 5, 82,140,174,253)( 6, 88,123,169,244)
( 7, 99,138,172,250)( 8, 83,129,164,246)( 9, 84,126,168,243)
( 10, 87,139,178,252)( 11, 95,136,177,241)( 12, 90,127,179,258)
( 13, 85,122,180,254)( 14, 93,125,162,260)( 15, 96,137,161,251)
( 16, 97,121,171,255)( 17, 81,131,175,256)( 18, 92,130,167,259)
( 19, 98,132,170,247)( 20, 94,133,165,242)( 21,151,335,116,237)
( 22,160,334,113,225)( 23,149,324,106,228)( 24,146,328,103,229)
( 25,142,340,114,233)( 26,148,323,109,224)( 27,159,338,112,230)
( 28,143,329,104,226)( 29,144,326,108,223)( 30,147,339,118,232)
( 31,155,336,117,221)( 32,150,327,119,238)( 33,145,322,120,234)
( 34,153,325,102,240)( 35,156,337,101,231)( 36,157,321,111,235)
( 37,141,331,115,236)( 38,152,330,107,239)( 39,158,332,110,227)
( 40,154,333,105,222)( 41,291,395,316,197)( 42,300,394,313,185)
( 43,289,384,306,188)( 44,286,388,303,189)( 45,282,400,314,193)
( 46,288,383,309,184)( 47,299,398,312,190)( 48,283,389,304,186)
( 49,284,386,308,183)( 50,287,399,318,192)( 51,295,396,317,181)
( 52,290,387,319,198)( 53,285,382,320,194)( 54,293,385,302,200)
( 55,296,397,301,191)( 56,297,381,311,195)( 57,281,391,315,196)
( 58,292,390,307,199)( 59,298,392,310,187)( 60,294,393,305,182)
( 61,351,275,376,217)( 62,360,274,373,205)( 63,349,264,366,208)
( 64,346,268,363,209)( 65,342,280,374,213)( 66,348,263,369,204)
( 67,359,278,372,210)( 68,343,269,364,206)( 69,344,266,368,203)
( 70,347,279,378,212)( 71,355,276,377,201)( 72,350,267,379,218)
( 73,345,262,380,214)( 74,353,265,362,220)( 75,356,277,361,211)
( 76,357,261,371,215)( 77,341,271,375,216)( 78,352,270,367,219)
( 79,358,272,370,207)( 80,354,273,365,202),
( 1,179, 96,337,210,145,391,115,354,281,163, 16,339, 90,157,211,105,
394,295,343)( 2,199, 88, 77,218,125,386,235,344,241,180,276,329,370,
152, 31,113,314,287, 43)( 3, 19, 99, 97,217,205,385,395,355,341,161,
176,336,330,150,151,111,114,294,283)( 4,259,100,277,209,365,392, 35,
353,301,167, 56,322,190,148, 71,118,134,286,223)( 5,399, 95,357,201,
165,396,335,350,141,171,116,334,290,143, 11,119, 94,297,203)
( 6,239, 84,257,220,265,389,375,352, 21,173,316,327, 50,142,191,108,
74,298,123)( 7, 59, 82,197,208, 65,398,135,346,221,164,256,340,270,
149,371,112, 34,293,303)( 8, 79, 98,137,206,225,384,255,360,261,169,
376,332, 30,153,311,107, 54,282,183)( 9,379, 92, 37,213,305,387, 55,
342,181,168, 76,338,130,146,231,104,254,300,263)( 10,159, 91,117,214,
285,383, 15,359, 81,177,216,325,390,155,351,101,174,296,323)
( 12, 39, 93,317,207, 45,382,195,348, 61,178,136,326,230,144,251,120,
274,289,363)( 13,319, 87, 57,202,185,388, 75,358,121,166,236,324,250,
160,271,109,374,292, 23)( 14,299, 83, 17,219, 85,397,215,345,381,175,
356,321,170,156,331,110,154,291,103)( 18,139, 86,237,204,245,400,275,
349,361,172, 36,333,310,147, 51,102,194,288, 63)( 20,279, 89,377,212,
25,393,315,347, 41,162,196,328, 70,158,131,106,234,284,243)
( 22,193,308, 67, 58,122,186,228, 64,258,140,266,229,364,252, 40,273,
309,367, 52)( 24,253,320,267, 49,362,192, 28, 73,318,127, 46,222,184,
248, 80,278,129,366,232)( 26,233,304,247, 60,262,189,368, 72, 38,133,
306,227, 44,242,200,268, 69,378,132)( 27, 53,302,187, 48, 62,198,128,
66,238,124,246,240,264,249,380,272, 29,373,312)( 32, 33,313,307, 47,
42,182,188, 68, 78,138,126,226,224,244,260,280,269,369,372) ] ],
[ 12, 46785600, 0, "4c", [ [ 38, 1 ], [ 361, 1 ] ], 1, "PSL(2, 19)^2.2^2",
[ "L", [ 2, 19 ], 2 ],
[ ( 1,273, 57,167,226,148, 69,131,250, 40,284,376,119, 94,385,342,315,212,
183,338)( 2,313, 52,187,238, 8, 73, 51,247,240,288, 76,111,254,400,
282,316,112,194,398)( 3,333, 41,267,237,168, 66,151,249,140,290, 36,
104,374,399, 82,305,352,195,218)( 4,373, 59, 87,225,348, 75,211,243,
340,281,276,117,174,386,142,309,132,190, 38)( 5,353, 55,207,223,328,
61,271,257,180,286,156,109,134,390, 22,304,372,199, 98)
( 6,153, 49,127,230, 28, 64,371,259,100,285,356,115,214,383,322,301,
272,197,178)( 7,233, 48, 67,231,248, 80,291,256,120,294,396,102,314,
392,182,318, 12,193, 58)( 9,133, 50, 27,224,368, 79, 91,245,360,295,
216,103,334,381,262,317,172,186,158)( 10, 33, 44,367,239, 88, 65,351,
255,220,283,336,101,274,397,162,306,152,189,138)( 11,253, 60,287,236,
108, 74,391,242,320,292,196,118, 14,393, 42,307,232,188, 78)
( 13, 53, 47,227,228, 68, 71,251,260,300,296,116,114,394,382,302,312,
192,198, 18)( 15,213, 43,327,221,268, 77,171,246,160,289,136,110, 34,
384,362,319, 92,185,358)( 16,113, 54,387,222,308, 72,191,258, 20,293,
56,107,234,388, 62,311,252,200,298)( 17,173, 46,147,229,128, 70, 31,
244,380,299, 96,105,354,395,202,303,332,181,278)( 19, 93, 45,347,235,
208, 63,331,241,280,297,176,106,154,389,122,310, 32,184,378)
( 21,264,377,179, 86,145,349,135,210, 23,324,361,279, 97,165,346,155,
209,123,330)( 24,364,379, 99, 85,345,355,215,203,323,321,261,277,177,
166,146,149,129,130, 30)( 25,344,375,219, 83,325,341,275,217,163,326,
141,269,137,170, 26,144,369,139, 90)( 29,124,370, 39, 84,365,359, 95,
205,343,335,201,263,337,161,266,157,169,126,150)( 35,204,363,339, 81,
265,357,175,206,143,329,121,270, 37,164,366,159, 89,125,350),
( 1,135,117,222,348, 96,374,273,145,292)( 2,355,116,362,353,156,372,
13,155,112)( 3,315,118, 62,351,216,364,253,159,192)
( 4,255,119,182,343,316,378, 73,151,212)( 5,295,101,122,357,236,368,
93,154,272)( 6,175,120,322,347, 56,370,393,149, 32)( 7, 55,110,382,
349, 36,366,173,160,332)( 8, 95,114,262,345,296,361,133,157,232)
( 9, 35,106,162,360,336,367, 53,150,392)( 10,395,109, 22,346,176,380,
333,147, 52)( 11,215,104,242,359,196,363,313,158, 72)
( 12, 15,115,102,342,356,376,373,153,152)( 14,275,105,282,341,136,377,
233,148, 92)( 16,375,113,142,352)( 17,235,108, 82,354,276,365,293,
141,132)( 18, 75,111,202,344,256,379,193,143,312)( 19,195,103,302,
358, 76,371,213,144,252)( 20,335,107, 42,350,396,369, 33,146,172)
( 21,126,177,240,328, 87, 54,270,385,289)( 23,306,178, 80,331,207, 44,
250,399,189)( 24,246,179,200,323,307, 58, 70,391,209)
( 25,286,161,140,337,227, 48, 90,394,269)( 26,166,180,340,327, 47, 50,
390,389, 29)( 27, 46,170,400,329)( 28, 86,174,280,325,287, 41,130,
397,229)( 30,386,169, 40,326,167, 60,330,387, 49)( 31,206,164,260,
339,187, 43,310,398, 69)( 34,266,165,300,321,127, 57,230,388, 89)
( 37,226,168,100,334,267, 45,290,381,129)( 38, 66,171,220,324,247, 59,
190,383,309)( 39,186,163,320,338, 67, 51,210,384,249)
( 61,131,217,224,248, 99,194,263,305,298)( 63,311,218, 64,251,219,184,
243,319,198)( 65,291,201,124,257,239,188, 83,314,278)
( 68, 91,214,264,245,299,181,123,317,238)( 71,211,204,244,259,199,183,
303,318, 78)( 74,271,205,284,241,139,197,223,308, 98)
( 77,231,208, 84,254,279,185,283,301,138)( 79,191,203,304,258)
( 81,134,277,225,288)( 85,294,261,125,297,221,128, 97,234,268)
( 88, 94,274,265,285,281,121,137,237,228) ] ],
[ 13, 46785600, 0, "4c", [ [ 38, 1 ], [ 361, 1 ] ], 1, "PSL(2, 19)^2.4",
[ "L", [ 2, 19 ], 2 ],
[ ( 1,204,111,181,219, 71,187,339, 77, 47,334,377, 43,394,368,123,382,348,
140,302,352,280,305, 92,269,225, 93,249,226,173,258,286,176,158,290,
36,155, 10, 24,115)( 2,344,120,301,212,271,185, 99, 69,227,333,257,
46,174,378,283,396,148,130, 22,355, 20,304,112,261,205, 91,189,239,
73,247,326,177, 58,294,376,143,390, 28,135)( 3,384,108,121,202,351,
200,319, 72,267,325, 97, 49,234,373,243,386,168,138,282,356,160,310,
32,275, 5, 84,109,221,213,251,186,179, 78,287,336,157, 50, 34,375)
( 4,104,101,201,211,191,199, 79, 67,327,337, 57, 54,374,363,383,388,
128,122,342,360,320,312,272,265, 85, 89,229,233,253,246,166,178,298,
296,156,150, 30, 35, 15)( 6,164,118,281,216,151,190, 39, 75, 7,324,
117, 41,214,371,183,399, 68,127,322,357, 60,314,372,263,385, 88,129,
222,353,260,306,172,278,285, 96,149,230, 33,255)( 8,124,102,341,220,
311,192,279, 65, 87,329,237, 53,254,366,163,398,288,136,142,350, 40,
315, 12,264,105, 81,209,231,193,259, 66,167,338,297, 56,154,370, 23,
395)( 9,224,113,241,206,171,198,299, 76,147,330, 37, 55, 14,364,103,
381,208,131,182,359, 80,307,332,277, 45, 94,369,223,393,248,126,162,
358,300,316,152,270, 25, 95)( 11,184,119, 61,207,331,197, 59, 74,367,
323,397, 48,134,362,343,400,308,132,262,345,100,309,232,273,245, 86,
169,238,293,256,146,170, 38,295, 16,144,110, 21,215)( 13,244,106,161,
218,291,196,159, 70, 27,335, 17, 44,114,361,203,391,188,139, 62,347,
340,317, 52,274,365, 83,389,228,133,242,346,180,318,292,276,145, 90,
29,235)( 18,284,116,141,210, 31,195, 19, 64,107,321,217, 51,194,379,
63,387,328,137, 42,354,380,303,392,268,125, 82,349,240,313,252,266,
165, 98,289,236,153,250, 26,175),
( 1, 6,386,396,116,111,331,334, 74, 65,225,227,187,189, 89,100,280,
263,163,178,138,128,288,293, 33, 30,250,259,379,377,357,355,215,204,
144,141)( 2, 46,382, 56,102, 51,322, 54, 62, 45,222, 47,182, 49, 82,
60,262, 43,162, 58,122, 48,282, 53, 22, 50,242, 59,362, 57,342, 55,
202, 44,142, 41)( 3,166,398,136,108,291,333, 34, 70,245,239,367,197,
349, 95,220,264,143,161, 18,126,388,296,113, 31,330,254, 79,365,237,
347,195,209, 84,160,261)( 4,146,381, 16,106,391,336,114, 71,325,234,
67,185,229, 87,200,269, 83,180,278,123,168,298,133, 28,290,253, 39,
370,257,359,375,217,344,155,201)( 5,226,387,196,109, 91,340,274, 63,
165,238,127,188,289, 93, 40,270,243,179,378,137,348,295,213, 24,150,
241, 19,366,397,356,115,211,324,154, 61)( 7,186,389, 96,120,271,323,
174, 78,125,228,287,193, 29, 90,260,279,363,177,358,135,208,284,153,
21, 10,246,399,376,117,351,335,214, 64,145,221)( 8,286,393, 36,110,
251,339,374, 77,345,235,207,184,149, 81, 20,266,383,176,118,131,328,
294, 73, 25,230,247,199,369, 97,360,275,203,164,158,121)
( 9, 86,400,276,103,171,338,134, 68,285,233, 27,190,249, 99,380,277,
343,175,218,124,148,281, 13, 26,390,256,119,371,337,354, 75,205,224,
147,181)( 11,326,394, 76,105,231,327,194, 69, 85,240,267,183,169, 98,
140,268,283,173, 38,130,248,299,373, 37,350,255,219,364,157,341, 15,
206,384,156,101)( 12,306,392,316,112,311,332,314, 72,305,232,307,192,
309, 92,320,272,303,172,318,132,308,292,313, 32,310,252,319,372,317,
352,315,212,304,152,301)( 14, 66,385,236,107,191,329, 94, 80,265,223,
167,198,129, 88,300,273, 23,170,258,139,368,297,353, 35,210,244,159,
361, 17,346,395,216,104,151,321)( 52,302) ] ],
[ 14, 93571200, 0, "4c", [ [ 38, 1 ], [ 361, 1 ] ], 1,
"PGL(2, 19) wreath Sym(2)", [ "L", [ 2, 19 ], 2 ],
[ ( 1, 8, 13, 17, 9, 19, 15, 12, 14, 3)( 2, 6, 11, 18, 16, 5, 7, 4,
20, 10)( 21,108, 53,137,269,299, 35,112, 54,123,261,288, 33,117, 49,
139,275,292, 34,103, 41,128,273,297, 29,119, 55,132,274,283)
( 22,106, 51,138,276,285, 27,104, 60,130,262,286, 31,118, 56,125,267,
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277,289, 39,115, 52,134,263,281, 28,113, 57,129,279,295, 32,114, 43,
121,268,293, 37,109, 59,135,272,294)( 24,120, 50,122,266,291, 38,116,
45,127,264,300, 30,102, 46,131,278,296, 25,107, 44,140,270,282, 26,
111, 58,136,265,287)( 61,388,373,337,209,259, 75,392,374,323,201,248,
73,397,369,339,215,252, 74,383,361,328,213,257, 69,399,375,332,214,
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207,244, 80,390,362,326,211,258, 76,385,367,324,220,250)
( 63,381,368,333,217,249, 79,395,372,334,203,241, 68,393,377,329,219,
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206,251, 78,396,365,327,204,260, 70,382,366,331,218,256, 65,387,364,
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91,318,356,225,187,164,100,310,342,226,191,178, 96,305,347,224,200,
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199,175, 92,314,343,221,188,173, 97,309,359,235,192,174)
( 84,320,350,222,186,171, 98,316,345,227,184,180, 90,302,346,231,198,
176, 85,307,344,240,190,162, 86,311,358,236,185,167)(141,148,153,157,
149,159,155,152,154,143)(142,146,151,158,156,145,147,144,160,150),
( 1,141,155, 35, 30, 70, 78,278,280,120,104,164,167,187,186,346,345,
325,328,228,232,212,214,374,362,382,397, 57, 51,291,289, 89, 96,136,
123, 3)( 2,381,157, 55, 31,290, 69, 98,276,140,103, 4,161,147,195,
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287,189, 86,356,125,323, 8,221,152,215, 34,370, 62,398,277, 60,111,
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384,177, 47,191,286,349, 85,336,128,223, 12,201,154,375, 22,390, 77,
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158,275, 40,110, 64,178,267,200,106,344,165,327,188,226,352,205,334,
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130, 63, 18,261,160,115, 24,170, 67,198,266,360,105,324,168,227,192,
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305,333,308,233,312,213,314,373,302,393,317, 53,311,293,309, 93,316,
133,303)( 15, 21,150, 75, 38,270, 80,118,264,180,107,184,166,347,185,
326,348,225,332,208,234,372,202,394,377, 42,391,297, 49, 91,296,129,
83, 16,121,143)( 17, 41,151,295, 29, 90, 76,138,263, 20,101,144,175,
27,190, 66,358,265,340,108,224,172,207,194,366,342,385,337, 48,231,
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244,179,247,199,246,359,245,339,248,239,252,219,254,379,242,399,257,
59,251,299,249, 99,256,139,243)(253,319) ] ],
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[16, Factorial(400),0,"2",[[399, 1]],400, "Sym(400)", ["A",400, 1], "Sym"]];
PRIMGRP[401]:=
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[2, Factorial(401),0,"2",[[400, 1]],401, "Sym(401)", ["A",401, 1], "Sym"],
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[ 4, 802, 2, "1", [ [ 2, 200 ] ], 1, "D(2*401)", [ "Z", 401, 1 ],
[ [ [ Z(401)^200 ] ] ] ],
[ 5, 1604, 2, "1", [ [ 4, 100 ] ], 1, "401:4", [ "Z", 401, 1 ],
[ [ [ Z(401)^100 ] ] ] ],
[ 6, 2005, 2, "1", [ [ 5, 80 ] ], 1, "401:5", [ "Z", 401, 1 ],
[ [ [ Z(401)^80 ] ] ] ],
[ 7, 3208, 2, "1", [ [ 8, 50 ] ], 1, "401:8", [ "Z", 401, 1 ],
[ [ [ Z(401)^50 ] ] ] ],
[ 8, 4010, 2, "1", [ [ 10, 40 ] ], 1, "401:10", [ "Z", 401, 1 ],
[ [ [ Z(401)^40 ] ] ] ],
[ 9, 6416, 2, "1", [ [ 16, 25 ] ], 1, "401:16", [ "Z", 401, 1 ],
[ [ [ Z(401)^25 ] ] ] ],
[ 10, 8020, 2, "1", [ [ 20, 20 ] ], 1, "401:20", [ "Z", 401, 1 ],
[ [ [ Z(401)^20 ] ] ] ],
[ 11, 10025, 2, "1", [ [ 25, 16 ] ], 1, "401:25", [ "Z", 401, 1 ],
[ [ [ Z(401)^16 ] ] ] ],
[ 12, 16040, 2, "1", [ [ 40, 10 ] ], 1, "401:40", [ "Z", 401, 1 ],
[ [ [ Z(401)^10 ] ] ] ],
[ 13, 20050, 2, "1", [ [ 50, 8 ] ], 1, "401:50", [ "Z", 401, 1 ],
[ [ [ Z(401)^8 ] ] ] ],
[ 14, 32080, 2, "1", [ [ 80, 5 ] ], 1, "401:80", [ "Z", 401, 1 ],
[ [ [ Z(401)^5 ] ] ] ],
[ 15, 40100, 2, "1", [ [ 100, 4 ] ], 1, "401:100", [ "Z", 401, 1 ],
[ [ [ Z(401)^4 ] ] ] ],
[ 16, 80200, 2, "1", [ [ 200, 2 ] ], 1, "401:200", [ "Z", 401, 1 ],
[ [ [ Z(401)^2 ] ] ] ],
[ 17, 160400, 2, "1", [ [ 400, 1 ] ], 2, "AGL(1, 401)", [ "Z", 401, 1 ],
[ [ [ Z(401) ] ] ] ]];
PRIMGRP[402]:=
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[ 2, 64480800, 0, "2", [ [ 401, 1 ] ], 3, "PGL(2, 401)",
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[4, Factorial(402),0,"2",[[401, 1]],402, "Sym(402)", ["A",402, 1], "Sym"]];
PRIMGRP[403]:=
[[1, Factorial(403)/2,1,"2",[[402,1]],401, "Alt(403)", ["A",403, 1], "Alt"],
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PRIMGRP[404]:=
[[1, Factorial(404)/2,1,"2",[[403,1]],402, "Alt(404)", ["A",404, 1], "Alt"],
[2, Factorial(404),0,"2",[[403, 1]],404, "Sym(404)", ["A",404, 1], "Sym"]];
PRIMGRP[405]:=
[[1, Factorial(405)/2,1,"2",[[404,1]],403, "Alt(405)", ["A",405, 1], "Alt"],
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PRIMGRP[406]:=
[[ 1, 12180, 1, "2", [ [ 30, 7 ], [ 15, 13 ] ], 1, "PSL(2, 29)",
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308,338,286,100,382,167, 70,238,386,194)( 3,320,374,274,118,121,235,
51,348,335,244,371,327, 20)( 4,197,278,329, 12,400,250, 7,143,396,
301,290, 52,127)( 5,234,151, 66,107,372,154,295,138,161,134,248,330,
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( 8,336,162,389,332,232,117, 55,220, 96, 31,173,344, 89)
( 9, 84,116,347, 94, 72,224,404,180,206,370, 57,199,375)
( 10,276,401,319,139,349,230,135,313,113,294,322,236, 85)
( 11,142,279,231,148,307, 79,228,321, 15,296, 29,126,365)
( 14,156,185, 18,189, 93, 58,249, 41,323,265,174,291,283)
( 16,368,293,264,341,147,288,217,187,157, 21,209,318, 35)
( 17,364,261,152,343, 74,123,208,102, 42, 24, 63,203,191)
( 19,304,384,388,391,245,342,110,226,172,275, 99,229, 86)
( 23, 61,103,281,214, 47,140,345,280,334,130,129,168, 43)
( 26,312, 62,277,270,369,298, 54,394,303, 87,241,367, 38)
( 27,253,239,133,246,302,272,111, 75,112,314,164,346,363)
( 30,212,361,169,256,299,204,188,258,337, 68, 36,309, 67)
( 32,115,145,114, 37,215,390,177, 56,259,395, 91,311,355)
( 33, 90, 80,146,285,219, 97)( 34,149, 78,242, 88, 44,326,131,297,385,
333,252,262,225)( 39,136,339,109,381,254,210,240,183, 40,351, 53,360,
181)( 45,376,186,120,354, 83,325,218,198, 46,160,282,266,284)
( 48,393,292,105,366,331,150, 50,269,350,306, 98,200,159)
( 49,166,271,257,237,211, 95,155,243,196,176,165,233,316)
( 59,178,357,373,405,263, 65,223, 64,122,324,267,175,195)
( 60,383,399,153,106,397, 71,358,251,141, 81, 82,356,205)
( 69,170,179,171,310,398,119)( 76,128,387,101,392,202,317,305,380,359,
92,227,184,255)(104,124,158,108,379,340,144,260,163,247,222,300,190,
273), ( 1,181,394,317,162)( 2,367, 11,243,141)( 3,140,357,274, 12)
( 4, 40, 77,390, 76)( 5, 75,383, 48, 96)( 6,154,137,300,272)
( 7,271,195,292,297)( 8,401,111,307,246)( 9,245,398,127,185)
( 10,372,237, 60,244)( 13, 59,224,109,108)( 14, 52,397,396, 70)
( 15,106, 54,248,280)( 16,333,269,404,196)( 17, 72,305,202,178)
( 18, 61,250,125,376)( 19,112, 99,213,147)( 20,338,166,277,186)
( 21,267,259,361,210)( 22,220,152,388,387)( 23,393,380,119,116)
( 24,370,400,131,325)( 25,189,256,205,203)( 26, 31, 30,374, 68)
( 27,132,406,341,146)( 28,217,184,403,311)( 29,344,167,356,257)
( 32,281,102,171,235)( 33,123,295,192,327)( 34,135,364,148,212)
( 35,143, 67,208, 36)( 37,261,251,204,174)( 38,173,198,255,314)
( 39,216, 53,221, 78)( 41,335,249, 74, 42)( 43,389,153,279,151)
( 44,193,183,211,323)( 45, 79,282,113, 87)( 46, 86,278, 56,384)
( 47,322,348,358,155)( 49,355,229,336,190)( 50,382,381,284,310)
( 51,126, 84,138,379)( 55,176,308,121,239)( 57,238,236,170,231)
( 58, 95,207,286,225)( 62, 91, 92,275, 63)( 64,199,273,299,260)
( 65,283,187,219,226)( 66,373, 98,104,209)( 69,329,136,114,354)
( 71,160,130,312,306)( 73,165,163,303,304)( 80, 85,386,122,321)
( 81,101,313,377,201)( 82,351,115,319,359)( 83,316,233,363,331)
( 88,337,228,191,139)( 89,330,188,339,362)( 90,179,265,200, 93)
( 94,107,118,264,320)( 97,302,268,182,105)(100,334,332,197,395)
(103,263,365,371,158)(110,232,385,369,342)(117,328,402,164,128)
(120,366,230,375,240)(124,242,172,142,326)(129,360,270,227,218)
(133,254,368,161,291)(134,405,285,392,350)(144,159,347,345,301)
(145,266,247,215,214)(149,340,262,296,391)(150,253,352,223,349)
(156,194,318,399,157)(168,241,177,353,169)(175,276,294,180,309)
(206,290,289,258,287)(234,315,378,288,298)(252,293,324,343,346) ] ],
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98,158,231,305,375,389,397,225, 31, 57, 99,159,233,307,230,304,374,
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318,355,295,265,344,155,114,177,260,336,327,248, 91,147,218,105)
( 13, 24, 45, 82,131,198,276,353,254,331,384,283,176, 67,112,173,129,
195, 59,103,162,239,315,379,335,387, 29, 53)( 16, 30, 55, 72,117,182,
264,342,189,227, 44, 81, 65,111,132,152,222,161,237,313,378,246,223,
297,205,110,118,184)( 18, 34, 62,106,121,187, 36, 66, 87,140,210, 93,
150,166,247,325,215,186,211,273,296,274,351,345,394,234,308,157)
( 20, 37, 68,113,175,259,125,153,226,301,209,288, 52, 92,149,221,115,
178,261,338,390,323,360,123,190,271,349,381)( 23, 43, 79,127,172,214,
100,160,235,310,192,240,317,337,139,208,286,229, 40, 73,119,185,266,
258,334,359,396,306)( 25, 47, 85,136,203,280,287,361,383, 76,122,188,
269,144, 27, 49, 88, 33, 60,104,164,243,321,382,405,391,242,194)
( 54, 95, 78,126,193,250,328,380,340,281,357,303,267,130,196,275,352,
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213,137,174,257,333,386,388,219,293,367,373,403,404,406,372,402,268,
347,362,324,298,368)( 96,154,228,302,236,311,191,272,350,330,332,385,
398,141), ( 1, 3, 7)( 2, 5, 11)( 4, 9, 18)( 6, 13, 25)
( 8, 16, 31)( 10, 20, 38)( 12, 23, 44)( 14, 27, 50)( 15, 29, 54)
( 17, 33, 61)( 19, 36, 67)( 21, 40, 74)( 22, 42, 78)( 24, 46, 26)
( 28, 52, 93)( 30, 56, 98)( 32, 59, 92)( 34, 63,108)( 35, 65, 99)
( 37, 69,114)( 39, 72,118)( 41, 76,123)( 43, 80,129)( 45, 83, 47)
( 48, 87,141)( 49, 84,135)( 51, 91,148)( 53, 94,152)( 55, 96,155)
( 57,100, 71)( 58,102, 62)( 60,105,166)( 64,110,172)( 66,111, 68)
( 70,115,179)( 73, 88,142)( 75,121, 79)( 77,125,192)( 81,130,197)
( 82,132,200)( 85,137,205)( 86,139,209)( 89,144,214)( 90,146,217)
( 95,153,227)( 97,157,230)(101,161,238)(103,163,242)(104,165,246)
(106,167,248)(107,169,252)(109,171,256)(112,174,258)(113,176,233)
(116,181,156)(117,183,119)(120,186,268)(122,189,270)(124,191,273)
(126,151,225)(127,168,250)(128,194,182)(131,199,278)(133,201,134)
(136,204,283)(138,207,275)(140,211,173)(143,213,290)(145,215,175)
(147,219,261)(149,222,296)(150,223,298)(154,229,212)(158,232,196)
(159,234,309)(160,236,312)(162,240,318)(164,244,323)(170,254,332)
(177,245,324)(178,241,320)(180,188,247)(184,265,311)(185,267,346)
(187,208,287)(190,272,321)(193,237,255)(195,274,314)(198,277,297)
(202,221,295)(203,281,218)(206,251,329)(210,220,293)(216,249,327)
(224,300,364)(226,289,354)(228,303,373)(231,306,377)(235,286,360)
(239,316,331)(243,322,383)(253,330,315)(257,280,356)(259,335,388)
(260,337,384)(262,340,391)(263,269,307)(264,343,387)(266,345,294)
(271,338,375)(276,288,362)(279,355,386)(282,358,367)(284,359,397)
(285,313,334)(291,350,395)(292,366,394)(299,370,385)(301,352,378)
(302,372,328)(304,371,401)(305,376,353)(308,348,363)(310,351,382)
(317,380,357)(319,381,341)(325,333,342)(326,369,365)(336,389,379)
(339,349,347)(361,398,390)(368,392,405)(374,404,400)(393,399,402)
(396,403,406) ] ],
[ 3, 4420880996869850977271808000000, 1, "2", [ [ 54, 1 ], [ 351, 1 ] ], 1,
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[ ( 2, 3, 5, 8, 12, 17, 23, 30, 38, 47, 57, 68, 80, 93,107,122,138,155,
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56, 67, 79, 92,106,121,137,154,172,191,211,232,254,277,301,326,352,
379,406)( 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91,105,120,136,153,
171,190,210,231,253,276,300,325,351,378,405,380)( 9, 14, 20, 27, 35,
44, 54, 65, 77, 90,104,119,135,152,170,189,209,230,252,275,299,324,
350,377,404,354,381)( 13, 19, 26, 34, 43, 53, 64, 76, 89,103,118,134,
151,169,188,208,229,251,274,298,323,349,376,403,328,355,382)
( 18, 25, 33, 42, 52, 63, 75, 88,102,117,133,150,168,187,207,228,250,
273,297,322,348,375,402,303,329,356,383)( 24, 32, 41, 51, 62, 74, 87,
101,116,132,149,167,186,206,227,249,272,296,321,347,374,401,279,304,
330,357,384)( 31, 40, 50, 61, 73, 86,100,115,131,148,166,185,205,226,
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85, 99,114,130,147,165,184,204,225,247,270,294,319,345,372,399,234,
257,281,306,332,359,386)( 48, 59, 71, 84, 98,113,129,146,164,183,203,
224,246,269,293,318,344,371,398,213,235,258,282,307,333,360,387)
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181,201,222,244,267,291,316,342,369,396,174,194,215,237,260,284,309,
335,362,389)( 81, 95,110,126,143,161,180,200,221,243,266,290,315,341,
368,395,156,175,195,216,238,261,285,310,336,363,390)( 94,109,125,142,
160,179,199,220,242,265,289,314,340,367,394,139,157,176,196,217,239,
262,286,311,337,364,391)(108,124,141,159,178,198,219,241,264,288,313,
339,366,393,123,140,158,177,197,218,240,263,287,312,338,365,392),
( 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)(353,380,406) ] ],
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[ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
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22, 27, 32, 38, 44, 51, 58, 66, 74, 83, 92,102,112,123,134,146,158,
171,184,198,212,227,226)( 9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59,
67, 75, 84, 93,103,113,124,135,147,159,172,185,199,213,228,242,241,
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136,148,160,173,186,200,214,229,243,258,257,271,286)( 25, 30, 35, 41,
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230,244,259,273,272,287,301,316)( 36, 42, 48, 55, 62, 70, 78, 87, 96,
106,116,127,138,150,162,175,188,202,216,231,245,260,274,289,288,302,
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130,141,153,165,178,191,205,219,234,248,263,277,292,306,321,335,334,
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220,235,249,264,278,293,307,322,336,345,350,362,373,382,390,396,401,
404,406)(121,132,143,155,167,180,193,207,221,236,250,265,279,294,308,
323,337,351,315,330,344,358,369,379,387,394,399,403,405)
(144,156,168,181,194,208,222,237,251,266,280,295,309,324,338,352,363,
285,300,314,329,343,357,368,378,386,393,398,402)(169,182,195,209,223,
238,252,267,281,296,310,325,339,353,364,374,255,270,284,299,313,328,
342,356,367,377,385,392,397)(196,210,224,239,253,268,282,297,311,326,
340,354,365,375,383,225,240,254,269,283,298,312,327,341,355,366,376,
384,391), ( 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)(211,226)(227,241)(240,255)(242,257)(258,272)(270,285)
(273,288)(289,303)(300,315)(304,319)(320,334)(330,345)(335,350) ] ],
[5, Factorial(406)/2,1,"2",[[405,1]],404, "Alt(406)", ["A",406, 1], "Alt"],
[6, Factorial(406),0,"2",[[405, 1]],406, "Sym(406)", ["A",406, 1], "Sym"]];
PRIMGRP[407]:=
[[1, Factorial(407)/2,1,"2",[[406,1]],405, "Alt(407)", ["A",407, 1], "Alt"],
[2, Factorial(407),0,"2",[[406, 1]],407, "Sym(407)", ["A",407, 1], "Sym"]];
PRIMGRP[408]:=
[[1, Factorial(408)/2,1,"2",[[407,1]],406, "Alt(408)", ["A",408, 1], "Alt"],
[2, Factorial(408),0,"2",[[407, 1]],408, "Sym(408)", ["A",408, 1], "Sym"]];
PRIMGRP[409]:=
[[1, Factorial(409)/2,1,"2",[[408,1]],407, "Alt(409)", ["A",409, 1], "Alt"],
[2, Factorial(409),0,"2",[[408, 1]],409, "Sym(409)", ["A",409, 1], "Sym"],
[ 3, 409, 3, "1", [ [ 1, 408 ] ], 1, "C(409)", [ "Z", 409, 1 ], [ ] ],
[ 4, 818, 2, "1", [ [ 2, 204 ] ], 1, "D(2*409)", [ "Z", 409, 1 ],
[ [ [ Z(409)^204 ] ] ] ],
[ 5, 1227, 2, "1", [ [ 3, 136 ] ], 1, "409:3", [ "Z", 409, 1 ],
[ [ [ Z(409)^136 ] ] ] ],
[ 6, 1636, 2, "1", [ [ 4, 102 ] ], 1, "409:4", [ "Z", 409, 1 ],
[ [ [ Z(409)^102 ] ] ] ],
[ 7, 2454, 2, "1", [ [ 6, 68 ] ], 1, "409:6", [ "Z", 409, 1 ],
[ [ [ Z(409)^68 ] ] ] ],
[ 8, 3272, 2, "1", [ [ 8, 51 ] ], 1, "409:8", [ "Z", 409, 1 ],
[ [ [ Z(409)^51 ] ] ] ],
[ 9, 4908, 2, "1", [ [ 12, 34 ] ], 1, "409:12", [ "Z", 409, 1 ],
[ [ [ Z(409)^34 ] ] ] ],
[ 10, 6953, 2, "1", [ [ 17, 24 ] ], 1, "409:17", [ "Z", 409, 1 ],
[ [ [ Z(409)^24 ] ] ] ],
[ 11, 9816, 2, "1", [ [ 24, 17 ] ], 1, "409:24", [ "Z", 409, 1 ],
[ [ [ Z(409)^17 ] ] ] ],
[ 12, 13906, 2, "1", [ [ 34, 12 ] ], 1, "409:34", [ "Z", 409, 1 ],
[ [ [ Z(409)^12 ] ] ] ],
[ 13, 20859, 2, "1", [ [ 51, 8 ] ], 1, "409:51", [ "Z", 409, 1 ],
[ [ [ Z(409)^8 ] ] ] ],
[ 14, 27812, 2, "1", [ [ 68, 6 ] ], 1, "409:68", [ "Z", 409, 1 ],
[ [ [ Z(409)^6 ] ] ] ],
[ 15, 41718, 2, "1", [ [ 102, 4 ] ], 1, "409:102", [ "Z", 409, 1 ],
[ [ [ Z(409)^4 ] ] ] ],
[ 16, 55624, 2, "1", [ [ 136, 3 ] ], 1, "409:136", [ "Z", 409, 1 ],
[ [ [ Z(409)^3 ] ] ] ],
[ 17, 83436, 2, "1", [ [ 204, 2 ] ], 1, "409:204", [ "Z", 409, 1 ],
[ [ [ Z(409)^2 ] ] ] ],
[ 18, 166872, 2, "1", [ [ 408, 1 ] ], 2, "AGL(1, 409)", [ "Z", 409, 1 ],
[ [ [ Z(409) ] ] ] ]];
PRIMGRP[410]:=
[[ 1, 34208760, 1, "2", [ [ 409, 1 ] ], 2, "PSL(2, 409)",
[ "L", [ 2, 409 ], 1 ], "psl" ],
[ 2, 68417520, 0, "2", [ [ 409, 1 ] ], 3, "PGL(2, 409)",
[ "L", [ 2, 409 ], 1 ], "pgl" ],
[3, Factorial(410)/2,1,"2",[[409,1]],408, "Alt(410)", ["A",410, 1], "Alt"],
[4, Factorial(410),0,"2",[[409, 1]],410, "Sym(410)", ["A",410, 1], "Sym"]];
PRIMGRP[411]:=
[[1, Factorial(411)/2,1,"2",[[410,1]],409, "Alt(411)", ["A",411, 1], "Alt"],
[2, Factorial(411),0,"2",[[410, 1]],411, "Sym(411)", ["A",411, 1], "Sym"]];
PRIMGRP[412]:=
[[1, Factorial(412)/2,1,"2",[[411,1]],410, "Alt(412)", ["A",412, 1], "Alt"],
[2, Factorial(412),0,"2",[[411, 1]],412, "Sym(412)", ["A",412, 1], "Sym"]];
PRIMGRP[413]:=
[[1, Factorial(413)/2,1,"2",[[412,1]],411, "Alt(413)", ["A",413, 1], "Alt"],
[2, Factorial(413),0,"2",[[412, 1]],413, "Sym(413)", ["A",413, 1], "Sym"]];
PRIMGRP[414]:=
[[1, Factorial(414)/2,1,"2",[[413,1]],412, "Alt(414)", ["A",414, 1], "Alt"],
[2, Factorial(414),0,"2",[[413, 1]],414, "Sym(414)", ["A",414, 1], "Sym"]];
PRIMGRP[415]:=
[[1, Factorial(415)/2,1,"2",[[414,1]],413, "Alt(415)", ["A",415, 1], "Alt"],
[2, Factorial(415),0,"2",[[414, 1]],415, "Sym(415)", ["A",415, 1], "Sym"]];
PRIMGRP[416]:=
[[ 1, 62400, 1, "2", [ [ 25, 4 ], [ 15, 1 ], [ 150, 1 ], [ 75, 2 ] ], 1,
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( 11, 81)( 12,194)( 13,328)( 14,399)( 15,400)( 16, 63)( 17,376)
( 18,235)( 19,102)( 20,299)( 21, 99)( 22,366)( 23, 34)( 24,262)
( 25,115)( 27,379)( 29, 70)( 30,259)( 31,184)( 32, 60)( 33,120)
( 35, 71)( 37,159)( 38, 91)( 39, 41)( 40,153)( 42,334)( 43,137)
( 45,302)( 46,353)( 47,165)( 49, 53)( 50,117)( 51,121)( 52,360)
( 54,155)( 56,237)( 57,276)( 58,250)( 59,241)( 61,325)( 62,304)
( 64,319)( 65, 74)( 66,307)( 68,369)( 69,133)( 72,322)( 73,183)
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( 83,289)( 84,362)( 85,190)( 86,228)( 88,134)( 89,182)( 90,198)
( 94,101)( 95,329)( 96,354)( 97,260)( 98,335)(100,288)(104,278)
(105,136)(106,264)(107,189)(108,240)(109,367)(110,398)(111,351)
(112,269)(113,357)(114,281)(116,375)(118,309)(119,383)(122,386)
(123,270)(124,244)(126,181)(127,179)(128,233)(129,292)(131,327)
(135,390)(138,152)(140,245)(141,316)(142,253)(143,296)(144,201)
(145,258)(146,352)(147,202)(149,282)(150,212)(151,203)(157,397)
(158,268)(160,391)(161,191)(162,387)(163,255)(167,225)(168,205)
(170,332)(171,361)(173,218)(174,405)(175,389)(176,333)(177,243)
(178,306)(180,300)(185,222)(186,410)(187,331)(188,275)(192,313)
(193,199)(195,359)(196,284)(197,370)(200,401)(204,381)(206,305)
(207,321)(208,368)(210,336)(214,374)(215,392)(216,271)(217,373)
(220,242)(221,404)(227,395)(229,283)(231,290)(232,274)(234,280)
(236,308)(238,385)(239,287)(246,346)(247,341)(248,372)(249,407)
(251,413)(252,415)(256,298)(257,363)(261,326)(263,279)(265,315)
(266,388)(267,303)(272,343)(277,394)(291,347)(293,402)(294,416)
(295,350)(297,371)(301,330)(310,312)(311,318)(317,339)(323,384)
(324,337)(340,406)(344,345)(348,382)(356,364)(358,396)(378,393)
(380,408)(403,412), ( 1,122,354, 10)( 2,341,221,167)( 3,168,238,135
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( 9,233, 77,294)( 11, 73, 93,214)( 12,370,196, 48)( 13, 88,150,380)
( 14,285,243,290)( 15,164,254,124)( 16, 92,321,157)( 17,331, 19, 84)
( 18,366,318,315)( 20,102,180,268)( 21,264,125,230)( 22, 46,415,413)
( 23, 96,317,151)( 24,399,179,408)( 25,252,149,325)( 26,219,163,374)
( 27,402,390,188)( 28,247, 94,320)( 29, 97,118, 34)( 30, 61,334,123)
( 31,235,353,248)( 32, 62,336,289)( 33,291,274,392)( 35,298,112, 54)
( 36,314,360,108)( 37,287, 98,316)( 38,174,141,271)( 39,326,308,143)
( 41, 66,211,127)( 42,272,172,204)( 43,241)( 44, 67,166,128)
( 45,256,414,239)( 47,376,400,381)( 49,146,310,202)( 50,369,101,103)
( 51,330,226, 81)( 52,158,277,343)( 53,203,346,232)( 55,364,281, 89)
( 56, 65,258,347)( 57,178,299,300)( 58,267,181,386)( 59,283,240,242)
( 60,208,282,340)( 63,378,372,160)( 64,352,373,365)( 68, 74,262,350)
( 69,358,260,197)( 70,161,169, 95)( 71,382)( 72,403)( 75,279,126,284)
( 76, 79,286,220)( 78,411,339, 86)( 80,198)( 82,184,307,356)
( 83,121,385,322)( 85,323,280,136)( 87,216,278,363)( 90,209,154,162)
( 91,387,155,304)( 99,227,338,173)(100,295,297,129)(104,187,362,388)
(105,263,206,249)(106,177,144,410)(107,223,139,142)(109,309)(110,355)
(111,384,306,296)(113,396)(114,407,176,361)(115,345,153,193)
(116,222,191,253)(117,200)(119,292,273,215)(120,349,156,133)
(130,231,195,367)(131,148,342,328)(132,138,293,313)(134,234,186,379)
(137,205,332,190)(147,416)(152,327,405,217)(165,199)(170,255,377,175)
(182,207,251,311)(183,329,250,406)(185,357,383,302)(189,324,401,391)
(192,244,257,412)(201,333)(212,351,229,276)(218,224,409,269)
(225,288,359,246)(228,245,398,319)(236,394)(237,404)(259,303)
(261,270,305,265)(275,395)(301,389)(312,337,371,335)(348,368,397,375)
] ],
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[ ( 1, 91)( 2,223)( 3,211)( 4, 6)( 5,272)( 7,376)( 8,386)( 9, 19)
( 10,119)( 12,278)( 13,194)( 14, 31)( 16,141)( 17, 39)( 18, 74)
( 20,375)( 21,261)( 22, 51)( 23,259)( 25, 37)( 26,302)( 27, 62)
( 28,175)( 30,349)( 32,415)( 33, 95)( 34, 78)( 35,382)( 36,397)
( 38,319)( 40,395)( 41,320)( 42, 97)( 43,252)( 44,102)( 46,229)
( 47,106)( 49,399)( 50,113)( 52, 76)( 53,184)( 54, 89)( 55,400)
( 56,301)( 57,131)( 58,207)( 60,137)( 61,125)( 63,406)( 64,156)
( 65,148)( 66,170)( 67,225)( 68,153)( 69,334)( 70,132)( 71,370)
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( 82,121)( 83,142)( 84,257)( 85,273)( 86,115)( 87,186)( 88,318)
( 92,198)( 93,241)( 94,164)( 96,126)( 98,338)( 99,149)(100,331)
(103,366)(104,328)(107,237)(108,231)(110,206)(111,216)(114,293)
(116,243)(117,352)(118,165)(120,152)(122,280)(123,305)(124,255)
(127,335)(128,253)(130,234)(133,260)(134,196)(135,268)(136,409)
(138,329)(140,250)(143,332)(144,281)(145,314)(146,357)(147,244)
(150,276)(151,295)(154,396)(155,249)(158,416)(159,228)(160,323)
(161,283)(162,303)(163,202)(166,168)(169,176)(171,351)(172,339)
(173,315)(174,251)(177,299)(178,256)(180,214)(181,279)(182,407)
(183,266)(185,199)(187,287)(189,330)(190,236)(191,353)(192,297)
(193,195)(197,348)(200,240)(201,402)(203,408)(204,387)(208,388)
(212,327)(213,367)(215,298)(217,413)(218,378)(219,356)(220,312)
(221,385)(222,359)(224,277)(226,336)(227,369)(232,310)(233,289)
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(262,411)(263,354)(264,309)(265,393)(267,381)(269,286)(270,398)
(271,361)(282,326)(284,311)(290,401)(291,363)(292,364)(294,390)
(296,307)(304,344)(306,392)(313,372)(316,340)(322,384)(337,377)
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90,340,413,112)( 8,125, 46,229,230,134,106,406)( 9,345,398,211,
313, 93,333, 34)( 11,238,385,131,297,201,157,142)( 12,309,237,150,
244,220,260, 44)( 13, 25,355, 51,361,354,116,183)( 14, 83,303,176,
353, 29,135,158)( 15,350,196,251,322,233,193,302)( 16,144, 91,155,
127,397,293, 43)( 18,243,120, 32,390,259,178,342)( 19,124,371,100,
287,136,203,412)( 20,366,145,288, 60, 30, 47, 69)( 21,320,151,280,
241, 58, 81,290)( 22,236,401,114,177, 40, 89,283)( 23,254,298,181)
( 24,346, 96,165,332,314,122,140)( 26,216,400,128,168,224, 77,225)
( 27,261,294,248,321,147,352,381)( 28, 99, 33, 56,108,343,149, 74)
( 31,296,285,148)( 35,107,110,115,362,152,268,386)( 38,171,213,162,
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188,273,324,234)( 45, 80,414,197,173,363,256,164)( 48,317,262, 59,
228,191,408,272)( 49, 82,210,359,153,275,190,113)( 50,344,130, 57)
( 52, 97,286,264,185, 65,143,399)( 53, 92,374,391,308,410, 63,189)
( 61,159,311,348,257,265,402,356)( 62,370,375,205)( 64,132,163, 86)
( 66, 68,377, 87,141,154,117,192)( 67,240,186,226)( 70,161,187,111,
98,263,231,326)( 71,278,274,284,270,379,169,347)( 73,253,405,104,
277,101,239,207)( 76,292,146,387,180,330,407,200)( 84,376,315,357,
123,310,156,206)( 85,415,367,380,404,118,360,170)( 88,393,269,395)
( 94,289,139,384,327,335,227,307)( 95,271,232,246)(102,208,166,337,
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394,138,319,349)(167,204,242,300,295,389,252,369)(179,416,338,184,
214,249,325,409)(199,267,282,382,291,235,306,247)(221,392,323,341,
336,368,316,364) ] ],
[ 3, 249600, 0, "2", [ [ 100, 1 ], [ 15, 1 ], [ 150, 2 ] ], 1,
"PGammaU(3, 4)", [ "2A", [ 2, 4 ], 1 ],
[ ( 1, 2)( 3, 7)( 5, 12)( 6, 15)( 8, 20)( 10, 25)( 13, 32)( 14, 35)
( 16, 40)( 17, 43)( 18, 45)( 19, 48)( 21, 31)( 22, 37)( 23, 55)
( 24, 58)( 26, 63)( 27, 66)( 28, 56)( 29, 71)( 30, 73)( 33, 79)
( 34, 81)( 36, 85)( 38, 90)( 39, 93)( 41, 64)( 44,103)( 46,107)
( 47,109)( 49,114)( 50, 72)( 51,119)( 52,122)( 53,125)( 54,127)
( 57,133)( 60,140)( 61,142)( 62,145)( 65,150)( 67,154)( 68,157)
( 69,160)( 70,149)( 75,168)( 76,171)( 77,174)( 78,162)( 80,139)
( 82,130)( 83,184)( 84,163)( 86,187)( 87,190)( 88,185)( 89,195)
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(100,215)(101,217)(102,220)(104,224)(105,227)(108,232)(110,235)
(111,236)(112,221)(113,181)(115,244)(116,246)(118,251)(121,213)
(123,256)(126,258)(128,263)(129,264)(131,267)(132,152)(134,230)
(135,272)(136,273)(137,275)(138,277)(141,219)(143,282)(144,167)
(146,286)(147,287)(148,289)(151,248)(155,172)(156,299)(159,301)
(161,291)(164,306)(165,308)(166,309)(169,313)(170,314)(173,304)
(175,228)(176,238)(177,320)(178,321)(180,310)(183,326)(186,216)
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(280,351)(283,393)(285,303)(288,396)(293,307)(294,375)(296,399)
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(318,404)(322,406)(325,407)(328,329)(331,410)(333,411)(336,373)
(339,346)(348,408)(349,358)(350,400)(354,401)(356,395)(359,365)
(360,368)(362,376)(364,405)(371,398)(377,415)(386,390)(387,392)
(397,409)(412,416), ( 1, 3, 8, 21)( 2, 5, 13, 33)( 4, 10, 26, 64
)( 6, 16, 41, 98)( 7, 18, 46, 20)( 9, 23, 56, 65)( 11, 28, 69,161)
( 12, 30, 34, 82)( 14, 36, 86,188)( 15, 38, 91,199)( 17, 43, 35, 84)
( 19, 49,115, 63)( 22, 53,126,260)( 24, 59,138,278)( 25, 61,143, 85)
( 27, 67,155,297)( 29, 72)( 31, 75,169,103)( 32, 77,175,194)
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103, 49)( 34,279,157,204,125,380,347,359)( 35,167,196, 65,404,276,
129,112)( 38,235, 81,217,316,140,286,199)( 41,289,109,206,154,406,
310,247)( 43,351,152, 70,394,402,135,362)( 45,105,253,138,270,115,
80,303)( 46,378, 82,177,386,369, 94,397)( 47, 93,393,365,280,367,
419,400)( 51, 84, 54,261,325,301,342,207)( 53, 86,172,197,209,220,
241,230)( 55,127, 60,308,158,119,106,156)( 56,366,149,223,295,233,
155,133)( 58,200,277,332,128, 76,250,293)( 62,202,249,300,281,130,
64,107)( 69,169,387,193,312,123,114,180)( 71,323,148,175, 77,245,
414,339)( 79,224, 88,331,257,413,117,195)( 83,263,382,136,395,222,
212,349)( 87,306,416,173,134,311,190,287)( 92,132,324,318,346,126,
425,412)( 95,258,421,317,329,141,162,210)( 97,305,343,227,139,313,
143,390)(100,265,356,407,420,151,244,357)(108,285,113,353)
(121,371,350,363,231,290,328,189)(145,205,384,168,417,309,330,228)
(146,234,284,170,268,361,163,408)(153,198,254,389,368,409,297,171)
(165,375,319,255,282,315,248,242)(178,232,354,274,388,370,298,266)
(184,373,377,321,423,192,415,275)(203,385),
( 1,392,421,177, 18,293,240, 86, 79, 34,154,264,287,353, 63,117)
( 2,299, 12,399,349,184,344, 48,274,134,317, 5,321,292,258, 15)
( 3,206,289, 51,152,313,249,382,205,404,231,168,276,250,390,281)
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( 6, 74,194,248, 50,366, 44,138,397, 77,413,391,114,155,162,406)
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( 13,203,110,259,222,129, 90,257, 43, 30,325, 88,247,139, 70, 65)
( 14,314,233,411,105,132,333,209, 27,370, 25,389,394, 87,122, 92)
( 16,190,328,174,312,424,356, 58,306,254,100,158,186,403,141,271)
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( 21,207, 85,367,193, 23,410,166,245,120,417,116,118,318,291,362)
( 22,130, 96,337,343,273,307,164,359,224,107, 75,239, 68,346,220)
( 24, 36, 93,198, 81,200,326,169,323,384,374,275,282,263, 84,201)
( 29,167,345,270,108,165,360,425,109,235,350,195,372,277,381,409)
( 31,124,268,361,142,196,407,288,280,369,188,396,408,197, 83, 33)
( 35,178, 38,385,101,211,242,351,160,352,310,422,295,339,175, 73)
( 39,316, 99,212, 55,127,232,379,338,185, 72,229,216, 78,153,187)
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( 41,301,202,373,285,354,208,189,112,171,334,330,290,269,378,227)
( 47,255,423,419,331,115, 98,236,213,341,368,161,335, 62,383,253)
( 49,113, 82,303,319,340,214,320,347,150,418,294,180, 53,283,324)
( 52,103,252,297, 97,147, 66,365,156,305, 59,336,308,126,111,159)
( 67,302,357,387,192,137,398, 89) ] ],
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[3, Factorial(425),0,"2",[[424, 1]],425, "Sym(425)", ["A",425, 1], "Sym"]];
PRIMGRP[426]:=
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PRIMGRP[427]:=
[[1, Factorial(427)/2,1,"2",[[426,1]],425, "Alt(427)", ["A",427, 1], "Alt"],
[2, Factorial(427),0,"2",[[426, 1]],427, "Sym(427)", ["A",427, 1], "Sym"]];
PRIMGRP[428]:=
[[1, Factorial(428)/2,1,"2",[[427,1]],426, "Alt(428)", ["A",428, 1], "Alt"],
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PRIMGRP[429]:=
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PRIMGRP[430]:=
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PRIMGRP[431]:=
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162,180,200,220,242,264,288,312,338,364,392,419,434,370,397,423)
( 28, 37, 47, 57, 69, 81, 95,109,125,141,159,177,197,217,239,261,285,
309,335,361,389,416,268,293,319,345,373,400)( 30, 38, 48, 58, 70, 82,
96,110,126,142,160,178,198,218,240,262,286,310,336,362,390,417,433,
318,344,372,399,424)( 44, 55, 67, 79, 93,107,123,139,157,175,195,215,
237,259,283,307,333,359,387,414,224,247,271,295,321,347,375,402)
( 46, 56, 68, 80, 94,108,124,140,158,176,196,216,238,260,284,308,334,
360,388,415,432,270,294,320,346,374,401,425)( 64, 77, 91,105,121,137,
155,173,193,213,235,257,281,305,331,357,385,412,184,205,227,249,273,
297,323,349,377,404)( 66, 78, 92,106,122,138,156,174,194,214,236,258,
282,306,332,358,386,413,431,226,248,272,296,322,348,376,403,426)
( 88,103,119,135,153,171,191,211,233,255,279,303,329,355,383,410,148,
167,187,207,229,251,275,299,325,351,379,406)( 90,104,120,136,154,172,
192,212,234,256,280,304,330,356,384,411,430,186,206,228,250,274,298,
324,350,378,405,427)(116,133,151,169,189,209,231,253,277,301,327,353,
381,408)(118,134,152,170,190,210,232,254,278,302,328,354,382,409,429,
150,168,188,208,230,252,276,300,326,352,380,407,428),
( 1, 2, 4)( 3, 6, 10)( 5, 8, 9)( 7, 12, 18)( 11, 16, 17)
( 15, 22, 30)( 21, 28, 29)( 27, 36, 46)( 35, 44, 45)( 43, 54, 66)
( 53, 64, 65)( 63, 76, 90)( 75, 88, 89)( 87,102,118)(101,116,117)
(115,132,150)(131,148,149)(147,166,186)(165,184,185)(183,204,226)
(203,224,225)(223,246,270)(245,268,269)(267,292,318)(291,316,317)
(315,342,370)(341,368,369)(367,395,422) ] ],
[ 4, 265252859812191058636308480000000, 0, "2", [ [ 56, 1 ], [ 378, 1 ] ], 1,
"Sym(30)", [ "A", 30, 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)( 4, 6, 8, 11, 14,
18, 22, 27, 32, 38, 44, 51, 58, 66, 74, 83, 92,102,112,123,134,146,
158,171,184,198,212,227,242,241)( 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,
243,258,257,272)( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 76, 85, 94,
104,114,125,136,148,160,173,186,200,214,229,244,259,274,273,288,303)
( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,115,126,137,149,161,
174,187,201,215,230,245,260,275,290,289,304,319,334)( 36, 42, 48, 55,
62, 70, 78, 87, 96,106,116,127,138,150,162,175,188,202,216,231,246,
261,276,291,306,305,320,335,350,365)( 49, 56, 63, 71, 79, 88, 97,107,
117,128,139,151,163,176,189,203,217,232,247,262,277,292,307,322,321,
336,351,366,380,392)( 64, 72, 80, 89, 98,108,118,129,140,152,164,177,
190,204,218,233,248,263,278,293,308,323,338,337,352,367,381,393,403,
412)( 81, 90, 99,109,119,130,141,153,165,178,191,205,219,234,249,264,
279,294,309,324,339,354,353,368,382,394,404,413,420,426)
(100,110,120,131,142,154,166,179,192,206,220,235,250,265,280,295,310,
325,340,355,370,369,383,395,405,414,421,427,431,434)(121,132,143,155,
167,180,193,207,221,236,251,266,281,296,311,326,341,356,371,349,364,
379,391,402,411,419,425,430,433,435)(144,156,168,181,194,208,222,237,
252,267,282,297,312,327,342,357,372,384,318,333,348,363,378,390,401,
410,418,424,429,432)(169,182,195,209,223,238,253,268,283,298,313,328,
343,358,373,385,396,287,302,317,332,347,362,377,389,400,409,417,423,
428)(196,210,224,239,254,269,284,299,314,329,344,359,374,386,397,406,
256,271,286,301,316,331,346,361,376,388,399,408,416,422)
(225,240,255,270,285,300,315,330,345,360,375,387,398,407,415),
( 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)(226,241)
(240,256)(242,257)(258,273)(271,287)(274,289)(290,305)(302,318)
(306,321)(322,337)(333,349)(338,353)(354,369)(364,370) ] ],
[5, Factorial(435)/2,1,"2",[[434,1]],433, "Alt(435)", ["A",435, 1], "Alt"],
[6, Factorial(435),0,"2",[[434, 1]],435, "Sym(435)", ["A",435, 1], "Sym"]];
PRIMGRP[436]:=
[[1, Factorial(436)/2,1,"2",[[435,1]],434, "Alt(436)", ["A",436, 1], "Alt"],
[2, Factorial(436),0,"2",[[435, 1]],436, "Sym(436)", ["A",436, 1], "Sym"]];
PRIMGRP[437]:=
[[1, Factorial(437)/2,1,"2",[[436,1]],435, "Alt(437)", ["A",437, 1], "Alt"],
[2, Factorial(437),0,"2",[[436, 1]],437, "Sym(437)", ["A",437, 1], "Sym"]];
PRIMGRP[438]:=
[[1, Factorial(438)/2,1,"2",[[437,1]],436, "Alt(438)", ["A",438, 1], "Alt"],
[2, Factorial(438),0,"2",[[437, 1]],438, "Sym(438)", ["A",438, 1], "Sym"]];
PRIMGRP[439]:=
[[1, Factorial(439)/2,1,"2",[[438,1]],437, "Alt(439)", ["A",439, 1], "Alt"],
[2, Factorial(439),0,"2",[[438, 1]],439, "Sym(439)", ["A",439, 1], "Sym"],
[ 3, 439, 3, "1", [ [ 1, 438 ] ], 1, "C(439)", [ "Z", 439, 1 ], [ ] ],
[ 4, 878, 2, "1", [ [ 2, 219 ] ], 1, "D(2*439)", [ "Z", 439, 1 ],
[ [ [ Z(439)^219 ] ] ] ],
[ 5, 1317, 2, "1", [ [ 3, 146 ] ], 1, "439:3", [ "Z", 439, 1 ],
[ [ [ Z(439)^146 ] ] ] ],
[ 6, 2634, 2, "1", [ [ 6, 73 ] ], 1, "439:6", [ "Z", 439, 1 ],
[ [ [ Z(439)^73 ] ] ] ],
[ 7, 32047, 2, "1", [ [ 73, 6 ] ], 1, "439:73", [ "Z", 439, 1 ],
[ [ [ Z(439)^6 ] ] ] ],
[ 8, 64094, 2, "1", [ [ 146, 3 ] ], 1, "439:146", [ "Z", 439, 1 ],
[ [ [ Z(439)^3 ] ] ] ],
[ 9, 96141, 2, "1", [ [ 219, 2 ] ], 1, "439:219", [ "Z", 439, 1 ],
[ [ [ Z(439)^2 ] ] ] ],
[ 10, 192282, 2, "1", [ [ 438, 1 ] ], 2, "AGL(1, 439)", [ "Z", 439, 1 ],
[ [ [ Z(439) ] ] ] ]];
PRIMGRP[440]:=
[[ 1, 42302040, 1, "2", [ [ 439, 1 ] ], 2, "PSL(2, 439)",
[ "L", [ 2, 439 ], 1 ], "psl" ],
[ 2, 84604080, 0, "2", [ [ 439, 1 ] ], 3, "PGL(2, 439)",
[ "L", [ 2, 439 ], 1 ], "pgl" ],
[3, Factorial(440)/2,1,"2",[[439,1]],438, "Alt(440)", ["A",440, 1], "Alt"],
[4, Factorial(440),0,"2",[[439, 1]],440, "Sym(440)", ["A",440, 1], "Sym"]];
PRIMGRP[441]:=
[[ 1, 12700800, 0, "4c", [ [ 100, 2 ], [ 200, 1 ], [ 20, 2 ] ], 1,
"Alt(7) wreath Sym(2)", [ "A", 7, 2 ],
[ ( 1,181,126,340,387,213,197,425,305,133,159, 83,325,248)( 2,265,124,403,
394, 45,204,278,300,364,161, 41,333,101)( 3,202,110,298,385,150,209,
320,311, 7,160,125,319,395)( 4,391,108,193,383,297,196,152,314,322,
164, 20,328,122)( 5,307,112,151,398,318,206)( 6,370,119, 25,396,
87,191,257,313,406,163, 62,330,290)( 8,433,116,130,390, 66,199,236,
295,175,168,356,324,227)( 9,223,113,424,389,129,201, 68,304,238,148,
188,336,353)( 10,244,106,172,399,339,198,215,302,427,158,146,327, 80)
( 11,139,117, 67,388,234,190,173,315,343,156,230,323,437)
( 12, 76,115,235,379,171,210,341,303,217,155,440,326,143)
( 13,118,109,382,381,192,194,299,301,154,167,335,332, 17)
( 14, 34,123, 88,380,255,208,404,310, 49,162,293,321,374)
( 15,286,111,361,392, 24,207, 89,296,259,166,419,331, 59)
( 16, 55,120,277,384,360,203, 26,312, 91,149,272,334,416)
( 18, 97,107,256,397,402,205, 47,309,280,153,377,329, 38)
( 19,412,121, 46,393,276,195,362,308, 28,165,104,317,269)
( 21,349,114,214,386,423,200,131,306, 70,157,251,316,185)
( 22,186,105,338,261,229,407,436, 53,141,285, 69,367,245)
( 23,270,103,401,268, 61,414,289, 48,372,287, 27,375, 98)
( 29,438, 95,128,264, 82,409,247, 43,183,294,342,366,224)
( 30,228, 92,422,263,145,411, 79, 52,246,274,174,378,350)
( 31,249, 85,170,273,355,408,226, 50,435,284,132,369, 77)
( 32,144, 96, 65,262,250,400,184, 63,351,282,216,365,434)
( 33, 81, 94,233,253,187,420,352, 51,225,281,426,368,140)
( 35, 39,102, 86,254,271,418,415, 58, 57,288,279,363,371)
( 36,291, 90,359,266, 40,417,100, 44,267,292,405,373, 56)
( 37, 60, 99,275,258,376,413)( 42,354, 93,212,260,439,410,142, 54, 78,
283,237,358,182)( 64,178,252,337,177,231,344,429,221,134,432, 74,136,
243)( 71,430,242,127,180, 84,346,240,211,176,441,347,135,222)
( 72,220,239,421,179,147,348)( 73,241,232,169,189,357,345,219,218,428,
431,137,138, 75), ( 1,228,413,268,200, 26,424,129,159,380,103, 80,
183,241)( 2,102,416,184,199, 5,438,402,163,191, 89,437,171,157)
( 3,165,401,100,206,173,430)( 4,144,411,394,208, 68,435,234,148,212,
98,269,179, 31)( 6, 60,420,331,209,110,433,360,154,338, 93,311,176,
283)( 7,354,408,310,197,278,426, 45,168,317,104,122,181,367)
( 8,291,405, 58,210,320,440,108,160,359, 91,353,177,304)
( 9,312,407,289,195, 47,441,318,167,107, 97,374,175,346)
( 10, 18,417,415,205,194,425,423,150,149, 86,101,185,178)
( 11, 39,403,142,201,383,439, 66,162,233, 85,227,182,262)
( 12,396,418, 79,204,236,421,213,161,254, 95, 38,172,136)
( 13,375,406,352,198,299,428,276,153, 44,105,332,188,115)
( 14,270,410, 37,193,131,432,381,166, 65, 99,248,169,220)
( 15,249,400,226,203,257,431, 24,151,128, 96,395,187, 73)
( 16,207,404,436,192,152,422, 87,164,170, 94, 17,186,409)
( 19, 81,414,247,190,215,434,255,158, 23, 88,143,180,388)
( 20,123,412,373,196,341,429,297,155,275, 90, 59,189,325)
( 21,333,419,121,202,362,427,339,156,296, 92,290,174, 52)
( 22,214,140,264,389, 40, 67,141,243,379,229, 77,267,242)
( 25,130,138,390,397, 82, 78,246,232,211,224,266,263, 32)
( 27, 46,147,327,398,124, 76,372,238,337,219,308,260,284)
( 28,340,135,306,386,292, 69, 57,252,316,230,119,265,368)
( 29,277,132, 54,399,334, 83,120,244,358,217,350,261,305)
( 30,298,134,285,384, 61, 84,330,251,106,223,371,259,347)
( 33,382,145, 75,393,250, 64,225,245,253,221, 35,256,137)
( 34,361,133,348,387,313, 71,288,237, 43,231,329,272,116)
( 36,235,127,222,392,271, 74)( 41,109,139,369,385,355, 72,309,239,274,
216, 56,273,326)( 42,319,146,117,391,376, 70,351,240,295,218,287,258,
53)( 48, 63,336,335,125,118,370,364,343,345,303,302,281,279)
( 49,357,324,314,113,286,363)( 50,294,321, 62,126,328,377,112,349,366,
301,344,282,300)( 51,315,323,293,111, 55,378,322,356,114,307,365,280,
342) ] ],
[ 2, 25401600, 0, "4c", [ [ 100, 2 ], [ 200, 1 ], [ 20, 2 ] ], 1,
"Alt(7)^2.2^2", [ "A", 7, 2 ],
[ ( 1, 58,286)( 2, 49,294, 20, 50,283)( 3, 53,276, 11, 45,284)
( 4, 60,277, 18, 46,291)( 5, 61,279)( 6, 47,292)( 7, 63,293, 8,
52,275)( 9, 51,282)( 10, 44,280, 21, 62,281)( 12, 56,290)
( 13, 43,289)( 14, 59,285)( 15, 57,288)( 16, 55,274)( 17, 54,287)
( 19, 48,278)( 22,394,244,169,163,265)( 23,385,252,188,155,262)
( 24,389,234,179,150,263)( 25,396,235,186,151,270)( 26,397,237,173,
166,258)( 27,383,250,174,152,271)( 28,399,251,176,157,254)
( 29,388,233,175,168,272)( 30,387,240,177,156,261)( 31,380,238,189,
167,260)( 32,381,242,171,158,255)( 33,392,248,180,161,269)
( 34,379,247,181,148,268)( 35,395,243,182,164,264)( 36,393,246,183,
162,267)( 37,391,232,184,160,253)( 38,390,245,185,159,266)
( 39,382,249,172,165,256)( 40,384,236,187,153,257)( 41,386,241,170,
154,273)( 42,398,239,178,149,259)( 64,436,349,106,100,328)
( 65,427,357,125, 92,325)( 66,431,339,116, 87,326)( 67,438,340,123,
88,333)( 68,439,342,110,103,321)( 69,425,355,111, 89,334)
( 70,441,356,113, 94,317)( 71,430,338,112,105,335)( 72,429,345,114,
93,324)( 73,422,343,126,104,323)( 74,423,347,108, 95,318)
( 75,434,353,117, 98,332)( 76,421,352,118, 85,331)( 77,437,348,119,
101,327)( 78,435,351,120, 99,330)( 79,433,337,121, 97,316)
( 80,432,350,122, 96,329)( 81,424,354,109,102,319)( 82,426,341,124,
90,320)( 83,428,346,107, 91,336)( 84,440,344,115, 86,322)
(127,373,307,190,415,223)(128,364,315,209,407,220)(129,368,297,200,
402,221)(130,375,298,207,403,228)(131,376,300,194,418,216)
(132,362,313,195,404,229)(133,378,314,197,409,212)(134,367,296,196,
420,230)(135,366,303,198,408,219)(136,359,301,210,419,218)
(137,360,305,192,410,213)(138,371,311,201,413,227)(139,358,310,202,
400,226)(140,374,306,203,416,222)(141,372,309,204,414,225)
(142,370,295,205,412,211)(143,369,308,206,411,224)(144,361,312,193,
417,214)(145,363,299,208,405,215)(146,365,304,191,406,231)
(147,377,302,199,401,217), ( 1,332, 85,331,253,321,127,319)
( 2,248, 97,184,264,279,135,361)( 3,416,105,121,266,384,131,193)
( 4, 17,101,100,268,258,132,130)( 5,206, 87,415,273,111,140,382)
( 6,143, 88, 16,269, 90,142,256)( 7,437, 95,310,267, 27,136, 46)
( 8,353,103,226,260,342,145,214)( 9,374, 86,247,265,174,138,277)
( 10, 59, 91,436,263,300,141, 25)( 11,311, 99, 37,262, 48,133,424)
( 12,290, 93,373,254,237,139,172)( 13,185, 96,289,261,363,128,235)
( 14,395, 89,205,255,405,147,109)( 15, 38, 94, 58,259,426,137,298)
( 18, 80,104,163,270, 69,146,151)( 19,227, 92,352,271,216,134,340)
( 20,164,102, 79,272,153,144, 67)( 21,122, 98,394,257,195,129,403)
( 22,325, 43,322,421,326,295,330)( 23,241, 55,175,432,284,303,372)
( 24,409, 63,112,434,389,299,204)( 26,199, 45,406,441,116,308,393)
( 28,430, 53,301,435, 32,304, 57)( 29,346, 61,217,428,347,313,225)
( 30,367, 44,238,433,179,306,288)( 31, 52, 49,427,431,305,309, 36)
( 33,283, 51,364,422,242,307,183)( 34,178, 54,280,429,368,296,246)
( 35,388, 47,196,423,410,315,120)( 39, 73, 62,154,438, 74,314,162)
( 40,220, 50,343,439,221,302,351)( 41,157, 60, 70,440,158,312, 78)
( 42,115, 56,385,425,200,297,414)( 64,335,148,333)( 65,251,160,186,
75,293,156,375)( 66,419,168,123, 77,398,152,207)( 68,209,150,417,
84,125,161,396)( 71,356,166,228)( 72,377,149,249, 76,188,159,291)
( 81, 83,167,165)( 82,230,155,354)(106,329,379,320,190,318,400,336)
(107,245,391,173,201,276,408,378)(108,413,399,110,203,381,404,210)
(113,350,397,215,197,339,418,231)(114,371,380,236,202,171,411,294)
(117,287,387,362,191,234,412,189)(118,182,390,278,198,360,401,252)
(119,392,383,194,192,402,420,126)(124,224,386,341,208,213,407,357)
(169,327,274,324,358,317,232,328)(170,243,286,177,369,275,240,370)
(176,348,292,219,365,338,250,223)(180,285,282,366,359,233,244,181)
(187,222,281,345,376,212,239,349)(211,323,337,334)(218,344,355,229) ]
],
[ 3, 25401600, 0, "4c", [ [ 100, 2 ], [ 200, 1 ], [ 20, 2 ] ], 1,
"Alt(7)^2.4", [ "A", 7, 2 ],
[ ( 1,199, 88,404, 76,146,394,360, 39,227,282,302)( 2,346,105,236, 77,335,
385,171, 32, 59,279,428)( 3, 31,101,278, 71, 20,388, 87, 26, 80,293,
386)( 4,409, 97,131, 79,377,396,213, 30,311,274,197)
( 5, 73,104,383, 66, 41,395,276, 29, 17,283, 92)( 6,430, 86,341, 84,
251,392,318, 28,185,284, 50)( 7,178, 95, 47, 69,440,380,339, 42,248,
287,323)( 8, 10, 94, 89, 68, 83,398,381, 24, 38,290,281)
( 9,304, 85,194, 67,419,391,129, 37,374,291,218)( 11, 52, 90,425, 65,
356,399,234, 35,332,280,176)( 12,262, 99,110, 82,167,390,255, 36,122,
292,155)( 13,136,100,362, 81,230,387,297, 22,206,277,407)
( 14,325, 91,173, 74, 62,384,423, 23,353,294,239)( 15,115,103,152, 75,
272,393,108, 40,164,285,260)( 16,367,102,215, 72,314,379,192, 25,416,
286,134)( 18,220, 93,299, 64,209,382,402, 34,143,289,365)
( 19,157, 96,257, 78,125,397,150, 33,269,288,113)( 21,241, 98,320, 70,
188,389, 45, 27,437,275,344)( 43,195,424,401,349,147,247,371,333,217,
177,305)( 44,342,441,233,350,336,238,182,326, 49,174,431)
( 46,405,433,128,352,378,249,224,324,301,169,200)( 48,426,422,338,357,
252,245,329,322,175,179, 53)( 51,300,421,191,340,420,244,140,331,364,
186,221)( 54,258,435,107,355,168,243,266,330,112,187,158)
( 55,132,436,359,354,231,240,308,316,196,172,410)( 56,321,427,170,347,
63,237,434,317,343,189,242)( 57,111,439,149,348,273,246,119,334,154,
180,263)( 58,363,438,212,345,315,232,203,319,406,181,137)
( 60,216,429,296,337,210,235,413,328,133,184,368)( 61,153,432,254,351,
126,250,161,327,259,183,116)(106,208,151,411,265,141,121,376,165,222,
261,309)(109,418,160,138,268,372,123,229,156,306,253,204)
(114,313,148,201,256,414,118,145,163,369,270,225)(117,271,162)
(120,124,166,159,264,267)(127,205,361,417,223,135,310,358,207,214,408,
307)(130,415,370,144,226,366,312,211,198,298,400,202)
(139,142,373,375,228,219,303,295,190,193,403,412),
( 1,124,425,151,186,224,285,246,368,311,337,108, 68,160,396,218,327,
241,200,296)( 2, 19,439,424,172,182,287,288,372,374,353,339, 66, 76,
391,386,323,325,199,191)( 3, 82,433,382,176,329,283,204,359, 17,355,
423, 67,181,392,281,330,367,206,338)( 4,187,434,277,183,371,290,351,
360, 80,349,381, 71,328,388,197,317, 10,208,422)( 5,166,438,214,180,
245,284,309,358,122,341,150, 81,223,390,239,326,304,190,107)
( 6, 40,429, 46,184, 98,280,141,377,416,342, 24, 72, 55,394, 92,322,
136,209,401)( 7,145,440,403,174, 35,282, 57,373,101,343,129, 83,412,
384, 29,324, 52,205, 86)( 8,334,430,193,170, 14,292,435,361,185,350,
276, 78,370,395,344,318, 73,202,380)( 9, 61,436, 88,175,140,293,414,
363, 38,345, 45, 79, 97,385,134,335,409,195, 23)( 11,313,421,109,173,
161,291,225,369,248,347,297, 64,118,383,155,333,220,201,233)
( 12,250,431,298,169,119,278,162,375,227,348,234, 74,307,379,113,320,
157,207,212)( 13,397,428,319,178,203,275, 15,376,437,340,171, 77,286,
393,365,332,346,192, 65)( 16,103,427,130,188,413,279, 36,366, 59,352,
87, 70,139,398,407,321, 31,198, 44)( 18,229,432,235,179,308,274,120,
362,164,354,213, 75,244,389,302,316,115,194,149)( 20,418,426, 25,177,
56,289, 99,364,143,356,402, 69, 34,387, 50,331, 94,196,128)
( 21,271,441,256,189,266,294,267,378,269,357,255, 84,265,399,260,336,
262,210,254)( 22,114, 47,163,102,217,138,251,410,300)
( 26,156, 60,226, 96,238,137,314,400,111)( 27, 30, 51, 58,100, 91,133,
146,419,405)( 28,135, 62,415, 90)( 32,303, 43,121, 89,154,144,230,
411,237)( 33,240, 53,310, 85,112,131,167,417,216)( 37, 93, 49,142,
104,406,132, 41,408, 48)( 39,219, 54,247, 95,301,127,125,404,153)
( 42,261, 63,268,105,259,147,272,420,258)(106,110,152,165,228,222,243,
242,305,295)(116,299,148,123,215,159,249,221,306,232)
(117,236,158,312,211)(126,257,168,270,231,264,252,263,315,253) ] ],
[ 4, 50803200, 0, "4c", [ [ 100, 2 ], [ 200, 1 ], [ 20, 2 ] ], 1,
"Sym(7) wreath Sym(2)", [ "A", 7, 2 ],
[ ( 1,103,427)( 2,105,435, 4, 87,428)( 3, 92,422, 21, 99,424)
( 5, 96,437, 10,102,429)( 6, 98,440, 13, 95,436)( 7, 85,439)
( 8, 86,441, 15, 88,423)( 9, 89,432, 17, 94,438)( 11,100,426, 14,
104,433)( 12,101,430, 18, 93,425)( 16, 90,434, 20, 97,431)
( 19, 91,421)( 22,334,385)( 23,336,393, 25,318,386)( 24,323,380, 42,
330,382)( 26,327,395, 31,333,387)( 27,329,398, 34,326,394)
( 28,316,397)( 29,317,399, 36,319,381)( 30,320,390, 38,325,396)
( 32,331,384, 35,335,391)( 33,332,388, 39,324,383)( 37,321,392, 41,
328,389)( 40,322,379)( 43, 82,175)( 44, 84,183, 46, 66,176)
( 45, 71,170, 63, 78,172)( 47, 75,185, 52, 81,177)( 48, 77,188, 55,
74,184)( 49, 64,187)( 50, 65,189, 57, 67,171)( 51, 68,180, 59, 73,
186)( 53, 79,174, 56, 83,181)( 54, 80,178, 60, 72,173)
( 58, 69,182, 62, 76,179)( 61, 70,169)(106,166,259)(107,168,267,109,
150,260)(108,155,254,126,162,256)(110,159,269,115,165,261)
(111,161,272,118,158,268)(112,148,271)(113,149,273,120,151,255)
(114,152,264,122,157,270)(116,163,258,119,167,265)(117,164,262,123,
156,257)(121,153,266,125,160,263)(124,154,253)(127,208,406)
(128,210,414,130,192,407)(129,197,401,147,204,403)(131,201,416,136,
207,408)(132,203,419,139,200,415)(133,190,418)(134,191,420,141,193,
402)(135,194,411,143,199,417)(137,205,405,140,209,412)
(138,206,409,144,198,404)(142,195,413,146,202,410)(145,196,400)
(211,313,364)(212,315,372,214,297,365)(213,302,359,231,309,361)
(215,306,374,220,312,366)(216,308,377,223,305,373)(217,295,376)
(218,296,378,225,298,360)(219,299,369,227,304,375)(221,310,363,224,
314,370)(222,311,367,228,303,362)(226,300,371,230,307,368)
(229,301,358)(232,292,343)(233,294,351,235,276,344)(234,281,338,252,
288,340)(236,285,353,241,291,345)(237,287,356,244,284,352)
(238,274,355)(239,275,357,246,277,339)(240,278,348,248,283,354)
(242,289,342,245,293,349)(243,290,346,249,282,341)(247,279,350,251,
286,347)(250,280,337), ( 1,247,328,140,378,302, 65, 33)
( 2, 37,316,245,370,134, 84,306)( 3, 58,335,350,366, 92, 73,201)
( 4,163,332,413,361,155, 80,411)( 5,184,322,266,362,176, 70,264)
( 6,121,333,287,376,218, 78,432)( 7,268,320,182,364,260, 68,180)
( 8, 79,327, 14,373,323, 77,369)( 9,100,325,203,360, 50, 83,348)
( 10,205,318, 56,377,344, 72, 96)( 11,394,326,392,368,386, 74,390)
( 12, 16,331,329,371,365, 71, 75)( 13,142,336,308,359, 29, 64,243)
( 15,436,321,119,375,281, 82,222)( 17,415,319,161,374,407, 67,159)
( 18,289,334,224,372,428, 69,117)( 19,226,330,434,363,113, 81,285)
( 20,352,324, 98,367,197, 66, 54)( 21,310,317, 35,358,239, 76,138)
( 22,232,244,139,147,315,296, 23)( 24, 43,251,349,135,105,304,191)
( 25,148,248,412,130,168,311,401)( 26,169,238,265,131,189,301,254)
( 27,106,249,286,145,231,309,422)( 28,253,236,181,133,273,299,170)
( 30, 85,241,202,129, 63,314,338)( 31,190,234, 55,146,357,303, 86)
( 32,379,242,391,137,399,305,380)( 34,127,252,307,128, 42,295,233)
( 36,421,237,118,144,294,313,212)( 38,400,235,160,143,420,298,149)
( 39,274,250,223,141,441,300,107)( 40,211,246,433,132,126,312,275)
( 41,337,240, 97,136,210,297, 44)( 45, 62,356,345, 93, 94,199,192)
( 46,167,353,408, 88,157,206,402)( 47,188,343,261, 89,178,196,255)
( 48,125,354,282,103,220,204,423)( 49,272,341,177, 91,262,194,171)
( 51,104,346,198, 87, 52,209,339)( 53,398,347,387, 95,388,200,381)
( 57,440,342,114,102,283,208,213)( 59,419,340,156,101,409,193,150)
( 60,293,355,219, 99,430,195,108)( 61,230,351,429, 90,115,207,276)
(109,165,290,418,214,162,437,405)(110,186,280,271,215,183,427,258)
(111,123,291,292,229,225,435,426)(112,270,278,187,217,267,425,174)
(116,396,284,397,221,393,431,384)(120,438,279,124,228,288,439,216)
(122,417,277,166,227,414,424,153)(151,164,416,403)(152,185,406,256)
(154,269,404,172)(158,395,410,382)(173,175,259,257)(179,385,263,383)
] ],
[ 5, 812851200, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1,
"PSL(3, 4) wreath Sym(2)", [ "L", [ 3, 4 ], 2 ],
[ ( 1,337,356, 41, 28, 91, 94,304,300, 6)( 2, 43,341,146, 25,427,103,115,
310,237)( 3,169,351, 83, 39,154,101,388,302,216)( 4,421,355,125,
37,238, 86, 52,299,132)( 5,127,340,440, 40,112,100,241,296, 48)
( 7, 85,346,314, 27)( 8,211,339,188, 36, 70,102,157,311,384)
( 9,400,357,209, 35,364, 96,325,307,258)( 10,295,342, 20, 22,343,104,
31,301, 90)( 11,274,347,293, 32,280, 95,283,305,279)( 12,316,349,272,
30,406,105,199,308,363)( 13,253,345,419, 42,196, 98,367,306,321)
( 14,358,348,335, 34,259, 93,409,315,195)( 15, 64,354,167, 38,385, 92,
220,297,174)( 16,232,338, 62, 26,133, 88,430,313,111)
( 17,379,344,230, 24,175, 99, 73,312,153)( 18,148,353,398, 29,217, 87,
178,309, 69)( 19,106,352,251, 23, 49, 89,136,298,426)
( 21,190,350,377, 33,322, 97,262,303,405)( 44, 47,131,130,424,439,124,
121,247,233)( 45,173,141, 67,438,166,122,394,239,212)
( 46,425,145,109,436,250,107, 58,236,128)( 50,215,129,172,435, 82,123,
163,248,380)( 51,404,147,193,434,376,117,331,244,254)
( 53,278,137,277,431,292,116,289,242,275)( 54,320,139,256,429,418,126,
205,245,359)( 55,257,135,403,441,208,119,373,243,317)
( 56,362,138,319,433,271,114,415,252,191)( 57, 68,144,151,437,397,113,
226,234,170)( 59,383,134,214,423,187,120, 79,249,149)
( 60,152,143,382,428,229,108,184,246, 65)( 61,110,142,235,422)
( 63,194,140,361,432,334,118,268,240,401)( 66,186,162, 80,396,155,227,
381,176,225)( 71,228,150,185,393)( 72,417,168,206,392,365,222,318,
181,267)( 74,291,158,290,389,281,221,276,179,288)( 75,333,160,269,
387,407,231,192,182,372)( 76,270,156,416,399,197,224,360,180,330)
( 77,375,159,332,391,260,219,402,189,204)( 78, 81,165,164,395,386,218,
213,171,183)( 84,207,161,374,390,323,223,255,177,414)
(198,413,378,201,329,370,264,324,412,273)(200,287,368,285,326,286,263,
282,410,294)(202,266,366,411,336)(203,371,369,327,328,265,261,408,
420,210), ( 1,134,166, 91, 14,281,152,385)( 2, 50,158,238)
( 3, 29,164,343, 13,260,159,217)( 4,302,153,112, 16,365,156,427)
( 5,386,148,133, 19, 92,161,280)( 6,113,163,364, 9,428,151,301)
( 7, 8,155,154)( 10,407,162, 70, 18,323,167,196)( 11,239,149, 49)
( 12,218,150, 28, 17,344,160,259)( 15, 71,165,322, 20,197,157,406)
( 21,176,168,175)( 22,143,355, 97,266,285,215,381)( 23, 59,347,244,
254, 54,221,234)( 24, 38,353,349,265,264,222,213)( 25,311,342,118,
268,369,219,423)( 26,395,337,139,271, 96,224,276)( 27,122,352,370,
261,432,214,297)( 30,437,340,307,258,117,226,360)( 31,416,351, 76,
270,327,230,192)( 32,248,338, 55,263,243,212, 45)( 33,227,339, 34,
269,348,223,255)( 35,290,341,391,253,138,229, 87)( 36, 80,354,328,
272,201,220,402)( 37,374,345,433,256,306,216,108)( 39,332,356,202,
262,411,225, 66)( 40,101,350,286,257,390,211,129)( 41,206,346,412,
267, 75,228,318)( 42,185,357,181,273,180,231,171)( 43,137,250, 86,
56,284,236,380)( 44, 53,242,233)( 46,305,237,107, 58,368,240,422)
( 47,389,232,128, 61, 95,245,275)( 48,116,247,359, 51,431,235,296)
( 52,410,246, 65, 60,326,251,191)( 57, 74,249,317, 62,200,241,401)
( 63,179,252,170)( 64,144,334,104,203,283,404,393)( 67,312,321,125,
205,367,408,435)( 68,396,316,146,208, 94,413,288)( 69,123,331,377,
198,430,403,309)( 72,438,319,314,195,115,415,372)( 73,417,330, 83,
207,325,419,204)( 77,291,320,398,190,136,418, 99)( 78, 81,333,335,
209,199,409,414)( 79,375,324,440,193,304,405,120)( 82,102,329,293,
194,388,400,141)( 84,186,336,188,210,178,420,183)( 85,140,292, 89,
392,274,131,397)( 88,308,279,110,394,358,135,439)( 90,119,289,362,
387,421,130,313)( 93,434,277,299,384,106,142,376)( 98,287,278,383,
379,127,145,103)(100,371,282,425,382,295,132,124)(105,182,294,173,
399,169,147,187)(109,310,363,114,436,361,303,426)(111,121,373,366,
429,424,298,300)(126,184,378,177,441,172,315,174) ] ],
[ 6, 1625702400, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1, "PSL(3, 4)^2.2^2",
[ "L", [ 3, 4 ], 2 ],
[ ( 1, 7,217,222, 33, 22)( 2,280,212,285, 23,274)( 3,301,216,369, 37,127
)( 4,112,214,117, 25,106)( 5,427,218, 96, 41,379)( 6,364,226,138,
24,295)( 8, 91,230,390, 26,421)( 9,343,220,264, 34,148)
( 10,259,223,159, 30,337)( 11, 49,224,411, 38, 64)( 12, 28,211)
( 13,154,219,348, 31,253)( 14,406,227, 75, 32, 43)( 15,322,231,201,
40,232)( 16,133,213,306, 27,358)( 17, 70,221, 54, 35,400)
( 18,175,228,180, 39,169)( 19,238,225,327, 42,190)( 20,385,215,432,
29, 85)( 21,196,229,243, 36,316)( 44,287,401,290, 65,284)
( 45,308,405,374, 79,137)( 46,119,403,122, 67,116)( 47,434,407,101,
83,389)( 48,371,415,143, 66,305)( 50, 98,419,395, 68,431)
( 51,350,409,269, 76,158)( 52,266,412,164, 72,347)( 53, 56,413,416,
80, 74)( 55,161,408,353, 73,263)( 57,329,420,206, 82,242)
( 58,140,402,311, 69,368)( 59, 77,410)( 60,182,417,185, 81,179)
( 61,245,414,332, 84,200)( 62,392,404,437, 71, 95)( 63,203,418,248,
78,326)( 86,293,380,278,422,281)( 87,314,384,362,436,134)
( 88,125,382,110,424,113)( 89,440,386)( 90,377,394,131,423,302)
( 92,104,398,383,425,428)( 93,356,388,257,433,155)( 94,272,391,152,
429,344)( 97,167,387,341,430,260)( 99,335,399,194,439,239)
(100,146,381,299,426,365)(102,188,396,173,438,176)(103,251,393,320,
441,197)(105,209,397,236,435,323)(107,277)(108,298,111,361,121,130)
(114,340,115,256,118,151)(120,319,126,193,124,235)(123,172)
(128,276,296,279,359,289)(129,297,300,363,373,142)(132,360,310)
(135,339,304,258,370,163)(136,255,307,153,366,352)(139,150,303,342,
367,268)(141,318,315,195,376,247)(144,171,312,174,375,184)
(145,234,309,321,378,205)(147,192,313,237,372,331)(149,282,338,283,
254,286)(156,345,346,262,265,160)(157,261,349)(162,324,357,199,271,
244)(165,177,354,178,270,181)(166,240,351,325,273,202)
(168,198,355,241,267,328)(170,291)(183,333,189,207,187,249)
(191,292,233,288,317,294)(204,334,252)(208,250,246,330,336,210),
( 1,137,262,398, 59,306,208, 87)( 2,284,260,125, 47,369,205,423)
( 3, 11,263,272, 62, 54,201,192)( 4, 32,265,251, 48, 75,210,150)
( 5,368,268,440, 44,285,197,108)( 6, 74,273,167, 46, 33,202,234)
( 7,347,270,335, 49,348,207,318)( 8,116,257,377, 58,432,191,276)
( 9,410,266,230, 51,411,203,213)( 10,389,269,314, 61, 96,190,129)
( 12,200,255, 20, 53,264,209, 45)( 13,242,258, 83, 63,159,193, 24)
( 14,221,261,419, 56,222,198,402)( 15,179,267,188, 57,180,204,171)
( 16,431,254,293, 50,117,194,360)( 17,305,271,104, 43,138,199,381)
( 18,326,259,356, 60,327,196,339)( 19, 95,253,146, 52,390,206,297)
( 21,158,256, 41, 55,243,195, 66)( 22,139,241,384, 80,315,166, 88)
( 23,286,239,111, 68,378,163,424)( 25, 34,244,237, 69, 84,168,151)
( 26,370,247,426, 65,294,155,109)( 27, 76,252,153, 67, 42,160,235)
( 28,349,249,321, 70,357,165,319)( 29,118,236,363, 79,441,149,277)
( 30,412,245,216, 72,420,161,214)( 31,391,248,300, 82,105,148,130)
( 35,223,240,405, 77,231,156,403)( 36,181,246,174, 78,189,162,172)
( 37,433,233,279, 71,126,152,361)( 38,307,250, 90, 64,147,157,382)
( 39,328,238,342, 81,336,154,340)( 40, 97,232,132, 73,399,164,298)
( 85,127,136,388,395,311,313,103)( 86,274,134,115,383,374,310,439)
( 89,358,142,430,380,290,302,124)( 91,337,144,325,385,353,312,334)
( 92,106,131,367,394,437,296,292)( 93,400,140,220,387,416,308,229)
( 94,379,143,304,397,101,295,145)( 98,211,135,409,392,227,303,418)
( 99,169,141,178,393,185,309,187)(100,421,128,283,386,122,299,376)
(102,316,133,346,396,332,301,355)(107,278,365,121,425,359,289,428)
(110,362,373,436,422,275,281,113)(112,341,375,331,427,338,291,323)
(114,404,371,226,429,401,287,218)(119,215,366,415,434,212,282,407)
(120,173,372,184,435,170,288,176)(123,320,364,352,438,317,280,344)
(175,351,186,330)(177,414,182,225)(217,345,417,329)(219,408,413,224)
(228,324,406,350)(322,343,354,333) ] ],
[ 7, 1625702400, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1, "PSL(3, 4)^2.4",
[ "L", [ 3, 4 ], 2 ],
[ ( 1,319,171,315,401,125,257, 33,157,100,219,393, 48,245,337,328,423,313,
275,112,131, 29,199,102, 72,395,363,242)( 2,109,173, 42,409,104,261,
390,153,247,211,330, 45,308,338,118,425, 40,283, 91,135,386,195,249,
64,332,360,305)( 3,298,170,126,404, 41,262, 96,156,394,216,246, 43,
329,339,307,422,124,278, 28,136, 92,198,396, 69,248,358,326)
( 4,172,189,420,419,272,264,159,163,226,225, 57, 56,350,349,433,439,
292,280,133,134,197,207, 81, 80,374,368, 11)( 5, 25,178,105,408,398,
258,243,148,331,213,309, 44,119,341, 34,430,103,282,385,132,239,190,
333, 66,311,359,116)( 6,235,169,336,402,314,254,117,152, 37,220, 99,
51,392,342,244,421,334,276,301,128,113,194, 39, 73,101,366,389)
( 7,130,176,210,417, 83,269,369,158, 16,214,183, 63,413,356,265,432,
166,289,217,141, 50,203,354, 76,437,376,284)( 8,193,186, 84,416,377,
263, 12,151,184,231,414, 62,266,348,160,436,229,288, 49,140,344,202,
438, 82,290,364,137)( 9,382,174,252,400,335,255,306,149,121,215, 36,
52, 98,345,391,426,250,274,322,129,302,191,123, 68, 38,367, 95)
( 10, 88,177,399,405,251,253,327,150,310,212,120, 47, 35,346, 97,429,
397,279,238,127,323,192,312, 65,122,362, 32)( 13,424,187,294,406,146,
260,201,165, 79,227,372, 53, 14,340,181,441,418,293,259,138,155,205,
228, 78, 59,371,347)( 15, 46,182,357,412,440,271,285,154,142,218,204,
60, 77,353,370,431, 19,277,175,147,407,209,270, 75,164,373,221)
( 17,361,179, 21,403,188,273,411,167,268,222,162, 58,224,351, 55,434,
355,286,427,145,281,196,144, 71,206,375, 74)( 18, 67,185,378,410, 20,
256,180,168,415,230,267, 54,161,352,223,435, 61,287,343,139,428,208,
291, 70,143,365,200)( 22,325, 87,303,380,111,236)( 23,115, 89, 30,
388, 90,240,379,321,234,295,317,108,299)( 24,304, 86,114,383, 27,241,
85,324,381,300,233,106,320)( 26, 31, 94, 93,387,384,237,232,316,318,
297,296,107,110), ( 1,372,283, 7,267,289,427,266,352,425,308,337,
362,304)( 2,183,293,217,260, 79,429,161,349, 47,315,190,368, 31, 17,
141,279,385,271,331,438,119,348,404,298,232,360, 94)( 3, 99,275,175,
272,226,428, 77,345,152,307, 43,378,199, 11, 36,290,133,258,394,439,
329,354,110,306,400,361,241)( 4,246,276, 91,254,184,440,224,344, 68,
303,148,370, 52, 21,204,284, 28,269,142,426,392,355,320,312,106,369,
409)( 5,309,274,364,262, 16,435,287,343,257,310,421,371,346)
( 6,393,292,322,270,121,432,413,340,236,297, 85,359,178, 20,225,281,
70,261,163,433, 56,357,194,305, 22,374,136)( 8, 78,282,154,265, 58,
441,203,347, 26,311,127,363,388, 19,330,291,112,264,415,424,245,339,
89,296,169,377,220)( 9,162,286, 49,273,205,431, 35,353,131,300,379,
376,325, 18,120,285,406,256,247,423, 98,338,173,314,211,365, 73)
( 10, 15,288,280,259,268,436,434,350,341,299,295,358,367)
( 12,414,277,238,255,100,422,182,356,215,302, 64,366,157, 13, 57,294,
196,263, 37,437,140,342,383,313,316,375,115)( 14,351,278,301,253,373,
430)( 23,185,146,216,386, 82,324,165,118, 54,420,193,242, 24,101,128,
174,398,229,323, 81,114,159,412, 46,252,192, 95)( 25,248,129, 90,380,
187,335,228,113, 75,408,151,244, 45,105,191,179, 41,227,134, 69,387,
166,328, 60,126,201,410)( 27,395,145,321,396,124,327,417,109,243,402,
88,233,171,104,212,176, 83,219,155, 76, 51,168,202, 53, 42,206,137)
( 29, 80,135,153,391, 61,336,207,116, 33,416,130,237,381,103,317,186,
125,222,407, 67,240,150, 97, 44,189,209,221)( 30,164,139, 48,399,208,
326, 39,122,138,405,382,250,318,102,107,180,419,214,239, 66, 93,149,
181, 62,231,197, 74)( 32, 38,143,132,384,397,334,333,123,117,411,403,
235,234, 87, 86,170,188,230,218, 71, 72,156,160, 55, 63,210,200)
( 34, 59,147,195,389, 40,332,144,111,390,418,319,249,108, 96,401,172,
251,213, 92, 65,177,167,223, 50, 84,198,158) ] ],
[ 8, 2438553600, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1, "PSL(3, 4)^2.Sym(3)",
[ "L", [ 3, 4 ], 2 ],
[ ( 1, 52,331,296, 11,220,327,128)( 2, 10,325,317)( 3,346,329,401, 20,
115,321, 23)( 4,430,324, 65)( 5,178,334,191, 7,367,333, 86)
( 6, 31,318,338, 14,409,335,107)( 8,388,336,254, 17,241,330,149)
( 9, 73,319,422)( 12,136,316, 44, 16,304,326,212)( 13,283,328,275)
( 15,157,323,380, 21,262,332,233)( 18, 94,320,170, 19,199,322,359)
( 22, 45,352,308,410,230,117,132)( 24,339,350,413,419,125,111, 27)
( 25,423,345, 77,403,440,114, 69)( 26,171,355,203,406,377,123, 90)
( 28,360,354, 98,404,188,124,195)( 29,381,357,266,416,251,120,153)
( 30, 66,340,434,408, 83,109,426)( 32,213,348,140,400, 62,121,300)
( 33,129,337, 56,415,314,116,216)( 34,276,349,287,412,293,118,279)
( 35,402,356,119,405, 41,108,342)( 36,150,344,392,420,272,122,237)
( 37,297,347,224,411,146,106, 48)( 38,234,351,161,407,398,126,258)
( 39, 87,341,182,418,209,112,363)( 40,192,343,371,417,104,110,174)
( 42,255,353,245,414,167,113,384)( 43, 58,310,305,221,222,138,127)
( 46,436,303, 74,214,432,135, 64)( 47,184,313,200,217,369,144, 85)
( 49,373,312, 95,215,180,145,190)( 50,394,315,263,227,243,141,148)
( 51, 79,298,431,219, 75,130,421)( 53,226,306,137,211, 54,142,295)
( 55,289,307,284,223,285,139,274)( 57,163,302,389,231,264,143,232)
( 59,247,309,158,218,390,147,253)( 60,100,299,179,229,201,133,358)
( 61,205,301,368,228, 96,131,169)( 63,268,311,242,225,159,134,379)
( 67,424,429, 72)( 68,172,439,198, 70,361,438, 93)( 71,382,441,261,
80,235,435,156)( 76,277,433,282)( 78,151,428,387, 84,256,437,240)
( 81, 88,425,177, 82,193,427,366)( 89,173,187,208,196,364,375,102)
( 91,362,186,103,194,175,376,207)( 92,383,189,271,206,238,372,165)
( 97,278,181,292,202,280,370,291)( 99,152,176,397,210,259,374,249)
(101,236,183,166,197,385,378,270)(105,257,185,250,204,154,365,396)
(155,386,399,273,269,248,246,162)(160,281,391,294,265,290,244,288)
(164,239,393,168,260,395,252,267),
( 1,186,389, 76,166,106,144,368,265,208,295,228, 32,328,250,421, 60,
95,349,418,274, 18,179,391, 82,148,123,137,370,271,190,312,221, 34,
334,232,438, 53, 97,355,400,291, 11,181,397, 64,165,116,139,376,253,
207,305,223, 40,316,249,431, 55,103,337,417,284, 13,187,379, 81,158,
118,145,358,270,200,307,229, 22,333,242,433, 61, 85,354,410,286, 19,
169,396, 74,160,124,127,375,263,202,313,211, 39,326,244,439, 43,102,
347,412,292)( 2,175,390, 83,157,122,135,361,255,197,299,224, 27,336,
247,422, 49, 96,356,409,290, 9,172,381, 71,152,119,132,378,268,191,
301,222, 41,325,248,429, 46, 87,344,404,287, 6,189,394, 65,154,117,
146,367,269,198,298,213, 29,320,245,426, 63,100,338,406,285, 20,178,
395, 72,151,108,134,362,266,195,315,226, 23,322,243,440, 52,101,345,
403,276, 8,173,392, 69,168,121,128,364,264,209,304,227, 30,319,234,
428, 47, 98,342,420,289)( 3,176,383, 77,153,126,142,359,259,201,314,
220, 38,324,235,423, 50, 89,350,405,294, 16,170,385, 75,167,115,143,
366,256,192,302,215, 35,321,252,436, 44, 91,348,419,283, 17,177,382,
66,155,110,140,363,273,205,296,217, 33,335,241,437, 51, 88,339,407,
278, 14,174,399, 79,149,112,138,377,262,206,303,214, 24,323,236,434,
48,105,352,401,280, 12,188,388, 80,156,109,129,365,257,203,300,231,
37,317,238,432, 62, 94,353,408,277)( 4,171,386, 68,161,111,147,373,
254,196,306,230, 31,332,240,424, 45, 92,341,413,279, 21,184,380, 70,
159,125,136,374,261,193,297,218, 26,329,237,441, 58, 86,343,411,293,
10,185,387, 67,150,113,131,371,258,210,310,212, 28,327,251,430, 59,
93,340,402,281, 5,182,384, 84,163,107,133,369,272,199,311,219, 25,
318,239,425, 56, 90,357,415,275, 7,180,398, 73,164,114,130,360,260,
194,308,216, 42,331,233,427, 54,104,346,416,282)( 15,183,393, 78,162,
120,141,372,267,204,309,225, 36,330,246,435, 57, 99,351,414,288) ] ],
[ 9, 2438553600, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1, "PSL(3, 4)^2.6",
[ "L", [ 3, 4 ], 2 ],
[ ( 1,134)( 2,302, 18,155, 14,260)( 3,197, 9,113, 12,407)
( 4,239, 17,365, 11, 29)( 5,176, 13,218, 21, 92)( 6,386, 7,344,
20, 50)( 10, 71)( 15,281, 19,428, 16,323)( 22,130,232,143,358,137)
( 23,298,249,164,371,263)( 24,193,240,122,369,410)( 25,235,248,374,
368, 32)( 26,172,244,227,378, 95)( 27,382,238,353,377, 53)
( 28,340,251, 59,363,389)( 30,109,243,416,360,200)( 31, 67,241, 80,
367, 74)( 33,403,234,206,366,116)( 34,214,252,101,362,179)
( 35,256,233,311,375,158)( 36,277,250,437,373,326)( 37,319,246,290,
376,431)( 38,361,242)( 39,151,245,269,359,305)( 40,424,247,332,372,
284)( 41, 46,237,395,364,347)( 42, 88,236,185,370,221)
( 43,132,379,133,337,146)( 44,300,396,154,350,272)( 45,195,387,112,
348,419)( 47,174,391,217,357,104)( 48,384,385,343,356, 62)
( 49,342,398)( 51,111,390,406,339,209)( 52, 69,388, 70,346, 83)
( 54,405,381,196,345,125)( 55,216,399, 91,341,188)( 56,258,380,301,
354,167)( 57,279,397,427,352,335)( 58,321,393,280,355,440)
( 60,153,392,259,338,314)( 61,426,394,322,351,293)( 63, 90,383,175,
349,230)( 64,136)( 65,304, 81,157, 77,262)( 66,199, 72,115, 75,409)
( 68,178, 76,220, 84, 94)( 78,283, 82,430, 79,325)( 85,131,169,139,
211,147)( 86,299,186,160,224,273)( 87,194,177,118,222,420)
( 89,173,181,223,231,105)( 93,110,180,412,213,210)( 96,404,171,202,
219,126)( 97,215,189)( 98,257,170,307,228,168)( 99,278,187,433,226,
336)(100,320,183,286,229,441)(102,152,182,265,212,315)
(103,425,184,328,225,294)(106,138,400,129,190,135)(107,306,417,150,
203,261)(108,201,408)(114,117,411,402,192,198)(119,264,401,297,207,
156)(120,285,418,423,205,324)(121,327,414,276,208,429)
(123,159,413,255,191,303)(124,432,415,318,204,282)(128,295,144,148,
140,253)(141,274,145,421,142,316)(149,308,270)(161,266,254,296,312,
165)(162,287,271,422,310,333)(163,329,267,275,313,438)
(166,434,268,317,309,291)(288,292,439,436,331,330)(289,334,435),
( 1, 94,142,125,322,261, 32,372,203,174,243,353, 50, 18, 73,130,440,
328,156, 42,393,194,279,233,227, 45,312, 82,403,421, 97,163,126,385,
257,284,359,224,171,306,355,407)( 2,220,129,314,334,408, 22, 99,205,
111,238,269, 53,375, 77,172,432,349,155, 21,388,131,293,317,219, 24,
309,208,405,232,101, 58,123, 70,256,431,370,161,189,390,341,281)
( 3,304,145,419,316, 93, 37,120,196,258,242,374, 56,186, 75,340,428,
13,157,147,398,320,282, 23,225,192,300,250,416, 43,102, 79,109,427,
265,158,378,392,173,285,338,218)( 4,430,139,167,336,387, 26,288,191,
216,234,311, 61,417, 64, 88,436,118,154,273,389,362,287,170,222,339,
302, 19,409,127,104,331,114, 28,267,200,363,245,185, 54,354, 71)
( 5,283,128,230,318,303, 40,414,190, 90,247,122, 49,270, 74,361,434,
181,159,357,386)( 6,241,143, 62,333, 72, 25,435,202,153,252,395, 47,
291, 65,214,423,307,166,420,379, 89,289,107,217,255,305,376,413,169,
96,352,113, 7,262,137,377,329,177, 33,351,197)( 8, 10,136,146,335,
324, 30, 36,204,195,237,248, 59, 60, 81, 67,424,433,160,168,399,383,
278,275,212,213,297,313,418,400, 85,100,121,112,259,263,368,371,182,
180,348,344)( 9, 31,141,209,321,240, 38, 57,207, 69,235,437, 55,165,
84,382,425,286,149,231,381,299,292,401,211, 87,310,124,406,253, 95,
373,119,175,264,347,365, 14,178,138,356,323)( 11,367,140,188,327,345,
29, 15,199,132,251,332, 51, 39, 78,193,426,244,164, 63,396, 68,277,
422,223,150,315,397,404,274, 86,226,108,301,271,410,358, 98,184,117,
343,260)( 12,346,134, 20,325,135, 41,330,198, 27,246,206, 48,249, 80,
46,438, 76,151,441,391,152,294,380,215,276,296,229,402,295,103,415,
106, 91,268,116,364,266,179,369,350,176)( 16,115,133,272,326,366, 35,
183,201,342,239, 17, 52,144, 83,319,429, 34,162,210,384,236,290, 44,
228, 66,298,439,412,148,105,394,110,280,254,221,360,308,187,411,337,
92) ] ],
[ 10, 3251404800, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1,
"PSigmaL(3, 4) wreath Sym(2)", [ "L", [ 3, 4 ], 2 ],
[ ( 1, 70, 39,281, 93,410)( 2,301, 23,302, 86,305)( 3,364, 34,428, 99,242
)( 4, 49, 38,113, 90,179)( 5,217, 37,134, 94,263)( 6,175, 25, 50,
101,116)( 7, 28, 29, 92, 95, 11)( 8, 91, 32)( 9,406, 22, 71,102,
284)( 10,259, 26,218,100,137)( 12,154, 40,323, 98,389)
( 13,427, 36,239, 87,368)( 14,385, 33,155,103,326)( 15,238, 24,365,
97,431)( 16,133, 31,260, 89,221)( 17,112, 27,176, 88, 53)
( 18,280, 30,407, 85, 74)( 19,322, 35,386, 96,158)( 20,196, 41,197,
104,200)( 21,343, 42,344,105,347)( 43, 80,123,279,177,403)
( 44,311,107,300,170,298)( 45,374,118,426,183,235)( 46, 59,122,111,
174,172)( 47,227,121,132,178,256)( 48,185,109)( 51,416,106, 69,186,
277)( 52,269,110,216,184,130)( 54,164,124,321,182,382)
( 55,437,120,237,171,361)( 56,395,117,153,187,319)( 57,248,108,363,
181,424)( 58,143,115,258,173,214)( 60,290,114,405,169, 67)
( 61,332,119,384,180,151)( 62,206,125,195,188,193)( 63,353,126,342,
189,340)( 64, 81,291,282,408,400)( 65,312,275,303,401,295)
( 66,375,286,429,414,232)( 68,228,289,135,409,253)( 72,417,274)
( 73,270,278,219,415,127)( 75,165,292,324,413,379)( 76,438,288,240,
402,358)( 77,396,285,156,418,316)( 78,249,276,366,412,421)
( 79,144,283,261,404,211)( 82,333,287,387,411,148)( 83,207,293,198,
419,190)( 84,354,294,345,420,337)(128,304,254,299,212,310)
(129,367,265,425,225,247)(131,220,268)(136,262,257,215,226,142)
(138,157,271,320,224,394)(139,430,267,236,213,373)(140,388,264,152,
229,331)(141,241,255,362,223,436)(145,325,266,383,222,163)
(146,199,272,194,230,205)(147,346,273,341,231,352)(149,313,317,308,
380,306)(150,376,328,434,393,243)(159,166,334,329,392,390)
(160,439,330,245,381,369)(161,397,327)(162,250,318,371,391,432)
(167,208,335,203,398,201)(168,355,336,350,399,348)(191,314)
(192,377,202,440,204,251)(210,356)(233,297,359,307,422,309)
(234,360,370,433,435,246)(244,423,372)(252,339,378,349,441,351)
(315,338), ( 1,359,300,253,360, 48,264,108, 53,348,110,137,343, 5,
128,301)( 2,296,295,358,363,258,255, 45, 54,117,116,347,341,131,133,
7)( 3, 44,306,106,368,342,257,129, 49, 12,107,305,337,362,132,259)
( 4,149,308, 64,370,195,273, 87, 59,180,125,221,354,425,135,322)
( 6,254,297, 43,369,111,263,339, 47,138,112, 11,338,299,127,364)
( 8, 23,309,274,367,384,268,402, 50, 33,120,284,346,383,142,406)
( 9,317,298,148,371, 69,265,192, 63, 96,122,179,356,215,144,427)
( 10,380,310,400,365, 27,267,276, 52,390,121,410,344, 26,141,280)
( 13,191,315, 85,374,174,272,213, 60,432,114,326,340,152,140, 70)
( 14, 65,307,190,378, 90,269,171, 62,222,123,431,345,320,130,154)
( 15,275,304,379,373,405,260, 24, 57,285,115,389,352,404,134, 28)
( 16,401,302, 22,372,279,262,381, 58,411,113, 32,351,278,136,385)
( 17,170,314,211,375,426,261,318, 46,159,119, 74,349,194,147, 91)
( 18,422,303,316,361,153,266, 66, 55,201,126, 95,353,173,146,217)
( 19,233,313,232,376,237,271,234, 61,243,124,242,355,236,145,238)
( 20,212,312,421,366,321,256,150, 56, 75,118,200,357, 89,143,175)
( 21, 86,311,169,377,216,270,423, 51,327,109,158,350, 68,139,196)
( 25,162,287, 73,391,205,420, 92, 38,183,293,220,396,436,408,323)
( 29, 36,288,283,388,394,415,407)( 30,330,277,157,392, 79,412,197, 42,
99,290,178,398,226,417,428)( 31,393,289,409,386, 37,414,281)
( 34,204,294, 94,395,184,419,218, 39,435,282,325,382,163,413, 71)
( 35, 78,286,199,399,100,416,176, 41,225,291,430,387,331,403,155)
( 40,246,292,241,397,247,418,239)( 67,160,203, 84, 97,206,189,104,227,
186,440,219,333,424,156,329)( 72,328,193,168, 98, 80,181,209,231,102,
437,177,335,214,165,434)( 76,202,210,105,101,185,188,230,228,438,429,
324,319,151,161, 77)( 81,433,198,336, 88,164,182, 83,223,207,441, 93,
332,172,167,224)( 82,244,208,252,103,248,187,251,229,249,439,240,334,
235,166,245) ] ],
[ 11, 4877107200, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1, "PSL(3, 4)^2.D_12",
[ "L", [ 3, 4 ], 2 ],
[ ( 1,225,387,343, 83,115,298, 34,105,423,187,206,264,417, 53,274,218,324,
352,167,110,361, 35,147,426,250,191, 12,414,389,280, 71,325,310,160,
89,360,182,143,258,249, 44)( 2, 15,393,385, 70, 73,304,307, 97, 87,
171,185,269,270, 60, 43,211,219,345,356,125,109, 25, 42,441,439,208,
201,411,410,284,281,323,331,163,152,362,371,140,132,237,233)
( 3,183,395,259, 81, 52,295,223, 93,339,188,122,256, 39, 63,421,229,
198,348,419,116,277, 29,336,436,166,194,369,413,137,279,239,317, 16,
162,383,364, 77,136,300,244, 86)( 4, 36,399,427, 82,199,306,412, 95,
276,176,332,268,165, 47,358,224,135,342,251,107)( 5,372,392,133, 69,
241,296, 13, 99,381,175, 80,262,312, 55, 85,213,177,353,272,123, 46,
22,231,429,355,209,117,403, 32,294,428,334,205,159,404,368,287,134,
321,247,149)( 6,246,380, 7, 78,388,301, 76, 94,297,181,101,255,186,
59,253,228, 51,337,230,114,340, 41,126,424, 40,210,432,418,200,285,
407,326,289,155,320,373,161,131,363,245,128)( 8,330,394,154, 68,367,
308,139, 90,234,170, 17,267,396, 49, 64,220,303,349,104,108,172, 38,
273,438, 61,190,222,408,347,293,113,319, 37,168,425,376,203,138,405,
242,275)( 9,351,398,112, 67, 31,315,433,103,192,180,416,263,291, 50,
316,226,156,341,377,119,130, 27,252,422, 19,204,390,406, 74,283,302,
328,100,150,173,374,266,144, 48,232,212)( 10,309,391, 91, 66,178,311,
265,102, 45,169,227,261,354, 62,106,214, 30,357,440,124,193, 33,420,
431,292,197,327,415,158,278,365,329,142,153,236,359, 14,141,384,238,
65)( 11,288,386,322, 79,157,299,370, 98,129,174,248,254, 18, 57,379,
217, 72,346,314,118, 88, 24,189,437,271,207, 54,400,221,282,344,335,
121,151, 26,378,434,145,195,243,401)( 20,120,382, 28, 84,430,313,202,
96,402,179,290,260,333, 58,148,215,366,350,146,111,235, 23, 21,435,
397,196, 75,409,305,286, 92,318,184,164,257,375, 56,127,216,240,338),
( 1,415,211,416,253,408,379,419,358,410)( 2, 58,218,248,262, 72,396,
209,371,326)( 3,289,216,101,265,135,382,356,362,431)
( 4,352,215,437,255,282,384,104,370,137)( 5,436,213,290,258, 93,391,
146,361,347)( 6,100,223,143,256,345,383,440,360,284)
( 7,163,229,122,273,177,393,314,369, 32)( 8,247,220, 80,270,198,392,
335,359, 53)( 9,394,230,374,263)( 10, 79,228,206,266,324,380, 62,
365,242)( 11, 16,226,227,269,261,387,398,377,368)( 12, 37,217,164,
271,114,399,188,372,305)( 13,142,214,353,257,429,381,293,363, 95)
( 14,331,212, 59,260,240,388, 83,375,200)( 15,310,222, 38,259,156,397,
125,378,179)( 17,268,219,395,272,366,389, 20,373,221)
( 18,205,224,332,254, 51,386,251,367, 74)( 19,121,231,185,267,303,390,
41,364,158)( 21,184,225,311,264, 30,385,167,376,116)( 22,406,148,418,
106,420,169,414,295,411)( 23, 49,155,250,115, 84,186,204,308,327)
( 24,280,153,103,118,147,172,351,299,432)( 25,343,152,439,108,294,174,
99,307,138)( 26,427,150,292,111,105,181,141,298,348)( 27, 91,160,145,
109,357,173,435,297,285)( 28,154,166,124,126,189,183,309,306, 33)
( 29,238,157, 82,123,210,182,330,296, 54)( 31, 70,165,208,119,336,170,
57,302,243)( 34,133,151,355,110,441,171,288,300, 96)( 35,322,149, 61,
113,252,178, 78,312,201)( 36,301,159, 40,112,168,187,120,315,180)
( 39,196,161,334,107, 63,176,246,304, 75)( 42,175,162,313,117)
( 43,407,232,409, 64,417,190,413,316,401)( 44, 50,239,241, 73, 81,207,
203,329,317)( 45,281,237, 94, 76,144,193,350,320,422)
( 46,344,236,430, 66,291,195, 98,328,128)( 47,428,234,283, 69,102,202,
140,319,338)( 48, 92,244,136, 67,354,194,434,318,275)
( 52, 71,249,199, 77,333,191, 56,323,233)( 55,134,235,346, 68,438,192,
287,321, 86)( 60,197,245,325, 65)( 85,412,127,403,337,404,421,402,
274,405)( 87,286,132, 88,349,131,424,339,278,426)( 89,433,129,277,342
)( 90, 97,139,130,340,341,425,423,276,279) ] ],
[ 12, 7315660800, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1,
"PGL(3, 4) wreath Sym(2)", [ "L", [ 3, 4 ], 2 ],
[ ( 1,296,327,337,314,411,343, 62,415,133, 53,121,147,368,109,294,372,151,
276, 99,166,213, 94,439,215,388,429, 5,380,324)( 2,317,316,295,306,
348,356,419,406, 49, 58,142,137,116,126,378,361,277,288,162,150, 87,
103,229,220,430,425,383,387, 9)( 3, 86,334,211,304,432,341,398,408,
7, 44,331,127,305,117,357,377,403,280, 57,163,129, 95,124,231,367,
424,278,393,156)( 4,275,330,148,297, 96,355,230,409,427, 47,394,135,
11,107,336,358,298,285,351,167,402, 91, 61,226,136,431,110,399,366)
( 6,254,328, 64,311,201,344, 41,413,175, 48,268,139, 74,122,210,365,
25,287,183,153,255, 97, 82,227,199,428, 26,392,177)( 8, 23,329,169,
300,264,349, 83,416,196, 50, 37,140,179,111,273,370, 67,290,204,155,
24, 98,187,216,262,433, 68,395,198)( 10,422,320,379,303, 12,338,335,
400,301, 54,352,146,410,112, 63,373,130,284,120,168,360, 88,292,225,
157,423, 89,397,219)( 13, 65,332,190,302, 33,350,188,405,259, 55, 79,
143,200,113, 42,371,172,279,267,160, 66,101,208,218, 31,434,173,384,
261)( 14,170,321,253,307, 75,353,209,407, 28, 56,184,132,263,118, 84,
374,193,281, 36,161,171, 90,271,223, 73,437,194,386, 30)
( 15,149,318, 85,313,222,346,440,404,385, 51, 16,128,326,106,315,369,
340,293,414,154, 45,100,145,221,115,441,362,382,282)( 17,191,323, 22,
308,180,342,272,412, 70, 59,205,134, 32,119,189,363,256,286, 78,164,
192, 92, 40,224,178,426,257,391, 72)( 18,233,333,232,312,243,354,251,
417,238, 60,247,144,242,123,252,375,235,291,246,165,234,102,250,228,
241,438,236,396,240)( 19,212,325,421,299,390,345, 20,401,322, 43,310,
138,347,125,420,364, 46,289,141,158,108,105,376,214,283,435,152,381,
93)( 21,359,319,274,309,159,339,104,418,217, 52,436,131,389,114)
( 27,266,181, 69,269,202, 71, 38,203,176)( 29, 35,182,174,258,265, 76,
80,206,197)( 34, 77,185,195,260)( 39,245,186,237,270,244, 81,248,207,
239), ( 1,391,238, 87,337, 76,217,276,253, 34,133,297, 43,118,196,
150,169,433,364,402,316, 13,385,234, 85,349, 70,213,274,265, 28,129,
295, 55,112,192,148,181,427,360,400,328, 7,381,232, 97,343, 66,211,
286,259, 24,127,307, 49,108,190,160,175,423,358,412,322, 3,379,244,
91,339, 64,223,280,255, 22,139,301, 45,106,202,154,171,421,370,406,
318)( 2,392,233, 98,338, 77,212,287,254, 35,128,308, 44,119,191,161,
170,434,359,413,317, 14,380,245, 86,350, 65,224,275,266, 23,140,296,
56,107,203,149,182,422,371,401,329)( 4,387,249,100,340, 72,228,289,
256, 30,144,310, 46,114,207,163,172,429,375,415,319, 9,396,247, 88,
345, 81,226,277,261, 39,142,298, 51,123,205,151,177,438,373,403,324,
18,394,235, 93,354, 79,214,282,270, 37,130,303, 60,121,193,156,186,
436,361,408,333, 16,382,240,102,352, 67,219,291,268, 25,135,312, 58,
109,198,165,184,424,366,417,331)( 5,395,239, 95,341, 80,218,284,257,
38,134,305, 47,122,197,158,173,437,365,410,320, 17,386,242, 89,353,
71,221,278,269, 29,137,299, 59,113,200,152,185,428,368,404,332, 8,
389,236,101,344, 74,215,290,260, 32,131,311, 50,116,194,164,176,431,
362,416,323, 11,383,248, 92,347, 68,227,281,263, 26,143,302, 53,110,
206,155,179,425,374,407,326)( 6,399,241, 99,342, 84,220,288,258, 42,
136,309, 48,126,199,162,174,441,367,414,321, 21,388,246, 90,357, 73,
225,279,273, 31,141,300, 63,115,204,153,189,430,372,405,336, 10,393,
237,105,346, 78,216,294,262, 36,132,315, 52,120,195,168,178,435,363,
420,325, 15,384,252, 94,351, 69,231,283,267, 27,147,304, 57,111,210,
157,183,426,378,409,330)( 12,397,243,103,348, 82,222,292,264, 40,138,
313, 54,124,201,166,180,439,369,418,327, 19,390,250, 96,355, 75,229,
285,271, 33,145,306, 61,117,208,159,187,432,376,411,334)
( 20,398,251,104,356, 83,230,293,272, 41,146,314, 62,125,209,167,188,
440,377,419,335) ] ],
[ 13, 14631321600, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1, "PSL(3, 4)^2.3^2.4",
[ "L", [ 3, 4 ], 2 ],
[ ( 1, 57,390, 7,330,381,175,321,360,177,153,361,219,165,298,229,417,296,
145,404, 65,139,425, 83,118,421, 62,117)( 2,141,383, 70,328,423,188,
111,358, 51,159, 4,225,396,301,334,402,170,132,362, 72,160,424,230,
123,295, 61,411)( 3,183,384,364,324,150,172,216,375,303,166,403,212,
144,299, 82,412,422,146,110, 64, 55,432, 20,120,379, 49,327)
( 5, 78,391,427,335,108,169, 48,369, 9,162,382,217,333,297,187,405,
359,135,152, 67,223,438,314,124,400, 44,138)( 6,372,387,154,319,213,
186,300,376,408,149,130,215, 81,307,439,419,107,127, 47, 75, 13,435,
398,112,316, 45,180)( 8,246,389,259,329,192,185,342,373,282,168, 88,
220, 39,302,250,410,254,140,194, 80,349,436,293,126, 85, 52, 33)
( 10, 36,386,238,326,255,182,195,374,345,163,277,231,102,304, 40,407,
233,137,257, 77,202,437,356,121,274, 63, 96)( 11,267,392,196,332,339,
184,279,378, 93,157, 25,218,249,305,271,413,191,143,341, 79,286,441,
104,115, 22, 50,243)( 12, 15,393,385,322,318,171,174,363,366,156,151,
214,228,312,313,418,401,128,131, 68, 76,433,440,125,106, 43, 54)
( 14,204,395,343,331,276,189, 90,367, 30,155,235,221,270,308,208,416,
338,142,278, 84, 97,430, 41,113,232, 53,264)( 16,288,399, 91,325, 24,
176,237,368,261,161,193,227,354,310,292,420, 86,136, 26, 71,244,431,
272,119,190, 59,348)( 17,351,394,280,336, 87,178, 27,365,240,158,256,
224,207,311,355,415,275,147, 89, 73, 34,428,251,116,253, 56,201)
( 18,309,397,406,317,129,173, 69,370,429,167,109,211, 60,306, 19,414,
380,133,320, 66,181,426,377,114,148, 46,222)( 21, 99,388, 28,323,234,
179,258,371,198,164,340,226,291,315,103,409, 23,134,236, 74,265,434,
209,122,337, 58,285)( 29,239,242,263,266,203,206,353,352,289,294,105,
94, 31)( 32,260,245,200,269,350,205,290,357,100,283, 42, 92,241)
( 35,197,248,347,268,287,210,101,346, 37,281,252, 95,262)
( 38,344,247,284,273, 98,199),
( 1,415,440,193,311,354,381, 94,128,179,244,280)( 2,184,433,277,295,
417,398,199,143,347,234, 91)( 3,100,422,172,307,291,379,409,146,200,
248,343)( 4,310,438,382,304,144,389,241,133, 11,247,427)
( 5,331,441, 46,299,333,399, 52,131,326,252, 49)( 6,121,429,361,313,
39,384,115,135,368,250, 28)( 7, 16,436,424,298,312,396,388,136,137,
242,238)( 8,163,432, 67,308,270,386,157,138, 74,245,259)
( 9,373,439, 25,300,123,387,367,145, 32,237,112)( 10,142,431,235,301,
18,394,430,130,305,249,385)( 12, 79,434,256,302,165,390, 73,140,263,
239,154)( 13,289,421,403,314,207,395,346,129, 95,233,175)
( 14,268,428,151,306, 81,392,262,134,158,243, 70)( 15,226,435,214,309,
228,393,220,141,221,246,217)( 17,352,423, 88,296,186,391,283,127,410,
251,196)( 19, 37,426,109,303,375,397, 31,132,116,240,364)
( 20,205,437,340,297,102,380,178,139,284,232,406)( 21, 58,425,319,315,
60,383,325,147, 53,236,322)( 22,405,125,198,374,355, 24, 90,107,177,
370,292)( 23,174,118,282,358,418, 41,195,122,345,360,103)
( 26,321,126, 51,362,334, 42, 48,110,324,378, 61)( 27,111,114,366,376,
40)( 29,153,117, 72,371,271)( 30,363,124)( 33, 69,119,261,365,166)
( 34,279,106,408,377,208, 38,342,108, 93,359,187)( 35,258,113,156,369,
82)( 36,216,120,219,372,229)( 43,404,335,210, 59,341,318,105, 44,173,
328,294)( 45, 89,317,189, 55,278,316,420, 62,194,332,357)
( 47,320,336, 63)( 50,152,327, 84, 56,257,323,168, 54, 68,329,273)
( 57,215,330,231)( 64,413,272,197,164,348, 66, 98,254,176,160,285)
( 65,182,265,281,148,411, 83,203,269,344,150, 96)( 71,161,264)
( 75, 77,266,260,155,159)( 76,287,253,407,167,201, 80,350,255, 92,149,
180)( 78,224,267,218,162,222)( 85,401,188,202,290,337,402,104,191,
185,349,276)( 86,170,181,286,274,400,419,209,206,353,339, 87)
( 97,275,169,412,293,190,416,356,192,101,338,171)( 99,212,183,223,288,
211,414,230,204,227,351,213) ] ],
[ 14, 14631321600, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1,
"PSL(3, 4)^2.Sym(3)^2", [ "L", [ 3, 4 ], 2 ],
[ ( 1,166,237, 14,148,250, 6,161,232, 19,153,245)( 2,157,243, 7,149,241,
12,154,233, 10,159,238)( 3,150,234)( 4,165,236, 8,151,249, 5,155,
235, 18,152,239)( 9,164,247, 11,156,248, 16,158,240, 17,163,242)
( 13,168,244, 21,160,252)( 15,162,246)( 20,167,251)( 22,376,279,224,
337, 82, 27,371,274,229,342, 77)( 23,367,285,217,338, 73, 33,364,275,
220,348, 70)( 24,360,276,213,339, 66)( 25,375,278,218,340, 81, 26,
365,277,228,341, 71)( 28,359,283,222,343, 65, 31,369,280,212,346, 75)
( 29,361,291,215,344, 67, 39,362,281,214,354, 68)( 30,374,289,221,345,
80, 37,368,282,227,352, 74)( 32,366,290,226,347, 72, 38,373,284,219,
353, 79)( 34,378,286,231,349, 84)( 35,358,292,216,350, 64, 40,363,
287,211,355, 69)( 36,372,288,225,351, 78)( 41,377,293,230,356, 83)
( 42,370,294,223,357, 76)( 43,187, 48,182)( 44,178, 54,175)( 45,171)
( 46,186, 47,176)( 49,170, 52,180)( 50,172, 60,173)( 51,185, 58,179)
( 53,177, 59,184)( 55,189)( 56,169, 61,174)( 57,183)( 62,188)( 63,181)
( 85,418,384,266,106,313, 90,413,379,271,111,308)( 86,409,390,259,107,
304, 96,406,380,262,117,301)( 87,402,381,255,108,297)
( 88,417,383,260,109,312, 89,407,382,270,110,302)( 91,401,388,264,112,
296, 94,411,385,254,115,306)( 92,403,396,257,113,298,102,404,386,256,
123,299)( 93,416,394,263,114,311,100,410,387,269,121,305)
( 95,408,395,268,116,303,101,415,389,261,122,310)( 97,420,391,273,118,
315)( 98,400,397,258,119,295,103,405,392,253,124,300)
( 99,414,393,267,120,309)(104,419,398,272,125,314)(105,412,399,265,
126,307)(127,208,321,140,190,334,132,203,316,145,195,329)
(128,199,327,133,191,325,138,196,317,136,201,322)(129,192,318)
(130,207,320,134,193,333,131,197,319,144,194,323)(135,206,331,137,198,
332,142,200,324,143,205,326)(139,210,328,147,202,336)(141,204,330)
(146,209,335)(421,439,426,434)(422,430,432,427)(424,438,425,428)
(429,437,436,431)(433,441),
( 1, 85, 95,431,430,325,321,237,246,372,365, 50, 59,164,149,401,420,
315,312,396,381,276,293,146,130,340,355,124,119, 14)( 2,400,105,305,
438,388,318,279,251,141,361,344, 61,122,161)( 3,274,104,137,424,346,
334,111,245, 15,358, 92, 53,437,157,317,405,252,309,375,386, 45,290,
167,128,403,357,313,123,392)( 4,337,103,116,434, 10,316, 90,242,435,
367,323, 48,248,162,359,407, 63,311,165,380,402,294,314,144,382,339,
292,125,140)( 5, 64, 91,263,432,199,331, 27,244,183,362, 71, 49,269,
159,191,415, 42,307,186,383, 66,280,272,138,193,352, 40,118,182)
( 6,232, 99,368,428, 52,332,153,233,414,378,302, 60,395,150,275,419,
147,298,354,397,108,287, 20,127, 88,347,439,115,329)( 7,253, 96,200,
436, 31,328,174,236, 78,364,260, 54,206,163, 23,412,189,299, 81,385,
255,285,209,142, 25,349,187,110, 77)( 8, 43,101,158,422,409,336,300,
249,393,360,281, 62,143,151,338,418,126,308, 18,379, 87,284,440,136,
319,342,250,120,371)( 9,211, 93,221,429,220,324,216,240,225,366,218,
51,227,156,212,408,231,303,228,387,213,282,230,135,214,345,229,114,
224)( 11,421, 94,326,426,241,330,363,239, 57,374,155, 44,416,168,296,
417,399,297,291,398,129,277,356,145,109,350, 19,106, 98)
( 12,190,100, 32,433,178,320, 69,238,267,369,197, 58, 38,160,170,404,
84,301,270,390,192,289, 41,139,172,341, 82,112,266)( 13,169, 89, 74,
427,262,327,195,247, 36,370,176, 47, 80,154,254,411,210,310, 39,391,
171,278, 83,133,256,348,208,121, 35)( 16, 22, 97,179,425, 73,322,258,
243,204,373, 29, 55,185,152, 65,406,273,306,207,394, 24,286,188,131,
67,343,271,117,203)( 17,148, 86,410,441,304,333,384,234,288,377,134,
46,353,166,107,413, 21,295,102,389,423,283,335,132,235,351,376,113,
56)( 26, 76,175,257, 75,196,268, 33,202,184)( 28,265,180,194, 79)
( 30,223,177,215, 72,217,261,222,198,226)( 34,181,173, 68, 70,259,264,
201,205, 37) ] ],
[ 15, 29262643200, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1,
"PGammaL(3, 4) wreath Sym(2)", [ "L", [ 3, 4 ], 2 ],
[ ( 1, 24,436,332,119,397,190,402,247,353,224, 82, 43, 87,163, 17, 35,439,
316,108,394,206,413,250,337,213, 79, 59, 98,166)( 2, 32,428,317,116,
386,191,410,239,338,221, 71, 44, 95,155)( 3, 37,437,329,124,379,192,
415,248,350,229, 64, 45,100,164, 14, 40,421,318,121,395,203,418,232,
339,226, 80, 56,103,148)( 4, 25,424,319,109,382,193,403,235,340,214,
67, 46, 88,151)( 5, 31,435,320,115,393,194,409,246,341,220, 78, 47,
94,162)( 6, 41,433,327,123,387,195,419,244,348,228, 72, 48,104,160,
12, 39,429,321,125,391,201,417,240,342,230, 76, 54,102,156)
( 7, 42,427,336,112,399,196,420,238,357,217, 84, 49,105,154, 21, 28,
441,322,126,385,210,406,252,343,231, 70, 63, 91,168)( 8, 23,431,323,
107,389,197,401,242,344,212, 74, 50, 86,158)( 9, 27,440,328,117,396,
198,405,251,349,222, 81, 51, 90,167, 13, 33,438,324,111,398,202,411,
249,345,216, 83, 55, 96,165)( 10, 36,425,325,120,383,199,414,236,346,
225, 68, 52, 99,152)( 11, 29,422,326,113,380,200,407,233,347,218, 65,
53, 92,149)( 15, 26,430,330,110,388,204,404,241,351,215, 73, 57, 89,
157)( 16, 38,434,334,106,381,205,416,245,355,211, 66, 58,101,161, 19,
22,423,331,122,392,208,400,234,352,227, 77, 61, 85,150)
( 18, 30,426,335,118,390,207,408,237,356,223, 75, 60, 93,153, 20, 34,
432,333,114,384,209,412,243,354,219, 69, 62, 97,159)(127,276,373,185,
308,145,274,360,184,311,140,292,358,171,310,143,287,376,169,297,142,
290,371,187,295,129,289,374,182,313)(128,284,365,170,305,134,275,368,
176,296,137,281,359,179,302)(130,277,361,172,298)(131,283,372,173,
304,141,278,367,183,299,136,288,362,178,309)(132,293,370,180,312,135,
279,377,181,306,144,282,363,188,307,138,291,366,174,314,139,285,375,
177,300,146,286,369,186,303)(133,294,364,189,301,147,280,378,175,315)
(253,255,268,269,266,271)(254,263,260)(257,262,267)(258,272,265,264,
270,261)(259,273), ( 1,337,357,315,308, 35, 37, 16)( 2,400,347,441,
297,140, 39,205, 13,358,351,189,301,266, 26,226)( 3,127,354,210,307,
371, 36,184, 7,253,341,231,296,413, 32,436)( 4, 85,340,105,298, 98,
25,100)( 5,211,338,420,305,434, 24,142, 18,190,349,378,309,182, 28,
268)( 6,106,355,252,314,287, 30, 79, 12,379,353,336,302, 56, 31,163)
( 8, 43,346,168,300,119, 40,247, 20,274,345, 84,306,392, 38,331)
( 9, 64,348,399,311,329, 29, 58, 10,148,342,126,313,245, 41,289)
( 11,421,339,147,312,203, 34,373, 15,169,343,273,299,224, 23,415)
( 14, 22,352, 21,295,350, 42,310)( 17,316,344, 63,304,161, 27,121, 19,
232,356,294,303, 77, 33,394)( 44,409,158,426,108,145,249,209,286,366,
78,180,385,269,320,218)( 45,136,165,195,118,376,246,188,280,261, 68,
222,380,416,326,428)( 46, 94,151, 90,109,103,235,104,277, 93, 67, 96,
382,101,319, 92)( 47,220,149,405,116,439,234,146,291,198, 76,369,393,
185,322,260)( 48,115,166,237,125,292,240, 83,285,387, 80,327,386, 59,
325,155)( 49,262,152,216,107,418,242,440,276,135, 81,201,391,374,330,
176)( 50, 52,157,153,111,124,250,251,293,282, 72, 75,390,395,332,323)
( 51, 73,159,384,122,334,239, 62,283,156, 69,117,397,248,335,281)
( 53,430,150,132,123,208,244,377,288,177, 70,264,383,227,317,407)
( 54,388,164,321,113, 61,241,167,279,114, 82,243,398,290,324, 71)
( 55,367,162,174,112,271,236,230,275,408, 74,432,381,143,333,197)
( 57,178,154,258,110,229,233,419,284,429, 66,138,396,206,328,365)
( 60,199,160,363,120,187,238,272,278,219, 65,411,389,437,318,134)
( 86,403, 95,424, 87,130,102,193, 97,361, 99,172, 91,256, 89,214)
(128,417,200,433,360,141,186,196,265,362,225,170,406,263,425,213)
(129,144,207,202,370,372,183,175,259,257,215,212,401,410,431,423)
(131,228,191,412,368,435,171,133,270,194,223,359,414,179,427,255)
(137,438,192,139,375,204,181,364,267,173,217,254,404,221,422,402) ] ],
[ 16, 1305142185996479054634545892556800000000, 0, "4c",
[ [ 400, 1 ], [ 40, 1 ] ], 1, "Alt(21) wreath Sym(2)", [ "A", 21, 2 ],
[ ( 1, 60,327, 13, 43,333, 12, 55,316, 18, 54,328)( 2, 53,336, 7, 61,320,
16, 48,323, 20, 44,326, 21, 49,334, 5, 58,321, 8, 62,317, 11, 63,
322, 19, 47,331, 6, 50,335)( 3, 59,319, 10, 51,329, 15, 45,332, 4,
52,324, 14, 57,318, 17, 46,325, 9, 56,330)( 22, 81,411,370,232,312,
96,202,169,165,348,265,421,396,222, 34, 64,417,369,244,295,102,201,
181,148,354,264,433,379,228, 33, 76,400,375,243,307, 85,207,180,160,
337,270,432,391,211, 39, 75,412,358,249,306, 97,190,186,159,349,253,
438,390,223)( 23, 74,420,364,250,299,100,195,176,167,338,263,441,385,
229, 26, 79,405,365,251,296, 95,210,175,166,341,268,426,386,230)
( 24, 80,403,367,240,308, 99,192,185,151,346,261,434,393,213, 38, 67,
409,366,245,309, 87,206,172,157,345,266,435,381,227, 25, 73,408,371,
246,297,101,193,178,156,350,267,423,395,214, 31, 72,413,372,234,311,
88,199,177,161,351,255,437,382,220, 30, 77,414,360,248,298, 94,198,
182,162,339,269,424,388,219, 35, 78,402,374,235,304, 93,203,183,150,
353,256,430,387,224, 36, 66,416,361,241,303, 98,204,171,164,340,262,
429,392,225)( 27, 71,419,359,242,315, 91,208,173,163,342,260,440,380,
221, 42, 70,418,362,247,300, 92,209,170,158,357,259,439,383,226)
( 28, 82,404,373,237,302,104,191,179,168,343,271,425,394,216, 29, 83,
401,368,252,301,103,194,184,153,344,272,422,389,231)( 32, 84,406,376,
236,310, 90,197,188,149,347,273,427,397,215, 37, 69,407,377,233,305,
105,196,187,152,352,258,428,398,212)( 40, 68,415,363,239,314, 86,200,
189,154,355,257,436,384,218, 41, 65,410,378,238,313, 89,205,174,155,
356,254,431,399,217)(106,123,117,118)(107,116,126,112,124,110,121,
111,113,125)(108,122,109,115,114,119,120)(127,144,138,139)
(128,137,147,133,145,131,142,132,134,146)(129,143,130,136,135,140,141)
(274,291,285,286)(275,284,294,280,292,278,289,279,281,293)
(276,290,277,283,282,287,288),
( 1,360,348,265, 19, 87,346,181, 8,402,354,244, 15, 45,352,118, 6,
150,353, 76, 2,213,356, 34, 4,192,345,286, 14,297,337,370, 12,255,
355, 97, 10,171,344,412, 18,234,351, 55, 16,108,342,160, 17, 66,338,
223, 20, 24,340,202, 9,276,350,307)( 3,339,349, 13)
( 5,318,357,139, 7,381,347,433)( 11,423,341,328, 21,129,343,391)
( 22,361,201,261,292, 98,304,169,365,411,270,250, 99, 52,184,113,405,
165,248, 78, 44,226,125, 27,151,206, 72,275,224,314)( 23,214,209, 30,
277,203,303,274,371,306,253,376, 96,262,187, 92,409,186,239,414, 60,
247,120, 48,163,122, 69,149,227, 83)( 25,193,198,282,287,308,295,358,
369,264,271,103, 94,178,176,407,417,249,246, 57, 58,121,111,153,164,
80, 65,212,230, 41)( 26,319,210,135,280,392,305,421,362,327,273,145,
91,388,179,428,404,333,252,141, 49,394,116,426,152,332, 84,128,217,
398, 32,424,194,324,294,140,301,379,368,432,257,334,105,136,175,386,
410,438,236,330, 63,142,112,384,158,437, 68,317,231,146, 28,382,200,
429,278,329,315,127,364,390,263,439, 89,325,189,134,406,396,242,435,
47,331,126,132,154,395, 74,422,215,335, 42,130,196,387,284,434,299,
316,378,138,259,397, 95,430,173,323,420,144,238,393, 53,436,110,321,
168,143, 70,380,221,440)( 29,403,207,240,288, 56,310,106,363,159,269,
82, 86,220,188)( 31,172,197,408,291,245,309, 43,373,117,258,166,101,
73,170,218,419, 39,235,204, 51,289,119,300,148,374, 75,254,229,104)
( 33,256,208, 93,283,182,302,400,375,243,267, 61,100,115,174,155,416,
81,233,225, 62, 37,109,195,156,290, 77,296,211,377)( 35,298,190,366,
285,266,313, 85,367,180,260,418,102,241,183, 50,415,123,237,162, 59,
79,107,216,167, 38, 67,191,219,293)( 36, 46,205,114,279,161,311, 64,
359,222,272, 40, 88,199,177,281,413,312,232,372, 54,268,124, 90,157,
185, 71,401,228,251)(131,322,399,137,427,383,326,441)
(133,385,389,431,425,320,336,147) ] ],
[ 17, 2610284371992958109269091785113600000000, 0, "4c",
[ [ 400, 1 ], [ 40, 1 ] ], 1, "Alt(21)^2.2^2", [ "A", 21, 2 ],
[ ( 1, 60,397,200,373,175,216,251, 25,267, 64, 50,313,199,352,189,132,245,
88,264,274, 45,334,191, 16,186,384,242,361,259,211, 62, 40,204, 79,
176,300,241,340,273,127, 56,103,201,289,171,321,233, 4,270,379, 53,
376,196,226,188, 27,246, 67,260,295, 52,355,210,142,182, 90,243,277,
255,316, 44, 19,207,394,179,363,238,214,272, 22, 57, 82,197,310,178,
342,252,130,266, 85, 54,292,192,331,170, 6,249,382,263,358, 49,229,
209, 37,183, 69,239,298,262,337, 63,145,203,100,180,279,234,319,254)
( 2, 18,396,389,368,364,217,230, 41, 36, 78, 71,302,304,346,357,147,
140, 98, 96,285,276,318,317)( 3,333,380, 11,375,385,221,377, 28,225,
83, 29,309, 73,344,315,136,350,105,138,287, 87,327,275)
( 5,165,391,116,366,427,227,419, 26,162, 76,113,303,430,353,420,131,
161, 97,117,282,423,332,401)( 7,228,398, 32,372, 70,218,314, 31,351,
84,134,308, 94,348,294,129,329, 86, 12,291,381,326,359)
( 8,312,388,347,378,133,224,104, 33,288, 66,323,296, 10,354,399,137,
371, 91,222,293, 24,330, 65)( 9,438,395,410,362,154,223,125, 30,435,
80,407,299,157,349,126,135,434,101,411,278,150,328,107)
( 13,123,387,431,374,406,215,167, 34,120, 72,428,311,409,341,168,139,
119, 93,432,290,402,320,149)( 14,102,390,284,360,322,212, 20, 39,393,
74,365,301,220,356, 42,141, 77, 92,306,283,339,336,128)
( 15, 81,386,305,367,343,231,146, 35, 99, 75,281,297,325,338, 21,144,
392, 95,369,280,213,335, 23)( 17,417,383,158,370,112,219,440, 38,414,
68,155,307,115,345,441,143,413, 89,159,286,108,324,422)
( 43, 61,208,205,184,174,237,235,256,253)( 46,271,190, 58,187,195,247,
172,258,232)( 47,166,202,121,177,426,248,403,257,148, 55,124,198,436,
185,405,236,151,265,106, 51,439,206,415,173,153,244,109,261,421, 59,
418,194,163,181,111,240,424,269,400)( 48,250,193,268,169)
(110,156,433,122,408,425,164,412)(114,429,437,416,404,152,160,118),
( 1, 60,311,410,361,259,149, 34,287, 3,333,295, 53,374,406,151,265,
275, 24,329)( 2, 39,308, 11,375,301,158,370,280,150,328,274, 45,332,
400, 46,269,401, 25,266)( 4,270,296, 32,371, 7,165,307,284,360,322,
148, 55,290,402,319,253, 44, 38,413)( 5,123,303, 74,365,238,166,202,
294, 87,330,379, 48,185,415,424,264,212, 26,119, 9, 81,302,242,376,
196,168, 97,288,381,321,169, 58,437,411,214,257,107, 30, 77, 8,249,
313,200,378, 91,162,391,279,171,331,421, 54,227,404,109,261, 65, 29,
245, 19,207,315, 95,372,385,153,181,289,423,327,211, 47,122,408, 67,
260,233, 40,203, 21,102,309,389,363,175,163,433,285,213,320,106, 51,
80,407,235,271,191, 42, 98, 15,396,300,179,373,427,159,223,278,108,
324, 64, 50,248,418,193,273, 86, 36,392, 6,186,310,431,369,217,152,
118,282, 66,323,232, 61,206,420, 88,267,380, 27,182, 16,438,306,221,
362,112,156, 76,281,234,334,190, 63,101,414,382,258,170, 37,434, 12,
228,299,116,366, 70,155,244,292,192,336, 85, 57,395,405,172,268,422,
33,224)( 10,354,314,137,367,343,167,139,283,339,335,127, 52,353,419,
130,262,338, 41,140)( 13,291,297,326,358, 49,164,412,277,255,317, 22,
56, 17,417,298,263,359, 28,161)( 14, 18,312,305,368,364,154,160,286,
276,318,316, 43, 59,416,403,256,254, 23, 35)( 20,144,304,347,377,133,
157,349,293,129,325,337, 62,143,409,340,272,128, 31,350)
( 68,113,240, 82,197,252,103,204,399, 90,183,394,426,180,226,425,117,
219)( 69,176,247,439,201,231, 89,120,387)( 71,239,250,208,210,105,
99,393,384,174,184,436,432,222,215,110,114, 72)( 73,344,251,145,199,
357,104,141,388,342,188,142,430,348,230,131,115,345, 83,134,241,355,
209,147, 94,351,398,132,178,352,440,138,220,341,125,135)
( 75,218,236,124,198, 84, 92,246,397,195,189,100,435,390,216,173,121,
429)( 78,386,237,187,205,441, 96,225,383,111,177, 79,428,243,229,194,
126, 93)(136,346,356,146) ] ],
[ 18, 2610284371992958109269091785113600000000, 0, "4c",
[ [ 400, 1 ], [ 40, 1 ] ], 1, "Alt(21)^2.4", [ "A", 21, 2 ],
[ ( 1,272,354,164,371, 30,300, 21,255,355,162,373, 31,306, 11,260,337,167,
375, 38,308, 9,258,357,150,376, 36,310, 10,264,347,155,358, 41,312,
17,266,345,153,378, 24,313, 15,268,346,159,368, 29,295, 20,270,353,
161,366, 27,315, 3,271,351,163,367, 33,305, 8,253,356,165,374, 35,
303, 6,273,339,166,372, 37,304, 12,263,344,148,377, 39,311, 14,261,
342,168,360, 40,309, 16,262,348,158,365, 22,314, 18,269,350,156,363,
42,297, 19,267,352,157,369, 32,302)( 2,259,338,154,359, 28,296, 7,
254,343,149,364, 23,301)( 4,265,340,160,361, 34,298, 13,256,349,151,
370, 25,307)( 5,257,341,152,362, 26,299)( 43,188,333,143, 77,387,
279,105,213,250, 57,184,325,138, 74,386,274,104,228,248, 56,177,321,
147, 66,397,288,100,220,243, 53,176,316,146, 81,395,287, 93,216,252,
45,187,330,142, 73,390,284, 92,211,251, 60,185,329,135, 69,399,276,
103,225,247, 52,180,326,134, 64,398,291,101,224,240, 48,189,318,145,
78,394,283, 96,221,239)( 44,175,317,133, 65,385,275, 91,212,238)
( 46,181,319,139, 67,391,277, 97,214,244)( 47,173,320,131, 68,383,278,
89,215,236)( 49,170,322,128, 70,380,280, 86,217,233)( 50,169,335,144,
80,392,282, 90,231,234, 61,183,331,136, 75,389,281, 85,230,249, 59,
182,324,132, 84,381,292, 99,226,241, 54,179,323,127, 83,396,290, 98,
219,237, 63,171,334,141, 79,388,285, 95,218,232, 62,186,332,140, 72,
384,294, 87,229,246, 58,178,327,137, 71,379,293,102,227,245, 51,174,
336,129, 82,393,289, 94,222,242)( 55,172,328,130, 76,382,286, 88,223,
235)(106,209,123,206,119,198,111,210,108,208,120,205,115,201,116,197)
(107,196)(109,202)(110,194)(112,191)(113,190,125,207,122,203,114,195,
126,192,124,204,121,199,117,200)(118,193)(400,440,417,437,413,429,
405,441,402,439,414,436,409,432,410,428)(401,427)(403,433)(404,425)
(406,422)(407,421,419,438,416,434,408,426,420,423,418,435,415,430,411,
431)(412,424), ( 1,391, 14,160, 18,328, 7,433, 20,349, 8, 34, 15,
307)( 2,118, 10,223, 12,202, 6,412, 21, 55, 9, 97, 11,139, 4,244,
3,370)( 5, 76, 19,286)( 16,181)( 17,265)( 22,393,308,148,396,329,
154,438,335,343,428, 41,351,302)( 23,120,304,211,390,203,153,417,336,
49,429,104,347,134, 25,246,297,358,380,119,157,228,327,196,426,419,
357, 50, 30, 99,305,127,382,245,150,375,317,112,430,230,348,197, 27,
414,315, 43,387, 98,158,144,319,238,423,377,338,113, 31,225,306,190,
384,413,168, 60,324, 91,431,146,340,239, 24,372,296,106,388,224,159,
207,321,406,441, 62,345, 92, 32,141,298,232,381,371,149,123,325,217,
432,209,342,407, 42, 57,303, 85,389,140,151,249,318,364,422,125,346,
218, 33,204,300,400,399, 56,156,102,326,133,424,251,339,365)
( 26, 78,313,274,383, 77,166,291,320, 70,439,293,341, 71, 40,288,299,
64,397,287,152, 81,334,280,425, 83,355,281)( 28,435,314,337,386, 35,
162,312,316,385,434,167,354,323)( 29, 36,309,295,379,392,161,165,333,
322,427,440,356,344)( 37,183,310,169,394,182,163,186,331,175,436,188,
352,176)( 38,267,311,253,395,266,164,270,332,259,437,272,353,260)
( 39,330,301,421,398,350,155)( 44,114, 94,221,138,193,237,402,378)
( 45,366, 86,116,136,214,243,192,363,401,126, 52,219, 96,200,132,403,
252)( 46,240, 87,368,128,109,241,213,369,191,111,409,231, 54,198, 90,
410,147)( 47, 72,103,284,131, 67,250,276,362, 65,124,283,215, 75,208,
279,404, 84, 61,282, 89, 74,145,277,236, 66,376,275,110, 73,229,285,
194, 69,418,294)( 48,408,105, 53,135, 88,242,129,361,233,108,367,212,
117,199,216,411,210)( 51, 93, 95,137,130,235,234,360,359,107,115,220,
222,201,195,405,420, 63)( 58,177,100,179,142,172,247,171,373,170,121,
178,226,180,205,174,415,189)( 59,261,101,263,143,256,248,255,374,254,
122,262,227,264,206,258,416,273)( 68, 82,292,278)( 79,187,289,173)
( 80,271,290,257)(185,268) ] ],
[ 19, 5220568743985916218538183570227200000000, 0, "4c",
[ [ 400, 1 ], [ 40, 1 ] ], 1, "Sym(21) wreath Sym(2)", [ "A", 21, 2 ],
[ ( 1,169,175,343,356,104,101,311,302, 29, 27,405,415,142,137,389,387,282,
292, 61, 46,151,149,254,266,329,318, 3)( 2,253,182,322,339, 20, 85,
185,301,344, 41, 90,416,310,134, 32,384,408,289,145, 53,382,156,275,
271, 56,319,150)( 4,148,170,259,350,335, 87, 17,295,176, 28,342,419,
100,143,305,386, 30,279,418, 58,130,158,380,261,287,334, 45)
( 5,421,186,217,357,251, 96,206,307,113, 26,426,417,226,147,242,390,
198,286,124, 47,424,165,212,273,245,327,192, 13,106,173,427,354,230,
105,248,306,197, 34,111,404,436,144,221,399,240,285,208, 55,109,152,
422,270,224,336,234, 12,190,181,112,341,440,102,227,315,239, 33,195,
412,121,131,431,396,219,294,250, 54,193,160,107,257,434,333,213, 21,
232,180,196,349,125, 89,437,312,218, 42,237,411,205,139,116,383,429,
291,229, 63,235,159,191,265,119,320,423, 18,211,189,238,348,209, 97,
122,299,428, 39,216,420,247,138,200,391,114,278,439, 60,214,168,233,
264,203,328,108)( 6,400,184,133,347,398, 93,290,313, 50, 25,153,401,
268,140,326,381, 9,274,187, 49,340,167, 86,269,308,323, 24)
( 7,337,188, 91,353,314, 92, 38,300,407, 37,132,410,394,135,284,397,
51,277,166, 44,256,161,317,255, 14,316,171)( 8, 22,174,406,352,146,
95,395,303,281, 40, 48,403,163,128,263,392,324,276, 19, 43,172,154,
338,272, 98,332,297)( 10, 64,183,364,346, 83, 99,374,304, 71, 36,363,
409, 79,141,368,388, 72,288,376, 52, 67,162,359,262, 77,330,360)
( 11,379,177,280,355, 62, 88,164,296,260, 35,321,402, 16,127,179,385,
345,293,103, 59,298,155, 23,258,413,331,129)( 15,358,178, 70,351,377,
94, 80,309,365, 31, 69,414,373,136, 74,393,366,283, 82, 57,361,157,
65,267,371,325, 66)( 68,435,375,220, 84,246,369,199, 76,120,362,430,
81,225,378,241, 75,204,370,115)( 73, 78,372,367)(110,425,438,228,231,
252,243,201,202,118)(117,194,433,123,215,441,249,222,210,244)
(126,236,432,207,223),
( 1,212,309, 71,431,144,259,392,366,325,108,105,290,355, 62, 4,191,
307,155,421,228,267, 77,368,136,112,399,282,334, 45, 88,206,349,167)
( 2,296,302,428,438,270,266,371,367,115,126,294,292, 61, 46,193,202,
160,148,211,225, 78, 74,137,133,385,387,324,318, 87,101,353,356, 20)
( 3, 86,311,344,440, 18,254,308,365,430,123,273,287,376, 52,109,210,
286,166, 43,214,204, 76,158,127,217,393, 72,326,129, 91,395,345,335)
( 5,401,310,176,425,417,268,182,362,409,121,189,278,418, 58,172,194,
412,163,169,215,414, 79,179,131,406,394,177,320,402,100,185,341,419,
16,170,299,407,436,186,257,413,373,178,110,420,289,187, 47,403,205,
181,152,400,226,183, 68,410,142,175,383,408,331,171, 89,416,352,188)
( 6, 23,300, 29,426, 39,258, 35,363, 31,111, 42,279, 40, 48, 25,195,
34,153, 22,216, 36, 69, 32,132, 28,384, 30,321, 24, 90, 38,342, 41)
( 7,380,303,323,423,102,269,350,377, 10,107,315,281,439, 60,256,203,
370,157,106,231,288, 82, 53,130,196,391,156,316,213, 99, 80,347,146)
( 8,422,312,260,434,375,262,119,378,283,124, 63,277,208, 55,151,190,
223,162, 64,221,141, 70,389,135,322,381, 93,332,339,104, 17,338,314)
( 9,317,297, 92,437,354,272, 14,359,304,113,441,291,271, 56,361,199,
118,168,274,229, 57, 67,200,139,154,379,219,330, 66, 95,143,343,398)
( 11,128,301,386,429,333,255, 98,374,346,125, 21,275,313, 50,424,207,
265,161,358,220,120, 84,284,145, 49,382,198,328,150, 85,227,351, 83)
( 12,233,306,239,432,249,264,245,369,241,117,252,285,250, 54,235,201,
244,159,232,222,246, 75,242,138,238,390,240,327,234, 96,248,348,251)
( 13,149,295,218,435, 81,263,140,364,388,114,336,276,103, 59,340,209)
( 15, 65,305,134,427,396,261,329,360, 94,122,357,293, 19, 44,298,197,
433,165,253,224,372, 73,116,147,280,397, 51,319,192, 97,164,337,230)
( 26,405, 37,174)( 33,237)(173,404,415,184)(180,236,411,247) ] ],
[20, Factorial(441)/2,1,"2",[[440,1]],439, "Alt(441)", ["A",441, 1], "Alt"],
[21, Factorial(441),0,"2",[[440, 1]],441, "Sym(441)", ["A",441, 1], "Sym"],
[ 22, 112896, 0, "4c",
[ [ 8, 3 ], [ 128, 1 ], [ 64, 2 ], [ 32, 4 ], [ 16, 2 ] ], 1,
"PSL(2, 7)^2.2^2", [ "L", [ 2, 7 ], 2 ],
[ ( 1, 91,428,349, 3,301,429,391)( 2,322,422,328)( 4,280,441,370, 5,
175,440,118)( 6,133,439,244)( 7,427,433, 13)( 8,343,423,307, 9,
385,421, 97)( 10, 49,431,265, 14,406,435, 34)( 11,259,434,412, 15,
28,430, 55)( 12,217,437,202, 16,154,438, 76)( 17,196,436,160, 18,
70,432,223)( 19,238,426,139)( 20,112,424,286, 21,364,425,181)
( 22, 94, 50,347,255,308,408,393)( 23,325, 44,326,254,329,401,330)
( 24,304, 51,389,253, 98,407,351)( 25,283, 63,368,257,182,419,120)
( 26,178, 62,116,256,287,420,372)( 27,136, 61,242,258,140,418,246)
( 29,346, 45,305,261,392,400, 99)( 30,388, 43, 95,260,350,402,309)
( 31, 52, 53,263,266,413,414, 36)( 32,262, 56,410,267, 35,409, 57)
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( 40,241, 48,137,271,245,405,141)( 41,115, 46,284,273,371,404,183)
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( 65,327,212,332,191,331,149,333)( 66,306,219,395,190,100,155,354)
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(109,277,294,378,362,173,188,125)(110,172,293,126,361,278,189,377)
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[ 23, 112896, 0, "4c",
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