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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418346PRIMGRP[151]:=
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( 92,170)( 97,175,134,197)(102,141,176,190)(103,177,158,155)
(108,156,163,145)(112,181)(118,161,165,174)(130,188,191,173)
(132,169,192,140)(187,207,203,204)(200,206) ] ],
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[5, Factorial(208),0,"2",[[207, 1]],208, "Sym(208)", ["A",208, 1], "Sym"]];
PRIMGRP[209]:=
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PRIMGRP[210]:=
[[ 1, 1814400, 1, "2", [ [ 24, 1 ], [ 90, 1 ], [ 80, 1 ], [ 15, 1 ] ], 1,
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50,190,109,159, 25,110,178, 69,137, 7, 11)( 5,127, 62, 95,149,180,
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( 6,157, 89, 23, 9, 80, 29,145,161, 61, 93,148, 24, 17,154,173, 48,
87,158, 38,132)( 8,101,144,174,104,164,168)( 12, 54, 47,135,193,
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( 13,143,130,177,129,187,103)( 14,139,138,142,133,147,140)
( 18, 74,202,106, 94, 33,206,182, 97,196, 26,120, 19,200, 32, 75,203,
84, 96,191,209)( 20, 82,160,121, 59,165,162)( 31,153,167, 44,119,
179,116)( 35, 49,207,188, 78,195,201)( 40, 83,150, 72, 91, 58, 41,
136,100,171, 71,113, 56, 60,156, 53, 81, 67,197, 77, 43),
( 1,187, 72, 83, 80,184, 61,145)( 2, 24,146,103, 5,107,157,207)
( 3,105,148,181, 49,136, 43, 29)( 4, 41,106,121, 56,122, 16,188)
( 6, 82,179,114, 81,202, 27, 62)( 7,143, 9, 22, 33,195,156,151)
( 8, 55,110,130, 23,140, 88, 87)( 10, 91,161,203,100,104,141,101)
( 11,113,147, 54, 98,116,182, 89)( 12, 25, 78,132,172, 26,134,176)
( 13, 15, 63, 99)( 14,115, 70, 68,185, 76,129,144)( 17, 75)
( 18, 44, 94, 90,167,197,123, 38)( 19, 40,135,142,158,117, 97, 47)
( 20,171,209,102,189,126,205,128)( 21,191,201,111,186,163,124, 77)
( 28, 42,169,109,174,183, 66, 60)( 30,180, 53,210,160, 34,118,204)
( 31,152, 64,149,190,150,194, 96)( 32, 86,193,206,133, 36,165, 69)
( 35,112,159, 45,168, 52,175, 92)( 37,199,164, 50, 95, 79,170, 67)
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200,154,138,178)( 51, 59, 65,119,162, 93,108, 73)( 58,177, 74, 84,
127,198, 85,131) ] ],
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51, 66, 82,102,126)( 16, 23, 33, 45, 60, 76, 97,119,127,146)
( 18, 25, 36, 46, 61, 77, 59, 75, 95,116)( 20, 28, 40, 54, 70, 89,109,
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( 30, 42, 56, 73, 67, 84,104, 96,118,139)( 32, 44, 58, 37, 50)
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(154,168,179,187,192,198,203,207,209,210),
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( 22, 32)( 23, 34)( 25, 37)( 33, 46)( 35, 49)( 39, 53)( 42, 57)
( 44, 59)( 48, 63)( 50, 65)( 51, 67)( 55, 72)( 61, 76)( 66, 83)
( 68, 86)( 69, 88)( 70, 71)( 73, 92)( 74, 94)( 75, 96)( 79, 99)
( 85,100)( 87,107)( 89,110)( 93,114)( 95,117)( 97,120)( 98,122)
(101,119)(102,127)(103,129)(116,130)(121,133)(124,145)(128,148)
(134,154)(139,144)(141,158)(143,153)(146,163)(159,172)(160,174)
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183, 81, 87,197,149,180,108,144, 82,157,154,147,202, 9,148,207,172,
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116,110, 57, 7)( 5,177,198, 21, 27, 39, 31, 67,130, 15,178, 73,168,
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115,162,132,140, 98, 19,159, 22, 52, 13, 44, 61, 58)( 11,155,161,128,
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133,117, 47, 29,182, 45, 86)( 36, 43,209,137)( 97,181,199,143)
(111,126)(112,134,165,170), ( 1,170,200,164,198, 54, 27, 89, 92)
( 2,101,138, 86, 41,205, 49, 51,185)( 3, 91,100, 68, 5,167,123, 59,
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134,165,119)( 9,126, 16,142,195, 80,191, 71,172)( 10,129, 37,162,
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74, 83, 92,102,112,123,122)( 9, 12, 15, 19, 23, 28, 33, 39, 45, 52,
59, 67, 75, 84, 93,103,113,124,134,133,144)( 16, 20, 24, 29, 34, 40,
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( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,115,126,136,147,157,
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148,158,169,168,178,188,195,201)( 49, 56, 63, 71, 79, 88, 97,107,117,
128,138,149,159,170,180,179,189,196,202,206,209)( 64, 72, 80, 89, 98,
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( 81, 90, 99,109,119,130,140,151,161,172,182,190,143,154,164,175,185,
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142,153,163,174,184,192,198,203),
( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
( 90,100)(110,121)(111,122)(123,133)(132,143)(134,145)(146,156)
(154,165)(157,168)(169,179)(176,180) ] ],
[5, Factorial(210)/2,1,"2",[[209,1]],208, "Alt(210)", ["A",210, 1], "Alt"],
[6, Factorial(210),0,"2",[[209, 1]],210, "Sym(210)", ["A",210, 1], "Sym"]];
PRIMGRP[211]:=
[[ 1, 211, 3, "1", [ [ 1, 210 ] ], 1, "C(211)", [ "Z", 211, 1 ], [ ] ],
[ 2, 422, 2, "1", [ [ 2, 105 ] ], 1, "D(2*211)", [ "Z", 211, 1 ],
[ [ [ Z(211)^105 ] ] ] ],
[ 3, 633, 2, "1", [ [ 3, 70 ] ], 1, "211:3", [ "Z", 211, 1 ],
[ [ [ Z(211)^70 ] ] ] ],
[ 4, 1055, 2, "1", [ [ 5, 42 ] ], 1, "211:5", [ "Z", 211, 1 ],
[ [ [ Z(211)^42 ] ] ] ],
[ 5, 1266, 2, "1", [ [ 6, 35 ] ], 1, "211:6", [ "Z", 211, 1 ],
[ [ [ Z(211)^35 ] ] ] ],
[ 6, 1477, 2, "1", [ [ 7, 30 ] ], 1, "211:7", [ "Z", 211, 1 ],
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[ 7, 2110, 2, "1", [ [ 10, 21 ] ], 1, "211:10", [ "Z", 211, 1 ],
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[ 8, 2954, 2, "1", [ [ 14, 15 ] ], 1, "211:14", [ "Z", 211, 1 ],
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[ 9, 3165, 2, "1", [ [ 15, 14 ] ], 1, "211:15", [ "Z", 211, 1 ],
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[ 10, 4431, 2, "1", [ [ 21, 10 ] ], 1, "211:21", [ "Z", 211, 1 ],
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[ 11, 6330, 2, "1", [ [ 30, 7 ] ], 1, "211:30", [ "Z", 211, 1 ],
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[ 12, 7385, 2, "1", [ [ 35, 6 ] ], 1, "211:35", [ "Z", 211, 1 ],
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[ 13, 8862, 2, "1", [ [ 42, 5 ] ], 1, "211:42", [ "Z", 211, 1 ],
[ [ [ Z(211)^5 ] ] ] ],
[ 14, 14770, 2, "1", [ [ 70, 3 ] ], 1, "211:70", [ "Z", 211, 1 ],
[ [ [ Z(211)^3 ] ] ] ],
[ 15, 22155, 2, "1", [ [ 105, 2 ] ], 1, "211:105", [ "Z", 211, 1 ],
[ [ [ Z(211)^2 ] ] ] ],
[ 16, 44310, 2, "1", [ [ 210, 1 ] ], 2, "AGL(1, 211)", [ "Z", 211, 1 ],
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[17, Factorial(211)/2,1,"2",[[210,1]],209, "Alt(211)", ["A",211, 1], "Alt"],
[18, Factorial(211),0,"2",[[210, 1]],211, "Sym(211)", ["A",211, 1], "Sym"]];
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[4, Factorial(212),0,"2",[[211, 1]],212, "Sym(212)", ["A",212, 1], "Sym"]];
PRIMGRP[213]:=
[[1, Factorial(213)/2,1,"2",[[212,1]],211, "Alt(213)", ["A",213, 1], "Alt"],
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PRIMGRP[214]:=
[[1, Factorial(214)/2,1,"2",[[213,1]],212, "Alt(214)", ["A",214, 1], "Alt"],
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PRIMGRP[215]:=
[[1, Factorial(215)/2,1,"2",[[214,1]],213, "Alt(215)", ["A",215, 1], "Alt"],
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PRIMGRP[216]:=
[[ 1, 139968000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
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155,135)( 7,125,102, 19,197, 98)( 8,119,138, 24,203,206)
( 9,113, 66, 22,215,170)( 10,143,174, 21,185, 62)( 11,137, 30, 23,
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( 38, 46,142,180,165,183)( 39, 40, 70,178,177,147)( 42, 58,214,176,
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( 45,112, 72,166,213,146)( 48,130,216,164,189,110)( 49, 88,103,157,
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( 54, 94,211,158, 81,109)( 55,196,104,151,123, 78)( 56,190,140,156,
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( 79,121, 90, 91,193, 86)( 80,115,126, 96,199,194)( 84,127,198, 92,
187,122)(116,120,132,204,200,188)(128,192),
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162)( 4,155,186, 29,190,174)( 5,191,210, 28,154,150)
( 6, 11,192, 30, 10,156)( 7, 84, 36)( 8, 48, 18, 9,120, 24)
( 13, 81,144, 19, 80, 72)( 14, 45,126, 21,116, 60)( 15,117,132, 20,
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( 31, 79,108)( 32, 43, 90, 33,115, 96)( 34,151, 78, 35,187,102)
( 37, 89,213,133, 94,176)( 38, 53,195,135,130,164)( 39,125,201,134,
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( 49, 87,141,127, 92, 68)( 50, 51,123,129,128, 56)( 52,159,111,131,
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( 61, 88,177,109, 95,212)( 64,160,147,113,203,206)( 65,196,171,112,
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( 71,193, 99,142,163, 74)( 73,107,211, 97,106,175)( 76,179,181,101,
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( 4,150,153, 99,136,109,163, 57, 62,122, 13, 24, 48, 80, 88)
( 5,180,189,101,142,181,167, 69,206,125, 31,204, 47,104,196)
( 6,156, 81,100,112,145,165, 63,134,121, 19, 60, 44, 86, 16)
( 8, 90, 10, 78,154, 75,172,111,169,129, 61,128, 49, 20, 54)
( 11,108,190, 77,178,183,173,141,205,131, 67,200, 53, 32,198)
( 12, 84, 82, 76,148,147,171,135,133,127, 55, 56, 50, 14, 18)
( 15, 30,120, 79, 94, 40,146,159, 27,138,115, 91, 58, 38,158)
( 17, 36,192, 83,106,184,149,177,207,137,139,199, 59, 68,194)
( 21, 66,116, 85, 22, 42,152, 87, 28,114,151, 93, 64,110,157)
( 23, 72,188, 89, 34,186,155,105,208,113,175,201, 65,140,193)
( 29,144,187, 95, 70,182,161, 33,210,119,103,202, 41,176,195)
( 35,216,191,107,214,185,179,213,209,143,211,203, 71,212,197),
( 1, 54,127, 40, 24,124)( 2,198,115, 38,204,118)( 3, 90,133, 39, 96,
136)( 4, 18,121, 37, 60,130)( 5,162,139, 41,168,142)
( 6,126,109, 42,132,112)( 7, 50,199, 46, 20,196)( 8,194,187, 44,
200,190)( 9, 86,205, 45, 92,208)( 10, 14,193, 43, 56,202)
( 11,158,211, 47,164,214)( 12,122,181, 48,128,184)( 13, 49, 55, 58,
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( 21, 88, 25, 51, 91, 64)( 23,160, 31, 53,163, 70)( 26,195, 79, 62,
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( 30,123, 73, 66,129, 76)( 32,197,151, 68,203,154)( 33, 89,169, 69,
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( 74,210,117)( 75,102,135)( 77,174,141)( 78,138,111)( 80,206,189)
( 81, 98,207)( 83,170,213)( 84,134,183)(101,171,105)(104,209,153)
(107,173,177)(108,137,147)(110,186,120)(113,150,144)(116,182,192)
(119,146,216)(140,185,156)(143,149,180)(152,212,191)(155,176,215) ] ],
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111,214)( 2,154, 77,124,182, 10,149, 88,110,190, 5,160, 74,118,185,
16,146, 82,113,196)( 4,148, 76,112,184)( 6,166, 78,130,186, 22,150,
94,114,202)( 7,173, 87,140,187, 29,159,104,115,209, 15,176, 79,137,
195, 32,151,101,123,212)( 8,155, 89,122,188, 11,161, 86,116,191, 17,
158, 80,119,197, 14,152, 83,125,194)( 9,179, 85,134,189, 35,157, 98,
117,215, 13,170, 81,143,193, 26,153,107,121,206)( 12,167, 90,128,192,
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( 19,174, 93,144,199, 30,165,108,127,210, 21,180, 91,138,201, 36,163,
102,129,216)( 24,168, 96,132,204)( 25,171,105,139,205, 27,177,103,
133,207, 33,175, 97,135,213, 31,169, 99,141,211)( 37, 64, 39, 70)
( 38, 46, 41, 52)( 42, 58)( 43, 65, 51, 68)( 44, 47, 53, 50)
( 45, 71, 49, 62)( 48, 59, 54, 56)( 55, 66, 57, 72)( 61, 63, 69, 67),
( 1, 72, 9,178, 19,144, 27,106, 13,216, 3, 70, 7,180, 21,142, 25,
108, 15,214)( 2, 71, 8,179, 20,143, 26,107, 14,215)
( 4, 67, 12,177, 22,139, 30,105, 16,211, 6, 69, 10,175, 24,141, 28,
103, 18,213)( 5, 68, 11,176, 23,140, 29,104, 17,212)( 31, 36, 33, 34
)( 32, 35)( 37, 48,153,166,127,138, 99, 88,193,186, 39, 46,151,168,
129,136, 97, 90,195,184)( 38, 47,152,167,128,137, 98, 89,194,185)
( 40, 43,156,165,130,133,102, 87,196,181, 42, 45,154,163,132,135,100,
85,198,183)( 41, 44,155,164,131,134,101, 86,197,182)
( 49,192,147, 58,115,174, 93,124,205, 78, 51,190,145, 60,117,172, 91,
126,207, 76)( 50,191,146, 59,116,173, 92,125,206, 77)
( 52,187,150, 57,118,169, 96,123,208, 73, 54,189,148, 55,120,171, 94,
121,210, 75)( 53,188,149, 56,119,170, 95,122,209, 74)
( 61, 84,159,202,109, 66, 81,160,199,114, 63, 82,157,204,111, 64, 79,
162,201,112)( 62, 83,158,203,110, 65, 80,161,200,113) ] ],
[ 4, 279936000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
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[ ( 1,119,201, 88, 37,155, 21,124,181, 83, 57,160)( 2,137,200,100, 38,173,
20,136,182,101, 56,172)( 3,125,199, 82, 39,161, 19,118,183, 89, 55,
154)( 4,113,203, 94, 40,149, 23,130,184, 77, 59,166)
( 5,131,202, 76, 41,167, 22,112,185, 95, 58,148)( 6,143,204,106, 42,
179, 24,142,186,107, 60,178)( 7,117,195, 85, 43,153, 15,121,187, 81,
51,157)( 8,135,194, 97, 44,171, 14,133,188, 99, 50,169)
( 9,123,193, 79, 45,159, 13,115,189, 87, 49,151)( 10,111,197, 91, 46,
147, 17,127,190, 75, 53,163)( 11,129,196, 73, 47,165, 16,109,191, 93,
52,145)( 12,141,198,103, 48,177, 18,139,192,105, 54,175)
( 25,116,207, 86, 61,152, 27,122,205, 80, 63,158)( 26,134,206, 98, 62,
170)( 28,110,209, 92, 64,146, 29,128,208, 74, 65,164)
( 30,140,210,104, 66,176)( 31,120,213, 90, 67,156, 33,126,211, 84, 69,
162)( 32,138,212,102, 68,174)( 34,114,215, 96, 70,150, 35,132,214,
78, 71,168)( 36,144,216,108, 72,180),
( 1,193,212, 38, 52, 34)( 2, 49,214)( 3,157,215, 74, 54,142)
( 4, 13,211,182, 50, 70)( 5, 85,216,110, 51,178)( 6,121,213,146,
53,106)( 7,187,188, 44, 46, 10)( 8, 43,190)( 9,151,191, 80, 48,
118)( 11, 79,192,116, 45,154)( 12,115,189,152, 47, 82)( 14, 67,184)
( 15,175,185, 86, 72,112)( 16, 31,181,194, 68, 40)( 17,103,186,122,
69,148)( 18,139,183,158, 71, 76)( 19,205,200, 62, 58, 28)
( 20, 61,202, 26, 55,208)( 21,169,203, 98, 60,136)( 22, 25,199,206,
56, 64)( 23, 97,204,134, 57,172)( 24,133,201,170, 59,100)
( 27,163,209, 92, 66,130)( 29, 91,210,128, 63,166)( 30,127,207,164,
65, 94)( 32, 37,196)( 33,145,197,104, 42,124)( 35, 73,198,140, 39,
160)( 36,109,195,176, 41, 88)( 75,162,143)( 77, 90,144,111,159,179)
( 78,126,141,147,161,107)( 81,156,119)( 83, 84,120,117,153,155)
( 87,180,113)( 89,108,114,123,177,149)( 93,174,131, 99,168,137)
( 95,102,132,135,165,173)( 96,138,129,171,167,101)(105,150,125) ] ],
[ 5, 559872000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
"Alt(6)^3.Alt(4)", [ "A", 6, 3 ],
[ ( 1,141, 88,170, 5,213, 82,169,113,195, 80, 25,143,196,152)
( 2, 33,106,172,149,183, 81, 97,137,197,188, 7,139,124,158)
( 3,105,100,173,185,189, 79,133,125,194, 8, 31,142,160,146)
( 4,177, 76,171, 77,207, 83,205,119,193,116, 13,140, 16,176)
( 6, 69, 94,174, 41,201, 84, 61,131,198, 44, 19,144, 52,164)
( 9,103,136,161,182)( 10,175,112,159, 74, 27,107,208,155,181,117, 85,
134, 17,212)( 11,211,118,157,110, 15,104, 28,179,184,153, 73,135, 89,
206)( 12, 67,130,162, 38, 21,108, 64,167,186, 45, 91,138, 53,200)
( 14, 32, 34,178,148,147, 75, 99,101,209,191,187,115,121,122)
( 18, 68, 22,180, 40,165, 78, 63, 95,210, 47,199,120, 49,128)
( 20, 36, 70,166,150, 39, 93,102, 65,203,192, 43,127,126, 50)
( 23,216, 46,163,114, 51, 92, 30, 71,202,156, 37,129, 90, 62)
( 24, 72, 58,168, 42, 57, 96, 66, 59,204, 48, 55,132, 54, 56)
( 26, 35,214,154,145,111, 87, 98, 29,215,190,151,109,123, 86),
( 1,104,209,126, 40, 93, 11,158, 61,141,190,168)( 2, 98,137,124, 58,
21, 8,170,133,142,202, 24)( 3, 80,173,121, 70,201, 12,146, 97,143,
196, 60)( 4, 92, 29,122, 64,129, 10,164, 25,140,208,132)
( 5, 86, 65,123, 46,165, 7,176,205,144,184, 96)( 6, 74,101,125, 52,
57, 9,152,169,139,214,204)( 13, 68,207,120,148, 91, 35,194, 66,111,
82,167)( 14, 62,135,118,166, 19, 32,206,138,112, 94, 23)
( 15, 44,171,115,178,199, 36,182,102,113, 88, 59)( 16, 56, 27,116,172,
127, 34,200, 30,110,100,131)( 17, 50, 63,117,154,163, 31,212,210,114,
76, 95)( 18, 38, 99,119,160, 55, 33,188,174,109,106,203)
( 20, 26,134,136,130, 22)( 28,128)( 37,105,191,162)( 39, 81,155,157,
67,213,192,150, 73,107,197, 54)( 41, 87, 47,159, 43,177,187,180,181,
108,185, 90)( 42, 75, 83,161, 49, 69,189,156,145,103,215,198)
( 45,153,151,175,211,216,186, 78, 77, 89, 53, 51)( 48,147, 79,179,193,
72,183, 84,149, 85, 71,195) ] ],
[ 6, 559872000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
"Alt(6)^3.D_12", [ "A", 6, 3 ],
[ ( 1,170, 18,149, 32,160, 23,175, 28,168)( 2,158, 17,179, 34,166, 19,169,
30,150)( 3,152, 15,155, 33,154, 21,151, 27,156)( 4,164, 13,173, 36,
148, 20,157, 29,180)( 5,176, 16,167, 31,172, 24,145, 26,162)
( 6,146, 14,161, 35,178, 22,163, 25,174)( 7,171, 12,147, 8,159, 11,
177, 10,165)( 9,153)( 37,206,126, 41,212,124, 59,211,136, 60,181,
134, 54,185,140, 52,203,139, 64,204,109, 62,198,113, 68,196,131, 67,
208,132)( 38,194,125, 71,214,130, 55,205,138, 42,182,122, 53,215,142,
58,199,133, 66,186,110, 50,197,143, 70,202,127, 61,210,114)
( 39,188,123, 47,213,118, 57,187,135, 48,183,116, 51,191,141, 46,201,
115, 63,192,111, 44,195,119, 69,190,129, 43,207,120)( 40,200,121, 65,
216,112, 56,193,137, 72,184,128, 49,209,144)( 45,189,117)
( 73, 98, 90, 77,104, 88, 95,103,100, 96)( 74, 86, 89,107,106, 94, 91,
97,102, 78)( 75, 80, 87, 83,105, 82, 93, 79, 99, 84)( 76, 92, 85,101,
108), ( 1, 32,110,144,186,214, 76,107,149,175)( 2,140,114,216,184,
106, 77,179,145, 31)( 3, 68,111, 72,183, 70, 75, 71,147, 67)
( 4,104,113,180,181, 34, 74,143,150,211)( 5,176,109, 36,182,142, 78,
215,148,103)( 6,212,112,108,185,178, 73, 35,146,139)
( 7, 20,134,126,192,202,100, 89,155,163, 25, 14,116,132,210,196, 82,
95,173,157)( 8,128,138,198,190, 94,101,161,151, 19, 26,122,120,204,
208, 88, 83,167,169, 13)( 9, 56,135, 54,189, 58, 99, 53,153, 55, 27,
50,117, 60,207, 52, 81, 59,171, 49)( 10, 92,137,162,187, 22, 98,125,
156,199, 28, 86,119,168,205, 16, 80,131,174,193)( 11,164,133, 18,188,
130,102,197,154, 91, 29,158,115, 24,206,124, 84,203,172, 85)
( 12,200,136, 90,191,166, 97, 17,152,127, 30,194,118, 96,209,160, 79,
23,170,121)( 15, 44,129, 66,195, 46, 93, 65,159, 43, 21, 62,123, 48,
201, 64, 87, 47,165, 61)( 33, 38,141, 42,213, 40,105, 41,177, 37)
( 39, 69)( 45, 57, 63, 51) ] ],
[ 7, 1119744000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
"Sym(6) wreath 3", [ "A", 6, 3 ],
[ ( 1,104,198,145, 68, 18, 73,212,162, 37, 32, 90,181,176, 54)
( 2,108,193,146, 72, 13, 74,216,157, 38, 36, 85,182,180, 49)
( 3,107,196,147, 71, 16, 75,215,160, 39, 35, 88,183,179, 52)
( 4,105,197,148, 69, 17, 76,213,161, 40, 33, 89,184,177, 53)
( 5,106,195,149, 70, 15, 77,214,159, 41, 34, 87,185,178, 51)
( 6,103,194,150, 67, 14, 78,211,158, 42, 31, 86,186,175, 50)
( 7, 80,192,151, 44, 12, 79,188,156, 43, 8, 84,187,152, 48)
( 9, 83,190,153, 47, 10, 81,191,154, 45, 11, 82,189,155, 46)
( 19, 98,204,169, 56, 30, 91,206,168, 61, 20,102,199,170, 60, 25, 92,
210,163, 62, 24, 97,200,174, 55, 26, 96,205,164, 66)( 21,101,202,171,
59, 28, 93,209,166, 63, 23,100,201,173, 58, 27, 95,208,165, 65, 22,
99,203,172, 57, 29, 94,207,167, 64)(109,140,126)(110,144,121)
(111,143,124)(112,141,125)(113,142,123)(114,139,122)(115,116,120)
(117,119,118)(127,134,132,133,128,138)(129,137,130,135,131,136),
( 1, 35,142, 88, 81,152,206,199, 24, 72, 40, 77,119,122,195,165,174, 61
)( 2,215,130, 90, 45,146,209,127, 18, 69,148,101,115, 14,213,166,
102, 43)( 3,179,136, 85, 9,176,208, 91, 12, 68,184, 95,120, 50,183,
167,138, 49)( 4,107,118, 86,189,164,210, 55, 6, 71,112, 89,117,158,
207,163, 30, 67)( 5,143,124, 87,153,170,205, 19, 36, 70, 76, 83,116,
194,201,168, 66, 37)( 7, 32,214, 94, 84, 44,182,203,132, 54, 39,149,
137,121, 15,177,172, 97)( 8,212,202, 96, 48, 38,185,131,126, 51,147,
173,133, 13, 33,178,100, 79)( 10,104,190, 92,192, 56,186, 59,114, 53,
111,161,135,157, 27,175, 28,103)( 11,140,196, 93,156, 62,181, 23,144,
52, 75,155,134,193, 21,180, 64, 73)( 16,105,154, 98,187, 20,216, 58,
78, 47,110,197,129,162, 63,145, 29,139)( 17,141,160, 99,151, 26,211,
22,108, 46, 74,191,128,198, 57,150, 65,109)( 25, 31, 34,106, 82, 80,
188,200,204, 60, 42, 41,113,125,123,159,171,169) ] ],
[ 8, 1119744000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
"Alt(6)^3.Sym(4)", [ "A", 6, 3 ],
[ ( 1,129,216, 2,123,108, 5,117,180)( 3,141, 36)( 4,135, 72)
( 6,111,144)( 7,165,211, 20,195,104, 17, 81,179)( 8,159,103, 23,
189,176, 13, 93,215)( 9,177, 31, 21,213, 32, 15,105, 35)
( 10,171, 67, 22,207, 68, 16, 99, 71)( 11,153,175, 19,201,212, 14, 87,
107)( 12,147,139, 24,183,140, 18, 75,143)( 25, 57,214, 26, 51,106,
29, 45,178)( 27, 69, 34)( 28, 63, 70)( 30, 39,142)( 37,130,210, 38,
124,102, 41,118,174)( 40,136, 66)( 42,112,138)( 43,166,205, 56,196,
98, 53, 82,173)( 44,160, 97, 59,190,170, 49, 94,209)
( 46,172, 61, 58,208, 62, 52,100, 65)( 47,154,169, 55,202,206, 50, 88,
101)( 48,148,133, 60,184,134, 54, 76,137)( 73,131,192,146,121, 96,
185,116,162)( 74,125, 84,149,115,168,181,128,198)( 77,119,156,145,
127,204,182,122, 90)( 78,113,120,150,109,132,186,110,126)
( 79,167,187,164,193, 92,197, 80,161)( 83,155,151,163,199,200,194, 86,
89)( 85, 95,191,152,157, 91,203,188,158),
( 1, 67, 39,141,114,180,146,212,184,106, 77, 35)( 2,211, 40,105,113,
36,145, 68,183,142, 78,179)( 3,139, 42,177,110,216,148,104,185, 34,
73, 71)( 4,103, 41, 33,109, 72,147,140,186,178, 74,215)
( 5, 31, 37, 69,111,144,150,176,182,214, 76,107)( 6,175, 38,213,112,
108,149, 32,181, 70, 75,143)( 7, 61, 45,135,120,174,152,206,190,100,
83, 29)( 8,205, 46, 99,119, 30,151, 62,189,136, 84,173)
( 9,133, 48,171,116,210,154, 98,191, 28, 79, 65)( 10, 97, 47, 27,115,
66,153,134,192,172, 80,209)( 11, 25, 43, 63,117,138,156,170,188,208,
82,101)( 12,169, 44,207,118,102,155, 26,187, 64, 81,137)
( 13, 55, 51,129,126,168,158,200,196, 94, 89, 23)( 14,199, 52, 93,125,
24,157, 56,195,130, 90,167)( 15,127, 54,165,122,204,160, 92,197, 22,
85, 59)( 16, 91, 53, 21,121, 60,159,128,198,166, 86,203)
( 17, 19, 49, 57,123,132,162,164,194,202, 88, 95)( 18,163, 50,201,124,
96,161, 20,193, 58, 87,131) ] ],
[ 9, 1119744000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
"Alt(6)^3.Sym(4)", [ "A", 6, 3 ],
[ ( 1,112,100, 91,128,170,175,143, 65, 49,126,210,187,117, 27)
( 2,148,106, 95, 56,158,180,215, 47, 51, 18,186,190, 81, 21)
( 3, 4, 76, 94, 92,164,176,179, 71, 53, 54,198,192,189, 9)
( 5, 40, 88, 96,200,152,177, 35, 41, 52, 90,204,188,153, 33)
( 6,184, 82, 93, 20,146,178,107, 59, 50,162,216,191, 45, 15)
( 7,111, 28, 73,130, 98,163,140,173, 67,125, 66,193,120,207)
( 8,147, 34, 77, 58, 86,168,212,155, 69, 17, 42,196, 84,201)
( 10, 75, 22, 74,166,104,167, 68,161, 72,197, 48,195, 12,183)
( 11, 39, 16, 78,202, 80,165, 32,149, 70, 89, 60,194,156,213)
( 13,114,208, 79,129, 26,145,142,101, 55,122,174,211,119, 63)
( 14,150,214, 83, 57)( 19,110,172,103,131, 62,157,144,209, 43,123, 30,
181,118, 99)( 23, 38,160,108,203, 44,159, 36,185, 46, 87, 24,182,154,
105)( 25,109,136, 97,127,134,169,139,137, 61,121,138,205,115,135)
( 29, 37,124,102,199,116,171, 31,113, 64, 85,132,206,151,141),
( 1,168,187, 78,175, 12, 91,216)( 2,167,190, 75,176, 11, 94,213)
( 3,164,191, 76,177, 8, 95,214)( 4,165,188, 77,178, 9, 92,215)
( 5,166,189, 74,179, 10, 93,212)( 6,163,192, 73,180, 7, 96,211)
( 13,132,193,114,157,120, 85,144)( 14,131,196,111,158,119, 88,141)
( 15,128,197,112,159,116, 89,142)( 16,129,194,113,160,117, 86,143)
( 17,130,195,110,161,118, 87,140)( 18,127,198,109,162,115, 90,139)
( 19,204,181,150,151, 84,103, 36)( 20,203,184,147,152, 83,106, 33)
( 21,200,185,148,153, 80,107, 34)( 22,201,182,149,154, 81,104, 35)
( 23,202,183,146,155, 82,105, 32)( 24,199,186,145,156, 79,108, 31)
( 25, 60,205, 42,169, 48, 97, 72)( 26, 59,208, 39,170, 47,100, 69)
( 27, 56,209, 40,171, 44,101, 70)( 28, 57,206, 41,172, 45, 98, 71)
( 29, 58,207, 38,173, 46, 99, 68)( 30, 55,210, 37,174, 43,102, 67)
( 49,138)( 50,137, 52,135)( 51,134, 53,136)( 54,133)( 61, 66)
( 62, 65, 64, 63)(121,126)(122,125,124,123) ] ],
[ 10, 2239488000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
"Sym(6) wreath Sym(3)", [ "A", 6, 3 ],
[ ( 1, 26, 12, 23, 34, 15)( 2, 8, 11, 35, 33, 3)( 4, 14, 7, 29, 36, 21
)( 5, 32, 9)( 6, 20, 10, 17, 31, 27)( 13, 25, 30, 24, 22, 16)
( 18, 19, 28)( 37, 62, 48, 59, 70, 51)( 38, 44, 47, 71, 69, 39)
( 40, 50, 43, 65, 72, 57)( 41, 68, 45)( 42, 56, 46, 53, 67, 63)
( 49, 61, 66, 60, 58, 52)( 54, 55, 64)( 73,170,192,131,106,159,181,
134, 84,167,214,123)( 74,152,191,143,105,147,182,116, 83,179,213,111)
( 75,146,188,119,107,177,183,110, 80,155,215,141)( 76,158,187,137,108,
165,184,122, 79,173,216,129)( 77,176,189,113,104,153,185,140, 81,149,
212,117)( 78,164,190,125,103,171,186,128, 82,161,211,135)
( 85,169,210,132, 94,160,193,133,102,168,202,124)( 86,151,209,144, 93,
148,194,115,101,180,201,112)( 87,145,206,120, 95,178,195,109, 98,156,
203,142)( 88,157,205,138, 96,166,196,121, 97,174,204,130)
( 89,175,207,114, 92,154,197,139, 99,150,200,118)( 90,163,208,126, 91,
172,198,127,100,162,199,136),
( 1, 51, 94,156,110, 65,214, 7,123, 95,180, 2, 63,202,151,122,101,216
)( 3, 57,166,152,134,209,211, 13, 87, 96,150, 38, 64,190,115,125,
107, 36)( 4, 45,130,155,140, 29,213, 19,159, 92,174,182, 61,196, 79,
126, 77, 72)( 5, 69, 22,153,128,173,212, 25,195, 91,162, 74, 66,184,
43,124, 83,144)( 6, 39, 58,154,116,137,215, 31, 15, 93,168,146, 62,
208,187,121, 89,108)( 8,135,203,175, 14, 99,204,145, 50,100,192,109,
53,106, 12,111, 59,178)( 9,129,167,176, 26,207,199,157, 86,102,186,
37, 52, 82,120,113, 71, 34)( 10,117,131,179, 32, 27,201,163,158, 98,
210,181, 49, 88, 84,114, 41, 70)( 11,141, 23,177, 20,171,200,169,194,
97,198, 73, 54, 76, 48,112, 47,142)( 16, 81,132,149, 68, 28,189,127,
161,104, 30,183, 55,160, 80,138,185, 67)( 17,105, 24,147, 56,172,188,
133,197,103, 18, 75, 60,148, 44,136,191,139)( 21,165,164,170,206,205,
193, 85, 90, 78, 42, 40, 46,118,119,143, 35, 33) ] ],
[ 11, 648000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
"Alt(5) wreath Alt(3)", [ "A", 5, 3 ],
[ ( 1, 73,109,181,145)( 2, 77,110,185,146, 5, 74,113,182,149)
( 3, 76,111,184,147, 4, 75,112,183,148)( 6, 78,114,186,150)
( 7, 91,115,199,151, 19, 79,127,187,163)( 8, 95,116,203,152, 23, 80,
131,188,167)( 9, 94,117,202,153, 22, 81,130,189,166)
( 10, 93,118,201,154, 21, 82,129,190,165)( 11, 92,119,200,155, 20, 83,
128,191,164)( 12, 96,120,204,156, 24, 84,132,192,168)
( 13,103,121,211,157, 31, 85,139,193,175)( 14,107,122,215,158, 35, 86,
143,194,179)( 15,106,123,214,159, 34, 87,142,195,178)
( 16,105,124,213,160, 33, 88,141,196,177)( 17,104,125,212,161, 32, 89,
140,197,176)( 18,108,126,216,162, 36, 90,144,198,180)
( 25, 97,133,205,169)( 26,101,134,209,170, 29, 98,137,206,173)
( 27,100,135,208,171, 28, 99,136,207,172)( 30,102,138,210,174)
( 38, 41)( 39, 40)( 43, 55)( 44, 59)( 45, 58)( 46, 57)( 47, 56)
( 48, 60)( 49, 67)( 50, 71)( 51, 70)( 52, 69)( 53, 68)( 54, 72)
( 62, 65)( 63, 64), ( 1,178, 97,164, 66,116, 51, 11,213)
( 2, 70, 79,165, 30,140, 49,155,207)( 3, 34,103,163,174,134, 50, 47,
189)( 4,106, 91,168,138,122, 53,191,183)( 5,214, 73,166,102,128,
54,119,195)( 6,142, 85,167,210,110, 52, 83,201)( 7,177, 25,176,
61,152, 63, 8, 69)( 9, 33, 31,175,169,170, 62, 44, 45)
( 10,105, 19,180,133,158, 65,188, 39)( 12,141, 13,179,205,146, 64, 80,
57)( 14, 71,187,147, 28,104, 55,156,135)( 15, 35,211,145,172, 98, 56,
48,117)( 16,107,199,150,136, 86, 59,192,111)( 17,215,181,148,100, 92,
60,120,123)( 18,143,193,149,208, 74, 58, 84,129)( 20, 72,115,159, 29,
212, 37,154, 99)( 21, 36,139,157,173,206, 38, 46, 81)
( 22,108,127,162,137,194, 41,190, 75)( 23,216,109,160,101,200, 42,118,
87)( 24,144,121,161,209,182, 40, 82, 93)( 26, 68, 43,153, 27, 32, 67,
151,171)( 76, 94, 96,132,126,125,197,185,184)( 77,202, 78,130, 90,
131,198,113,196)( 88, 95,204,114,124, 89,203,186,112) ] ],
[ 12, 1296000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
"Alt(5)^3.6", [ "A", 5, 3 ],
[ ( 1,205, 30, 31,169, 26, 19, 97, 28, 7,133, 27, 13, 61, 29)
( 2,199,102, 34,151,134, 21, 85, 64, 11,109,207, 18, 67,173)
( 3,193, 66, 35,145,206, 24,103,172, 8,127, 99, 16, 43,137)
( 4,187,138, 33,157, 62, 23, 73,208, 12,139,171, 14, 55,101)
( 5,181,210, 36,175,170, 20, 91,100, 10,115,135, 15, 49, 65)
( 6,211,174, 32,163, 98, 22, 79,136, 9,121, 63, 17, 37,209)
( 38,203, 78,214,156,140,165, 86, 58, 83,112,189,126, 69,161)
( 39,197, 42,215,150,212,168,104,166, 80,130, 81,124, 45,125)
( 40,191,114,213,162, 68,167, 74,202, 84,142,153,122, 57, 89)
( 41,185,186,216,180,176,164, 92, 94, 82,118,117,123, 51, 53)
( 44,131, 75,196, 48,143,147,194, 60,107,148,188,132,105,160)
( 46,119,111,195, 54, 71,149,182,204,108,178,152,128, 93, 88)
( 47,113,183,198, 72,179,146,200, 96,106,154,116,129, 87, 52)
( 50, 59, 77,184,192,144,177,158, 56, 95, 76,190,120,141,159)
( 70,155,110,201, 90),
( 1,122, 46,105,205,164, 4,123, 43,104,208,165)( 2,124, 45,103,206,
166, 3,121, 44,106,207,163)( 5,125, 47,107,209,167)
( 6,126, 48,108,210,168)( 7,140, 64, 93,181,158, 10,141, 61, 92,184,
159)( 8,142, 63, 91,182,160, 9,139, 62, 94,183,157)
( 11,143, 65, 95,185,161)( 12,144, 66, 96,186,162)( 13,116, 70, 99,
199,146, 16,117, 67, 98,202,147)( 14,118, 69, 97,200,148, 15,115, 68,
100,201,145)( 17,119, 71,101,203,149)( 18,120, 72,102,204,150)
( 19,110, 52, 81,211,170, 22,111, 49, 80,214,171)( 20,112, 51, 79,212,
172, 21,109, 50, 82,213,169)( 23,113, 53, 83,215,173)
( 24,114, 54, 84,216,174)( 25,128, 40, 87,187,176, 28,129, 37, 86,190,
177)( 26,130, 39, 85,188,178, 27,127, 38, 88,189,175)
( 29,131, 41, 89,191,179)( 30,132, 42, 90,192,180)( 31,134, 58, 75,
193,152, 34,135, 55, 74,196,153)( 32,136, 57, 73,194,154, 33,133, 56,
76,195,151)( 35,137, 59, 77,197,155)( 36,138, 60, 78,198,156) ] ],
[ 13, 1296000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
"Alt(5) wreath Sym(3)", [ "A", 5, 3 ],
[ ( 1, 51,132,152, 97, 17,141,200,172)( 2, 63, 24,153, 91,161,139,194,136)
( 3, 57,168,151, 85,125,140,206, 28)( 4, 39, 60,156, 79, 89,143,212,
208)( 5, 69,204,154, 73, 53,144,188,100)( 6, 45, 96,155,103,197,
142,182, 64)( 7, 87,131,176,205, 16,111, 56,174)( 8, 99, 23,177,
199,160,109, 50,138)( 9, 93,167,175,193,124,110, 62, 30)
( 10, 75, 59,180,187, 88,113, 68,210)( 11,105,203,178,181, 52,114, 44,
102)( 12, 81, 95,179,211,196,112, 38, 66)( 13,123,128,170, 25, 15,
129,164,169)( 14,135, 20,171, 19,159,127,158,133)( 18,117, 92,173,
31,195,130,146, 61)( 21,165,163,157,121,122,134, 26, 27)
( 22,147, 55,162,115, 86,137, 32,207)( 29, 33,201,166,145, 49,126,116,
98)( 34,183, 58,150, 43, 90,119,104,209)( 35,213,202,148, 37, 54,120,
80,101)( 36,189, 94,149, 67,198,118, 74, 65)( 40, 42, 48, 84, 83,107,
215,214,184)( 41, 72,192, 82, 77, 71,216,190, 76)( 46, 78, 47,108,
191,106,185, 70,186),
( 1,203,135, 72, 82, 14,181,131, 63,108, 10,194,109, 59, 99, 36,190,
122, 37, 95, 27,216,118, 50, 73, 23,207,144, 46, 86)( 2,185,137, 66,
84, 8,182,113, 65,102, 12,188,110, 41,101, 30,192,116, 38, 77, 29,
210,120, 44, 74, 5,209,138, 48, 80)( 3,215,136, 54, 79, 20,183,143,
64, 90, 7,200,111, 71,100, 18,187,128, 39,107, 28,198,115, 56, 75,
35,208,126, 43, 92)( 4,197,133, 60, 81, 32,184,125, 61, 96, 9,212,
112, 53, 97, 24,189,140, 40, 89, 25,204,117, 68, 76, 17,205,132, 45,
104)( 6,191,134, 42, 83, 26,186,119, 62, 78, 11,206,114, 47, 98)
( 13,199,129, 69,106, 16,193,127, 57,105, 34,196,121, 55, 93, 33,214,
124, 49, 91, 21,213,142, 52, 85, 19,201,141, 70, 88)( 15,211,130, 51,
103, 22,195,139, 58, 87, 31,202,123, 67, 94)(145,167,171,180,154,158)
(146,149,173,174,156,152)(147,179,172,162,151,164)(148,161,169,168,
153,176)(150,155,170)(157,163,165,177,178,160)(159,175,166) ] ],
[ 14, 1296000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
"Alt(5)^3.Sym(3)", [ "A", 5, 3 ],
[ ( 1, 72,197, 2, 69,196)( 3, 70,193, 6, 71,194)( 4, 67,198, 5, 68,195
)( 7,144,209,146, 57, 88)( 8,141,208,145, 60, 89)( 9,142,205,150,
59, 86)( 10,139,210,149, 56, 87)( 11,140,207,148, 55, 90)
( 12,143,206,147, 58, 85)( 13, 36,215,182, 39, 52)( 14, 33,214,181,
42, 53)( 15, 34,211,186, 41, 50)( 16, 31,216,185, 38, 51)
( 17, 32,213,184, 37, 54)( 18, 35,212,183, 40, 49)( 19,108,191,110,
63,160)( 20,105,190,109, 66,161)( 21,106,187,114, 65,158)
( 22,103,192,113, 62,159)( 23,104,189,112, 61,162)( 24,107,188,111,
64,157)( 25,180,203, 74, 45,124)( 26,177,202, 73, 48,125)
( 27,178,199, 78, 47,122)( 28,175,204, 77, 44,123)( 29,176,201, 76,
43,126)( 30,179,200, 75, 46,121)( 79,120,137,170,165, 94)
( 80,117,136,169,168, 95)( 81,118,133,174,167, 92)( 82,115,138,173,
164, 93)( 83,116,135,172,163, 96)( 84,119,134,171,166, 91)
( 97,156,131, 98,153,130)( 99,154,127,102,155,128)(100,151,132,101,
152,129), ( 1, 72,196,173, 79, 32,204,125,153)( 2, 60,124,171, 73,
68,202,137, 81)( 3, 42, 52,172, 97,104,200,131,117)
( 4, 66, 88,170, 91,140,201,113, 45)( 5, 48, 16,174, 85,176,199,143,
189)( 6, 54,160,169,103,212,203,119, 9)( 7, 36,198,161,151, 31,
216,197,155)( 8, 24,126,159,145, 67,214,209, 83)( 10, 30, 90,158,
163,139,213,185, 47)( 11, 12, 18,162,157,175,211,215,191)
( 13,180,193,179,187, 35,192, 17,156)( 14,168,121,177,181, 71,190, 29,
84)( 15,150, 49,178,205,107,188, 23,120)( 19,144,195,149, 43, 34,210,
89,152)( 20,132,123,147, 37, 70,208,101, 80)( 21,114, 51,148, 61,106,
206, 95,116)( 22,138, 87,146, 55,142,207, 77, 44)( 25,108,194,167,
115, 33,186, 53,154)( 26, 96,122,165,109, 69,184, 65, 82)
( 27, 78, 50,166,133,105,182, 59,118)( 28,102, 86,164,127,141,183, 41,
46)( 38, 58,136, 99, 74, 56,130,135, 75)( 39, 40, 64,100, 98, 92,128,
129,111)( 57,112, 63, 76, 62, 94,134, 93,110) ] ],
[ 15, 2592000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
"Alt(5)^3.Alt(4)", [ "A", 5, 3 ],
[ ( 1, 55, 13, 67, 7, 37, 19, 49, 31, 43)( 2, 58, 18, 71, 8, 40, 24, 53,
32, 46, 6, 59, 14, 70, 12, 41, 20, 52, 36, 47)( 3, 57, 15, 69, 9,
39, 21, 51, 33, 45)( 4, 60, 17, 68, 10, 42, 23, 50, 34, 48, 5, 56,
16, 72, 11, 38, 22, 54, 35, 44)( 25, 61)( 26, 64, 30, 65)( 27, 63)
( 28, 66, 29, 62)( 73,199, 85,211, 79,181, 91,193,103,187)
( 74,202, 90,215, 80,184, 96,197,104,190, 78,203, 86,214, 84,185, 92,
196,108,191)( 75,201, 87,213, 81,183, 93,195,105,189)
( 76,204, 89,212, 82,186, 95,194,106,192, 77,200, 88,216, 83,182, 94,
198,107,188)( 97,205)( 98,208,102,209)( 99,207)(100,210,101,206)
(109,163,121,175,115,145,127,157,139,151)(110,166,126,179,116,148,132,
161,140,154,114,167,122,178,120,149,128,160,144,155)(111,165,123,177,
117,147,129,159,141,153)(112,168,125,176,118,150,131,158,142,156,113,
164,124,180,119,146,130,162,143,152)(133,169)(134,172,138,173)
(135,171)(136,174,137,170),
( 1,170, 78, 14, 99,126, 9,136, 48, 22, 65,204, 35,205,180)
( 2, 98, 90, 15,135,120, 10, 64, 60, 23,209,216, 31,169,150)
( 3,134, 84, 16, 63,132, 11,208, 72, 19,173,186, 32, 97,162)
( 4, 62, 96, 17,207,144, 7,172, 42, 20,101,198, 33,133,156)
( 5,206,108, 13,171,114, 8,100, 54, 21,137,192, 34, 61,168)
( 6, 26,102, 18, 27,138, 12, 28, 66, 24, 29,210, 36, 25,174)
( 37,164, 77,194,105,121,153,112, 44, 94, 53,201,143,187,178)
( 38, 92, 89,195,141,115,154, 40, 56, 95,197,213,139,151,148)
( 39,128, 83,196, 69,127,155,184, 68, 91,161,183,140, 79,160)
( 41,200,107,193,177,109,152, 76, 50, 93,125,189,142, 43,166)
( 45,130, 47,202, 71,199,179,181,176, 73,158, 75,122, 81,124)
( 46, 58, 59,203,215,211,175,145,146, 74, 86, 87,123,117,118)
( 49,165,113,188,106)( 51,129,119,190, 70, 55,167,185,212,103,157,147,
110, 80, 88)( 52, 57,131,191,214, 67,163,149,182,104, 85,159,111,116,
82) ] ],
[ 16, 2592000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
"Alt(5)^3.D_12", [ "A", 5, 3 ],
[ ( 1, 44, 93, 36, 65, 88)( 2, 56, 96, 30, 64, 76)( 3, 68, 95, 18, 61, 82
)( 4, 38, 92, 24, 66,100)( 5, 50, 91, 12, 63,106)( 6, 62, 94)
( 7, 45,105, 35, 53, 85)( 8, 57,108, 29, 52, 73)( 9, 69,107, 17,
49, 79)( 10, 39,104, 23, 54, 97)( 11, 51,103)( 13, 43, 81, 33, 71,
89)( 14, 55, 84, 27, 70, 77)( 15, 67, 83)( 16, 37, 80, 21, 72,101)
( 19, 48, 99, 34, 41, 86)( 20, 60,102, 28, 40, 74)( 22, 42, 98)
( 25, 46, 75, 32, 59, 90)( 26, 58, 78)( 31, 47, 87)(109,188,165,144,
209,160)(110,200,168,138,208,148)(111,212,167,126,205,154)
(112,182,164,132,210,172)(113,194,163,120,207,178)(114,206,166)
(115,189,177,143,197,157)(116,201,180,137,196,145)(117,213,179,125,
193,151)(118,183,176,131,198,169)(119,195,175)(121,187,153,141,215,
161)(122,199,156,135,214,149)(123,211,155)(124,181,152,129,216,173)
(127,192,171,142,185,158)(128,204,174,136,184,146)(130,186,170)
(133,190,147,140,203,162)(134,202,150)(139,191,159),
( 1,182,192, 90,123,127)( 2,188, 84, 87,129, 19)( 3,200, 12, 86,117,
91)( 4,206, 48, 89,141,163)( 5,212,156, 88,135, 55)
( 6,194,120, 85,111,199)( 7, 74,189, 96, 15,128)( 8, 80, 81, 93,
21, 20)( 9, 92)( 10, 98, 45, 95, 33,164)( 11,104,153, 94, 27, 56)
( 13,110,187, 78,195,132)( 14,116, 79, 75,201, 24)( 16,134, 43, 77,
213,168)( 17,140,151, 76,207, 60)( 18,122,115, 73,183,204)
( 22, 26, 44, 83,105,165)( 23, 32,152, 82, 99, 57)( 25, 38,191,108,
159,130)( 28, 62, 47,107,177,166)( 29, 68,155,106,171, 58)
( 30, 50,119,103,147,202)( 31,146,190,102, 51,131)( 34,170, 46,101,
69,167)( 35,176,154,100, 63, 59)( 36,158,118, 97, 39,203)
( 37,185,216,162,124,133)( 40,209, 72,161,142,169)( 41,215,180,160,
136, 61)( 42,197,144,157,112,205)( 49,113,211,150,196,138)
( 52,137, 67,149,214,174)( 53,143,175,148,208, 66)( 54,125,139,145,
184,210)( 64, 65, 71,179,178,172)( 70,173)(109,181,186,198,126,121)
(114,193) ] ],
[ 17, 5184000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
"Sym(5) wreath Alt(3)", [ "A", 5, 3 ],
[ ( 1,158, 10, 85,178, 83,139,167,117, 55,147, 44)( 2, 14, 16, 88,106,107,
143,131,129, 57, 39, 38)( 3, 50, 4, 86, 34, 89,142, 95,141, 59,111,
56)( 5,122, 22, 87, 70, 77,140, 23,123, 58, 75, 68)( 6,194, 28, 90,
214,101,144,203,135, 60,183, 62)( 7,157,154, 79,175,155,115,163,153,
43,145,152)( 8, 13,160, 82,103,179,119,127,165, 45, 37,146)
( 9, 49,148, 80, 31,161,118, 91,177, 47,109,164)( 11,121,166, 81, 67,
149,116, 19,159, 46, 73,176)( 12,193,172, 84,211,173,120,199,171, 48,
181,170)( 15, 52, 76,104, 35,125,130, 93, 69, 41,110, 20)
( 17,124, 94,105, 71,113,128, 21, 51, 40, 74, 32)( 18,196,100,108,215,
137,132,201, 63, 42,182, 26)( 24,195, 64, 78,212, 29,126,202, 99, 72,
185,134)( 25,162,190, 97,180,191,133,168,189, 61,150,188)
( 27, 54,184, 98, 36,197,136, 96,213, 65,114,200)( 30,198,208,102,216,
209,138,204,207, 66,186,206)( 33, 53,112, 92)(156,187,169)
(174,192,205), ( 1, 57,120,157,213, 30, 37,129,156,193, 33, 66,109,
165,192, 13, 69,138,145,201, 12, 49,141,174,181, 21, 48,121,177,210)
( 2, 59,118,158,215, 28, 38,131,154,194, 35, 64,110,167,190, 14, 71,
136,146,203, 10, 50,143,172,182, 23, 46,122,179,208)( 3, 60,115,159,
216, 25, 39,132,151,195, 36, 61,111,168,187, 15, 72,133,147,204, 7,
51,144,169,183, 24, 43,123,180,205)( 4, 56,119,160,212, 29, 40,128,
155,196, 32, 65,112,164,191, 16, 68,137,148,200, 11, 52,140,173,184,
20, 47,124,176,209)( 5, 58,116,161,214, 26, 41,130,152,197, 34, 62,
113,166,188, 17, 70,134,149,202, 8, 53,142,170,185, 22, 44,125,178,
206)( 6, 55,117,162,211, 27, 42,127,153,198, 31, 63,114,163,189, 18,
67,135,150,199, 9, 54,139,171,186, 19, 45,126,175,207)
( 73, 93, 84, 85,105,102)( 74, 95, 82, 86,107,100)( 75, 96, 79, 87,
108, 97)( 76, 92, 83, 88,104,101)( 77, 94, 80, 89,106, 98)
( 78, 91, 81, 90,103, 99) ] ],
[ 18, 5184000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
"Alt(5)^3.Sym(4)", [ "A", 5, 3 ],
[ ( 1,132, 64,187,111,102, 67,116,171, 85,143, 26,163,124,209)
( 2,168, 52,191, 3, 96, 70,188,147, 90, 71, 8,165, 88,215)
( 4,204, 40,192, 39, 84, 69, 80,177, 86,179, 14,167, 16,203)
( 5, 24, 58,190,183, 78, 72, 44,153, 87,107, 32,164,160,197)
( 6, 60, 46,189, 75,108, 68,152,159, 89, 35, 20,166,196,185)
( 7,129,100,211,110,174, 49,119, 27, 91,142,206,145,126, 65)
( 9, 93,106,212,146,162, 53, 11, 21, 94,214,182,150, 54, 47)
( 10,201, 76,216, 38,156, 51, 83, 33, 92,178,194,149, 18, 59)
( 12, 57, 82,213, 74,180, 50,155, 15, 95, 34,200,148,198, 41)
( 13,131, 28,199,112,210, 37,120, 63, 79,141, 98,175,122,173)
( 17, 23, 22,202,184,186, 42, 48, 45, 81,105,104,176,158,161)
( 19,130,208,181,114, 66, 43,117, 99,103,140,170,157,125, 29)
( 25,127,136,205,109,138, 61,115,135, 97,139,134,169,121,137)
( 30, 55,118,207, 73,144, 62,151,123,101, 31,128,172,193,113)
( 36, 56,154,195, 77),
( 1, 4)( 5, 6)( 7, 76, 13,148, 31,184, 19, 40, 25,112)
( 8, 74, 14,146, 32,182, 20, 38, 26,110)( 9, 75, 15,147, 33,183, 21,
39, 27,111)( 10, 73, 16,145, 34,181, 22, 37, 28,109)( 11, 78, 17,150,
35,186, 23, 42, 29,114)( 12, 77, 18,149, 36,185, 24, 41, 30,113)
( 43,100,121,154,103,196,163, 70,205,130)( 44, 98,122,152,104,194,164,
68,206,128)( 45, 99,123,153,105,195,165, 69,207,129)( 46, 97,124,151,
106,193,166, 67,208,127)( 47,102,125,156,107,198,167, 72,209,132)
( 48,101,126,155,108,197,168, 71,210,131)( 49,172,139,190, 91, 52,169,
142,187, 94)( 50,170,140,188, 92)( 51,171,141,189, 93)
( 53,174,143,192, 95, 54,173,144,191, 96)( 55, 64,133,118, 79, 88,157,
178,211,202)( 56, 62,134,116, 80, 86,158,176,212,200)
( 57, 63,135,117, 81, 87,159,177,213,201)( 58, 61,136,115, 82, 85,160,
175,214,199)( 59, 66,137,120, 83, 90,161,180,215,204)
( 60, 65,138,119, 84, 89,162,179,216,203) ] ],
[ 19, 5184000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
"Alt(5)^3.Sym(4)", [ "A", 5, 3 ],
[ ( 1, 24, 33, 4, 12, 31, 22, 9)( 2, 30, 32, 28, 8, 25, 20, 27)
( 3, 6, 36, 34, 10, 7, 19, 21)( 5, 18, 35, 16, 11, 13, 23, 15)
( 14, 29)( 37,132, 69,112, 48,139, 58,117)( 38,138, 68,136, 44,133,
56,135)( 39,114, 72,142, 46,115, 55,129)( 40,120, 67,130, 45,109,
60,141)( 41,126, 71,124, 47,121, 59,123)( 42,144, 70,118, 43,127,
57,111)( 49,131, 51,113, 54,143, 52,119)( 50,137)( 53,125)
( 61,128, 63,110, 66,140, 64,116)( 62,134)( 65,122)( 73,204,105,184,
84,211, 94,189)( 74,210,104,208, 80,205, 92,207)( 75,186,108,214,
82,187, 91,201)( 76,192,103,202, 81,181, 96,213)( 77,198,107,196,
83,193, 95,195)( 78,216,106,190, 79,199, 93,183)( 85,203, 87,185,
90,215, 88,191)( 86,209)( 89,197)( 97,200, 99,182,102,212,100,188)
( 98,206)(101,194)(145,168,177,148,156,175,166,153)(146,174,176,172,
152,169,164,171)(147,150,180,178,154,151,163,165)(149,162,179,160,
155,157,167,159)(158,173), ( 1, 84,148, 44,111, 7, 78,154, 38,117)
( 2,120,145, 80,112, 43, 75, 10, 42,153)( 3, 12,150,152,110,115, 73,
82, 40, 45)( 4, 48,147, 8,114,151, 74,118, 37, 81)( 5,192,149,188,
113,187, 77,190, 41,189)( 6,156,146,116,109, 79, 76, 46, 39, 9)
( 11,186,155,182,119,181, 83,184, 47,183)( 13, 96,160, 56,123, 19, 90,
166, 50,129)( 14,132,157, 92,124, 55, 87, 22, 54,165)
( 15, 24,162,164,122,127, 85, 94, 52, 57)( 16, 60,159, 20,126,163, 86,
130, 49, 93)( 17,204,161,200,125,199, 89,202, 53,201)
( 18,168,158,128,121, 91, 88, 58, 51, 21)( 23,198,167,194,131,193, 95,
196, 59,195)( 25,108,172, 68,135, 31,102,178, 62,141)
( 26,144,169,104,136, 67, 99, 34, 66,177)( 27, 36,174,176,134,139, 97,
106, 64, 69)( 28, 72,171, 32,138,175, 98,142, 61,105)
( 29,216,173,212,137,211,101,214, 65,213)( 30,180,170,140,133,103,100,
70, 63, 33)( 35,210,179,206,143,205,107,208, 71,207)(185,191)
(197,203)(209,215) ] ],
[ 20, 10368000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
"Sym(5) wreath Sym(3)", [ "A", 5, 3 ],
[ ( 1,121,130, 34, 25,109,124, 22, 31,133,112, 16, 19,139,136, 4, 13,127,
142, 28)( 2, 85,131,178, 26, 73,125,166, 32, 97,113,160, 20,103,137,
148, 14, 91,143,172)( 3, 49,132,214, 27, 37,126,202, 33, 61,114,196,
21, 67,138,184, 15, 55,144,208)( 5,157,128,106, 29,145,122, 94, 35,
169,110, 88, 23,175,134, 76, 17,163,140,100)( 6,193,129, 70, 30,181,
123, 58, 36,205,111, 52, 24,211,135, 40, 18,199,141, 64)
( 7,115,118, 10)( 8, 79,119,154)( 9, 43,120,190)( 11,151,116, 82)
( 12,187,117, 46)( 38, 90,203,177, 62, 78,197,165, 68,102,185,159, 56,
108,209,147, 50, 96,215,171)( 39, 54,204,213, 63, 42,198,201, 69, 66,
186,195, 57, 72,210,183, 51, 60,216,207)( 41,162,200,105, 65,150,194,
93, 71,174,182, 87, 59,180,206, 75, 53,168,212, 99)( 44, 84,191,153)
( 45, 48,192,189)( 47,156,188, 81)( 74, 89,167,176, 98, 77,161,164,
104,101,149,158, 92,107,173,146, 86, 95,179,170)( 80, 83,155,152),
( 1,176, 91, 33,151,108, 25,178, 85, 35,145,104, 19,177, 79, 36,169,
106, 13,179, 73, 32,163,105, 7,180, 97, 34,157,107)( 2,164, 93, 9,
156,102, 28,160, 89, 5,146, 92, 21,153, 84, 30,172, 88, 17,149, 74,
20,165, 81, 12,174,100, 16,161, 77)( 3,152, 96, 27,154, 90, 29,148,
86, 23,147, 80, 24,171, 82, 18,173, 76, 14,167, 75, 8,168, 99, 10,
162,101, 4,158, 95)( 6,170, 94, 15,155, 78, 26,166, 87, 11,150, 98,
22,159, 83)( 31,175,103)( 37,140,199, 69,115,216, 61,142,193, 71,109,
212, 55,141,187, 72,133,214, 49,143,181, 68,127,213, 43,144,205, 70,
121,215)( 38,128,201, 45,120,210, 64,124,197, 41,110,200, 57,117,192,
66,136,196, 53,113,182, 56,129,189, 48,138,208, 52,125,185)
( 39,116,204, 63,118,198, 65,112,194, 59,111,188, 60,135,190, 54,137,
184, 50,131,183, 44,132,207, 46,126,209, 40,122,203)( 42,134,202, 51,
119,186, 62,130,195, 47,114,206, 58,123,191)( 67,139,211) ] ],
[21, Factorial(216)/2,1,"2",[[215,1]],214, "Alt(216)", ["A",216, 1], "Alt"],
[22, Factorial(216),0,"2",[[215, 1]],216, "Sym(216)", ["A",216, 1], "Sym"]];
PRIMGRP[217]:=
[[1, Factorial(217)/2,1,"2",[[216,1]],215, "Alt(217)", ["A",217, 1], "Alt"],
[2, Factorial(217),0,"2",[[216, 1]],217, "Sym(217)", ["A",217, 1], "Sym"]];
PRIMGRP[218]:=
[[1, Factorial(218)/2,1,"2",[[217,1]],216, "Alt(218)", ["A",218, 1], "Alt"],
[2, Factorial(218),0,"2",[[217, 1]],218, "Sym(218)", ["A",218, 1], "Sym"]];
PRIMGRP[219]:=
[[1, Factorial(219)/2,1,"2",[[218,1]],217, "Alt(219)", ["A",219, 1], "Alt"],
[2, Factorial(219),0,"2",[[218, 1]],219, "Sym(219)", ["A",219, 1], "Sym"]];
PRIMGRP[220]:=
[[ 1, 95040, 1, "2", [ [ 12, 1 ], [ 27, 1 ], [ 72, 1 ], [ 108, 1 ] ], 1,
"M_12", [ "Spor", "M(12)", 1 ],
[ ( 1, 2)( 3, 5)( 4, 7)( 6, 10)( 8, 11)( 9, 12)( 13, 17)( 14, 18)
( 15, 20)( 16, 22)( 19, 26)( 21, 28)( 23, 30)( 24, 31)( 25, 33)
( 27, 35)( 29, 38)( 32, 42)( 34, 44)( 36, 45)( 37, 46)( 39, 49)
( 40, 50)( 41, 52)( 43, 55)( 47, 60)( 48, 61)( 51, 65)( 53, 67)
( 54, 68)( 56, 71)( 57, 72)( 58, 73)( 59, 75)( 62, 79)( 63, 80)
( 64, 82)( 66, 85)( 69, 81)( 70, 89)( 74, 94)( 76, 95)( 77, 96)
( 78, 98)( 83,103)( 84,104)( 86,107)( 87,108)( 88,110)( 90,113)
( 91,114)( 92,116)( 93,118)( 97,122)( 99,101)(100,123)(102,126)
(105,129)(106,130)(109,133)(111,135)(112,125)(115,139)(117,141)
(119,143)(120,144)(121,140)(124,148)(127,150)(128,147)(131,154)
(132,155)(134,157)(136,160)(137,161)(138,162)(142,166)(145,156)
(146,170)(149,172)(151,173)(152,174)(153,176)(158,181)(159,182)
(163,185)(164,187)(165,168)(167,188)(169,190)(171,189)(175,196)
(177,197)(178,198)(179,199)(180,200)(183,193)(184,195)(186,203)
(191,206)(192,207)(194,201)(202,212)(204,213)(205,214)(208,217)
(209,218)(210,219)(211,220)(215,216),
( 1, 3, 6)( 2, 4, 8)( 5, 9, 13)( 10, 14, 19)( 11, 15, 21)
( 12, 16, 23)( 17, 24, 32)( 18, 25, 34)( 20, 27, 36)( 22, 29, 39)
( 28, 37, 47)( 30, 40, 51)( 31, 41, 53)( 33, 43, 56)( 35, 44, 57)
( 38, 48, 62)( 42, 54, 69)( 45, 58, 74)( 46, 59, 76)( 49, 63, 81)
( 50, 64, 83)( 52, 66, 86)( 55, 70, 90)( 60, 77, 97)( 61, 78, 99)
( 65, 84,105)( 67, 87,109)( 68, 88,111)( 71, 91,115)( 72, 92,117)
( 73, 93,119)( 79,100,124)( 80,101,125)( 82,102,127)( 85,106,131)
( 89,112,136)( 94,120,145)( 95,108,132)( 96,121,146)( 98,122,147)
(103,114,138)(104,128,151)(107,113,137)(110,134,158)(116,140,164)
(118,142,167)(123,126,149)(129,152,175)(130,153,177)(133,156,179)
(135,159,183)(139,163,186)(141,165,181)(143,168,189)(144,169,191)
(148,171,150)(154,155,178)(157,180,188)(160,184,202)(161,170,192)
(162,174,195)(172,193,208)(173,194,209)(176,196,198)(182,201,212)
(185,187,204)(190,205,199)(197,210,213)(200,211,218)(203,206,215)
(207,216,219)(214,217,220) ] ],
[ 2, 239500800, 1, "2", [ [ 27, 1 ], [ 84, 1 ], [ 108, 1 ] ], 1, "Alt(12)",
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[ ( 1, 2, 4, 7, 11, 15, 22, 31, 45, 66)( 3, 5, 8, 12, 17, 25, 36, 52,
74,102)( 6, 10, 13, 19, 28, 41, 60, 87,103,131)( 9, 14, 21, 30, 43,
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( 18, 27, 39, 57, 82,111,137,155,171,188)( 20, 29, 42, 61, 88,114,141,
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( 26, 38, 55, 79, 53, 76,105,121, 49, 70)( 34, 50, 71, 99,127,149,165,
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( 40, 58, 84,113, 92,119,144,161,177, 98)( 44, 64, 93,101,129, 65, 95,
123, 72,100)( 56, 80,109, 83,112,138,156,172,189,205)
( 59, 86,106,134,120,146,162,179,194,126)( 67, 96,124,145,163,181,197,
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( 75,104,132,152,168,185,201,206,216, 85)( 78,108,136,154,170,187,203,
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( 12, 18, 19)( 17, 26, 28)( 22, 32, 47)( 23, 34, 35)( 25, 37, 41)
( 27, 40, 59)( 30, 44, 65)( 33, 49, 51)( 36, 53, 60)( 38, 56, 81)
( 42, 62, 90)( 46, 67, 68)( 48, 69, 73)( 50, 72,101)( 52, 75, 87)
( 54, 78,109)( 57, 83,108)( 58, 85, 86)( 63, 92,120)( 64, 94, 95)
( 70, 98,126)( 74,103, 88)( 76,106, 84)( 79,110, 80)( 89,116,117)
( 93,121,123)(100,128,129)(102,130,131)(105,133,115)(112,139,136)
(113,140,134)(119,145,146)(122,148,142)(138,154,149)(144,162,180)
(156,173,170)(161,178,179)(172,187,204)(177,194,210)(189,206,203)
(205,214,213) ] ],
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[ ( 1, 2, 4, 7, 10, 15, 23, 33, 31, 42, 52, 63)( 3, 6, 9, 14, 21, 30,
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105)( 11, 17, 25, 36, 46, 57, 67, 77, 89, 86, 99,113)
( 13, 20, 29, 39, 49, 60, 71, 82, 95,109,124,138)( 16, 24, 34, 44)
( 19, 28, 38, 48, 59, 70, 81, 93,107,121,114,129)( 22, 32, 43, 54, 65,
53, 64, 74, 62, 73, 85, 98)( 40, 50, 61, 72, 84, 69, 80, 92,106,120,
56, 66)( 75, 87,100,115,130,143, 97,111,126,140,153,165)
( 76, 88,102,117,132,145, 83, 96,110,125,139,152)( 78, 90,103,118,133,
146,112,127,141,154,166,177)( 94,108,122,136,147,160,128,142,155,167,
178,187)(101,116,131,144,157,158,170,181,190,197,203,209)
(104,119,134,148,161,156,168,179,188,195,201,207)(123,137,150,162,173,
159,171,182,191,198,204,210)(135,149,163,174,169,180,189,196,202,208,
213,216)(151,164,175,185,172,183,192,199,205,211,214,217)
(176,186,194,184,193,200,206,212,215,218,219,220),
( 1, 3)( 2, 5)( 7, 11)( 8, 13)( 10, 16)( 12, 19)( 14, 22)( 18, 27)
( 21, 31)( 24, 35)( 29, 40)( 42, 53)( 45, 56)( 50, 62)( 57, 68)
( 58, 69)( 64, 75)( 66, 76)( 67, 78)( 70, 82)( 71, 83)( 73, 86)
( 81, 94)( 84, 97)( 87,101)( 90,104)( 98,112)( 99,114)(100,102)
(108,123)(113,128)(115,118)(119,135)(131,134)(133,147)(137,151)
(143,156)(145,158)(146,159)(148,162)(157,169)(161,172)(163,175)
(164,176)(174,184) ] ],
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[5, Factorial(220),0,"2",[[219, 1]],220, "Sym(220)", ["A",220, 1], "Sym"]];
PRIMGRP[221]:=
[[1, Factorial(221)/2,1,"2",[[220,1]],219, "Alt(221)", ["A",221, 1], "Alt"],
[2, Factorial(221),0,"2",[[220, 1]],221, "Sym(221)", ["A",221, 1], "Sym"]];
PRIMGRP[222]:=
[[1, Factorial(222)/2,1,"2",[[221,1]],220, "Alt(222)", ["A",222, 1], "Alt"],
[2, Factorial(222),0,"2",[[221, 1]],222, "Sym(222)", ["A",222, 1], "Sym"]];
PRIMGRP[223]:=
[[ 1, 223, 3, "1", [ [ 1, 222 ] ], 1, "C(223)", [ "Z", 223, 1 ], [ ] ],
[ 2, 446, 2, "1", [ [ 2, 111 ] ], 1, "D(2*223)", [ "Z", 223, 1 ],
[ [ [ Z(223)^111 ] ] ] ],
[ 3, 669, 2, "1", [ [ 3, 74 ] ], 1, "223:3", [ "Z", 223, 1 ],
[ [ [ Z(223)^74 ] ] ] ],
[ 4, 1338, 2, "1", [ [ 6, 37 ] ], 1, "223:6", [ "Z", 223, 1 ],
[ [ [ Z(223)^37 ] ] ] ],
[ 5, 8251, 2, "1", [ [ 37, 6 ] ], 1, "223:37", [ "Z", 223, 1 ],
[ [ [ Z(223)^6 ] ] ] ],
[ 6, 16502, 2, "1", [ [ 74, 3 ] ], 1, "223:74", [ "Z", 223, 1 ],
[ [ [ Z(223)^3 ] ] ] ],
[ 7, 24753, 2, "1", [ [ 111, 2 ] ], 1, "223:111", [ "Z", 223, 1 ],
[ [ [ Z(223)^2 ] ] ] ],
[ 8, 49506, 2, "1", [ [ 222, 1 ] ], 2, "AGL(1, 223)", [ "Z", 223, 1 ],
[ [ [ Z(223) ] ] ] ],
[9, Factorial(223)/2,1,"2",[[222,1]],221, "Alt(223)", ["A",223, 1], "Alt"],
[10, Factorial(223),0,"2",[[222, 1]],223, "Sym(223)", ["A",223, 1], "Sym"]];
PRIMGRP[224]:=
[[ 1, 5544672, 1, "2", [ [ 223, 1 ] ], 2, "PSL(2, 223)",
[ "L", [ 2, 223 ], 1 ], "psl" ],
[ 2, 11089344, 0, "2", [ [ 223, 1 ] ], 3, "PGL(2, 223)",
[ "L", [ 2, 223 ], 1 ], "pgl" ],
[3, Factorial(224)/2,1,"2",[[223,1]],222, "Alt(224)", ["A",224, 1], "Alt"],
[4, Factorial(224),0,"2",[[223, 1]],224, "Sym(224)", ["A",224, 1], "Sym"]];
PRIMGRP[225]:=
[[ 1, 12700800, 0, "4c", [ [ 28, 1 ], [ 196, 1 ] ], 1, "Alt(7) wreath Sym(2)",
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101,225, 54, 23,126, 44)( 5, 61,176,213, 99, 30, 51, 38,124,164)
( 6, 31,169,153, 95, 75, 56,218,129, 29)( 7, 76,175,138,103,195, 47,
113,132,209)( 9, 16,171, 33, 94,165, 50, 68,131,224)
( 10,136,178,183, 92,120, 57,203,127, 89)( 11,211,174, 18, 96, 45, 49,
158,125, 74)( 12,196,172, 78,100,150, 58,188,122,119)
( 13,181,167,108,102,210, 52, 83,130,149)( 15, 46,173,123,104)
( 17,111, 42,199,157, 80, 70,146,223,189)( 19,156, 35, 64,161,215, 69,
26,216, 39)( 20, 66, 41,214,159)( 21, 36, 34,154,155, 65, 71,221,219,
24)( 22, 81, 40,139,163,185, 62,116,222,204)( 25,141, 43,184,152,110,
72,206,217, 84)( 27,201, 37, 79,160,140, 73,191,212,114)
( 28,186, 32,109,162,200, 67, 86,220,144)( 77,115,147,208,187)
( 82, 85,145,148,193,182,107,117,207,202)( 87,205,142, 88,190,137,118,
192,197,112), ( 1, 14, 5, 9, 6)( 2, 8, 3, 11, 10)
( 4, 7, 15, 13, 12)( 16,104,110, 24, 96,106, 29, 95,114, 21, 91,119,
20, 99,111)( 17, 98,108, 26,100,107, 23, 93,116, 25, 92,113, 18,101,
115)( 19, 97,120, 28,102,109, 22,105,118, 27, 94,112, 30,103,117)
( 31,134,140, 39,126,136, 44,125,144, 36,121,149, 35,129,141)
( 32,128,138, 41,130,137, 38,123,146, 40,122,143, 33,131,145)
( 34,127,150, 43,132,139, 37,135,148, 42,124,142, 45,133,147)
( 46, 74,170, 54, 66,166, 59, 65,174, 51, 61,179, 50, 69,171)
( 47, 68,168, 56, 70,167, 53, 63,176, 55, 62,173, 48, 71,175)
( 49, 67,180, 58, 72,169, 52, 75,178, 57, 64,172, 60, 73,177)
( 76, 89, 80, 84, 81)( 77, 83, 78, 86, 85)( 79, 82, 90, 88, 87)
(151,209,215,159,201,211,164,200,219,156,196,224,155,204,216)
(152,203,213,161,205,212,158,198,221,160,197,218,153,206,220)
(154,202,225,163,207,214,157,210,223,162,199,217,165,208,222)
(181,194,185,189,186)(182,188,183,191,190)(184,187,195,193,192) ] ],
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[ ( 1, 8, 13, 14, 15)( 2, 12, 7, 10, 4)( 3, 6, 5, 11, 9)
( 16, 53, 28, 59, 30, 46, 23, 58, 29, 60)( 17, 57, 22, 55, 19, 47, 27,
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151, 68,163, 74,165)( 62,162, 67,160, 64,152, 72,157, 70,154)
( 63,156, 65,161, 69,153, 66,155, 71,159)( 76,128, 88,134, 90,121, 83,
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( 78,126, 80,131, 84,123, 81,125, 86,129)( 91, 98,103,104,105)
( 92,102, 97,100, 94)( 93, 96, 95,101, 99)(106,218,118,224,120,211,
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(108,216,110,221,114,213,111,215,116,219)(136,173,148,179,150,166,143,
178,149,180)(137,177,142,175,139,167,147,172,145,169)
(138,171,140,176,144,168,141,170,146,174)(181,203,193,209,195,196,188,
208,194,210)(182,207,187,205,184,197,192,202,190,199)
(183,201,185,206,189,198,186,200,191,204),
( 1, 92,142, 42,219,170, 30,123)( 2,137,147,222,215, 20, 18, 3)
( 4,197,148,162,224,110, 26, 78)( 5, 17,138, 12,212,140, 27,213)
( 6,182,143, 57,216,185, 23, 48)( 7, 32,144,177,225,125, 16, 93)
( 8, 47,141,192,218, 50, 21,183)( 9,167,150,132,211, 95, 22, 33)
( 10, 62,145, 72,220, 65, 25, 63)( 11, 77,139,207,223,155, 29,108)
( 13,152,149,117,221, 80, 19,198)( 14,107,146, 87,214,200, 28,153)
( 15,122,136,102,217, 35, 24,168)( 31, 99,172, 45,129,166,105,127)
( 34,204,178,165,134,106,101, 82)( 36,189,173, 60,126,181, 98, 52)
( 37, 39,174,180,135,121, 91, 97)( 38, 54,171,195,128, 46, 96,187)
( 40, 69,175, 75,130, 61,100, 67)( 41, 84,169,210,133,151,104,112)
( 43,159,179,120,131, 76, 94,202)( 44,114,176, 90,124,196,103,157)
( 49,201,193,158, 59,111,191, 83)( 51,186,188, 53)( 55, 66,190, 68)
( 56, 81,184,203, 58,156,194,113)( 64,205, 73,160, 74,115, 71, 85)
( 79,199,208,163,164,119,116, 86)( 88,154,209,118,161, 89,109,206) ]
],
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[ ( 1, 27,193,171)( 2, 87,182, 81)( 3,132,188,156)( 4, 42,195, 66)
( 5,147,185,141)( 6, 12,192,186)( 7,102,189, 51)( 8,162,183,126)
( 9, 57,187, 96)( 10,117,190,111)( 11,207,194,216)( 13,177,181, 21)
( 14,222,191,201)( 15, 72,184, 36)( 16, 28,178,166)( 17, 88,167, 76)
( 18,133,173,151)( 19, 43,180, 61)( 20,148,170,136)( 22,103,174, 46)
( 23,163,168,121)( 24, 58,172, 91)( 25,118,175,106)( 26,208,179,211)
( 29,223,176,196)( 30, 73,169, 31)( 32, 90, 62, 79)( 33,135, 68,154)
( 34, 45, 75, 64)( 35,150, 65,139)( 37,105, 69, 49)( 38,165, 63,124)
( 39, 60, 67, 94)( 40,120, 70,109)( 41,210, 74,214)( 44,225, 71,199)
( 47, 82, 92, 84)( 48,127, 98,159)( 50,142, 95,144)( 52, 97, 99, 54)
( 53,157, 93,129)( 55,112,100,114)( 56,202,104,219)( 59,217,101,204)
( 78,122, 83,152)( 80,137)( 85,107)( 86,197, 89,212)(108,130,113,160)
(110,145)(116,205,119,220)(123,128,158,153)(125,143,155,138)
(131,203,164,213)(134,218,161,198)(146,200,149,215)(206,209,224,221),
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( 3, 87, 34, 51, 8, 76, 33, 57, 4, 81, 38, 46)( 5, 89, 39, 50, 14,
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40, 56)( 13, 90, 43, 60)( 15, 88, 45, 58)( 16,123, 27,124, 21,128)
( 17,122)( 18,132, 19,126, 23,121)( 20,134, 24,125, 29,129)
( 22,130, 26,127, 25,131)( 28,135)( 30,133)( 61,108,207,169, 66,113,
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198,177, 64,111,203,166)( 65,119,204,170, 74,114,200,179, 69,110,209,
174)( 67,115,206,172, 70,116,202,175, 71,112,205,176)( 73,120,208,180
)( 75,118,210,178)( 91, 93,102, 94, 96, 98)( 95,104, 99)( 97,100,101)
(103,105)(136,183,162,214,141,188,151,213,147,184,156,218)
(137,182,152,212)(138,192,154,216,143,181,153,222,139,186,158,211)
(140,194,159,215,149,189,155,224,144,185,164,219)(142,190,161,217,145,
191,157,220,146,187,160,221)(148,195,163,225)(150,193,165,223) ] ],
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], 1, "Alt(6)^2.4", [ "A", 6, 2 ],
[ ( 1,196,207, 12)( 2,121,208,147, 6, 46,197,132, 13,136,201, 57)
( 3, 31,210,162, 11,211,198, 42, 15,151,206,222)( 4, 61,202,192, 9,
106,203, 87, 10, 91,200, 27)( 5, 16,199, 72, 7,181,204,117, 8, 76,
205,102)( 14,166,209,177)( 17,124, 73,142,186, 54,107,128, 88,145,
96, 50)( 18, 34, 75,157,191,219,108, 38, 90,160,101,215)
( 19, 64, 67,187,189,114,113, 83, 85,100, 95, 20)( 21, 49, 62,127,193,
144,111, 53, 77,130,103,140)( 22,184, 69,112,188, 84,115, 98, 80, 25,
94, 65)( 23, 79, 70, 97,185, 24,109, 68, 82,190, 99,110)
( 26,214, 63, 37,195,159,116,218, 78, 40,105,155)( 28,139, 66, 52,182,
129,118,143, 81, 55, 92,125)( 29,169, 74,172,194,174,119,173, 89,175,
104,170)( 30,154, 71,217,183, 39,120,158, 86,220, 93, 35)
( 32,135,163,146,216, 48)( 33, 45,165,161,221,213)( 36, 60,152,131,
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168)( 47,122,133,148,141, 51)( 58,137,126)( 59,167,134,178,149,171),
( 1, 85, 30, 58, 31, 77,135, 49)( 2,130, 19, 13, 40, 17,133, 34)
( 3,145, 24,193, 41,212,126,154)( 4, 10, 25, 28, 43, 32,122,124)
( 5,100, 20,103, 35, 92,125, 94)( 6,160, 18,148, 39,182,131,214)
( 7,115, 27, 73, 38,197,134,169)( 8,205, 29,178, 37,107,132, 64)
( 9,190, 26,223, 36,152,123,139)( 11,220, 21,163, 33,137,129,184)
( 12, 70, 23,208, 44,167,127,109)( 14,175, 22,118, 42, 62,128,199)
( 15, 55, 16, 88, 45, 47,121, 79)( 46, 76, 90, 60)( 48,136, 84,195,
56,211, 81,165)( 50, 91, 80,105)( 51,151, 78,150, 54,181, 86,225)
( 52,106, 87, 75, 53,196, 89,180)( 57, 61, 83,210, 59,166, 82,120)
( 63,143,204,194,176,217,111,162)( 65, 98,200,104,170, 97,110,102)
( 66,158,198,149,174,187,116,222)( 67,113,207, 74,173,202,119,177)
( 68,203,209,179,172,112,117, 72)( 69,188,206,224,171,157,108,147)
( 71,218,201,164,168,142,114,192)( 93,140, 99,185,101,215, 96,155)
(138,144,189,191,221,216,156,153)(141,159,183,146,219,186,161,213) ]
],
[ 5, 1036800, 0, "4c",
[ [ 12, 1 ], [ 36, 1 ], [ 16, 1 ], [ 96, 1 ], [ 64, 1 ] ], 1,
"Sym(6) wreath Sym(2)", [ "A", 6, 2 ],
[ ( 1,108)( 2,111, 9,109)( 3,106)( 4,107, 6,114)( 5,119, 8,117)
( 7,112)( 10,120, 13,116)( 11,115, 15,118)( 12,110, 14,113)( 16,198)
( 17,201, 24,199)( 18,196)( 19,197, 21,204)( 20,209, 23,207)( 22,202)
( 25,210, 28,206)( 26,205, 30,208)( 27,200, 29,203)( 31,123)
( 32,126, 39,124)( 33,121)( 34,122, 36,129)( 35,134, 38,132)( 37,127)
( 40,135, 43,131)( 41,130, 45,133)( 42,125, 44,128)( 46, 48)
( 47, 51, 54, 49)( 50, 59, 53, 57)( 55, 60, 58, 56)( 61, 78)
( 62, 81, 69, 79)( 63, 76)( 64, 77, 66, 84)( 65, 89, 68, 87)( 67, 82)
( 70, 90, 73, 86)( 71, 85, 75, 88)( 72, 80, 74, 83)( 91,183)
( 92,186, 99,184)( 93,181)( 94,182, 96,189)( 95,194, 98,192)( 97,187)
(100,195,103,191)(101,190,105,193)(102,185,104,188)(136,213)
(137,216,144,214)(138,211)(139,212,141,219)(140,224,143,222)(142,217)
(145,225,148,221)(146,220,150,223)(147,215,149,218)(151,153)
(152,156,159,154)(155,164,158,162)(160,165,163,161)(166,168)
(167,171,174,169)(170,179,173,177)(175,180,178,176),
( 1, 67,182, 35,136, 71, 2, 37,181, 65,137, 41)( 3, 52,190,170,143,
221, 9,202,195, 20,149,101)( 4,112,184,110,139,116)( 5,142,191)
( 6,127,193, 80,147,161)( 7,187,185,140,146, 11)( 8,217,189,200,
150, 26, 14, 97,183, 50,145,176)( 10,172,188,215,144,206, 15, 22,194,
95,138, 56)( 12,157,186,125,148, 86)( 13, 82,192,155,141,131)
( 16, 74, 92, 33, 46, 70,167, 38,211, 69,197, 45)( 17, 44, 91, 63, 47,
40,166, 68,212, 39,196, 75)( 18, 59,100,168, 53,220,174,203,225, 24,
209,105)( 19,119, 94,108, 49,115,169,113,214,114,199,120)
( 21,134,103, 78, 57,160,171,128,223, 84,207,165)( 23,224, 99,198, 60,
25,179, 98,213, 54,205,180)( 27,164, 96,123, 58, 85,177,158,216,129,
208, 90)( 28, 89,102,153, 51,130,178, 83,222,159,201,135)
( 29,104, 93, 48, 55,175,173,218,219,204,210, 30)( 31, 61, 62, 32)
( 34,106, 64,107)( 36,121, 73, 77, 42,151, 66,122, 43, 76, 72,152)
( 79,117,154,111,124,118)( 81,132,163)( 87,162,156,126,133, 88) ] ],
[ 6, 812851200, 0, "4c", [ [ 28, 1 ], [ 196, 1 ] ], 1, "Alt(8) wreath Sym(2)",
[ "A", 8, 2 ],
[ ( 1,158,217,133,168,110)( 2,188,224, 28,174,140)( 3,113,211,163,172,125
)( 4, 83,216,208,180, 95)( 5, 8,218,223,178,170)( 6,203,225,103,
169, 80)( 7,128,213,118,166,155)( 9,143,212,193,179, 20)
( 10, 38,222, 58,176, 65)( 11, 68,220, 43,177, 50)( 12, 53,221, 73,
175, 35)( 13,173,215)( 14, 23,219,148,167,185)( 15, 98,214, 88,171,
200)( 16,159,142,122,183,119)( 17,189,149)( 18,114,136,152,187,134)
( 19, 84,141,197,195,104)( 21,204,150, 92,184, 89)( 22,129,138,107,
181,164)( 24,144,137,182,194, 29)( 25, 39,147, 47,191, 74)
( 26, 69,145, 32,192, 59)( 27, 54,146, 62,190, 44)( 30, 99,139, 77,
186,209)( 31,162, 52,131, 63,115)( 33,117, 46,161, 67,130)
( 34, 87, 51,206, 75,100)( 36,207, 60,101, 64, 85)( 37,132, 48,116,
61,160)( 40, 42, 57, 56, 71, 70)( 41, 72, 55)( 45,102, 49, 86, 66,
205)( 76,156,202,135, 93,109)( 78,111,196,165, 97,124)
( 79, 81,201,210,105, 94)( 82,126,198,120, 91,154)( 90, 96,199)
(106,151,157,127,123,108)(112,121,153),
( 1,104,145,111, 3, 89,143, 36)( 2, 29,147, 51, 5,134,144,186)
( 4, 74,146,171)( 6, 14,149,141)( 7,209,142,201)( 8, 44,136, 96,
10,119,138, 81)( 9,194,137, 21, 12, 59,140,126)( 11,179,139, 66)
( 13,224,148,216)( 15,164,150,156)( 16,102, 55,110,123, 84,188, 32)
( 17, 27, 57, 50,125,129,189,182)( 18, 87, 53, 35,121, 99,190,107)
( 19, 72, 56,170,124, 69,191,167)( 20,132, 54,185,122, 24,192, 47)
( 22,207, 52,200,127,204,187,197)( 23, 42, 46, 95,130,114,183, 77)
( 25,117, 48, 80,128, 39,181, 92)( 26,177, 49, 65,131,174,184, 62)
( 28,222, 58,215,133,219,193,212)( 30,162, 60,155,135,159,195,152)
( 31, 91,100,115,108, 78, 83, 38)( 33, 76, 98, 40,106, 93, 85,113)
( 34, 61,101,175,109, 63, 86,173)( 37,196, 97,205,112,198, 82,203)
( 41,166, 94, 70,116,168, 79, 68)( 43,211,103,220,118,213, 88,218)
( 45,151,105,160,120,153, 90,158)( 64, 71,176,169)( 67,206,172,199)
( 73,221,178,214)( 75,161,180,154)(157,210)(163,225)(208,217) ] ],
[ 7, 855006126362099712000000, 0, "4c", [ [ 28, 1 ], [ 196, 1 ] ], 1,
"Alt(15) wreath Sym(2)", [ "A", 15, 2 ],
[ ( 1,126, 39,190, 95, 78, 58,150,206,106,171, 69, 25,215,153, 13,135, 41,
181, 96, 84, 55,140,198,118,180, 71, 16,216,159, 10,125, 33,193,105,
86, 46,141,204,115,170, 63, 28,225,161)( 2,127, 44,182, 97, 89, 47,
142,209,107,172, 74, 17,217,164)( 3,133, 45,191, 91, 81, 54,145,200,
108,178, 75, 26,211,156, 9,130, 35,183,103, 90, 56,136,201,114,175,
65, 18,223,165, 11,121, 36,189,100, 80, 48,148,210,116,166, 66, 24,
220,155)( 4,132, 38,184,102, 83, 49,147,203,109,177, 68, 19,222,158)
( 5,123, 43,195,101, 76, 51,144,205,110,168, 73, 30,221,151, 6,129,
40,185, 93, 88, 60,146,196,111,174, 70, 20,213,163, 15,131, 31,186,
99, 85, 50,138,208,120,176, 61, 21,219,160)( 7,134, 32,187,104, 77,
52,149,197,112,179, 62, 22,224,152)( 8,124, 42,188, 94, 87, 53,139,
207,113,169, 72, 23,214,162)( 12,128, 34,192, 98, 79, 57,143,199,117,
173, 64, 27,218,154)( 14,122, 37,194, 92, 82, 59,137,202,119,167, 67,
29,212,157), ( 1, 61, 74,194,195,120,112,142,144,174,177, 57, 50,
20, 23, 83, 85, 10)( 2,211, 63,164,193, 45,116,202,141, 99,167,222,
48,155, 28, 38, 86,205, 6, 91, 62,224,183,165,118, 37,146,204,171,
102, 47,215, 18,158, 88, 40, 11,196, 66,104,182,225,108,157,148, 39,
176,207, 51, 95, 17,218, 78,160, 13, 31, 71,209,186,105,107,217,138,
159,178, 42, 56,200, 21, 98, 77,220, 3,151, 73, 44,191,210,111, 97,
137,219,168,162, 58, 35, 26,203, 81,100)( 4,121, 64,134,184,135,109,
127,139,129,169,132, 49,125, 19,128, 79,130)( 5, 16, 68, 89,190, 15,
106, 67,149,189,180,117, 52,140, 24,173, 87, 55)( 7,136, 69,179,192,
60,110, 22,143, 84,175, 12, 46, 65, 29,188, 90,115)( 8, 76, 70, 14,
181, 75,119,187,150,114,172,147, 54,170, 27, 53, 80, 25)
( 9,166, 72, 59,185, 30,113, 82,145)( 32,221,198,156,103)
( 33,161,208, 36,101,197,216, 93,152,223)( 34,131,199,126, 94,122,214,
123,154,133)( 41,206,201, 96, 92,212,213,153,163, 43) ] ],
[ 8, 1710012252724199424000000, 0, "4c", [ [ 28, 1 ], [ 196, 1 ] ], 1,
"Alt(15)^2.2^2", [ "A", 15, 2 ],
[ ( 1,129, 14, 54, 6, 24, 15, 69, 5,189, 4,204, 2,159, 10,144, 13, 39,
12,219, 11, 99, 7,114, 3, 84)( 8,174)( 16,135, 74, 50,186, 19,
210, 62,155,190,139,208, 32,162,220,146,103, 37,117,213, 86, 91,127,
119, 48, 81)( 17,165, 70,140,193, 34,207,212,161,100,142,118, 33, 87,
211,131,104, 52,111, 18, 90, 61,125,194, 49,201)( 20,195, 64,200,182,
154,205,137,163, 40,147,223, 41,102,217,116, 93, 82,106,123, 89, 46,
126, 29, 60, 66)( 21, 30, 75, 65,185,184,199,197,152,160,145,148, 43,
42,222,221,101, 97,112,108, 78, 76,121,134, 59, 51)( 22,120, 63, 80,
181,124,209, 47,156, 25,150, 73, 35,192,214,206, 92,157,115,138, 88,
31,132,224, 56, 96)( 23,180, 68,170,188,169,203,167,158,175,143,178,
38,177,218,176, 98,172,113,168, 83,166,128,179, 53,171)
( 26,105, 67,110,183, 79,196,122,164, 55,141, 28, 45, 72,215,191, 94,
202,107,153, 85,136,133, 44, 57,216)( 27,225, 71, 95,187,109,198, 77,
151,130,149, 58, 36),
( 1,188, 30,212,157,109, 48, 76,193, 45,221, 97,119,168, 87, 13, 38,
26, 92,164,169, 57)( 2,158, 19, 47,151,184, 60,211,187,120,213, 82,
118, 33, 86,103, 44,176,102, 14,173, 27)( 3, 83, 28, 32,161, 94, 59,
166,192, 15,218, 22,107,153, 79, 58, 31,191,105,224,172,117)
( 4, 53, 16,182,165,214, 52,106,183, 90,223, 37,116, 93, 89,178, 42,
11, 98, 29,167,162)( 5,143, 24,122,155,139, 54,121,185,150,219,127,
110,138, 84,133, 35,146, 99,134,170,147, 9,128, 20,137,159,124, 50,
136,189,135,215,142,114,123, 80,148, 39,131, 95,149,174,132)
( 6, 68, 25,197,156, 64, 55,196,186, 75,220,202,111, 63, 85,208, 36,
71,100,209,171, 72, 10,203, 21, 62,160,199, 51, 61,190,210,216, 67,
115,198, 81, 73, 40,206, 96, 74,175,207)( 7,113, 18, 77,163, 34, 56,
91,194,180,222)( 8, 23, 17,152,154, 49, 46,181,195,225,217,112,108,
78, 88, 43, 41,101,104,179,177, 12)( 65,145,204,126)( 66, 70,205,201
)( 69,130,200,141)(125,140,144,129) ] ],
[ 9, 1710012252724199424000000, 0, "4c", [ [ 28, 1 ], [ 196, 1 ] ], 1,
"Alt(15)^2.4", [ "A", 15, 2 ],
[ ( 1, 20, 41,158, 88,210, 6, 95, 44,173, 85, 60)( 2,140, 33,128, 79, 75,
7,110, 32,143, 78,135, 4, 65, 37,113, 77,150, 3,125, 34, 68, 82,120
)( 5, 35, 38, 83, 90, 15)( 8, 80, 45)( 9,185, 42,218, 84,195, 12,
215, 39,188, 87,225)( 10, 50, 31, 23, 86,165, 13,200, 36, 98, 89,180)
( 11,155, 43,203, 81,105, 14,170, 40, 53, 76, 30)( 16, 26,161,163,208,
201, 96,104,179,175, 55, 46)( 17,146,153,133,199, 66, 97,119,167,145,
48,121, 19, 71,157,118,197,141, 93,134,169, 70, 52,106)
( 18,131,154, 73,202,111, 92,149,168,130, 49, 61, 22,116,152,148,198,
126, 94, 74,172,115, 47,136)( 21,101,164,178,205, 51, 91, 29,176,160,
58,196)( 24,191,162,223,204,186,102,224,174,190, 57,211)
( 25, 56,151, 28,206,156,103,209,171,100, 59,166)( 27,221,159,193,207,
216, 99,194,177,220, 54,181)( 62,142,108,122,139, 63,127,109)
( 64, 67,112,107,137,138,123,124)( 69,187,117,212,144,183,132,214)
( 72,217,114,182,147,213,129,184)(189,192,222,219),
( 1,188, 27,206,127, 94, 44,120, 47,166,190, 12,203, 22,101,134,109,
32,180, 55)( 2,173, 25, 11,128, 19, 41,135, 49, 31,195, 57,196,187,
102,209,112, 92,179,115)( 3, 68, 20,221,129,139, 33, 75, 50,211,189,
147,198, 67, 95,224,114,137,168, 70, 5,218, 24,146,123, 64, 35,225,
54,136,183, 72,200,217, 99,149,108, 62,170,220, 9,143, 18, 71,125,
214, 39,150, 48, 61,185,222,204,142, 93, 74,110,212,174,145)
( 4, 38, 30, 56,121,184, 42,210, 52, 91,194,117,197,172,100, 14,113,
17,176,130)( 6, 83, 21, 86,126, 79, 36, 90, 51, 76,186, 87,201, 82,
96, 89,111, 77,171, 85)( 7, 98, 29,116,122,169, 40, 15, 53, 16,191,
132,199, 37,105, 59,106,182,177,205)( 8, 23, 26,131,124, 34, 45, 60,
46,181,192,207,202, 97,104,119,107,167,175, 10)( 13,158, 28,161,133,
154, 43,165, 58,151,193,162,208,157,103,164,118,152,178,160)
( 63, 65,215,219,144,138)( 66, 80,216, 84,141, 78)( 69,140,213)
( 73,155,223,159,148,153)( 88,156) ] ],
[ 10, 3420024505448398848000000, 0, "4c", [ [ 28, 1 ], [ 196, 1 ] ], 1,
"Sym(15) wreath Sym(2)", [ "A", 15, 2 ],
[ ( 1,103,221,152, 23,144,126,187, 10, 88,211, 92, 26,159,128,142, 6,193,
220, 77, 16, 99,131,157, 8,148,216,182, 25, 84,121, 97, 11,163,218,
137, 21,189,130, 82)( 2, 28,219,122, 22, 9,133,217)
( 3,118,224,167, 27,204,124, 37, 15, 58,215, 62, 18,114,134,172, 12,
208,214, 32, 30, 54,125, 67)( 4, 43,225, 47, 20, 69,123,112, 14,178,
222,197, 19, 39,135, 52, 5, 73,213,107, 29,174,132,202)
( 7, 13,223,212, 17, 24,129,127)( 31,105, 56,155, 68,138,111,194,175,
87,196, 94, 41,165, 53,140, 66,183,115, 89,166,102,206,154, 38,150,
51,185, 70, 78,106,104,176,162,203,139, 36,195, 55, 80, 61, 93,116,
164,173,147,201,184, 40, 90, 46, 95, 71,153,113,149,171,192,205, 79)
( 33,120, 59,170, 72,198,109, 44,180, 57,200, 64)( 34, 45, 60, 50, 65,
63,108,119,179,177,207,199)( 35, 75, 48,110, 74,168,117,209,169, 42,
210, 49)( 76, 91,101,161,158,143,141,186,190, 85)( 81,181,100, 86,
151, 98,146,156,188,145)( 83,136, 96,191,160),
( 1,184,122, 72, 54,176, 3,199,130,162, 59, 26, 15, 79,127,117, 50,
146, 13, 94,121,192, 47, 71, 9,169,123,207, 55,161, 14, 19,135, 87,
52,116, 5,139,133,102, 46,191, 2, 64,129,177, 48,206, 10,154,134,
27, 60, 86, 7,109,125,147, 58,101)( 4,124,132, 57, 56, 11)
( 6, 34,126, 42, 51, 41)( 8,214,128,222, 53,221)( 12, 49,131)
( 16,195, 77, 67,114,170,138,208,100,151,194, 17, 75, 84,172,108,200,
145,163,104)( 18,210, 85,157,119, 20,150, 88, 97,106,185,137, 73, 99,
166,183,197, 70,159,179)( 21, 45, 81, 37,111, 35,141, 43, 96, 31,186,
32, 66, 39,171, 33,201, 40,156, 44)( 22,120, 80,142,118, 95,136,193,
92, 61,189,167, 63,204,175,153,209, 25,165, 89)( 23,225, 83,217,113,
215,143,223, 98,211,188,212, 68,219,173,213,203,220,158,224)
( 24,180, 78,202,115,155,149, 28,105, 76,187,107, 65,144,178, 93,196,
190,152, 74)( 29, 30, 90, 82,112,110,140,148,103, 91,181,182, 62, 69,
174,168,198,205,160,164)( 38,216) ] ],
[11, Factorial(225)/2,1,"2",[[224,1]],223, "Alt(225)", ["A",225, 1], "Alt"],
[12, Factorial(225),0,"2",[[224, 1]],225, "Sym(225)", ["A",225, 1], "Sym"]];
PRIMGRP[226]:=
[[1, Factorial(226)/2,1,"2",[[225,1]],224, "Alt(226)", ["A",226, 1], "Alt"],
[2, Factorial(226),0,"2",[[225, 1]],226, "Sym(226)", ["A",226, 1], "Sym"]];
PRIMGRP[227]:=
[[ 1, 227, 3, "1", [ [ 1, 226 ] ], 1, "C(227)", [ "Z", 227, 1 ], [ ] ],
[ 2, 454, 2, "1", [ [ 2, 113 ] ], 1, "D(2*227)", [ "Z", 227, 1 ],
[ [ [ Z(227)^113 ] ] ] ],
[ 3, 25651, 2, "1", [ [ 113, 2 ] ], 1, "227:113", [ "Z", 227, 1 ],
[ [ [ Z(227)^2 ] ] ] ],
[ 4, 51302, 2, "1", [ [ 226, 1 ] ], 2, "AGL(1, 227)", [ "Z", 227, 1 ],
[ [ [ Z(227) ] ] ] ],
[5, Factorial(227)/2,1,"2",[[226,1]],225, "Alt(227)", ["A",227, 1], "Alt"],
[6, Factorial(227),0,"2",[[226, 1]],227, "Sym(227)", ["A",227, 1], "Sym"]];
PRIMGRP[228]:=
[[ 1, 5848428, 1, "2", [ [ 227, 1 ] ], 2, "PSL(2, 227)",
[ "L", [ 2, 227 ], 1 ], "psl" ],
[ 2, 11696856, 0, "2", [ [ 227, 1 ] ], 3, "PGL(2, 227)",
[ "L", [ 2, 227 ], 1 ], "pgl" ],
[3, Factorial(228)/2,1,"2",[[227,1]],226, "Alt(228)", ["A",228, 1], "Alt"],
[4, Factorial(228),0,"2",[[227, 1]],228, "Sym(228)", ["A",228, 1], "Sym"]];
PRIMGRP[229]:=
[[ 1, 229, 3, "1", [ [ 1, 228 ] ], 1, "C(229)", [ "Z", 229, 1 ], [ ] ],
[ 2, 458, 2, "1", [ [ 2, 114 ] ], 1, "D(2*229)", [ "Z", 229, 1 ],
[ [ [ Z(229)^114 ] ] ] ],
[ 3, 687, 2, "1", [ [ 3, 76 ] ], 1, "229:3", [ "Z", 229, 1 ],
[ [ [ Z(229)^76 ] ] ] ],
[ 4, 916, 2, "1", [ [ 4, 57 ] ], 1, "229:4", [ "Z", 229, 1 ],
[ [ [ Z(229)^57 ] ] ] ],
[ 5, 1374, 2, "1", [ [ 6, 38 ] ], 1, "229:6", [ "Z", 229, 1 ],
[ [ [ Z(229)^38 ] ] ] ],
[ 6, 2748, 2, "1", [ [ 12, 19 ] ], 1, "229:12", [ "Z", 229, 1 ],
[ [ [ Z(229)^19 ] ] ] ],
[ 7, 4351, 2, "1", [ [ 19, 12 ] ], 1, "229:19", [ "Z", 229, 1 ],
[ [ [ Z(229)^12 ] ] ] ],
[ 8, 8702, 2, "1", [ [ 38, 6 ] ], 1, "229:38", [ "Z", 229, 1 ],
[ [ [ Z(229)^6 ] ] ] ],
[ 9, 13053, 2, "1", [ [ 57, 4 ] ], 1, "229:57", [ "Z", 229, 1 ],
[ [ [ Z(229)^4 ] ] ] ],
[ 10, 17404, 2, "1", [ [ 76, 3 ] ], 1, "229:76", [ "Z", 229, 1 ],
[ [ [ Z(229)^3 ] ] ] ],
[ 11, 26106, 2, "1", [ [ 114, 2 ] ], 1, "229:114", [ "Z", 229, 1 ],
[ [ [ Z(229)^2 ] ] ] ],
[ 12, 52212, 2, "1", [ [ 228, 1 ] ], 2, "AGL(1, 229)", [ "Z", 229, 1 ],
[ [ [ Z(229) ] ] ] ],
[13, Factorial(229)/2,1,"2",[[228,1]],227, "Alt(229)", ["A",229, 1], "Alt"],
[14, Factorial(229),0,"2",[[228, 1]],229, "Sym(229)", ["A",229, 1], "Sym"]];
PRIMGRP[230]:=
[[ 1, 6004380, 1, "2", [ [ 229, 1 ] ], 2, "PSL(2, 229)",
[ "L", [ 2, 229 ], 1 ], "psl" ],
[ 2, 12008760, 0, "2", [ [ 229, 1 ] ], 3, "PGL(2, 229)",
[ "L", [ 2, 229 ], 1 ], "pgl" ],
[3, Factorial(230)/2,1,"2",[[229,1]],228, "Alt(230)", ["A",230, 1], "Alt"],
[4, Factorial(230),0,"2",[[229, 1]],230, "Sym(230)", ["A",230, 1], "Sym"]];
PRIMGRP[231]:=
[[ 1, 443520, 1, "2", [ [ 160, 1 ], [ 40, 1 ], [ 30, 1 ] ], 1, "M_22",
[ "Spor", "M(22)", 1 ],
[ ( 2,154)( 3, 4)( 5,184)( 6, 22)( 7,167)( 8,139)( 9, 55)( 10, 75)
( 11,122)( 13,114)( 14,126)( 16, 87)( 17,166)( 18,162)( 19, 79)
( 20, 50)( 21,230)( 23,145)( 24,229)( 25,201)( 26,226)( 27,118)
( 28, 89)( 29,152)( 30,120)( 31, 41)( 32,200)( 33,156)( 34, 71)
( 35, 53)( 36,102)( 38,107)( 39,128)( 40, 62)( 42, 86)( 44,220)
( 45, 67)( 46,115)( 47,105)( 48,148)( 49, 91)( 52, 69)( 56, 78)
( 57,158)( 58,205)( 59, 68)( 60,119)( 61,192)( 63,160)( 64, 65)
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( 7,110, 87, 56,226, 17,241,197,195,214,193,145, 70, 77, 89)
( 10,202, 61,129,200,106,148, 96,163,115,158, 22,210,147, 37)
( 11, 90, 91, 43,198,141, 24,161,213, 98,239,201,234,167, 60)
( 16, 36,154,227, 62, 53,142,119,149,242, 65, 80, 23, 64,116)
( 18, 58, 75, 63,223, 85,139,143,240, 59,217,114, 20,174, 44)
( 19,205, 32,243,131,105, 41,140, 35,118, 94,220,230,236, 68)
( 26, 78, 30, 45,215,182,138,103, 39,136, 95,181,173, 79,218)
( 27, 34,128,155,111, 42,124, 49,164,190,144,232, 46,137,191)
( 38,165, 73, 52,244,175,216, 74,207,121, 50, 88,153,156,189)
( 40,224,112, 86,133,192,102,104,107,196,162, 72, 81,172,146)
( 51,206,219,122,212,221,150,185,228,108, 97,125,225,184, 57)
(100,127,109), ( 1, 60,197)( 2, 17, 4,126, 58, 92,136, 83,220,193,
62,160,105, 64,169)( 3, 30,119,108,244,179,150,170,110, 87, 74, 42,
21,141,202)( 5,184,190,138, 63,171,192,211,187,109,210,198, 39,217,
23)( 6,227,104,181, 29, 57,118,221,139,133,155, 7, 36, 75,128)
( 8,134,143,122,223, 77, 26, 46, 52,175,219,146,162,107,116)
( 9, 55, 67,222,206, 85, 56,113,228,186,182, 20,153,236,189)
( 10,142, 34, 89,144,154,117,225,176, 90,127,195, 59,218, 80)
( 11,174, 33, 70,166,212,114, 14,196, 49,232, 84,130,151, 22)
( 12, 18,213,231, 25, 95, 78,205,234,224, 19,235,194,214,106)
( 13, 94, 99,229, 50,115, 79,168,149,112, 31,129,201, 51,200)
( 15,163,102,121,226, 24,145,241,156,215,135, 61,173,120,207)
( 16,233,111,137, 48, 40, 38, 44,209, 43,159,203,237,230,147)
( 27,101,172, 28,238,191, 37, 71, 76, 91,125,239, 93,123,167)
( 32, 73, 97,178,103, 96,204, 82,243, 45, 86,131, 47,180,216)
( 35,188, 98,183,161, 66,208,158,132, 41, 68,165,185, 65,152)
( 53,124,177,157,140,100, 54,242, 81,199,148, 69,240,164, 72) ] ],
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[ ( 3,235, 87,205,123,135, 78,218,214,121,115, 54, 25,156,145,107,147,144,
110,202, 90,131,188, 35,232, 6,170,175,151,229, 38,190,225,146, 76,
219, 94,194,236,186, 8, 64,165,164,177,198, 71,109,172,173,141,150,
56,215, 81, 58,242, 4,227, 63,231, 47,210, 37,200, 16,184, 20,243,
5,189,166, 32,191, 97,106, 74, 75,138,176, 49, 70, 83, 82,183,239,
61, 11, 53,153, 28,171,101, 22, 57,209, 18, 96, 72, 77,241, 15,212,
59,116,157, 45,137,103,100,140,102, 91,222,193,132,126, 33, 29,169,
112,124, 42,160, 12,244,125,108, 44,234, 55, 84,238, 80, 73,149,223,
204, 10,195,180, 85, 89, 26, 36,182,155,224, 7,207, 50, 14, 51,118,
217,117,181, 19,104,148,178,120,208, 68,201,226,154,119,142,159,161,
168, 31,136,206, 60,230,199,113, 62, 95, 27,133, 34,213,114,220,152,
185,134, 48, 17,187, 41,111,216, 79, 86, 88,105,128, 93, 21, 46,179,
39,127, 69, 99,143,228, 66,130, 30,129,196,233,197, 40,240, 23, 92,
65,211,221,158,162, 67, 52,237, 43, 24, 98,174,167, 9,163,192, 13,
203,139,122), ( 1,133, 2)( 3,174,187)( 4,234,203)( 5,190, 82)
( 6,134, 66)( 7,109, 43)( 8, 76,100)( 9, 16,244)( 10, 63, 52)
( 11, 41,182)( 12,148, 89)( 13, 19, 38)( 14,194,192)( 15,221,241)
( 17, 40,147)( 18, 86,238)( 20, 32,177)( 21,105,232)( 22,130,112)
( 23,227,224)( 24,157,153)( 25,237,213)( 26, 68,169)( 27,184,113)
( 28,204, 88)( 29,199, 55)( 30,108,239)( 31, 84, 42)( 33,212,127)
( 34,220,242)( 35,102,173)( 36,197,200)( 37,162,223)( 39,139, 65)
( 44,160,206)( 45,155,136)( 46,175,216)( 48,122,163)( 49,202,183)
( 50,132,178)( 51,229, 87)( 53, 83,156)( 54, 77,191)( 56, 75, 81)
( 57,115,176)( 58,138,141)( 59,165,236)( 60, 96,118)( 61,211,126)
( 62, 74,161)( 64, 99,230)( 67,225,154)( 69,125,101)( 70,185,181)
( 71,114,111)( 72,226,208)( 73,106,233)( 78, 85, 94)( 79, 97,117)
( 80,146,144)( 90,135,104)( 91,151,164)( 92,205, 93)( 95,149,140)
( 98,119,170)(103,137,228)(107,145,217)(110,201,235)(116,124,128)
(120,159,209)(121,193,231)(123,167,152)(129,179,218)(131,188,180)
(142,143,172)(150,207,158)(166,195,196)(168,219,240)(171,215,186)
(189,243,198)(210,214,222), ( 3,112, 13,103, 21)( 4,173, 6,216, 92)
( 5,239, 80,219,158)( 7, 49, 29, 98, 28)( 8,139,193, 23, 81)
( 9, 77, 60,120,169)( 10,141,151,179, 78)( 11,195,215,194, 24)
( 12,214, 36,243, 83)( 14,153,182,166,171)( 15, 27, 62,136,117)
( 16,191, 96,159, 26)( 17,143,131, 34,114)( 18,154, 73,236,167)
( 19,137,105,174, 22)( 20,176,132,211, 37)( 25,181,116, 48,127)
( 30,146,240,150,190)( 31, 51,101,217, 72)( 32, 57,178,126,162)
( 33,237, 70,124,122)( 35,134, 46,205,234)( 38,228,232,187,130)
( 39,121,224, 75,100)( 40,172,188,220,111)( 41,196,186,192,157)
( 42, 87,125,145,208)( 43,183, 55,170, 88)( 44, 90, 95,230,201)
( 45, 79,221,184, 74)( 50, 61,223,177,115)( 52,138, 91,129, 94)
( 53, 89,210,200,189)( 54,118,209, 68,244)( 56, 76, 65,231,227)
( 58,164,218, 85, 63)( 59,152, 86, 67,106)( 64,235,160,135,149)
( 66,175, 93,203,102)( 69,107,226, 84,229)( 71,147,142,180,242)
( 82,108,144,168,207)( 97,241,113,161,155)( 99,110,206,104,140)
(109,202,199,119,204)(123,238,225,233,165)(128,163,212,213,185)
(148,222,197,198,156) ] ],
[5, Factorial(244)/2,1,"2",[[243,1]],242, "Alt(244)", ["A",244, 1], "Alt"],
[6, Factorial(244),0,"2",[[243, 1]],244, "Sym(244)", ["A",244, 1], "Sym"]];
PRIMGRP[245]:=
[[1, Factorial(245)/2,1,"2",[[244,1]],243, "Alt(245)", ["A",245, 1], "Alt"],
[2, Factorial(245),0,"2",[[244, 1]],245, "Sym(245)", ["A",245, 1], "Sym"]];
PRIMGRP[246]:=
[[1, Factorial(246)/2,1,"2",[[245,1]],244, "Alt(246)", ["A",246, 1], "Alt"],
[2, Factorial(246),0,"2",[[245, 1]],246, "Sym(246)", ["A",246, 1], "Sym"]];
PRIMGRP[247]:=
[[1, Factorial(247)/2,1,"2",[[246,1]],245, "Alt(247)", ["A",247, 1], "Alt"],
[2, Factorial(247),0,"2",[[246, 1]],247, "Sym(247)", ["A",247, 1], "Sym"]];
PRIMGRP[248]:=
[[ 1, 14880, 1, "2", [ [ 12, 1 ], [ 5, 1 ], [ 60, 2 ], [ 30, 3 ], [ 20, 1 ] ],
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( 5, 10, 18, 31, 22, 39, 68,112, 72,116,109, 9, 16, 28, 49)
( 7, 14, 13, 23, 41, 71, 52, 88,136, 38, 66, 61,104, 24, 43)
( 11, 20, 35, 60,102,148, 85, 74,120,166, 27, 48, 83, 29, 51)
( 15, 26, 46, 79,126,172,215, 84, 36, 62,105, 90,138,182,222)
( 17, 30, 53, 89,137,181,202, 87,135,179,221,156,106,153,198)
( 19, 33, 57, 97,132, 58, 99,145,191, 96,144,130,158,203,226)
( 25, 44, 76,122,169,103,150,125,170,193,231,210,147,180,177)
( 32, 56, 95,142,188,227,151,195,232,171,214,186,134,178,220)
( 34, 59,101,146,192,197,223,123, 98, 45, 78,124,117,164,207)
( 40, 70, 80,128,174,163,127,115,162,206, 82,131, 94,141,187)
( 42, 73,118,149,194, 65,110,157,201,230, 75,121,167, 54, 91)
( 47, 81,129,175,218,235,212,240, 55, 93,139,184,224,245, 77)
( 50, 86,133, 69,114,161,190,229,239,205, 63,107,154,199,234)
( 67,111,159)( 92,140,185,225,247,176,219,213,236,248,200,216,241,243,
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( 6, 13, 24)( 8, 15, 27)( 10, 19, 34)( 12, 22, 40)( 14, 25, 45)
( 16, 29, 52)( 18, 32, 51)( 20, 36, 63)( 21, 38, 67)( 23, 42, 74)
( 26, 47, 82)( 28, 50, 87)( 30, 54, 92)( 31, 55, 94)( 33, 58,100)
( 35, 61, 76)( 37, 65, 89)( 39, 69,115)( 41, 72,117)( 43, 75, 70)
( 44, 77,123)( 46, 80,108)( 48, 84,132)( 49, 85, 66)( 53, 90,139)
( 56, 96,129)( 57, 98,126)( 59, 68,113)( 60,103,151)( 62,106, 71)
( 64,109,156)( 73,119,162)( 78,125,171)( 79,127,173)( 81,130,176)
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( 99,141,118)(102,149,133)(105,152,197)(107,140,186)(110,158,198)
(111,116,163)(114,135,180)(120,159,150)(121,168,124)(122,145,179)
(128,172,216)(131,177,195)(136,157,202)(138,183,223)(142,185,226)
(144,187,215)(146,170,213)(148,193,160)(153,194,189)(154,200,219)
(155,201,207)(161,205,236)(164,167,199)(165,209,225)(166,210,238)
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(204,235,232)(208,211,239)(214,228,241)(217,231,221)(218,243,233)
(224,246,247)(229,237,240)(234,245,248) ] ],
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PRIMGRP[249]:=
[[1, Factorial(249)/2,1,"2",[[248,1]],247, "Alt(249)", ["A",249, 1], "Alt"],
[2, Factorial(249),0,"2",[[248, 1]],249, "Sym(249)", ["A",249, 1], "Sym"]];
PRIMGRP[250]:=
[[1, Factorial(250)/2,1,"2",[[249,1]],248, "Alt(250)", ["A",250, 1], "Alt"],
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PRIMGRP[251]:=
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[ 3, 1255, 2, "1", [ [ 5, 50 ] ], 1, "251:5", [ "Z", 251, 1 ],
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[ 4, 2510, 2, "1", [ [ 10, 25 ] ], 1, "251:10", [ "Z", 251, 1 ],
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[ 5, 6275, 2, "1", [ [ 25, 10 ] ], 1, "251:25", [ "Z", 251, 1 ],
[ [ [ Z(251)^10 ] ] ] ],
[ 6, 12550, 2, "1", [ [ 50, 5 ] ], 1, "251:50", [ "Z", 251, 1 ],
[ [ [ Z(251)^5 ] ] ] ],
[ 7, 31375, 2, "1", [ [ 125, 2 ] ], 1, "251:125", [ "Z", 251, 1 ],
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PRIMGRP[252]:=
[[ 1, 7906500, 1, "2", [ [ 251, 1 ] ], 2, "PSL(2, 251)",
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[ 2, 15813000, 0, "2", [ [ 251, 1 ] ], 3, "PGL(2, 251)",
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[4, Factorial(252),0,"2",[[251, 1]],252, "Sym(252)", ["A",252, 1], "Sym"]];
PRIMGRP[253]:=
[[ 1, 6072, 1, "2", [ [ 6, 2 ], [ 24, 5 ], [ 12, 10 ] ], 1, "PSL(2, 23)",
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( 7, 14, 26, 47, 84,134,104,162, 82, 35, 64)( 9, 17, 32, 58, 98,154,
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( 13, 24, 44, 79,128,184,230,153,209, 52, 91)( 16, 30, 55, 94,147,203,
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( 31, 57, 96,150,206,242,249, 41, 74,121,176)( 39, 70,115,142,199,241,
127,183,131,188,106)( 43, 78,126,169,220,212, 73,119,174,223,226)
( 45, 81, 97,152,108,166,216,229,161, 48, 86)( 50, 89,141,198,240,227,
151,207,238,111,100)( 56, 95,149,189,233,185,213,236,251,138, 59)
( 61,103,160,156,114,122,178,208,129,186,232)( 63,107,165, 77,125,181,
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( 88,139,196,215,246,218,102,158,164,193,202)(112,170,221,120,175,224,
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( 15, 29, 54)( 17, 30, 56)( 19, 35, 65)( 21, 39, 71)( 22, 41, 75)
( 24, 45, 82)( 26, 48, 87)( 28, 52, 92)( 32, 59,100)( 33, 61,104)
( 34, 63,108)( 36, 64,107)( 38, 69,114)( 40, 73,120)( 42, 77, 91)
( 44, 80,131)( 46, 83, 76)( 47, 85,137)( 49, 88,140)( 51, 86,138)
( 53, 93, 55)( 57, 97,153)( 58, 99,156)( 60,102,159)( 62,106,164)
( 66,110,169)( 67,111,139)( 68,112,171)( 70,113,172)( 72,118,101)
( 74,122,124)( 78,127,126)( 79,129,187)( 81,132,189)( 84,135,193)
( 89,142,200)( 90,144,194)( 94,148,183)( 95,146,176)( 96,151,179)
( 98,155,123)(103,161,173)(109,168,216)(115,163,215)(116,152,208)
(117,154,186)(119,130,150)(121,177,149)(125,182,229)(128,185,231)
(133,165,205)(134,191,236)(136,192,223)(141,175,143)(145,202,225)
(147,204,166)(157,212,207)(158,213,246)(160,214,220)(162,199,206)
(167,218,237)(170,222,181)(174,201,198)(178,226,247)(180,227,195)
(184,196,238)(188,224,235)(190,219,241)(197,209,243)(203,240,251)
(210,244,239)(211,230,228)(217,242,253)(221,245,233)(232,249,234)
(248,252,250) ] ],
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141,189, 85,134,194,101,156,213,103)( 5, 10, 19, 35, 62,106,160,215,
7, 14, 26)( 9, 17, 32, 57, 98,151, 95, 88,138,198, 46, 79,127,188,
233,206,135,128,190, 20, 37, 66)( 13, 24, 45, 78,126,186,237, 44, 77,
124,182,232,199,241,123,181,235, 97, 31, 56, 96,149)( 18, 34, 60,102,
115,171,220,247,216,185,238, 65,110,165,219,226,250, 40, 71, 55, 94,
147)( 27, 49, 54, 93,145,204,240, 84,133,173,175,230,208,245,125,184,
148,207,116,172,228,158)( 29, 53, 91,143,202,218,222, 90,142,187,227,
38, 68,113,169,225,248,179,209,224,249,214)( 33, 42, 74,120,177,139,
119,176,231,251,253,132,193, 50, 86,136, 48, 83,130,166,221,146)
( 36, 64,109,164,162,210,183,211,195,243,246,236, 52, 89,140,200, 59,
61,104, 58,100,154)( 63,107, 67,112,168,105,159,150, 99,152,192,242,
252, 72,117,157, 70, 92, 82,131,153,201)( 73,118,174,155,212,229, 75,
121,178,205,161,197,144, 80,129,191,203,244,108,163,217,239),
( 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, 59)
( 19, 36, 65)( 21, 40, 72)( 22, 42, 75)( 24, 46, 80)( 26, 48, 84)
( 28, 52, 90)( 30, 55, 95)( 32, 58,101)( 34, 61,105)( 35, 63,108)
( 37, 67, 45)( 39, 70,116)( 41, 73,119)( 43, 76,123)( 47, 82,132)
( 49, 85,135)( 51, 88,139)( 53, 92,144)( 56, 97, 62)( 57, 99,153)
( 60,103,157)( 64,100,155)( 66,111, 74)( 68, 69,115)( 71,107,162)
( 77,125,185)( 78,120,102)( 79,128, 91)( 81,130,192)( 83,124,183)
( 86,112,136)( 87,118,175)( 89,141,174)( 93,146,163)( 94,148,188)
( 96,150,209)( 98,114,109)(104,158,214)(106,161,159)(110,166,222)
(117,173,228)(121,179,182)(122,140,131)(126,187,239)(127,189,240)
(129,165,220)(133,164,218)(134,195,212)(137,197,171)(138,199,168)
(142,201,235)(143,203,242)(145,205,231)(147,206,245)(149,208,246)
(151,210,176)(152,211,196)(154,160,216)(156,169,226)(167,224,243)
(170,227,251)(172,229,234)(177,232,250)(178,233,217)(180,219,244)
(181,236,207)(184,237,238)(186,193,200)(190,241,191)(194,221,248)
(198,215,225)(202,223,204)(213,230,252)(247,249,253) ] ],
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"PSL(2, 23)", [ "L", [ 2, 23 ], 1 ],
[ ( 1, 2, 4, 8, 15, 28, 50, 86,143,118,131)( 3, 6, 12, 22, 40, 70,117,
181, 93,151,202)( 5, 10, 19, 34, 45, 78, 95,154,216,123,188)
( 7, 14, 26, 47, 82, 81,135,198, 79,132, 64)( 9, 17, 31, 55, 96,156,
148,211, 37, 65,112)( 11, 21, 38, 66, 98,159,215,207,111,175,100)
( 13, 24, 44, 76, 84,139,115,155,218,247,125)( 16, 29, 52, 90,147,209,
245,110,173,230,194)( 18, 33, 59,102,164, 67,114,178, 91, 51, 88)
( 20, 36, 63,109, 43, 75,126, 27, 48, 69, 97)( 23, 42, 73, 32, 57, 99,
160,222,249,252,210)( 25, 46, 80,133,197,229,246,237,196,180,191)
( 30, 54, 94,152,213,127,192, 41, 72,121,145)( 35, 62,107,169,176,221,
182,233, 77,129,104)( 39, 68,116,142,205,149,163,225,130,195,183)
( 49, 85,141,204,244,153,214,232,242,241,167)( 53, 92,150,212,179,140,
203,243,253, 61,105)( 56, 58,101,162,224,250,226, 71,119,184,234)
( 60,103,165,158,220,122,187,217,128,193,201)( 74,124,190,239,227,172,
138,161,223,108,171)( 83,137,200,236,157,219,170, 89,146,189,134)
( 87,144,208,238,251,106,168,206,240,166,228)(113,177,231,120,185,235,
248,186,199,136,174), ( 1, 3, 7)( 2, 5, 11)( 4, 9, 18)
( 6, 13, 25)( 8, 16, 30)( 10, 20, 37)( 12, 23, 43)( 14, 27, 49)
( 17, 32, 58)( 19, 35, 26)( 21, 39, 69)( 22, 41, 59)( 24, 45, 79)
( 28, 51, 89)( 29, 53, 93)( 31, 56, 98)( 33, 60,104)( 34, 61,106)
( 36, 64,111)( 38, 67,115)( 40, 71,120)( 42, 74,125)( 44, 77,130)
( 46, 81, 99)( 47, 83,138)( 48, 84,140)( 50, 87,133)( 52, 91,149)
( 54, 95,155)( 55, 97,158)( 57,100,161)( 62,108,144)( 63,110,174)
( 65, 66,113)( 68,114,179)( 70,118,183)( 72,122,160)( 73,123,189)
( 75,127,126)( 76,128,194)( 78,131,196)( 80,134,175)( 82,136,199)
( 85,142,206)( 86,132,173)( 88,145, 92)( 90,148,192)( 94,153,215)
( 96,157,102)(101,163,162)(103,166,212)(105,167,169)(107,170,229)
(109,172,187)(112,176,228)(116,180,231)(117,182,193)(119,129,152)
(121,186,237)(124,191,240)(135,171,211)(137,201,234)(139,202,242)
(141,185,236)(143,207,220)(146,181,225)(147,210,168)(150,154,217)
(151,197,241)(159,221,245)(164,226,214)(165,227,250)(177,232,190)
(178,188,238)(184,209,204)(195,235,252)(198,205,213)(203,218,248)
(208,219,224)(216,246,223)(222,244,253)(230,251,247)(233,249,243) ] ],
[ 4, 10200960, 1, "2", [ [ 210, 1 ], [ 42, 1 ] ], 1, "M_23",
[ "Spor", "M(23)", 1 ],
[ ( 1, 2)( 3, 5)( 4, 7)( 6, 10)( 8, 13)( 9, 15)( 12, 18)( 14, 20)
( 16, 22)( 17, 24)( 23, 30)( 25, 32)( 26, 34)( 28, 36)( 29, 38)
( 31, 41)( 33, 44)( 37, 49)( 40, 52)( 43, 55)( 45, 58)( 46, 59)
( 47, 60)( 48, 61)( 50, 63)( 51, 65)( 53, 67)( 54, 69)( 56, 71)
( 57, 73)( 62, 78)( 64, 81)( 66, 84)( 68, 86)( 70, 89)( 74, 93)
( 75, 94)( 76, 96)( 77, 97)( 79,100)( 80,102)( 82, 95)( 83,105)
( 87,108)( 88,109)( 90,111)( 91,113)( 92,115)( 98,120)( 99,122)
(101,125)(103,127)(104,129)(106,131)(107,132)(110,136)(112,139)
(114,140)(116,143)(117,145)(118,146)(119,148)(121,151)(123,153)
(124,154)(126,157)(128,160)(130,161)(133,164)(134,166)(137,142)
(138,168)(141,152)(144,173)(147,170)(149,178)(150,180)(156,186)
(158,187)(162,182)(163,190)(165,193)(167,188)(171,196)(172,197)
(174,195)(175,199)(176,201)(177,189)(179,204)(181,206)(183,184)
(191,211)(192,207)(194,214)(198,217)(202,213)(205,224)(208,225)
(215,230)(216,231)(219,234)(220,235)(222,236)(223,233)(228,238)
(232,243)(239,241)(240,248)(244,251)(245,249)(247,252),
( 1, 3, 6, 11)( 2, 4, 8, 14)( 5, 9, 16, 23)( 7, 12, 19, 26)
( 10, 17)( 15, 21, 28, 37)( 18, 25, 33, 45)( 20, 27, 35, 47)
( 22, 29, 39, 51)( 24, 31, 42, 54)( 30, 40, 44, 57)( 32, 43, 56, 72)
( 34, 46, 36, 48)( 38, 50, 64, 82)( 41, 53, 68, 87)( 49, 62, 79,101)
( 52, 66, 73, 92)( 55, 70, 90,112)( 58, 74, 67, 85)( 59, 75, 95, 89)
( 60, 76)( 61, 77, 98,121)( 63, 80,103,128)( 65, 83, 81,104)
( 69, 88,110,137)( 71, 91,114,141)( 78, 99,123,113)( 84,106)
( 86,107,133,165)( 93,116,144,174)( 94,117)( 96,118,147,132)
( 97,119,149,179)(100,124,155,185)(102,126,158,188)(105,130,162,189)
(108,134,140,170)(109,135,167,194)(111,138,169,136)(115,142,171,161)
(120,150,127,159)(122,152,182,129)(125,156,143,172)(131,163,191,212)
(145,175,200,220)(146,176,202,222)(148,177,203,157)(151,181)
(153,183,207,190)(154,184,208,226)(164,192,168,195)(173,198,218,233)
(180,205)(186,209,224,206)(187,210)(193,213,228,240)(196,215)(197,216)
(199,219,201,221)(204,223,237,235)(211,227,239,247)(214,229,234,244)
(217,232,236,245)(225,238,246,248)(230,241)(231,242,249,253)(243,250)
(251,252) ] ],
[ 5, 10200960, 1, "2", [ [ 112, 1 ], [ 140, 1 ] ], 1, "M_23",
[ "Spor", "M(23)", 1 ],
[ ( 1, 2)( 3, 5)( 4, 7)( 6, 10)( 8, 13)( 9, 15)( 11, 18)( 12, 19)
( 14, 22)( 16, 24)( 17, 26)( 20, 30)( 21, 32)( 23, 35)( 25, 38)
( 27, 40)( 29, 42)( 31, 44)( 33, 46)( 34, 48)( 36, 51)( 37, 53)
( 39, 56)( 41, 58)( 43, 60)( 45, 63)( 47, 65)( 49, 67)( 50, 69)
( 54, 73)( 57, 77)( 59, 80)( 61, 82)( 64, 86)( 66, 89)( 68, 92)
( 70, 94)( 72, 96)( 74, 99)( 75,100)( 76,101)( 78, 87)( 79,105)
( 83,109)( 84,110)( 85,112)( 88,116)( 90,117)( 93,106)( 95,123)
( 97,125)( 98,126)(102,114)(103,130)(104,132)(107,135)(111,139)
(113,141)(115,143)(118,145)(119,136)(120,147)(121,149)(122,137)
(127,155)(128,156)(129,158)(131,160)(134,162)(138,167)(140,168)
(142,170)(146,174)(148,176)(150,178)(152,180)(153,177)(154,181)
(157,185)(161,190)(163,191)(164,192)(165,193)(169,195)(171,199)
(172,201)(179,205)(182,200)(183,208)(184,210)(186,212)(187,213)
(188,215)(196,203)(198,214)(202,220)(204,216)(211,226)(217,230)
(218,231)(219,232)(222,225)(224,235)(227,233)(228,238)(236,241)
(240,244)(242,246)(243,248)(245,249)(247,251)(250,252),
( 1, 3, 6, 11)( 2, 4, 8, 14)( 5, 9, 16, 25)( 7, 12, 20, 31)
( 10, 17, 27, 41)( 13, 21, 33, 47)( 15, 23, 36, 52)( 18, 28, 32, 45)
( 19, 29)( 22, 34, 49, 68)( 24, 37, 54, 74)( 26, 39, 51, 71)
( 30, 43, 61, 83)( 35, 50, 70, 95)( 38, 55, 75, 60)( 40, 57, 78,104)
( 42, 59, 81,107)( 44, 62, 84,111)( 46, 64, 87,115)( 48, 66, 90,118)
( 53, 72, 97,116)( 56, 76,102,129)( 58, 79,100, 89)( 63, 85,113,142)
( 65, 88, 73, 98)( 67, 91,119,146)( 69, 93,121,150)( 77,103,131,161)
( 80,106,134,163)( 82,108,136,165)( 86,114, 96,124)( 92,120,148,177)
( 94,122,151,179)( 99,127)(101,128,157,186)(105,133,145,173)
(109,137,166,194)(110,138)(112,140,169,197)(117,144,172,202)
(123,152,135,164)(125,153)(126,154,182,207)(130,159,188,141)
(139,162,174,149)(143,171,200,219)(147,175,203,221)(155,183,209,181)
(156,184)(158,187,214,193)(160,189)(167,195,212,178)(168,196)
(170,198,191,216)(176,204,222,233)(180,206,224,236)(185,211,227,190)
(192,217)(199,218)(201,210,225,237)(205,223,234,208)(213,228,239,243)
(215,229,240,245)(226,232,242,247)(231,241)(235,238)(244,248,246,250)
(251,253) ] ],
[ 6, 12926008369442488320000, 1, "2", [ [ 210, 1 ], [ 42, 1 ] ], 1,
"Alt(23)", [ "A", 23, 1 ],
[ ( 2, 3, 5, 8, 12, 17, 23, 30, 38, 47, 57, 68, 80, 93,107,122,138,155,
173,192,212)( 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92,106,121,
137,154,172,191,211,232,253)( 6, 10, 15, 21, 28, 36, 45, 55, 66, 78,
91,105,120,136,153,171,190,210,231,252,233)( 9, 14, 20, 27, 35, 44,
54, 65, 77, 90,104,119,135,152,170,189,209,230,251,213,234)
( 13, 19, 26, 34, 43, 53, 64, 76, 89,103,118,134,151,169,188,208,229,
250,193,214,235)( 18, 25, 33, 42, 52, 63, 75, 88,102,117,133,150,168,
187,207,228,249,174,194,215,236)( 24, 32, 41, 51, 62, 74, 87,101,116,
132,149,167,186,206,227,248,156,175,195,216,237)( 31, 40, 50, 61, 73,
86,100,115,131,148,166,185,205,226,247,139,157,176,196,217,238)
( 39, 49, 60, 72, 85, 99,114,130,147,165,184,204,225,246,123,140,158,
177,197,218,239)( 48, 59, 71, 84, 98,113,129,146,164,183,203,224,245,
108,124,141,159,178,198,219,240)( 58, 70, 83, 97,112,128,145,163,182,
202,223,244, 94,109,125,142,160,179,199,220,241)( 69, 82, 96,111,127,
144,162,181,201,222,243, 81, 95,110,126,143,161,180,200,221,242),
( 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)
(212,233,253) ] ],
[ 7, 25852016738884976640000, 0, "2", [ [ 210, 1 ], [ 42, 1 ] ], 1,
"Sym(23)", [ "A", 23, 1 ],
[ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
91,101,111,122,133)( 4, 6, 8, 11, 14, 18, 22, 27, 32, 38, 44, 51,
58, 66, 74, 83, 92,102,112,123,134,146,145)( 9, 12, 15, 19, 23, 28,
33, 39, 45, 52, 59, 67, 75, 84, 93,103,113,124,135,147,158,157,169)
( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 76, 85, 94,104,114,125,136,
148,159,171,170,181,193)( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,
105,115,126,137,149,160,172,183,182,194,205,217)( 36, 42, 48, 55, 62,
70, 78, 87, 96,106,116,127,138,150,161,173,184,196,195,206,218,227,
235)( 49, 56, 63, 71, 79, 88, 97,107,117,128,139,151,162,174,185,197,
208,207,219,228,236,242,247)( 64, 72, 80, 89, 98,108,118,129,140,152,
163,175,186,198,209,216,220,229,237,243,248,251,253)( 81, 90, 99,109,
119,130,141,153,164,176,187,199,210,221,192,204,215,226,234,241,246,
250,252)(100,110,120,131,142,154,165,177,188,200,211,222,230,168,180,
191,203,214,225,233,240,245,249)(121,132,143,155,166,178,189,201,212,
223,231,238,144,156,167,179,190,202,213,224,232,239,244),
( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
( 90,100)(110,121)(132,144)(133,145)(146,157)(156,168)(158,170)
(171,182)(180,192)(183,195)(196,207)(204,216)(208,220) ] ],
[8, Factorial(253)/2,1,"2",[[252,1]],251, "Alt(253)", ["A",253, 1], "Alt"],
[9, Factorial(253),0,"2",[[252, 1]],253, "Sym(253)", ["A",253, 1], "Sym"]];
PRIMGRP[254]:=
[[1, Factorial(254)/2,1,"2",[[253,1]],252, "Alt(254)", ["A",254, 1], "Alt"],
[2, Factorial(254),0,"2",[[253, 1]],254, "Sym(254)", ["A",254, 1], "Sym"]];
PRIMGRP[255]:=
[[ 1, 47377612800, 1, "2", [ [ 126, 1 ], [ 128, 1 ] ], 1, "PSp(8, 2)",
[ "B", [ 4, 2 ], 1 ],
[ ( 1, 75)( 5,228)( 9,142)( 10, 58)( 11,231)( 13,222)( 14, 76)( 15,249)
( 18, 29)( 19,189)( 20,135)( 21,107)( 22,244)( 24,192)( 25,199)
( 26,238)( 30,243)( 33,185)( 34, 98)( 36,201)( 37,253)( 39, 53)
( 40,229)( 42,144)( 43,110)( 44, 88)( 46,153)( 47,125)( 48,179)
( 51,198)( 55,109)( 57,151)( 59, 90)( 60,149)( 61, 87)( 62, 82)
( 63, 71)( 64,148)( 65,190)( 66,115)( 67,246)( 69,166)( 70,206)
( 72, 78)( 73,118)( 77,138)( 79,117)( 80,203)( 81,232)( 83,178)
( 84,172)( 85,177)( 86,220)( 89,168)( 91,171)( 92,219)( 93,207)
( 94,250)( 95,213)( 97,162)( 99,237)(101,194)(105,129)(106,147)
(111,216)(113,224)(114,130)(116,169)(119,137)(120,218)(121,126)
(122,174)(124,146)(132,188)(133,202)(134,170)(136,139)(154,225)
(155,182)(156,214)(158,205)(159,163)(160,173)(164,236)(167,186)
(175,215)(176,233)(180,217)(181,240)(195,212)(209,211)(230,245)
(234,235)(239,248)(242,252)(247,254),
( 1, 5, 6, 7, 8, 4, 3, 2)( 9,250,164,162,133,251,165,238)
( 10, 73, 60,136,132,208,180,185)( 11, 96, 24, 36,131,254,120,155)
( 12,128,255, 76,130,126, 95, 80)( 13,138, 70,190,172,213,231, 23)
( 14,249, 40,156, 90,252,221, 35)( 15,182,203,204,197, 50,200,199)
( 16, 99,166,202,196, 68, 75,201)( 17,100,239,142,195, 67,109,145)
( 18,241, 49,248,194,107,183, 46)( 19,220, 92,211, 21, 41,124,147)
( 20,189)( 22,214,246,188,191,137,125,121)( 25,114,186,160,175,117,
123,112)( 26,101, 30, 31, 32,104, 28, 27)( 29,226,140,113)
( 33,115,111, 83, 61,116,161,237)( 34,207, 87, 79,157, 74,198, 77)
( 37,149, 64,242,150, 38,129,106)( 39,143,222,154,148,144,210,153)
( 42,152,146,181,219,151,212, 59)( 43,230,170,135,253, 71,206, 93)
( 44,234,215,169, 45,247, 47,167)( 48,209,243,108,184,223,105,240)
( 51,225,139, 55, 56,227,141, 52)( 53,102,192,228, 54,103,193,224)
( 57, 94, 85,158, 58,134, 86,179)( 62,171, 84,244,174,236,205, 66)
( 63, 98, 65,159,173,232,245,118)( 69, 78,127,217)( 72,187,119,218,
229,122,177, 97)( 81, 89,216, 91,163, 88,233,235)( 82,178,110,168) ]
],
[ 2, 5348063769211699200, 1, "2", [ [ 254, 1 ] ], 2, "PSL(8, 2)",
[ "L", [ 8, 2 ], 1 ],
[ ( 1, 26)( 9,114)( 13,247)( 14,129)( 15,101)( 19, 70)( 22, 44)( 24,237)
( 25,198)( 33, 47)( 34, 37)( 40,186)( 43,159)( 46,217)( 48,139)
( 51,199)( 57, 65)( 59, 85)( 61, 84)( 62,134)( 64, 92)( 67,164)
( 69,218)( 73,111)( 75,238)( 76,105)( 81,176)( 82,170)( 83,162)
( 87,172)( 88,244)( 90,177)( 91,205)( 93,211)( 95,160)( 97,178)
( 98,253)( 99,192)(110,163)(113,248)(118,216)(119,124)(120,166)
(121,155)(125,185)(126,182)(130,142)(136,179)(137,146)(148,219)
(151,190)(153,180)(158,171)(167,229)(173,213)(175,234)(189,206)
(194,249)(207,209)(215,235)(222,254)(224,239)(232,233)(236,246),
( 1, 8, 7, 6, 5, 4, 3, 2)( 9,255,254, 92,162, 12, 11, 10)
( 13,161,160, 61,188,187,186,218)( 14,217, 90, 80, 79, 78, 77, 76)
( 15, 75,184,183,182, 18, 17, 16)( 19,181,180,189, 60, 59, 21, 20)
( 22, 58, 57,191,190,179,158, 23)( 24,157,156,155, 36, 35, 34,120)
( 25,119,177,175,117,116,115,114)( 26,113, 32, 31, 30, 29, 28, 27)
( 33,112,111,172, 97,123,122,121)( 37,154,153,150,149,148, 39, 38)
( 40,147,146,208,207,136, 42, 41)( 43,135,134, 94, 93,253, 86, 85)
( 44, 84,205, 45)( 46,204,203,202,201,200,199,248)( 47,247, 82,234,
215,169,168,167)( 48,166,197,196,195,194, 50, 49)( 51,193,192, 56,
55, 54, 53, 52)( 62,159,178,118,174,173,110, 63)( 64,109,108,107,
106,105,100, 99)( 65, 98,171,236,232,245,244, 66)( 67,243,242,241,
240,239,129, 68)( 69,128,127,126)( 70,125,237,170,214,213, 72, 71)
( 73,212,211,221,220,219,185, 74)( 81, 89, 88,163, 91,216,233,235)
( 83,246,231,230,229,138,137,206)( 87,252,251,250,249,198,165,164)
( 95,133,132,131,130,238,124, 96)(101,104,103,102)(139,228,227,226,
225,224,141,140)(142,223,222,210,209,145,144,143)(151,152) ] ],
[3, Factorial(255)/2,1,"2",[[254,1]],253, "Alt(255)", ["A",255, 1], "Alt"],
[4, Factorial(255),0,"2",[[254, 1]],255, "Sym(255)", ["A",255, 1], "Sym"]];
PRIMGRP[256]:=
[[ 1, 218881568348697526272000000, 0, "4c", [ [ 225, 1 ], [ 30, 1 ] ], 1,
"Alt(16) wreath Sym(2)", [ "A", 16, 2 ],
[ ( 1,117,132,199,155,170, 32, 73,184, 45, 12,118,130,195,159,161, 21, 68,
183, 43, 10,128,137,200,157,172, 22, 66,179, 47)( 2,115,143,193,149,
164, 23, 75,186, 48, 9,120,141,204,150,162, 19, 79,177, 37, 4,119,
139,202,160,169, 24, 77,188, 38)( 3,127,129,197,148,167, 27, 74,192,
41, 8,125,140,198,146,163, 31, 65,181, 36, 7,123,138,208,153,168,
29, 76,182, 34)( 5,116,135,203,154,176, 25, 72,189, 44, 6,114,131,
207,145,165, 20, 71,187, 42, 16,121,136,205,156,166, 18, 67,191, 33)
( 11,122,144,201,152,173, 28, 70,178, 35, 15,113,133,196,151,171, 26,
80,185, 40, 13,124,134,194,147,175, 17, 69,180, 39)( 14,126,142,206,
158,174, 30, 78,190, 46)( 49, 53, 52, 55, 59, 58, 64, 57, 56, 61, 60,
54, 50, 51, 63)( 81,229,212,103, 91,234,224,105, 88,237,220,102, 82,
227,223, 97, 85,228,215,107, 90,240,217,104, 93,236,214, 98, 83,239,
209,101, 84,231,219,106, 96,233,216,109, 92,230,210, 99, 95,225,213,
100, 87,235,218,112, 89,232,221,108, 86,226,211,111)( 94,238,222,110)
(241,245,244,247,251,250,256,249,248,253,252,246,242,243,255),
( 1,229,114, 59,221, 73,102, 20,184,144,254, 81,227,146, 58, 45, 71,
6, 21,120,139,222, 89, 99,148,186, 48,247)( 2, 53,125, 75,214, 25,
104,132,190, 96,243,145,234, 34, 55, 13, 69,118, 27,216,137,110, 84,
179,160,250, 33,231)( 3,149,122, 43,215, 9,101,116,187,224,249, 97,
228,178, 64,253, 65,230, 18, 56,141, 78, 86, 19,152,138, 46, 87)
( 4,181,128,251,209,233, 98, 52,189, 80,246, 17,232,130, 62, 93, 67,
150, 26, 40,135, 14, 85,115,155,218, 41,103)( 5,117,123,219,217,105,
100,180,192,256,241,225,226, 50, 61, 77, 70, 22, 24,136,142, 94, 83,
147,154, 42, 39, 7)( 8,133,126, 91,211,153,106, 36,183, 16,245,113,
235,210, 57,109, 68,182, 32,248,129,238, 82, 51,157, 74, 38, 23)
( 10, 37,119, 11,213,121,107,212,185,112,244,177,240,242, 49,237, 66,
54, 29, 72,134, 30, 88,131,158, 90, 35,151)( 12,165,127,203,220,169,
111,196,188,176,255,193,236,162, 63,205, 76,166, 31,200,140,174, 95,
195,156,170, 47,199)( 15,197,124,171,223,201,108,164,191,208,252,161,
239,194, 60,173, 79,198, 28,168,143,206, 92,163,159,202, 44,167)
(172,175,207,204) ] ],
[ 2, 437763136697395052544000000, 0, "4c", [ [ 225, 1 ], [ 30, 1 ] ], 1,
"Alt(16)^2.2^2", [ "A", 16, 2 ],
[ ( 1,213, 4, 37, 7, 53, 2,117, 8,149, 10,245, 13,133, 6,101, 16,181,
9, 21, 15, 85, 3,197, 12,229, 11, 69, 14,165)( 17,223, 84, 35,199,
60,226,123, 72,158,170,241,221,132, 38,103, 64,178,121, 24,159, 90,
243,205,140,230,107, 80,190,169)( 18,127, 88,147,202,252,237,139, 70,
110,176,177,217, 20, 47, 87, 51,194,124,232,155, 74,254,173,129,214,
100, 48,183, 57)( 19,207, 92,227,203, 76,238,171, 65,222,164, 33,215,
52, 34,119, 56,146,122,248,157,138,246,109,144,182,105, 32,191, 89)
( 22,111, 96,179,201, 28,239, 91, 67,206,172,225,219, 68, 46,167, 49,
210,116, 40,151, 58,242,125,136,150,106,256,189,137)( 23, 63, 82,115,
200,156,234,251, 77,142,166, 97,224,180, 41)( 25, 31, 95, 83,195,204,
236,235, 75, 78,174,161,209,212, 36, 39, 55, 50,114,120,152,154,250,
253,141,134,102,112,192,185)( 26,255, 93,131,198,108,240,187, 73, 30,
175, 81,211,196, 44,231, 59, 66,126,168,145,218,244, 45,135, 54, 98,
128,184,153)( 27, 79, 94,163,193,220,228, 43, 71, 62,162,113,216,148,
42,247, 61,130,118,104,160,186,249, 29,143, 86, 99,208,188,233),
( 1,123,110, 72,255,217,161,115,190, 76, 31,224, 81,118,206, 71,159,221
)( 2, 59, 98, 56,242, 57,162, 51,178, 60, 18, 64, 82, 54,194, 55,
146, 61)( 3,187,108, 24,256, 89,166,195,183,156, 29, 16, 91,102,200,
247,153,173)( 4, 43,100, 40,244, 41,164, 35,180, 44, 20, 48, 84, 38,
196, 39,148, 45)( 5,139,101,136,245,137,165,131,181,140, 21,144, 85,
134,197,135,149,141)( 6,203,103,152,253, 9,171, 99,184,252, 25,176,
83,182,204, 23,160, 93)( 7,155,109, 8,251,105,168,243,185,172, 19,
192, 92, 22,208, 87,150,205)( 10,235,106,232,250,233,170,227,186,236,
26,240, 90,230,202,231,154,237)( 11,107,104,248,249,169,163,179,188,
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PRIMGRP[274]:=
[[1, Factorial(274)/2,1,"2",[[273,1]],272, "Alt(274)", ["A",274, 1], "Alt"],
[2, Factorial(274),0,"2",[[273, 1]],274, "Sym(274)", ["A",274, 1], "Sym"]];
PRIMGRP[275]:=
[[ 1, 898128000, 1, "2", [ [ 112, 1 ], [ 162, 1 ] ], 1, "McL",
[ "Spor", "Mc", 1 ],
[ ( 1,191)( 2,182)( 4, 81)( 5, 55)( 6, 60)( 8, 66)( 9,272)( 10,177)
( 11,192)( 12,163)( 14,242)( 15,133)( 16,107)( 18,267)( 19,108)
( 20,218)( 21,198)( 22,185)( 23,211)( 24, 82)( 25,204)( 26,195)
( 27,132)( 28,253)( 29,207)( 30, 59)( 31,179)( 32,154)( 33,264)
( 34,152)( 35, 92)( 36,189)( 37,217)( 38,197)( 39, 85)( 40,156)
( 42,184)( 43,102)( 44, 50)( 45,216)( 46, 99)( 47,181)( 49,199)
( 51,111)( 53,158)( 54,236)( 56,210)( 58,103)( 61,263)( 63,119)
( 64,138)( 65,127)( 67,105)( 68,137)( 70,125)( 71,144)( 72,219)
( 73,261)( 75,175)( 77,269)( 78,237)( 79,268)( 83,232)( 84,256)
( 86,104)( 87, 95)( 89,234)( 90,233)( 91,140)( 94,149)( 97,173)
( 98,160)(100,112)(101,123)(106,221)(109,131)(110,176)(113,262)
(114,257)(115,201)(117,260)(118,238)(120,275)(121,214)(122,225)
(124,246)(126,170)(129,141)(134,196)(135,167)(142,235)(143,224)
(145,205)(146,249)(148,226)(150,243)(153,193)(155,228)(161,231)
(164,215)(165,180)(168,222)(169,270)(171,241)(172,259)(174,212)
(178,188)(183,266)(186,203)(190,250)(202,247)(208,255)(209,251)
(213,252)(223,271)(227,274)(230,240)(239,254)(245,258)(265,273),
( 1, 24,204, 92,155)( 2, 28,272,165, 78)( 3, 67,142, 31,255)
( 4,168, 77, 17,100)( 5,118, 19,223,211)( 6,274,137, 79,245)
( 7, 98, 75, 73, 14)( 8,209, 43,139,193)( 9,266,104, 70,145)
( 10,271, 12, 13, 71)( 11,247,138,121,269)( 15,218,133,164,196)
( 16,170,182, 65,171)( 18, 26,198,124,185)( 20,128,159, 83, 38)
( 21,264, 27, 64,162)( 22,116, 53,101, 51)( 23,179,244, 80,203)
( 25, 40,177, 85,191)( 29, 56,135, 68,195)( 30,132, 42,248,146)
( 32,148,114, 49,134)( 33, 61,163, 90,227)( 34,241,233, 95,181)
( 35, 89, 82,205, 41)( 36,239,275,257,183)( 37, 54, 99,249,176)
( 39,126,189,136,230)( 44,172,153,125,119)( 45,234,222,232,212)
( 46,214, 69,167,190)( 47,140,268,174, 62)( 48, 55,113,220,235)
( 50,213,224,202,130)( 52,107,262,226, 88)( 57,221,261,129, 58)
( 59,252,260,216,166)( 60, 84,188,208,201)( 63, 94,173,210, 81)
( 66,192, 93,169,110)( 72,152,197,217,254)( 74,206,154,186,219)
( 76, 91,180,238,112)( 86,215,231,131,225)( 87,115,158,178,240)
( 96,265,161,120,144)( 97,250,243,263,109)(102,207,246,122,127)
(103,156,160,151,150)(105,267,199,111,117)(106,273,242,149,143)
(108,256,157,147,184)(123,141,259,175,200)(187,251,258,194,236)
(228,237,253,270,229) ] ],
[ 2, 1796256000, 0, "2", [ [ 112, 1 ], [ 162, 1 ] ], 1, "McL:2",
[ "Spor", "Mc", 1 ],
[ ( 1, 2)( 3, 4)( 5, 7)( 6, 8)( 9, 12)( 10, 13)( 11, 15)( 14, 19)
( 16, 21)( 17, 22)( 18, 24)( 20, 27)( 23, 31)( 25, 33)( 26, 34)
( 28, 37)( 29, 38)( 30, 40)( 32, 43)( 35, 47)( 36, 48)( 39, 51)
( 41, 53)( 42, 54)( 44, 57)( 45, 58)( 46, 60)( 49, 63)( 50, 64)
( 52, 67)( 55, 71)( 56, 72)( 59, 76)( 61, 78)( 62, 79)( 66, 82)
( 68, 85)( 69, 86)( 70, 88)( 73, 92)( 75, 94)( 77, 97)( 80,101)
( 81,102)( 83,105)( 84,106)( 87,110)( 89,112)( 90,113)( 91,115)
( 93,118)( 95,120)( 96,121)( 98,123)( 99,109)(100,125)(103,129)
(104,130)(107,133)(108,134)(111,137)(114,140)(116,142)(117,128)
(119,144)(122,147)(124,149)(126,139)(131,153)(132,154)(135,158)
(136,159)(138,161)(141,164)(143,167)(145,170)(146,172)(148,175)
(150,177)(151,178)(152,179)(157,183)(160,187)(162,189)(163,190)
(165,168)(166,193)(169,195)(171,196)(174,197)(176,192)(180,204)
(181,201)(182,206)(188,209)(191,213)(194,216)(198,221)(199,222)
(200,208)(202,225)(203,227)(205,230)(207,232)(210,218)(211,233)
(212,235)(215,236)(217,238)(219,240)(220,241)(223,244)(224,245)
(226,247)(228,249)(229,250)(231,252)(234,255)(237,257)(239,242)
(243,259)(246,261)(248,264)(253,267)(254,268)(256,269)(258,266)
(260,270)(262,271)(263,265)(272,274)(273,275),
( 1, 3, 5)( 4, 6, 9)( 7, 10, 14)( 8, 11, 16)( 12, 17, 23)
( 13, 18, 25)( 15, 20, 28)( 19, 26, 35)( 21, 29, 39)( 22, 30, 41)
( 24, 32, 44)( 27, 36, 49)( 31, 42, 55)( 33, 45, 59)( 34, 46, 61)
( 38, 50, 65)( 40, 52, 68)( 43, 56, 73)( 48, 62, 80)( 51, 66, 83)
( 53, 69, 87)( 54, 70, 89)( 57, 74, 93)( 58, 75, 95)( 60, 77, 98)
( 63, 81,103)( 64, 76, 96)( 67, 84,107)( 71, 90,114)( 72, 91,116)
( 78, 99,124)( 79,100,126)( 82,104,131)( 85,108,112)( 86,109,135)
( 88,111,138)( 92,117,123)( 94,119,125)( 97,122,148)(101,127,150)
(102,128,151)(106,132,155)(110,136,160)(113,139,162)(115,141,165)
(118,143,168)(120,145,171)(121,146,173)(129,144,169)(130,152,180)
(133,156,182)(134,157,184)(140,163,191)(142,166,172)(147,174,198)
(149,176,200)(153,181,205)(158,185,207)(159,186,170)(161,188,210)
(164,192,214)(167,194,217)(175,199,223)(177,201,224)(178,202,226)
(179,203,228)(183,193,215)(187,208,209)(189,211,234)(190,212,221)
(195,218,239)(196,219,233)(197,220,242)(204,229,251)(206,231,253)
(216,237,255)(222,243,260)(225,246,262)(227,248,257)(230,238,258)
(232,254,269)(235,256,267)(240,249,265)(247,263,261)(250,264,268)
(252,266,272)(270,271,273) ] ],
[3, Factorial(275)/2,1,"2",[[274,1]],273, "Alt(275)", ["A",275, 1], "Alt"],
[4, Factorial(275),0,"2",[[274, 1]],275, "Sym(275)", ["A",275, 1], "Sym"]];
PRIMGRP[276]:=
[[ 1, 6072, 1, "2", [ [ 22, 7 ], [ 11, 11 ] ], 1, "PSL(2, 23)",
[ "L", [ 2, 23 ], 1 ],
[ ( 1,152,227,113,122,271)( 2, 58,120,220,269,111)( 3,164, 9,209,255,110
)( 4, 83, 44,257,181, 34)( 5, 64, 77, 41, 78,130)( 6, 67, 33, 50,
186,246)( 7,159,216,182,275, 66)( 8,218,176,248,264, 49)
( 10, 11,252, 27,199,249)( 12, 93,185, 61,272,263)( 13,219,160, 15,
229, 92)( 14,155,145,188, 30,106)( 16,244,103, 38,273,228)
( 17,116, 88,162, 24,193)( 18, 62,245,109, 54, 48)( 19, 35, 69,261,
262,213)( 20, 57, 60, 59,172, 99)( 21,241,126,138,194,207)
( 22, 23,237,177,137,243)( 25,180,147,135,200,192)( 26,187,101)
( 28, 29,102, 40,128,205)( 31, 91,127,230,260,123)( 32,163,274,214,
85, 72)( 36, 86,157, 95,239, 68)( 37,104,136,224,238,270)
( 39,173,143,236,153,226)( 42,112,258,166,206,195)( 43, 84,133,250,
139,259)( 45,107,265, 65,231,124)( 46, 53,151, 87,117, 63)
( 47, 55,233,234,276,268)( 51,203,119)( 52,131,208, 70,223,202)
( 56,140,212,175, 94,158)( 71,256,165,129,144,156)( 73,197,235)
( 74, 98,132,148,179,196)( 75,168,183,184,198,211)( 76,247,146, 90,
154,242)( 79,142,189,134,210,115)( 80,222,161,170,191,232)
( 81,125,225,240, 97,150)( 82, 89, 96,190,171,254)(100,141,267,204,
253,118)(105,215,167,178,149,201)(108,251,174)(114,221,266,169,121,
217), ( 1,257,195,153, 35, 28)( 2, 75,221,272, 89,116,170,137,210,
65,222, 15)( 3, 97,233,171,260,247,188,100,224, 46, 49,178)
( 4,106,187,250,149, 47,261, 8, 10,165,122,259)( 5, 77,235, 53, 54,
33,102,234,186,236, 83,108)( 6,147,159,129,245, 45,194, 31,226,208,
61,255)( 7, 58,168,266, 13, 30,230, 79, 43,145,113,254)
( 9, 42,184,128,104,252,152, 73,156,167,132, 39)( 11,120,146, 95,172,
189, 59,201, 27,114,154,253)( 12,264, 32,160,219,176, 85,275,175, 84,
177, 98)( 14,169,248, 72,111,232,144, 29,220,217,276,131)
( 16,150,269,227, 50, 88,121,166,244,119,190, 26)( 17, 70,242,274, 19,
205,239, 23,203, 80,151,243)( 18,140,103,139, 78, 22,228,148,173,185,
115,216)( 20,263,258,133,249,126,105,229, 60, 41,181,196)
( 21, 76,237, 81, 66, 57,158,117,130, 99, 92,157)( 24,268, 69,109,240,
63)( 25, 68,214, 44, 37,267,161,199,265, 96, 40,206)( 34,218,202,251,
143,155,191, 48,197, 71,163, 87)( 36, 52,174,162, 90,136, 55,198,225,
200, 62,212)( 38, 82,273,110, 67,215,134,241,142, 86,246,180)
( 51,211,107,112,262, 74, 94,213,125,123,183,101)( 56,192,271,182,124,
141, 91, 93,193,164,179, 64)(118,204,223,270,138,135,231,127,209,207,
238,256) ] ],
[ 2, 12144, 0, "2", [ [ 22, 10 ], [ 44, 1 ], [ 11, 1 ] ], 1, "PGL(2, 23)",
[ "L", [ 2, 23 ], 1 ],
[ ( 1, 2, 4, 8, 15, 28, 49, 83,132,190,232,269,275,173,143,134,135,194,
207,252,179,224)( 3, 6, 12, 22, 41, 70,113,168,205,229, 48, 82,131,
188,244,272,276,262, 95,147,210,256)( 5, 10, 19, 35, 59,100,154,181,
62,105,123,178,211,257,242,259,193,209,255, 7, 14, 26)
( 9, 17, 32, 54, 92, 71,115, 53, 90,141,202,139, 76,124,180,239,128,
183,240, 60, 69,114)( 11, 21, 39, 66,110,165,222,265,273,254, 18, 34,
58, 98, 44, 75,122,177,117,104,157,213)( 13, 24, 43, 73,118,172, 40,
68,112,166,156)( 16, 30, 46, 79,127, 25, 45, 77, 23, 42, 36, 61,103,
109,163,169,225,184,243, 93,144,206)( 20, 37, 63,106,159,216,246,164,
221,264, 29, 51, 87,137,198,149,212,227,223,267,189,236)
( 27, 47, 81,130,187,101,155,214,186,182,111,152,175,233,260,215,167,
31, 33, 56, 96,148)( 38, 65,108,160,218,217,261,268,199,249, 64,107,
161, 88,138,200,250, 52, 89,140,201,245)( 50, 85, 72,116,170,226,241,
270, 57, 97,150, 55, 94,146,151,203, 74,120,174,231,247,158)
( 67, 91,142,204,253,197,248,266,274,145,208, 78,125,121,176,235, 84,
133,192,230,234,263)( 80,129,185, 86,136,196,119,102, 99,153,191,171,
228,195,237,271,238,126,162,219,251,220),
( 1, 3, 7)( 2, 5, 11)( 4, 9, 18)( 6, 13, 25)( 8, 16, 31)
( 10, 20, 38)( 12, 23, 34)( 14, 27, 48)( 15, 29, 52)( 17, 33, 57)
( 19, 36, 62)( 21, 40, 69)( 22, 41, 71)( 24, 44, 76)( 26, 46, 80)
( 28, 50, 86)( 30, 53, 91)( 32, 55, 95)( 35, 60,102)( 37, 64, 47)
( 39, 67,111)( 42, 72,117)( 43, 74,121)( 45, 78,126)( 49, 84,134)
( 51, 88,139)( 54, 93,145)( 56, 92,143)( 58, 99, 66)( 59,101,156)
( 61,104,158)( 63, 89, 77)( 65,109,164)( 68,113,169)( 70,110,103)
( 73,119,173)( 75,123,179)( 79,128,184)( 81, 83,115)( 82, 94, 90)
( 85,135,195)( 87,138,114)( 96,149,108)( 97,151,100)( 98,152,208)
(105,106,160)(107,162,216)(112,167,154)(116,171,229)(118,132,191)
(120,175,234)(122,146,209)(124,181,153)(125,182,241)(127,174,232)
(129,186,188)(130,141,203)(131,189,245)(133,193,235)(136,197,228)
(137,199,231)(140,176,236)(142,205,190)(144,207,187)(147,148,211)
(150,213,259)(155,177,237)(157,215,185)(159,217,262)(161,170,227)
(163,220,263)(165,202,252)(166,223,268)(168,224,257)(172,230,270)
(178,238,243)(180,240,219)(183,242,248)(192,246,218)(194,221,200)
(196,247,210)(198,201,251)(204,254,272)(206,214,260)(212,258,249)
(222,266,244)(225,269,226)(233,271,276)(239,253,255)(250,273,267)
(256,274,275)(261,265,264) ] ],
[ 3, 495766656000, 1, "2", [ [ 275, 1 ] ], 2, "Co_3", [ "Spor", "Co(3)", 1 ],
[ ( 1,245,185)( 2, 42, 87)( 3,112,266)( 4, 15, 22)( 5,131, 30)
( 6, 7,188)( 8, 75,111)( 9,132, 82)( 12,187,124)( 13,186,136)
( 14,265,213)( 16,159, 99)( 17,256,130)( 18, 43,167)( 19,101, 31)
( 20,123,269)( 21,134, 74)( 23, 32, 60)( 24,209, 67)( 25,238,162)
( 26, 35,154)( 27, 45,221)( 28,235,270)( 29,126,129)( 33, 66,210)
( 34, 80,114)( 36,251,229)( 37,117,161)( 38,206, 63)( 39, 71,196)
( 40,118,180)( 41, 93,170)( 44,271,164)( 46,261,108)( 47,182, 49)
( 48,155,248)( 50,230,153)( 51,172,103)( 52,236,165)( 53,109, 64)
( 54,191,100)( 55, 76,203)( 56,156,260)( 57, 73,149)( 58,116,145)
( 59,147,273)( 61,127,189)( 62,231,197)( 65,122,169)( 69, 86, 95)
( 70,255,192)( 72,139, 78)( 77,252,151)( 79,262,184)( 81,214,242)
( 83,181,223)( 84,174,200)( 88,250,276)( 89,257,244)( 90,243, 91)
( 92,158,107)( 94,148,215)( 96,105,125)( 97,249,202)( 98,263,193)
(102,115,175)(106,219,150)(110,204,152)(113,225,216)(119,237,166)
(120,241,234)(121,224,195)(128,190,268)(133,143,228)(135,168,201)
(137,227,247)(138,217,240)(140,258,232)(141,220,205)(142,178,207)
(144,146,254)(157,274,179)(160,253,176)(163,272,226)(171,233,194)
(173,246,212)(177,198,211)(183,267,222)(199,208,259)(218,264,239),
( 1,204,123, 82)( 2,203, 14, 53)( 3, 33, 40,118)( 4,236,168,138)
( 6,172,188,157)( 7, 77, 25,242)( 8, 76, 85,264)( 9, 47, 22,190)
( 10,146, 50, 26)( 11,133,220,254)( 12,224,179, 58)( 13,229,169, 23)
( 15, 84,148, 78)( 17,223)( 18,228)( 19,130,104,167)( 20,131, 90, 60)
( 21,252,185,205)( 24,263,214, 81)( 27, 32,209, 61)( 28,196, 67,137)
( 29,199, 87, 48)( 30, 65,218,112)( 31,246, 98,213)( 34, 99,165,265)
( 35,241)( 36,198,161, 89)( 37,269)( 38,251, 42,271)( 39, 75,260,193)
( 41,176,192, 57)( 43,183, 91,171)( 44,116,173,102)( 45,197,119, 73)
( 46,238,124,162)( 49,178, 83,274)( 51,174,244,100)( 52,129)
( 54,153,217,151)( 55,272,136,237)( 56,257,154,121)( 62,175,219,215)
( 63,106, 66,259)( 64,159,210,194)( 68,258,221,234)( 69,261,134,155)
( 70,164,211,266)( 71,262)( 72,189,114,222)( 74,177,256,135)
( 79,226,267,202)( 80, 96,120,239)( 86,132,216,160)( 88,117,231,109)
( 92,201,111,276)( 93,101,115,166)( 94,253)( 97,142,270,110)
(105,243,212,225)(107,141,230,249)(113,139)(122,170,126,207)
(125,163,184,158)(127,145,206,149)(140,273)(143,248,247,195)(144,180)
(147,250,182,187)(152,232,208,191)(186,235,233,275) ] ],
[ 4, 244823040, 1, "2", [ [ 44, 1 ], [ 231, 1 ] ], 1, "M_24",
[ "Spor", "M(24)", 1 ],
[ ( 1, 19)( 2,124)( 3,127)( 5, 16)( 6,121)( 7, 70)( 8, 73)( 9,133)
( 10, 67)( 11, 32)( 12, 35)( 13,129)( 14, 29)( 15, 75)( 18,122)
( 20, 68)( 21, 30)( 22, 95)( 23, 98)( 24,135)( 25, 92)( 26,104)
( 27,100)( 28, 93)( 31,126)( 33, 72)( 36, 97)( 37,157)( 38,160)
( 39,170)( 40,154)( 41,166)( 42,162)( 43,155)( 44,168)( 45,159)
( 46,140)( 47,143)( 48,153)( 49,137)( 50,149)( 51,145)( 52,138)
( 53,151)( 54,142)( 55,171)( 56,194)( 57,197)( 58,207)( 59,191)
( 60,203)( 61,199)( 62,192)( 63,205)( 64,196)( 65,209)( 66,208)
( 69,125)( 74, 96)( 76,158)( 77,141)( 78,195)( 79,109)( 80,112)
( 81,136)( 82,106)( 83,118)( 84,114)( 85,107)( 86,120)( 87,111)
( 88,169)( 89,152)( 90,206)( 91,110)( 94,128)(101,161)(102,144)
(103,198)(105,113)(108,134)(115,167)(116,150)(117,204)(130,156)
(131,139)(132,193)(146,164)(148,201)(165,200)(172,257)(173,260)
(174,270)(175,254)(176,266)(177,262)(178,255)(179,268)(180,259)
(181,272)(182,271)(183,274)(184,258)(185,269)(186,261)(187,267)
(188,256)(189,264)(190,263)(210,265)(211,235)(212,238)(213,248)
(214,232)(215,244)(216,240)(217,233)(218,246)(219,237)(220,250)
(221,249)(222,252)(223,236)(224,247)(225,239)(226,245)(227,234)
(228,242)(229,241)(230,276)(231,243)(251,275),
( 1,194, 84)( 2, 32, 97)( 3,199,105)( 4, 14, 11)( 5,196, 79)
( 6, 34, 92)( 7,140, 42)( 8,208, 88)( 9,145,101)( 10,142, 37)
( 12,191, 82)( 13, 29, 95)( 15,137, 40)( 16, 19, 21)( 17,197, 85)
( 18, 35, 98)( 20,143, 43)( 22, 25, 27)( 23,198, 86)( 24, 36, 99)
( 26,144, 44)( 30,205, 81)( 31,100, 94)( 33,151, 39)( 38,195,150)
( 41,141,146)( 45, 96,139)( 46, 49, 51)( 47,201, 89)( 48, 54,102)
( 50,147, 55)( 56, 59, 61)( 57,202, 90)( 58, 64,103)( 60,148, 65)
( 67,124,111)( 68,207,119)( 69,129,120)( 70,126,106)( 71,153,115)
( 72,121,109)( 73,127,112)( 74,128,113)( 75,135,108)( 76,125,152)
( 77,131,116)( 78,132,117)( 80,192,204)( 83,138,200)( 87, 93,193)
( 91,122,206)(104,123,114)(107,203,134)(110,149,130)(118,133,136)
(154,257,237)(155,274,245)(156,262,246)(157,259,232)(158,271,241)
(159,254,235)(160,260,238)(161,261,239)(162,268,234)(163,258,249)
(164,264,242)(165,265,243)(166,270,247)(167,255,252)(168,256,240)
(169,266,248)(170,269,244)(171,263,236)(172,175,177)(173,210,185)
(174,180,186)(176,189,181)(184,188,187)(190,273,251)(209,267,233)
(211,214,216)(212,231,224)(213,219,225)(215,228,220)(223,227,226)
(229,275,253)(250,272,276) ] ],
[ 5, 310224200866619719680000, 1, "2", [ [ 44, 1 ], [ 231, 1 ] ], 1,
"Alt(24)", [ "A", 24, 1 ],
[ ( 1,197,172,273, 68,200,111,196)( 2, 4,234,182, 63,143,208,221)
( 3,120,218, 35,193, 48,195, 99)( 5, 44, 73,203,167, 32,173,151)
( 6,144,113,275,106, 77,122,201)( 7, 76,204,114)( 8, 80,243,246)
( 9,163,211, 27, 66,258,134,110)( 10,118)( 11, 58,179,107,154, 96,
261, 67)( 12,100,102,185, 47, 59,148,112)( 13,141, 22,272, 61, 19,
78,166)( 14, 46,191,216)( 15,168)( 16,189,198,177,119,239,124,222)
( 17,199, 45,220, 37,205, 69, 65)( 18, 57, 28,212, 70,155, 88, 74)
( 20,194,251,237, 40, 50,268,162)( 21,225,226,245,132,236,228,224)
( 23, 95,165,160, 79, 71,115, 92)( 25,137,253, 86,108,187,266,181)
( 26,104,135,262, 90,223, 91,232)( 29, 75,140,274, 85, 41,238,105)
( 30, 36,241,267, 33, 97,271,259)( 31,230,138,192, 39, 83,190,244)
( 34,257,127,252, 98,116,178,103)( 38,131,213,136, 42,219,215,133)
( 43,161,250,206, 64,147,263, 55)( 49,125,276,264, 51,233,188,231)
( 52, 84,265,149, 56,158,176,207)( 53,180, 60,186)( 54, 93,229,142)
( 62,139, 82,242)( 72,169,123,159)( 81,150,146,227,156,171,101,157)
( 87,174,240,170,121,255,256,128)( 89,109, 94,153,129,117,270,248)
(126,254,214,235,210,260,269,152)(145,202,247,249,175,183,184,209)
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( 39, 73)( 40, 43)( 44,121)( 46,125)( 47,128)( 49,115)( 50,118)
( 51,136)( 52,139)( 55,124)( 57,143)( 58,147)( 59, 65)( 61, 88)
( 62,153)( 63,155)( 64,157)( 68, 85)( 69,165)( 70,168)( 72,162)
( 75,178)( 76,181)( 77,183)( 78,177)( 80,184)( 81,189)( 82,191)
( 87,193)( 89,104)( 90,199)( 91,133)( 92,201)( 93,138)( 96,148)
( 97,206)( 99,169)(100,212)(101,213)(103,158)(105,163)(109,220)
(110,223)(111,176)(112,122)(113,173)(114,228)(116,129)(117,120)
(119,234)(123,174)(126,187)(127,224)(130,240)(131,190)(132,242)
(134,167)(135,198)(137,171)(140,219)(141,227)(144,236)(145,239)
(149,254)(150,252)(151,179)(152,156)(154,255)(159,256)(160,214)
(161,260)(164,192)(166,225)(170,180)(172,226)(175,253)(182,262)
(185,197)(186,246)(188,269)(194,196)(195,204)(203,215)(205,210)
(207,273)(208,274)(209,249)(211,264)(216,270)(217,271)(218,272)
(221,229)(222,248)(230,235)(231,265)(232,233)(237,276)(238,268)
(243,278)(244,247)(245,258)(250,259)(251,263)(257,275)(261,266)
(267,279)(277,280), ( 1, 3, 12, 42)( 2, 7, 26, 85)( 4, 16, 55,122
)( 5, 20, 68,147)( 6, 23, 75, 15)( 8, 31, 10, 36)( 9, 25, 78,186)
( 11, 38, 88,197)( 13, 46, 18, 61)( 14, 48,130, 83)( 17, 58,148,253)
( 19, 63,136,245)( 21, 72, 54,141)( 22, 73,109,172)( 24, 80, 39,110)
( 27, 51,137,246)( 28, 90,200,185)( 30, 92,189, 89)( 32, 99,208,158)
( 33, 44, 66,132)( 34,103,215,127)( 35,104,216,108)( 37, 53,100,167)
( 40,113,206,150)( 41,114,102, 93)( 43,119,193, 45)( 47,105,116,213)
( 49,134,117,231)( 50,135, 76, 52)( 56,140,248,207)( 57,145,142,223)
( 59, 70,169,120)( 60,151,129,233)( 62,154,214,247)( 64, 69,166, 81)
( 65,159,257,242)( 67,162,255,179)( 71,170,138,181)( 74,175,267,244)
( 77,106,153, 98)( 79,188,217,180)( 82, 97,143,210)( 84, 95,203,235)
( 86,195,173,131)( 87,146,211,219)( 91,123,238,139)( 94,202,163,262)
( 96,205,272,264)(101,183,220,225)(107,218,121,237)(111,164,168,124)
(112,226,228,263)(115,155,209,222)(118,160,259,157)(125,177,240,276)
(126,239,277,204)(128,196,149,161)(133,243,260,227)(152,187,229,241)
(156,250,198,269)(165,261,178,268)(171,176,258,249)(174,266,221,194)
(182,256,236,212)(184,254,190,270)(191,230)(192,265,279,234)
(199,271,201,251)(224,232,275,278)(252,274),
( 1, 4)( 2, 8)( 3, 13)( 5, 17)( 6, 18)( 7, 27)( 9, 32)( 10, 33)
( 11, 39)( 12, 43)( 14, 47)( 15, 51)( 16, 56)( 19, 64)( 20, 69)
( 21, 59)( 22, 60)( 23, 76)( 24, 62)( 25, 81)( 26, 86)( 28, 88)
( 29, 89)( 30, 79)( 31, 96)( 34,100)( 35, 98)( 36, 82)( 37,101)
( 38,109)( 40,112)( 41,115)( 42, 45)( 44,120)( 46,126)( 48,131)
( 49,129)( 50,128)( 52,138)( 53,103)( 54,135)( 55,144)( 57,104)
( 58,149)( 61,143)( 63,156)( 65,158)( 66,157)( 67,148)( 68,163)
( 70,167)( 71, 94)( 72,171)( 73,118)( 74,176)( 75,179)( 77,147)
( 78,182)( 80,127)( 83,190)( 84,192)( 85,194)( 87,142)( 90,165)
( 91,198)( 92,130)( 93,140)( 95,114)( 97,178)( 99,209)(105,155)
(106,164)(108,177)(110,221)(111,222)(113,195)(116,230)(117,124)
(119,196)(121,232)(122,235)(123,236)(125,186)(132,241)(133,189)
(134,223)(136,153)(137,247)(141,150)(145,231)(146,217)(151,187)
(152,234)(154,183)(159,258)(160,213)(161,212)(162,261)(166,244)
(168,173)(169,255)(170,207)(172,181)(174,233)(175,240)(180,263)
(184,251)(185,252)(188,225)(191,193)(197,237)(199,228)(201,253)
(202,243)(203,211)(204,229)(205,224)(206,246)(210,273)(215,227)
(216,218)(220,239)(226,250)(238,277)(242,271)(245,272)(248,259)
(249,254)(256,268)(262,265)(264,276)(266,269)(267,274)(270,280)
(275,279), ( 1, 5, 21)( 2, 9, 34)( 3, 14, 49)( 4, 17, 59)
( 6, 24, 22)( 7, 28, 85)( 8, 32,100)( 10, 37, 35)( 11, 40, 50)
( 12, 44,122)( 13, 47,129)( 15, 52, 71)( 16, 57,146)( 18, 62, 60)
( 19, 65,160)( 20, 70,137)( 23, 77,184)( 25, 82,155)( 26, 61,152)
( 27, 88,194)( 29, 63, 91)( 30, 93,103)( 31, 97,207)( 33,101, 98)
( 36,105, 81)( 38,110,224)( 39,112,128)( 41,116,123)( 42,117,232)
( 43,120,235)( 45,124,121)( 46,127, 90)( 48,132,133)( 51,138, 94)
( 53, 79,140)( 54,142,119)( 55, 73,174)( 56,104,217)( 58,150, 67)
( 64,158,213)( 66,161,153)( 68,164, 83)( 69,167,247)( 72,172, 75)
( 74,134,197)( 76,147,251)( 78,187,185)( 80,165,126)( 84,193,271)
( 86,143,234)( 87,196,135)( 89,156,198)( 95,204,266)( 96,178,170)
( 99,210,248)(102,214,139)(106,190,163)(107,219,260)(108,154,166)
(109,221,205)(111,125,225)(113,227,226)(114,229,269)(115,230,236)
(118,233,144)(131,241,189)(136,157,212)(141,148,149)(145,249,261)
(151,252,182)(159,238,274)(162,231,254)(168,263,262)(169,264,228)
(171,181,179)(173,180,265)(175,253,202)(176,223,237)(177,183,244)
(186,188,222)(191,242,192)(195,215,250)(199,255,276)(201,243,240)
(203,239,206)(209,273,259)(211,220,246)(245,279,280)(258,277,267)
(270,272,275), ( 1, 6)( 2, 10)( 3, 11)( 4, 18)( 5, 22)( 7, 29)
( 8, 33)( 9, 35)( 12, 41)( 13, 39)( 14, 50)( 15, 53)( 16, 57)
( 17, 60)( 19, 66)( 21, 24)( 23, 78)( 25, 83)( 26, 87)( 27, 89)
( 28, 91)( 30, 94)( 32, 98)( 34, 37)( 36,106)( 38,111)( 40, 49)
( 42,118)( 43,115)( 44,123)( 45, 73)( 46,127)( 47,128)( 48,133)
( 51,103)( 52,140)( 54,143)( 55,124)( 56,104)( 58,150)( 59, 62)
( 61,135)( 63, 85)( 64,157)( 65,153)( 68,155)( 70,137)( 71, 79)
( 72,173)( 74,177)( 75,180)( 76,182)( 77,185)( 80,126)( 81,190)
( 82,164)( 84,193)( 86,142)( 88,198)( 92,130)( 93,138)( 97,207)
( 99,211)(100,101)(102,107)(105,163)(108,176)(109,222)(110,225)
(112,129)(113,162)(116,122)(117,144)(119,234)(120,236)(121,174)
(125,224)(131,189)(134,244)(136,158)(139,219)(141,149)(145,250)
(147,252)(151,251)(152,196)(154,237)(156,194)(159,238)(160,161)
(166,223)(167,247)(168,171)(169,264)(170,178)(172,265)(175,253)
(179,263)(181,262)(183,197)(184,187)(186,205)(188,221)(191,192)
(195,261)(201,240)(203,209)(204,266)(206,273)(210,246)(212,213)
(214,260)(215,249)(216,218)(220,248)(226,231)(227,254)(229,269)
(230,235)(232,233)(239,259)(245,280)(255,276)(256,268)(258,277)
(270,272) ] ],
[ 13, 3265920, 1, "2", [ [ 243, 1 ], [ 36, 1 ] ], 1, "PSU(4, 3)",
[ "2A", [ 3, 3 ], 1 ],
[ ( 1, 41,189, 99,122,219, 26)( 2, 55, 22,222, 18, 32,157)
( 3,268,133, 88, 44,160,145)( 4,228, 29,174,211, 54, 53)
( 5, 84, 87,266,271,273,243)( 6, 92,264,220, 86, 39, 17)
( 7,139,255,106, 61,277, 64)( 8,185,186, 27,128, 65,209)
( 9,207,102,229,129,278, 52)( 10, 72, 38,121,218, 96,156)
( 11,152,119,105, 56, 23,104)( 12,177, 69,241,165,163,190)
( 13,231,162,161,125,194,192)( 14, 62,224,111, 48, 15, 68)
( 16, 40,175,247,233,195,235)( 19, 80,178,227,226,262,169)
( 20,263, 98,214, 93, 45,116)( 21,248,144,143,140,172,142)
( 24,170,234,188, 42,182,187)( 25, 34,257,240, 91, 75,135)
( 28,223,232, 59, 63,176,203)( 30,204, 89, 74,275,148,150)
( 31,239, 81, 35, 82,130,237)( 33,167, 85,137,166,146, 51)
( 36, 47,245,147,238,254,210)( 37,164,267, 83,112,101,132)
( 43, 46,109,181,118,103,249)( 49,261,252, 90,206,200,180)
( 50,110,256,225, 57,131, 73)( 58,201, 71,171,151,196, 60)
( 66, 78,205,276,123,184,259)( 67, 94,251, 95,100,141,136)
( 70,115,250,149,244,168,183)( 76,159,120,253,126,230,193)
( 77,242,153,198,270,117,272)( 79,179,191,208,215,221,258)
( 97,134,138,216,212,213,158)(107,124,127,108,265,154,280)
(113,274,236,260,197,279,269)(114,202,155,173,246,199,217),
( 1,108,261,119,195, 72,122)( 2,143, 90,150,130,214,204)
( 3,237, 76,105, 5, 82, 83)( 4,205,260, 38,153,139,249)
( 6,189,138,169,243,254,141)( 7,223,273,115, 48,113,118)
( 8,247,133,137,155, 58,152)( 9,251,278,120, 14,225, 35)
( 10,279,187,246,194,248,226)( 11,184,208,235, 87, 33,111)
( 12,202, 98, 91,232,199,255)( 13,167,140, 42,106,262,258)
( 15,121,241, 78, 20,163,210)( 16, 60,218, 39,135, 77, 30)
( 17, 49,200,158,116, 47,269)( 18,271, 59,277,227,197,166)
( 19,259,104,252,185, 95,144)( 21,183,102,231,201, 31, 24)
( 22,145, 81,228,245,234, 97)( 23,198,186,134,217, 51, 66)
( 25,127,275,177,109, 70,147)( 26,193,207, 64,196,280, 45)
( 27, 79, 96,181,242,157,268)( 28,266, 99,244, 89,250, 67)
( 29, 63,212,274, 65,124,176)( 32, 40, 86,256,192, 43,103)
( 34,240,168,164,131,238,114)( 36,191,179, 57,233, 61, 73)
( 37,211,264,172,146,263,215)( 41,151,265, 75,272,174, 62)
( 44, 54,188,182,180,162,257)( 46,142, 94,222,236, 53,206)
( 50,159,132,129,219,276,117)( 52, 92,173, 88,178,126, 84)
( 55,267,213,203,221,229,170)( 56,253,156,110, 80,107,165)
( 68,209, 74,149,100,125,154)( 69,160, 71,224,216,148,128)
( 85,175,123,136,171,230,270)( 93,161,112,220,239,190,101) ] ],
[ 14, 6531840, 0, "2", [ [ 243, 1 ], [ 36, 1 ] ], 1, "PSU(4, 3).2",
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[ ( 1,142, 76,276,187, 52,192, 92)( 2, 78,158,124,189,140, 86, 32)
( 3, 44,117, 22, 98,196,172, 11)( 4, 71, 35,259, 8, 5, 89, 75)
( 6,257, 7,167,110,171,198,122)( 9,115, 23,133,208,131,135, 93)
( 10, 31,252,136, 45,191,146,165)( 12, 74,168,268,248,104,228, 40)
( 13,216, 25,238,116, 49,204,193)( 14,175, 59, 55,161, 54, 70,153)
( 15,265,156, 42,280, 79,188,273)( 16,271,197, 53, 72,256, 90,263)
( 17,227,155, 24,182,240,225,267)( 18,108,233,211,179,127,247, 95)
( 19,212,103,209, 66,132,180,190)( 20,203,166,102,147,154, 58, 91)
( 21,141,109, 73,101, 63,224,206)( 26,113,114,237, 69,149,260,178)
( 27,126,173, 87,144, 33,152, 43)( 28,138,201, 47,221, 30, 46,162)
( 29,213,279, 67,219,278, 60,269)( 34,264,123,262,254, 62,199, 96)
( 36, 80,277,163,220,207,249,183)( 37,186,261,210,118,170,121,134)
( 38, 41,125,105,145,139, 68, 61)( 39,119,232, 88,255,266,200, 94)
( 48, 82,148,150, 85, 56, 77,218)( 50,244,245,202,217,241,185,250)
( 51, 99,143,226,160,107,164,243)( 57,258, 97,112)( 64,235,231,222,
223,214,234, 81)( 65,251, 83,242,128,195,177,246)(100,272,137,106,
159,169,111,129)(120,239)(130,215,275,236,229,270,184,274)
(151,205,176,253,230,181,194,174),
( 1,187, 60,249, 68,158,186,276,279)( 2, 89,246, 39,193, 72,104,260,
270, 96, 88,168, 91,261, 95,180,219, 93)( 3, 87, 7,201,109,113)
( 4,185,154, 76,190,262,206, 23,268,132,245, 25,137,179,189,241,223,
253)( 5, 56,107,234,110, 10, 81, 15,212,210, 31,106,226,199, 45,163,
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122,222,172)( 9, 82, 48,169,191, 47)( 11, 84,271, 32, 40,258,250,
121,255,217, 57,216,273,174,239,175,238,102)( 12, 71, 42,251,134,124)
( 13, 52,112,129, 37, 35,138,153, 74, 83,229,157, 99,230, 94, 21,152,
103)( 14,139,225, 54, 64, 73,140, 30, 18,146, 19,164,202,135,244,156,
101,209)( 16,155, 80,228,221,118,272,177, 44,211,143,236,242, 28,151,
208,116,196)( 17, 69,100)( 20, 58, 75, 90,277, 51,227,160, 92)
( 22,207,194,144, 65, 55,178,148, 36, 50,274,263, 63,232,173,257, 33,
267)( 24, 77, 29,200,214,233,150, 61, 49,220,126,114,128,131,266,218,
205,256)( 26,259,166)( 27, 53, 66,161, 59,111,149,115,136,141,176,
41,252, 70,192,198,235,165)( 38,108,127,159,147,275,197,182,145)
( 43, 46,203,280,269,120, 79,254,119,224, 98,204,278,265, 97, 67,167,
247)( 62,240,264)( 78,215,171,188,133,237)(125,184,170) ] ],
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[ "2A", [ 3, 3 ], 1 ],
[ ( 1, 84,102,259,159,174,135, 90, 21, 27,228,222,175, 37)( 2,261,119, 6,
203,213, 56,136,133,113, 22,227, 36,278)( 3, 93,115,216,125, 38, 55,
236, 12,257,160,121,153, 75)( 4, 18, 31,149,231,280, 79)
( 5, 34,130,196,215, 42, 50, 92,171, 7,168,154,142,273)
( 8,212,103, 76,143,258, 17, 86, 26,197, 99, 29,262,150)
( 9,279,129,199,207,221,139,249, 13,232,214,217,239, 69)
( 10, 97,161,101,145,194,265,106,105, 91, 28,210, 65,268)
( 11,208,211,226,110,162, 35, 39, 59,243,180,253, 94,224)
( 14, 61, 96,164,165, 78,240)( 15, 49,176,163, 41,191,158, 40,234,114,
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109, 60,173,250,195,269,112, 32)( 20,238,183, 80, 82,182,100,169,108,
170,156,235,242,152)( 23,252, 81,141,271, 62, 54, 73,274, 70, 52,275,
83,122)( 24,181, 43,118, 71, 72,244, 85, 45,220,245,148,193,200)
( 25,223,192,134, 63, 68, 48, 95,219,157, 44,188,184,146)
( 30,187,201,178,186,263,206,189,204,233, 89,172,137, 53)
( 33,225,198,229,276,237,124,246,205, 67,254,117, 46,247)
( 58,138, 66,251,270,116,230)( 74, 98,128,120,111, 87,147,166,202,260,
107,185,123,218)(126,167,190,266,209,256,155,272,255,264,140,177,248,
241), ( 1, 62, 46,161,252,255,244, 67,223, 23,144, 38)
( 2,212, 18,259, 48,154,101,196, 41,148, 6,256)( 3, 40,197, 50,258,
272, 32,189,172, 15,266,132)( 4, 66,241,160,168,130,153,275,274, 71,
152,245)( 5, 68,271, 64,107,105, 21, 10,254, 7, 42, 76)
( 8,178,104,236,270, 81,251,140, 25, 88,182,134)( 9,219,203, 43,151,
37,262,240,213,232, 85,192)( 11,205,230,165,142, 74,135,202,155,222,
248,201)( 12, 35,170, 45, 92,253, 44, 24, 83,260,179,131)
( 13, 70,145)( 14,217, 30,273,113, 96,103,224,147,238,269,186)
( 16,190,159)( 17,226,123,106,237,122, 89,207, 86, 34, 61,162)
( 19,166,139, 87,261,102, 77,187,243, 79,193,267)( 20,117,249,250,180,
57,211,173, 59,141, 49,221)( 22,164,169,198,225,210,216,194, 52,204,
263,174)( 26,143,183,158,111,228,257,181,233,156,128,235)
( 27, 54,100,279, 56, 84, 69,280, 28,175,171,277)( 29,184,214, 95, 58,
51,195,220, 90,185, 94,268)( 31,137,242,119,191, 65, 99,200,239, 72,
121,265)( 36,127,109, 63, 53,199, 75, 97, 60,176,110, 98)
( 39,125,150,247,177,108,157,163,208,114,218,209)( 47, 78,278,124, 80,
215,264,118,129,188,276, 91)( 55,149,115,246, 82,138,227,167,136,116,
146,229)( 73,126,120,231)(112,133,234,206) ] ],
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[ ( 1,171,112,238, 86,126, 14, 62, 67, 22)( 2, 40,205,101, 34,252,253,122,
177, 72)( 3,170, 21,213, 60, 79, 19, 39,245,150)( 4, 41,236,235,
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( 6, 87,139,146, 51,156,191, 38,237,231)( 7,193,220,248,165,128,227,
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( 13, 47,271, 26,110, 36, 31, 53, 78,120)( 15,160,204,259,138,185,167,
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( 25,208,219,242,136)( 29,225, 58,215,206,103,125,203,108,183)
( 30, 45,280,162,226,124,116,137,186, 65)( 33, 48,109, 50,279,199,142,
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( 44,111,158,244, 89,172, 49,106, 64,169)( 57,214,217,250,144,130,211,
221,247,154)( 59,168,269, 99,239,143, 69, 73,212, 71)
( 63,267, 83,151,178)( 66,251,262,263, 92, 81,198,127,266,218)
( 75,233,254,187,190,207,194,184,132,201)(104,272,260,115,210,148,118,
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124, 98,245)( 3, 61,122,248,150,129, 94,169)( 4,113,146,101,260,
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111, 22,222)( 7,120,161,155, 62,160,237,214)( 8,162,244,138,259,
95,277, 18)( 9, 24,102,149, 56,218,114,168)( 10,242,238, 92,174,
263, 27, 25)( 12,103,276,119,261,175,181, 30)( 13,136,206,193,211,
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121,167,197)( 26, 57,178,236,158,157,140,274)( 29,223, 36,142,199,
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[ 17, 13063680, 0, "2", [ [ 243, 1 ], [ 36, 1 ] ], 1, "PSU(4, 3).2^2",
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33)( 4,155,209,124, 38, 7, 77,176,148,252,121, 11)( 5, 23, 16,183,
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84,245,212,156,220,160,249)( 15, 89, 26,262, 79,243, 30,146,242,140,
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161,218,142, 94,137,275,240)( 24,230, 65,227,105,152, 56,202,207, 87,
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189,253,244,205, 32, 90,173)( 35,125,180,172, 91, 63,164,198,106,101,
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( 59,196,238, 66,177,100)( 62, 85,246,134,110,210,272,181,222,158,107,
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( 2,245, 28,133,131,266,273,195,268,250,262,185, 71, 74)
( 4, 13, 46,254, 16,220,213,134,184, 96, 72,124,171, 63)
( 5,160,172,204,122,224,230,209, 90,232,235, 45, 66,153)
( 6, 31, 22,279,269,263,166,127,259,251,118, 17,258,229)
( 7, 29, 95,177,117,150,218,210,137, 15,181, 94,214,253)
( 8,140,102, 84,231, 81,179,198,226,113, 99, 38,252,180)
( 9, 67,202, 77,280,154,121,267,161,249, 93, 35, 80,272)
( 10, 27,188, 43,125,103,186)( 11,108,183, 40,187, 55, 19,264,256,216,
276,217,135, 88)( 12,208,271,165,157,189,205,155,146,110,247,159, 73,
207)( 14, 62,128,145,219, 91, 86,223,147,196, 56, 78,141, 52)
( 18,242,275,228, 65,236,138,255,163, 83, 79,278, 70,234)
( 20,257,105, 47, 23,101, 59,206,215,115,227,238, 98, 85)
( 21,109,200,148,114, 61,100,120,132,212,158, 37,175,107)
( 24, 42,142, 26,199, 54,261,173,139,201,243,111, 92,143)
( 25, 58, 76,116,240,156,144,162, 49,152,203,174, 97,167)
( 30,211,123,237, 87,277, 33,248, 89, 69, 64,233, 48, 75)
( 32,129, 53, 57,126,119,270)( 34, 41,169, 36, 60,104,190)
( 39,191,168, 51,136,164,260)( 44,130,178,221,112,246,222,149,194,244,
274,170,176,192) ] ],
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( 4,204, 83, 7, 85,197,245)( 5, 25,157,177, 72,214,240)
( 6, 17,206,228, 21,223,230)( 8,232,193,244,178, 41,198)
( 9, 43, 99,160,196,133, 90)( 10,168,181,229, 66,202,235)
( 11, 57,115,248,163,276,231)( 12, 35, 84,280, 62,155,267)
( 13, 86, 58,129,185,199,137)( 14,171,125,238,237, 29, 37)
( 18,272, 34,249,225, 98,270)( 19,148,250,116,219,247,203)
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( 42, 68, 61,218, 77, 74,253)( 44, 73,161,173, 87,121, 79)
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( 60,239,120,242, 81,258,234)( 63,135,187,165, 93,217,208)
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( 78,108,194,233,156,256,273)( 92,112,252,222,131,169,264)
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(101,141,216,123,136,126,127)(139,259,145,175,257,269,149),
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54,219, 9,223, 32,100, 60, 76,255,200, 35)( 2,170,233,224, 56,107,
152, 87,149,197,228,256,280,188, 81,120,273,174, 11,182, 30,253,132,
97,164,151,209,178)( 3,244,194,118,274, 78, 79)( 5, 75,105, 58,
62,203,108, 71,179,279,218,104,234,212, 16,112,196,169,142, 44, 84,
72, 42, 36, 74,221, 38,213)( 6,267,191,165,138, 91, 85, 46,204,241,
166,271,168,189,237,264, 98,181,206, 48,139, 22,136, 55,226,193,111,
133)( 7,156,148,159,147,214,229, 23, 82, 53, 15, 61,236,154,190,269,
173, 64,208,115, 69,160,252,230,119, 45,207, 10)( 13, 52,239,258,272,
116,161,137,205, 88, 18,117,262, 21, 43,158,186, 90,125,109, 50,246,
172,278,122, 25, 93, 33)( 14,210, 31,276,153,134,126)
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67,146, 28,202, 34, 19,128, 73,238,243,225)( 20,185,162,248,240, 29,
47, 59, 26, 96, 83,277,144,143,231,103,102,155, 92,183, 41,180,220,
222,141,275,177,242)( 27,157,261,216,247,260,129,251,113,171,123, 57,
63,198, 40,127, 37,176,167,215,187,192, 94,265,140,259,268,266)
( 49,257,101,131,227,235,217)( 80,211,184,199,121,249, 95) ] ],
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( 5, 18,240, 30,210,250, 8,138)( 6,104,155, 50,273,237, 53, 59)
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( 11,229,275,105,101, 28, 79,261)( 12, 66, 24, 64,270,167, 94,129)
( 14,278,100, 67,196, 31,143,149)( 15,168,207, 86,268, 72,141, 93)
( 17, 98,219,241,111,122,197, 29)( 19,166, 90,147,218, 73,152,118)
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185,106, 76,249,216,165, 40)( 2,115, 10, 29,129,225, 59,152)
( 3, 62,234,201, 48, 39,161, 13, 88,132, 56, 93, 4,157,181,252,243,
230,119,118,182,247, 51,276)( 5,100,172,262,197,187, 7,154,145, 43,
78, 96, 64, 22, 67, 9,155,179, 21,260, 80,232, 70,175)
( 6, 42,180,190,233,229,143,104, 77,244,255,176,256, 20, 68, 17,136,
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212,151, 44, 54,183,277, 82,134,177, 97,273,205,193, 49)
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209,150,186,120,254, 99,194)( 12, 47, 95, 84,103,221,116,117,235,227,
164, 25,261,148, 63, 30,223, 37,142,271,239,149,222,122)
( 16,162,215, 28,257,168,160,240,192, 92,263,265, 34,259, 87,268, 36,
238, 31,126,173,236,266,217)( 18, 27,158,133,218,107,146, 60,169,200,
35, 91,178,214,275,204, 98,231,121,202,138,127,102,253)
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184,105, 24,213,135,198, 65)( 23, 32, 72,153)( 58,237,189,219,108,
79,113,211)( 74,144,272)( 90,267,167,248,206,140,274,245)
(110,280,251,125,130,111,196,241) ] ],
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( 13,216,254, 20,274,206)( 14, 70, 92,137,195, 61)( 15, 37,247, 91,
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124,238)(107,265,267,242,218,211)(121,141,250,202,174,169)
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184, 21,180,128,170, 42, 10, 13,143,251, 6)( 2, 29, 32,230, 41,179,
57, 65,247,197,124,156,280,181,201, 31,120,210,130,235,123,182,226,
266, 84, 11, 87,246)( 3,205,240,174, 56, 93,264, 39, 97, 52,258,228,
79,207,148,125,272,242, 70, 35,101,108,149, 99,113, 94,173,104)
( 4, 55,252,204,119,186,206,158,234,224,220,239, 64,136,129, 7, 47,
49,134, 12,221, 45,102, 50,236, 67,274,244)( 5, 95,144,188, 17,271,
250,175,209,166,261,150,185,105,200, 75,126, 85,268,214,219,196,238,
176,106,265, 62,231)( 8,160, 91,270,277,138,161, 22,131, 96,114,273,
121,256, 24,222,249, 40, 61, 26,122,171,111,191,141,172,267,164)
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132, 30, 90,198,248, 33, 58,208,135,269, 92)( 14,155,223,189,110,254,
83, 76, 72,212,100,118,178,279, 15, 36,225, 63,218,237,192, 74, 20,
116, 89,159, 34,245)( 23,262, 44, 37,253, 80, 59, 48, 53,168,260,199,
167,255,203,202, 98,133, 68,177, 27,257,276,194, 46,112, 43, 71)
( 28,140,278,146,137,142,115)( 38,193, 78, 51,213,211,103)
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( 6,130,157)( 7,248,230)( 8,203, 63)( 9, 83,235)( 10,250, 98)
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( 16,117,210)( 17,170, 29)( 19,265,113)( 20,101,156)( 21,225,132)
( 22,214,134)( 23, 74, 73)( 24,176,253)( 25, 75, 96)( 26,241,171)
( 27, 38,119)( 28, 78, 72)( 30, 61,254)( 31,110,234)( 32,201,195)
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( 40, 55,222)( 41,227,244)( 42,184,114)( 43, 56,223)( 44,236,159)
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( 54,137,103)( 57, 88,217)( 58,218, 66)( 59,141,186)( 60, 90,233)
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( 85,174,169)( 86,277,160)( 89,190,272)( 91, 95,108)( 92,116,264)
( 93,146,144)(100,120,228)(102,191,206)(104,173,238)(105,138,107)
(112,245,139)(115,276,271)(118,252,216)(121,255,142)(123,219,168)
(126,147,237)(127,152,262)(128,197,249)(129,145,133)(135,240,151)
(136,192,256)(143,166,179)(148,263,180)(163,183,194)(164,198,178)
(165,247,220)(172,199,209)(175,275,204)(177,279,259)(187,243,266)
(188,258,221)(189,229,207)(208,213,268),
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( 4,137,198, 20, 39)( 5, 24,179, 82,182)( 6, 26, 87,156,270)
( 10,277,218, 73, 76)( 11,228, 33,122,171)( 12,214,276,247,133)
( 13,173,225, 63,112)( 14, 31,167,264,230)( 15,118, 43,253,126)
( 16, 52,249,134,155)( 17, 81,103,178,144)( 18,165,188,168,275)
( 19,121, 57, 89, 59)( 21,226, 53,104, 60)( 22,273,102,202, 94)
( 23,246,279, 75,131)( 25, 95, 77,106, 80)( 27, 40,132,220, 34)
( 28,163,229, 62,267)( 29, 37, 88,119,248)( 30, 69,271,135,252)
( 32,127,123,100,140)( 35,203, 54,256,164)( 38,162,268,272,141)
( 41,206,116,235,117)( 44,217,242,124,238)( 45, 66,210,227,108)
( 46,154,197,161,255)( 47,245,194,110,185)( 48, 71,239,142,180)
( 49,186, 99,207,190)( 50,266,160,262,125)( 51,138,251, 98,149)
( 55,111,231,204, 86)( 56,269,105,244,263)( 58,222,159, 91, 92)
( 61,233, 64,109, 93)( 65,158, 85,189,259)( 67,274,177,200,211)
( 68,145,221, 72,101)( 70,183,120,191,148)( 74,265,280,114,201)
( 78,209,174,232,196)( 79,257,187,208, 96)( 83,152,278,146,193)
( 84, 97,241,215,151)(107,212,147,143,129)(113,153,150,176,213)
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( 60, 94,138,257,150,256)( 66,108, 83,247,147,166,236,264,244, 76,269,
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30)( 4,201,252, 47,178,240)( 5, 25,111,172, 36, 74)
( 6,219,146, 75,249,184)( 7, 16,227,256,181,100)( 8, 31, 73,117,
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( 11, 57,169,183,180, 58)( 12, 35,140, 72,225,116)( 14,280, 53,127,
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( 19,224,248,182, 71, 40)( 20, 76,254,165,274,203)( 21, 39,229,251,
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( 32,211,133,226,197, 54)( 33, 91,253)( 34, 87,137, 42,170,221)
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( 44,151,275, 89, 51,262)( 45, 85, 97, 79,235,236)( 46,174, 48, 84,
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( 56,158,273,177,234,122)( 59,112, 80,204,106,109)( 61,272,238,129,
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( 95,153,156,255,216,263)(101,119,189,152,208,259)(114,168,120)
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[23, Factorial(280)/2,1,"2",[[279,1]],278, "Alt(280)", ["A",280, 1], "Alt"],
[24, Factorial(280),0,"2",[[279, 1]],280, "Sym(280)", ["A",280, 1], "Sym"]];
PRIMGRP[281]:=
[[1, Factorial(281)/2,1,"2",[[280,1]],279, "Alt(281)", ["A",281, 1], "Alt"],
[2, Factorial(281),0,"2",[[280, 1]],281, "Sym(281)", ["A",281, 1], "Sym"],
[ 3, 281, 3, "1", [ [ 1, 280 ] ], 1, "C(281)", [ "Z", 281, 1 ], [ ] ],
[ 4, 562, 2, "1", [ [ 2, 140 ] ], 1, "D(2*281)", [ "Z", 281, 1 ],
[ [ [ Z(281)^140 ] ] ] ],
[ 5, 1124, 2, "1", [ [ 4, 70 ] ], 1, "281:4", [ "Z", 281, 1 ],
[ [ [ Z(281)^70 ] ] ] ],
[ 6, 1405, 2, "1", [ [ 5, 56 ] ], 1, "281:5", [ "Z", 281, 1 ],
[ [ [ Z(281)^56 ] ] ] ],
[ 7, 1967, 2, "1", [ [ 7, 40 ] ], 1, "281:7", [ "Z", 281, 1 ],
[ [ [ Z(281)^40 ] ] ] ],
[ 8, 2248, 2, "1", [ [ 8, 35 ] ], 1, "281:8", [ "Z", 281, 1 ],
[ [ [ Z(281)^35 ] ] ] ],
[ 9, 2810, 2, "1", [ [ 10, 28 ] ], 1, "281:10", [ "Z", 281, 1 ],
[ [ [ Z(281)^28 ] ] ] ],
[ 10, 3934, 2, "1", [ [ 14, 20 ] ], 1, "281:14", [ "Z", 281, 1 ],
[ [ [ Z(281)^20 ] ] ] ],
[ 11, 5620, 2, "1", [ [ 20, 14 ] ], 1, "281:20", [ "Z", 281, 1 ],
[ [ [ Z(281)^14 ] ] ] ],
[ 12, 7868, 2, "1", [ [ 28, 10 ] ], 1, "281:28", [ "Z", 281, 1 ],
[ [ [ Z(281)^10 ] ] ] ],
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( 94,255,114,262,217, 96,241,116,259,212)( 97,245,115,266,207, 99,242,
110,264,221) ] ],
[ 3, 126513546505547170185216000000, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1,
"Alt(17)^2.4", [ "A", 17, 2 ],
[ ( 1,200, 94,258,160,135,210,119,248,283,175,229,140, 48, 29, 70)
( 2,188, 98,264,156,126,220,108,255,282,181,226,144, 38, 31, 80)
( 3,194,101,261,170,129,215,107,246,276,184,233,138, 35, 30, 77)
( 4,201, 97,257,154,132,213,105,245,288,176,238,146, 45, 22, 76)
( 5,195, 89,269,165,121,205,115,247,275,177,237,142, 51, 27, 79)
( 6,204, 95,266,158,127,208,116,250,274,171,234,145, 37, 24, 84)
( 7,203, 91,272,163,130,209,110,242,286,182,223,137, 47, 26, 71)
( 8,191, 99,267,155,120,217,111,241,279,186,227,153, 44, 28, 73)
( 9,190, 92,271,159,136,214,113,243,280,174,235,148, 36, 18, 81)
( 10,198, 90,263,157,133,216,104,239,285,179,224,143, 50, 23, 85)
( 11,192, 93,259,167,131,206,103,251,281,173,228,152, 40, 34, 78)
( 12,189, 86,268,162,122,211,118,244,289,180,232,141, 42, 21, 82)
( 13,196, 88,262,169,125,221,112,249,277,178,225,150, 46, 19, 69)
( 14,199, 87,256,166,128,207,109,254,278,187,231,147, 39, 25, 72)
( 15,202,100,270,168,134,219,117,253,287,185,236,151, 49, 32, 83)
( 16,193,102,265,164,124,212,106,252,284,172,222,149, 43, 20, 75)
( 17,197, 96,260,161,123,218,114,240,273,183,230,139, 41, 33, 74)
( 52, 64, 60, 54, 58, 67, 57, 68, 61, 62, 56, 59, 55, 65, 63, 53),
( 1,209, 58, 14,192, 57,269,191,227,264, 38,222,213, 41)
( 2,277, 66,252,198,125,268,140,224,111, 46, 18,212, 75)
( 3,107, 63, 31,195, 74,257,276,236,247, 45,120,217,143)
( 4,226, 60, 48,188,210,262)( 5, 56, 65,201,193,261,259,225,230, 43,
35,205,211, 7)( 6,260, 55,235,196, 40,256,208,228, 9, 39, 52,218,
194)( 8, 73, 53,286,202,244,266,123,234,145, 37,103,216, 24)
( 10,175, 68,167,197,176,272,157,231,179, 51,154,214,177, 17,158, 61,
184,204,159,265,174,238,162, 44,171,221,160)( 11,124, 64,150,190,108,
267, 21,229, 77, 36,273,219,245)( 12, 22, 59, 82,189,278,270,242,232,
128, 47,137,207,109)( 13,141, 54,116,199, 23,263, 72,223,281, 49,239,
215,126)( 15,243, 62,133,200,142,258,106,233, 26, 42, 69,206,279)
( 16, 90, 67, 99,203, 91,271, 89,237, 94, 50, 86,220, 92)
( 19,280, 83,240,283,134,251,147,122,115,148, 20,110, 80)
( 25, 76, 70,274,287,253,249,130,132,149,139,105,114, 29)
( 27,178, 85,155,282,185,255,164,129,183,153,156,112,182, 34,161, 78,
172,289,168,248,181,136,166,146,173,119,165)( 28,127, 81,138,275,117,
250)( 30,144, 71,104,284, 32,246, 79,121,285,151,241,113,131)
( 33, 93, 84, 87,288,100,254, 96,135, 98,152, 88,118, 97)
( 95,186,102,169)(163,180,187,170) ] ],
[ 4, 253027093011094340370432000000, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1,
"Sym(17) wreath Sym(2)", [ "A", 17, 2 ],
[ ( 1, 71,251, 2, 88,249,121,100,181,129,236,178, 44,227,110, 43,278,118,
264,284,152,262,165,137, 75,166)( 3,241,240, 87, 96,130,134,185,180,
231,229, 42, 40,108,111,281,288,271,267,148,143,160,154, 69, 81, 13)
( 4, 54,252,206,102, 28,123, 66,184,214,238, 25, 38, 57,116,213,289,
33,259, 63,150,211,170, 18, 72, 64, 14,207,255, 19, 89, 62,133,219,
187, 27,225, 59, 48,210,119, 26,276, 67,269,216,153, 24,157, 52, 82,
217, 17, 20,242, 53, 99,215,136, 32,174, 61,235,212, 51, 23,106, 60,
286,220,272, 29,140, 58,167,205, 85, 30)( 5,190,243,189, 90,198,124,
202,175,197,226,195, 39,193,107,196,277,203,260,199,141,194,158,188,
73,200)( 6,105,247,274,101,266,131,151,177,163,222, 76, 47)
( 7,156,239, 70, 98, 11,122,253,172, 95,232,127, 49,176,112,230,280,
50,261,114,145,279,169,256, 80,149)( 8, 37,244,104, 94,283,135,270,
182,146,228,161, 35, 74,115, 9,275,254,257, 97,147,126,168,171, 78,
234)( 10,224,246, 36, 91,113,128,287,186,265,233,144, 41,159,103, 77,
285, 16,258,250,138, 92,164,120, 83,183)( 12,139,245,155, 86, 79,132,
15,173,248,223, 93, 45,125,117,179,282,237,263, 46,142,109,162,273,
84,268)( 21, 55, 65,218,221, 34)( 22,191, 56,201,209,204)
( 31,208, 68), ( 1, 86, 93, 76, 79,147,141,124,135,254,255, 51, 43,
281,274, 2)( 3,256, 98, 25, 72, 62,151,209,122,271,251, 34, 38, 60,
287,206)( 4, 52,100,212, 71,266,149, 22,123, 67,253,221, 37,264,285,
19)( 5,120,101,246, 85, 45,145,277,121, 16,239,102, 42, 77,283,138)
( 6,103, 91,110, 74,113,142,107,125,118,244,119, 40,111,278,104)
( 7,188, 92,195, 75,198,143,192,126,203,245,204, 41,196,279,189)
( 8, 69, 96,144, 73,130,152,243,136, 50,247,289, 36, 9,273, 87)
( 10,154, 99,229, 78,164,150,226,129,169,252,238, 44,162,286,223)
( 11,137, 90,127, 84,249,153, 39,128,288,240, 17, 35, 94,280, 70)
( 12,171, 97,178, 80,181,148,175,131,186,250,187, 46,179,284,172)
( 13, 18, 89, 59, 83,215,139,260,132, 33,242, 68, 49,213,275,257)
( 14,222, 95,161, 82,232,146,158,133,237,248,170, 48,230,282,155)
( 15,205, 88,263, 81, 28,140, 56,134,220,241,272, 47, 26,276, 53)
( 20,259, 64, 32,208, 54,270,217)( 21, 55, 66,219,207,258,268, 30)
( 23,106, 57,117,210,105,261,115)( 24,191, 58,202,211,190,262,200)
( 27,157, 65,236,214,156,269,234)( 29,174, 63,185,216,173,267,183)
( 31,225, 61,168,218,224,265,166)(109,193)(112,159,116,227)(114,176)
(160,201,228,197)(163,167,235,231)(165,184,233,180)(177,199) ] ],
[ 5, 33292800, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1,
"PSL(2, 2^4) wreath Sym(2)", [ "L", [ 2, 16 ], 2 ],
[ ( 1, 8, 14, 4, 2, 7, 17, 16, 12, 9, 11, 13, 10, 6, 5, 15, 3)
( 18,280,184, 72, 36, 24,289,186, 80, 43, 28,285,180, 74, 39, 32,275,
171, 76, 48, 21,274,177, 85, 50, 29,281,181, 81, 44, 23,277,185, 71,
35, 25,286,174, 70, 41, 34,288,182, 77, 45, 30,282,176, 73, 49, 20,
273,178, 82, 38, 19,279,187, 84, 46, 26,283,183, 78, 40, 22,287,173,
69, 42, 31,276,172, 75, 51, 33,284,179, 79, 47, 27,278,175, 83, 37)
( 52, 59, 65, 55, 53, 58, 68, 67, 63, 60, 62, 64, 61, 57, 56, 66, 54)
( 86,161,116,208,223, 92,170,118,216,230, 96,166,112,210,226,100,156,
103,212,235, 89,155,109,221,237, 97,162,113,217,231, 91,158,117,207,
222, 93,167,106,206,228,102,169,114,213,232, 98,163,108,209,236, 88,
154,110,218,225, 87,160,119,220,233, 94,164,115,214,227, 90,168,105,
205,229, 99,157,104,211,238,101,165,111,215,234, 95,159,107,219,224)
(120,144,252,191,257,126,153,254,199,264,130,149,248,193,260,134,139,
239,195,269,123,138,245,204,271,131,145,249,200,265,125,141,253,190,
256,127,150,242,189,262,136,152,250,196,266,132,146,244,192,270,122,
137,246,201,259,121,143,255,203,267,128,147,251,197,261,124,151,241,
188,263,133,140,240,194,272,135,148,247,198,268,129,142,243,202,258),
( 1,207,117,186,144,121,243, 78, 28, 51,193,165, 98, 52,208,236,177,
8,122,107, 84,147, 36,244,163, 30, 68,191,233, 92)( 2,241,112, 33,
153,189,250, 95, 18,221,202,182, 93,120,209, 83,181, 42,125,158, 81,
62, 38,227,160, 13, 54,106,237,143)( 3,105,118,152,138,240,248, 27,
34,204,199, 97, 86,205,219,185,178,127,124, 73, 79, 45, 40,159,166,
64, 55,225,228, 7)( 4,224,109, 16,139,104,254,146, 19,255,197, 29,
102,188,216,100,171,212,134,175, 76,130, 39, 74,164, 47, 57,157,234,
58)( 5, 71,113, 50,142,155,251, 61, 21,238,194, 12, 88,103,220,151,
172,246,129, 22, 85,198, 46, 91,154,217, 66,174,229,126)
( 6,156,115, 67,140,223,245, 10, 20,119,203,148, 87,239,214, 32,187,
195,131, 90, 69,215, 49,176,161,132, 56, 72,232, 41)( 9,275,111,288,
145,274,247,282, 26,289,196,284, 94,273,213,287,179,280,128,277, 77,
283, 43,278,162,285, 60,276,230,279)( 11, 37,108,169,149, 53,242,231,
24, 17,190,114,101,137,206,253,180, 25,136,192, 80, 96, 35,210,168,
183, 59,123,226, 75)( 14,258,116,271,150,257,252,265, 31,272,201,267,
99,256,218,270,184,263,133,260, 82,266, 48,261,167,268, 65,259,235,
262)( 15,173,110,135,141, 70,249, 44, 23,170,200, 63, 89,222,211)
(264,286) ] ],
[ 6, 66585600, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1, "PSL(2, 2^4)^2.4",
[ "L", [ 2, 16 ], 2 ],
[ ( 1, 6,125,136,102, 89, 55, 54,105,109,194,188)( 2,159,124,221, 98,242,
61,258,116,143,198,222)( 3,108,126,204, 86, 4, 57,122,119, 92,191,
52)( 5,210,132,255, 95,259, 65,139,113,228,189,154)
( 7,193,120, 17, 91,123, 68, 88,106, 58,190,103)( 8, 40,131,289,101,
21, 59, 37,114,279,203, 18)( 9, 74,128, 85, 94, 72, 60, 71,111, 75,
196, 69)( 10,261,133,153, 96,225, 53,156,107,211,200,239)
( 11,227,121,170, 90,208, 64,241,112,262,201,137)( 12,278,135, 34, 93,
38, 63,275,118, 24,195, 35)( 13,244,129,272, 99,140, 62,224,104,160,
192,205)( 14,142,130,238, 87,157, 56,207,115,245,197,256)
( 15,176,134,187,100,174, 66,173,117,177,202,171)( 16, 23,127, 51, 97,
276, 67, 20,110, 41,199,273)( 19,161, 39,216,285,254, 27,263, 48,148,
283,237)( 22,212, 47,250,282,271, 31,144, 45,233,274,169)
( 25, 42, 46,284,288, 33)( 26, 76, 43, 80,281, 84)( 28,229, 36,165,
277,220, 30,246, 44,267,286,152)( 29,280, 50)( 32,178, 49,182,287,186
)( 70,162, 73,213, 81,247, 78,264, 82,145, 79,230)( 83,179)
(138,164,226,206,166,243,214,268,252,146,266,235)(141,215,234,240,163,
260,218,149,249,231,257,167)(147,232,223,155,158,209,217,251,248,265,
269,150)(151,181,236,172,168,175,219,183,253,180,270,184),
( 1,272, 29,124,203,171, 51,216,158,288,103, 68,233, 90, 84,137,255,
12,260, 33,120,204,182, 39,220,154,289,114, 56,237, 86, 85,148,243,
16,256, 34,131,192,186, 35,221,165,277,118, 52,238, 97, 73,152,239,
17,267, 22,135,188,187, 46,209,169,273,119, 63,226,101, 69,153,250,
5,271, 18,136,199,175, 50,205,170,284,107, 67,222,102, 80,141,254)
( 2,269, 30,134,196,172, 48,217,168,281,104, 65,234,100, 77,138,252,
13,270, 26,121,201,183, 49,213,155,286,115, 66,230, 87, 82,149,253,
9,257, 31,132,202,179, 36,218,166,287,111, 53,235, 98, 83,145,240,
14,268, 32,128,189,184, 47,219,162,274,116, 64,236, 94, 70,150,251,
15,264, 19,133,200,185, 43,206,167,285,117, 60,223, 99, 81,151,247)
( 3,259, 27,130,194,173, 38,214,164,279,105, 55,231, 96, 75,139,242,
10,266, 24,122,191,180, 45,211,156,276,112, 62,228, 88, 72,146,249,
7,258, 21,129,198,177, 37,208,163,283,109, 54,225, 95, 79,143,241,
4,265, 28,126,190,174, 44,215,160,275,106, 61,232, 92, 71,140,248,
11,262, 20,123,197,181, 41,207,157,282,113, 58,224, 89, 78,147,245)
( 6,261, 23,125,193,176, 40,210,159,278,108, 57,227, 91, 74,142,244)
( 8,263, 25,127,195,178, 42,212,161,280,110, 59,229, 93, 76,144,246)
] ],
[ 7, 66585600, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1, "PSL(2, 2^4)^2.2^2",
[ "L", [ 2, 16 ], 2 ],
[ ( 1, 64,100,110,177,139,283,271,248,167, 29,225,206,193, 51, 5, 81, 94,
127,171, 54,287,118,245,150, 28,259,214,159, 46,226, 70,196,136)
( 2,200,102, 8,183, 88,280,186,241,286, 33,242,218, 23, 38,209, 74,
43,124, 69, 60,134,103, 58,151,113,262,146,164,267,231,155,199,238)
( 3,285,101,246,184, 20,276,220,244, 48, 22, 72,213,125, 35, 56, 83,
111,126,137, 62,270,112,160,148,232,257,197,170, 12,234, 87,195,187)
( 4,217, 91, 42,175, 71,281,135,239, 65, 32,106,211,142, 45,260, 78,
162,131,222, 53,202,119, 7,149, 96,263,180,156,284,237,240,201, 34)
( 6, 47, 90, 76,179,122,273, 67,253,116, 24,140,215,261, 44,158, 80,
230,121,188, 68, 15,115, 92,144,181,258,282,169,250,235, 19,191,221)
( 9,132, 86, 59,185,105,279,152,249,269, 27,157,216,227, 36,192, 85)
( 10,166, 97,229,172,190,289, 16,251, 99, 25,174,207,278, 50,243, 82,
26,123,205, 57, 49,107, 75,145,130,256, 61,168,114,228,138,198,272)
( 11,268, 95,161,182,224,274,203,255, 14, 30, 89,212,176, 37,277, 84,
247,133, 18, 55,219,108, 41,141, 79,264,129,154, 63,236,104,194,153)
( 13, 98, 93,178,173,275,288,254,252, 31, 21,208,210, 40, 39, 73, 77,
128,120, 52, 66,117,109,143,147,266,265,163,165,233,223,189,204, 17),
( 1,142,246,234, 87, 63)( 2,148,239,227, 93, 64)( 3,151,242,231,101,
62)( 4,146,254,232, 88, 66)( 5,141,243,226, 90, 56)
( 6,144,251,223, 97, 52)( 7,150,255,228, 99, 68)( 8,149,240,233,
86, 57)( 9,145,247,230, 94, 60)( 10,152,249,224,100, 55)
( 11,139,253,225, 95, 67)( 12,137,244,229, 98, 53)( 13,138,250,222,
91, 59)( 14,153,245,235,102, 58)( 15,140,248,237, 96, 54)
( 16,147,241,236, 89, 61)( 17,143,252,238, 92, 65)( 18,193,178, 47,
206,284)( 19,199,171, 40,212,285)( 20,202,174, 44,220,283)
( 21,197,186, 45,207,287)( 22,192,175, 39,209,277)( 23,195,183, 36,
216,273)( 24,201,187, 41,218,289)( 25,200,172, 46,205,278)
( 26,196,179, 43,213,281)( 27,203,181, 37,219,276)( 28,190,185, 38,
214,288)( 29,188,176, 42,217,274)( 30,189,182, 35,210,280)
( 31,204,177, 48,221,279)( 32,191,180, 50,215,275)( 33,198,173, 49,
208,282)( 34,194,184, 51,211,286)( 69,261,110, 81,257,114)
( 70,267,103, 74,263,115)( 71,270,106, 78,271,113)( 72,265,118, 79,
258,117)( 73,260,107)( 75,269,119)( 76,268,104, 80,256,108)
( 77,264,111)( 82,272,109)( 83,259,112, 84,266,105)( 85,262,116)
(120,125,127,132,121,131)(122,134,123,129,135,130)(126,133,136)
(154,159,161,166,155,165)(156,168,157,163,169,164)(160,167,170) ] ],
[ 8, 133171200, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1, "PSL(2, 2^4)^2.D_8",
[ "L", [ 2, 16 ], 2 ],
[ ( 1,145, 16, 43, 7,162, 15, 94, 13, 26)( 2,213, 4,128, 14,281, 11, 77,
6,247)( 3,264, 17,230, 10,111, 12,196, 8, 60)( 5,179)
( 18,137,152, 50, 41,160,168,100, 98, 30)( 19,205,140,135, 48,279,164,
83, 91,251)( 20,256,153,237, 44,109,165,202, 93, 64)( 21,120,150,288,
45, 75,159,253, 87,217)( 22,171,141,186, 39,177,158,185, 90,183)
( 23,239,138,220, 38,126,167,287, 96, 81)( 24,154,151,101, 47)
( 25, 52,139,271, 51,228,163,117, 97,200)( 27,103,148,203, 42, 58,156,
270,102,234)( 28, 69,142,254, 36,211,157,134, 99,285)
( 29,188,144, 67, 37,262,170,236, 95,115)( 31,273,147, 84, 40,245,155,
219, 89,132)( 32, 86,149, 33, 35,143,169, 49, 92,166)
( 34,222,146,118, 46,194,161, 66, 88,268)( 53,207,259,136,235,282,113,
80,193,246)( 54,258,272,238,231,112,114,199,195, 59)( 55,122,269,289,
232, 78,108,250,189,212)( 56,173,260,187,226,180,107,182,192,178)
( 57,241,257,221,225,129,116,284,198, 76)( 61,105,267,204,229)
( 62, 71,261,255,223,214,106,131,201,280)( 63,190,263, 68,224,265,119,
233,197,110)( 65,275,266, 85,227,248,104,216,191,127)
( 70,210,242,121,218,276,130, 82,278,249)( 72,125,252,274,215)
( 73,176,243,172,209,174,124,184,277,181)( 74,244,240,206,208,123,133,
286,283, 79), ( 1,240, 79, 48,152,173, 24, 94,131,208, 5,253, 74,
47,146,187, 25, 86,121,215, 14,254, 71, 41,145,182, 21, 90,134,210,
13,248, 85, 42,137,172, 28, 99,135,207, 7,247, 80, 38,141,185, 23,
98,129,221, 8,239, 70, 45,150,186, 20, 92,128,216, 4,243, 83, 40,
149,180, 34, 93,120,206, 11,252, 84, 37,143,179, 29, 89,124,219, 6,
251, 78, 51,144,171, 19, 96,133,220, 3,245, 77, 46,140,175, 32, 91,
132,214, 17,246, 69, 36,147,184, 33, 88,126,213, 12,242, 73, 49,142,
183, 27,102,127,205, 2,249, 82, 50,139,177, 26, 97,123,209, 15,244,
81, 44,153,178, 18, 87,130,218, 16,241, 75, 43,148,174, 22,100,125,
217, 10,255, 76, 35,138,181, 31,101,122,211, 9,250, 72, 39,151,176,
30, 95,136,212)( 52,189,266,235,118, 54,194,264,233,106, 56,202,261,
234,112, 68,195,256,223,113, 65,203,258,228,111, 63,191,260,236,108,
64,197,272,229,103, 53,198,269,237,105, 58,196,267,225,107, 66,193,
268,231,119, 59,188,257,232,116, 67,190,262,230,114, 55,192,270,227,
115, 61,204,263,222,104, 62,201,271,224,109, 60,199,259,226,117, 57,
200,265,238,110)(154,274,164,286,169,275,160,281,165,276,158,287,159,
285,163,289,161,273,155,283,167,288,156,279,162,284,157,277,168,278,
166,282,170,280) ] ],
[ 9, 133171200, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1, "PSL(2, 2^4)^2.D_8",
[ "L", [ 2, 16 ], 2 ],
[ ( 1, 40,207,197)( 2,227,212, 78)( 3,193,205, 44)( 4, 23,209, 95)
( 5, 91,208, 27)( 6,210,214, 10)( 7,176,215,248)( 8, 74,206,231)
( 9,125,219,163)( 11,244,211,180)( 12,261,217, 61)( 13, 57,216,265)
( 14,142,220,112)( 15,159,213,129)( 16,108,218,146)( 17,278,221,282)
( 18, 39, 88,191)( 19,226, 93, 72)( 20,192, 86, 38)( 21, 22, 90, 89)
( 24,175, 96,242)( 25, 73, 87,225)( 26,124,100,157)( 28,243, 92,174)
( 29,260, 98, 55)( 30, 56, 97,259)( 31,141,101,106)( 32,158, 94,123)
( 33,107, 99,140)( 34,277,102,276)( 35, 37,190,188)( 36,224,195, 69)
( 41,173,198,239)( 42, 71,189,222)( 43,122,202,154)( 45,241,194,171)
( 46,258,200, 52)( 47, 54,199,256)( 48,139,203,103)( 49,156,196,120)
( 50,105,201,137)( 51,275,204,273)( 53,233,263, 81)( 58,182,266,251)
( 59, 80,257,234)( 60,131,270,166)( 62,250,262,183)( 63,267,268, 64)
( 65,148,271,115)( 66,165,264,132)( 67,114,269,149)( 68,284,272,285)
( 70,223,229, 76)( 75,172,232,246)( 77,121,236,161)( 79,240,228,178)
( 82,138,237,110)( 83,155,230,127)( 84,104,235,144)( 85,274,238,280)
(109,184,147,254)(111,133,151,169)(113,252,143,186)(116,150,152,118)
(117,167,145,135)(119,286,153,288)(126,185,164,247)(128,134,168,162)
(130,253,160,179)(136,287,170,281)(177,181,249,245)(187,283,255,279),
( 1,279, 56, 11,109, 57,130,103,278,124)( 2,194, 68,164,118,227,127,
69,286, 22)( 3,143, 54,147,105,142,122,137,275,141)
( 4, 92, 64, 45,114,176,129,239,287,209)( 5, 7, 58, 62,113,108,125,
120,273,277)( 6,126, 52,283,107)( 8, 75, 65, 28,104,193,136,154,
288,226)( 9,262, 60,266,111,261,128,256,281,260)( 10,245, 66,215,
106, 91,132, 35,284,175)( 12,177, 61,249,117,210,123, 86,285, 39)
( 13, 41, 63,181,112,244,134,205,276, 90)( 14, 24, 53,198,119,159,135,
222,280, 73)( 15,211, 55, 96,115, 40,131,171,282,243)
( 16,228, 59, 79,116, 23,121,188,289,158)( 17,160, 67,232,110, 74,133,
18,274,192)( 19,189,204,170,169,237,229, 76, 82, 31)( 20,138,190,153,
156,152,224,144, 71,150)( 21, 87,200, 51,165,186,231,246, 83,218)
( 25, 70,201, 34,155,203,238,161, 84,235)( 26,257,196,272,162,271,230,
263, 77,269)( 27,240,202,221,157,101,234, 42, 80,184)
( 29,172,197,255,168,220,225, 93, 81, 48)( 30, 36,199,187,163,254,236,
212, 72, 99)( 32,206,191,102,166, 50,233,178, 78,252)
( 33,223,195, 85,167)( 37,148,173,146,241,151,207,140, 88,149)
( 38, 97,183, 44,250,185,214,242,100,217)( 43,267,179,265,247,270,213,
259, 94,268)( 46,182,180,248,253,219,208, 89, 98, 47)
( 49,216,174, 95,251)(145,258) ] ],
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( 3,255, 48, 74, 22,271,132,103)( 4,204, 42, 91, 28,169,129,205)
( 5,272, 47,108, 20,254,133, 69)( 6, 34, 50,125, 18, 16,136, 35)
( 7, 68, 43,142, 29,186,121,222)( 8,102, 45,159, 27,220,123,188)
( 9,153, 46,176, 19,237,126, 52)( 10,221, 38,193, 25,101,130,154)
( 11,170, 44,210, 21,203,127, 86)( 12,187, 36,227, 24, 67,128,137)
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( 3,246, 85, 66, 7,254, 77, 65)( 4,242, 72, 55)( 6,250, 73, 61,
13,240, 69, 62)( 8,255, 83, 58, 16,247, 82, 54)( 9,252, 71, 59,
17,253, 75, 67)( 10,251, 70, 52, 11,244, 80, 56)( 14,241, 76, 68,
15,245, 84, 60)( 18,164,125,216, 22,163,132,206)( 19,154,130,210,
29,158,129,217)( 20,161,136,219, 24,169,128,218)( 21,157,123,208)
( 23,165,124,214, 30,155,120,215)( 25,170,134,211, 33,162,133,207)
( 26,167,122,212, 34,168,126,220)( 27,166,121,205, 28,159,131,209)
( 31,156,127,221, 32,160,135,213)( 35, 45, 40, 46, 39, 44, 47, 36)
( 37, 42, 51, 49, 41, 50, 43, 48)( 86,283,108,267, 90,282,115,257)
( 87,273,113,261, 97,277,112,268)( 88,280,119,270, 92,288,111,269)
( 89,276,106,259)( 91,284,107,265, 98,274,103,266)( 93,289,117,262,
101,281,116,258)( 94,286,105,263,102,287,109,271)( 95,285,104,256,
96,278,114,260)( 99,275,110,272,100,279,118,264)(137,198,142,199,
141,197,149,189)(138,188,147,193,148,192,146,200)(139,195,153,202,
143,203,145,201)(140,191)(144,204,151,194,152,196,150,190)
(171,181,176,182,175,180,183,172)(173,178,187,185,177,186,179,184)
(222,232,227,233,226,231,234,223)(224,229,238,236,228,237,230,235) ]
],
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( 59,112,102,192, 83,230,173,276)( 60,105, 89,195, 78,238,175,287)
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( 63,108, 98,198, 69,237,172,286)( 64,113, 86,203, 70,235,182,278)
( 65,114, 91,200, 79,222,186,274)( 66,111, 88,191, 76,231,187,277)
( 67,104, 99,199, 74,234,181,273)( 68,107,100,196, 71,225,178,282),
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132, 16, 74,105,231,191,183)( 3,227,106,180,189, 64, 12,244,103,129,
203, 81)( 5,210,110, 95,196,268, 15, 23,119,282,198, 47)
( 6,108,112,197,200, 13)( 7,142,109,146,194,149)( 8, 91,111,265,
202, 30, 17,278,113, 44,192,217)( 9,261,117, 27,204,285, 11, 40,107,
214,195, 98)( 10,193,115)( 14,159,116,163,201,166)( 18,136,288, 79,
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230,259,185)( 20,238,276,181, 36, 56,216,246, 86,128,271, 83)
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260,219, 25,102,281,266, 49)( 24,153,279,147, 41,141,211,144, 92,145,
262,151)( 26,272,287, 28, 51,277,215, 42, 90,213,263,100)
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158,218,161, 99,162,269,168)( 32, 34,289,283, 45, 39,209,212, 93, 94,
264,270)( 33, 85,275,232, 38,175,206, 59, 97,247,256,134)
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( 6, 33, 59,213,158,284,245,227, 31, 8,220, 56,281,160,233,252)
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( 11,135, 62,128,164,131,249,125, 28,127,215,124,283,126,232,133)
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( 14, 16, 67, 60,162,165,250,244, 23, 25,212,209,277,279,228,235)
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( 17,186, 55, 77,154,267,253,193, 30,110,206,141,275, 92,231, 48)
( 35,272,185,191, 81,103,257,151,190, 98,112, 36,153,173, 89, 78)
( 37,102,180, 38, 85,171,259, 83,188,268,117,189,149,105, 87,146)
( 44, 51,187,174, 72, 69,256,270,202,200,115,104,138,139, 88, 95)
( 45,136,181,123, 79,120,266,134,198,132,113,121,147,122, 96,129)
( 47,119,172,140, 71, 86,265, 49,204,183,106, 70,137,258,100,197),
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( 3, 92,231,187,207, 90,129,184)( 4, 24,229,255,217,277,135,116)
( 5,126,235, 17,211,226,136,218)( 6,160,227,170,210,158,125,167)
( 7,228,238,221,209,124,133, 14)( 8,245,234,289,220,107,123, 31)
( 9,194,230,204,213,192,128,201)( 10,177,224,102,214,175,122, 99)
( 11, 58,233, 51,205,141,134, 82)( 12, 41,222,153,219, 73,130, 65)
( 13,279,237,119,208, 22,127,252)( 15, 75,232, 68,216, 39,120,150)
( 16,109,225, 34,212,243,132,286)( 18,144,253, 81,283, 67,114, 38)
( 19,263,240,268,274,271,104,259)( 20, 93,248,183,275,101,112,174)
( 21, 25,246,251,285,288,118,106)( 23,161,244,166,278,169,108,157)
( 26,195,247,200,281,203,111,191)( 27,178,241, 98,282,186,105, 89)
( 28, 59,250, 47,273,152,117, 72)( 29, 42,239,149,287, 84,113, 55)
( 30,280,254,115,276, 33,110,242)( 32, 76,249, 64,284, 50,103,140)
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( 37, 86,146,185, 71, 96, 61,182)( 40,154,142,168, 74,164, 57,165)
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240,263)( 8, 41,205,184, 80, 89,224,115,135,159,255,257)
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149, 33,142, 34,138, 25,143)( 19,144, 24,137, 31,148, 21,139, 30,152,
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195)( 60,287,196, 66,281,202)( 61,277,198)( 62,282,192),
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286,232,122,151,179, 56, 69,218,229,105,148,162, 68)( 2, 19, 30, 98,
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60, 52,205,212,110,114,165,170, 17)( 3,138, 26, 64, 86,214,195,106,
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102, 10,189, 21,268, 91,282,198,123,270,176,277, 79,133,236,173,141,
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136, 15,172, 22, 81, 99,231,190,140,264, 57,273,215,127,117,182,158,
85)( 16, 36, 33, 47,101, 44,203, 38,271, 40,288, 45,135, 49,186, 39,
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[ 14, 266342400, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1, "PSL(2, 2^4)^2.SA_16",
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[ ( 1,213, 5,208, 14,212, 3,219, 10,210, 2,220)( 4,218, 8,207, 15,214,
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( 18,247, 39,123, 31,246, 37,134, 27,244, 36,135)( 19,254, 35,128, 22,
242, 48,127, 20,253, 44,125)( 21,252, 42,122, 32,248, 40,121, 33,239,
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( 34,249, 51,130)( 52, 60, 56, 55, 65, 59, 54, 66, 61, 57, 53, 67)
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)( 70,237,273,111, 73,225,286,110, 71,236,282,108)( 72,235,280,105,
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260,157,201, 93,258,168,197)( 92,267,166,194, 97,268,160,199, 98,262,
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( 4, 97,110,217,278, 24, 70, 52,204,146, 49,258,128,249,226,169)
( 5,165,106, 98,280,211, 74, 18,189, 61, 51,139,134,266,230,254)
( 6, 29,104, 64,289,143, 83,256,196,248, 39,156,123, 96,229,220)
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( 11,233,118, 13,284,109, 81,273,194, 78, 35,190,129, 45,224,135)
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( 14,182,116,183,286,177, 82,171,201,180, 48,173,133,181,235,186)
( 15,267,111,251,277,160, 72, 86,195,214, 40, 20,121, 62,238,152)
( 17,148,117,268,281,245, 73,154,191, 95, 42,207,125, 28,223, 67)
( 19, 53, 68,153,151,270,264,247,243,158,157, 89, 93,212,210, 23)
( 21, 87, 59,221,142, 32,257, 60,255,141,168,259, 94,246,209,159)
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( 2,226,263, 29,195,280,242,192,212,159,271,287, 32, 57,201,290,228,
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( 3, 68,115,156,264,174,166, 87,206,270, 23,147,261,252,190,279,133,
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( 4,225,221,180, 67,149, 54,131,116, 5, 7,101,113,275, 71,231,269,
55,150,139,260,154, 73,100, 53,126, 66,168,189,112, 47,179)
( 6,203, 86,227, 12,224,235, 38, 92,106,194,111, 48,146,218,196,107,
155,170, 28,153, 13, 17, 56, 50,214,281, 97, 81,239,247, 25)
( 8,278,276,128, 60, 15,169,172, 65, 14,118, 85,244,157, 45, 95,145,
33,236,105, 72,176,125, 18, 21,175,130, 62,204,202,182,240)
( 9,160, 46, 99,246,138,121,258, 42,257, 94, 80,250,191,151,102,171,
132,229,120,243,273,129,108,198, 76,163,272, 63,265,283,164)
( 19, 88, 39,289,230,110, 96,223,148,222, 69, 52,234, 91,144, 30,181,
26,197,215,127,208, 27,114,282, 82, 61,207,237, 70,251, 58)
( 20, 35, 83,284,262, 44,142, 79,286, 84, 98,152,245,256,178,253,104,
277,184,165,233,241,109, 93,199,266,140,134,173,177, 37,162) ] ],
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PRIMGRP[291]:=
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PRIMGRP[292]:=
[[1, Factorial(292)/2,1,"2",[[291,1]],290, "Alt(292)", ["A",292, 1], "Alt"],
[2, Factorial(292),0,"2",[[291, 1]],292, "Sym(292)", ["A",292, 1], "Sym"]];
PRIMGRP[293]:=
[[1, Factorial(293)/2,1,"2",[[292,1]],291, "Alt(293)", ["A",293, 1], "Alt"],
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[ 6, 21389, 2, "1", [ [ 73, 4 ] ], 1, "293:73", [ "Z", 293, 1 ],
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PRIMGRP[294]:=
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PRIMGRP[295]:=
[[1, Factorial(295)/2,1,"2",[[294,1]],293, "Alt(295)", ["A",295, 1], "Alt"],
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PRIMGRP[296]:=
[[1, Factorial(296)/2,1,"2",[[295,1]],294, "Alt(296)", ["A",296, 1], "Alt"],
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PRIMGRP[297]:=
[[ 1, 13685760, 1, "2", [ [ 256, 1 ], [ 40, 1 ] ], 1, "PSU(5, 2)",
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( 7,132, 73,222,174,112,279, 72,234,198,221)( 8, 45, 74,133, 71,267,
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273,149,229,120,129)( 99,268,206,270,201,288,254,113,127,141,186),
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250,158,210, 89,138,228)( 27,232,136,124,134,274,156,258, 80,256,234,
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276,166, 43,284,216,185,242,117)( 41,173,245,181,249, 66)
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( 3,243,295, 92,140,170)( 4,241, 89,211, 82,158)( 5,269, 56)
( 6, 27,210,261,290,182)( 7, 85,204, 86,250, 20)( 8,154,199, 33,
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( 14,214,143,124,201, 18)( 15, 36, 77,247, 35, 40)( 16,128, 93,127,
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( 22, 23,229,283, 83,171)( 25,254,237,286,245,115)( 26,144, 30,110,
62,153)( 28,209,190, 80,123,274)( 29,252,282)( 32,168,293,172,103,
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( 38, 52,217,218,109,248)( 39,121,151,126,265,155)( 41,220,287, 59,
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( 44, 98, 45,251, 63,215)( 46, 73,135, 90, 53,270)( 47,253, 60,105,
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( 57,117,150,160,224,161)( 58,179,230, 67,133,138)( 61,113,208,242,
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PRIMGRP[298]:=
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[2, Factorial(298),0,"2",[[297, 1]],298, "Sym(298)", ["A",298, 1], "Sym"]];
PRIMGRP[299]:=
[[1, Factorial(299)/2,1,"2",[[298,1]],297, "Alt(299)", ["A",299, 1], "Alt"],
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PRIMGRP[300]:=
[[ 1, 7800, 1, "2", [ [ 26, 6 ], [ 13, 11 ] ], 1, "PSL(2, 5^2)",
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( 9,243)( 10,177)( 11,141)( 12,298)( 13,267)( 14,260)( 15,103)
( 16,113)( 17,238)( 18,180)( 19,292)( 20, 30)( 21,268)( 22,299)
( 23, 42)( 24,272)( 25,137)( 26,174)( 27, 71)( 28,102)( 29, 45)
( 31, 82)( 32,244)( 33,167)( 34,207)( 35, 47)( 36, 60)( 37, 57)
( 38,183)( 39,226)( 43,182)( 44,233)( 46,262)( 48,192)( 49, 62)
( 50, 59)( 51,271)( 52,168)( 53,176)( 54,246)( 55,178)( 56,234)
( 58,222)( 61, 64)( 63,250)( 65, 76)( 67,186)( 68,152)( 69, 80)
( 70,111)( 73,237)( 74, 98)( 75,230)( 77,287)( 78,201)( 79,269)
( 81, 94)( 83,210)( 84,270)( 85,217)( 86,289)( 87,161)( 88,228)
( 89,162)( 90, 93)( 91,224)( 92,291)( 95,154)( 97,170)( 99,197)
(100,288)(105,275)(106,227)(107,263)(108,290)(109,251)(110,242)
(112,190)(114,181)(116,194)(117,132)(120,129)(122,212)(123,278)
(124,214)(125,166)(126,282)(127,235)(128,274)(130,149)(131,158)
(133,252)(135,142)(136,223)(138,264)(139,256)(140,277)(143,276)
(144,294)(145,220)(146,159)(147,293)(148,255)(150,229)(151,205)
(153,258)(155,163)(157,247)(160,257)(164,173)(165,283)(169,254)
(171,216)(175,206)(179,185)(184,198)(187,200)(188,297)(189,281)
(193,280)(195,203)(196,211)(199,232)(202,240)(204,265)(209,295)
(213,285)(215,236)(218,225)(221,259)(239,273)(241,286)(245,249)
(253,296)(261,284)(266,300),
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( 10, 13,257, 90,210)( 11,116,189, 66,219)( 12,161,262,153,155)
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192)( 4,202, 63,111,205,251,249, 82, 14,266,174,275)
( 5, 97, 94,247,260, 96, 21,271,113,229,180,147)( 7,173, 71, 39,123,
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(113,271)(114,222)(115,120)(117,298)(119,136)(121,158)(123,284)
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( 26,266,125, 58)( 27,146,198,127)( 28, 37,265, 85)( 29, 48,215, 56)
( 31, 80,264,119)( 32, 70,271,214)( 33,189,273,178)( 34,225,193,297)
( 36, 63,227,220)( 38,237,205,192)( 39, 96,208,158)( 42,172,296,293)
( 43,162,145,202)( 44,104, 98,150)( 45, 61,248,289)( 47, 62,295,204)
( 49,120,269,240)( 51,183,181,100)( 54,245,291,169)( 55,103,112, 67)
( 57,278,182,288)( 59,260,235,144)( 60,282,153,168)( 64,234,232, 90)
( 65,190, 87,261)( 69,128)( 71,134,147,105)( 72,101,218,203)
( 73,129,160, 78)( 75,299,284,294)( 76,239,279,180)( 79,174, 88,106)
( 82,130,287,222)( 84,109, 99,194)( 89,199,117,143)( 91,179,211,256)
( 95,230,140,281)(102,286,228,118)(107,283,151,253)(108,251,275,110)
(111,236)(113,175,298,157)(114,238,195,139)(115,233,300,165)
(121,164,191,223)(122,166,267,258)(123,221,263,229)(124,154,156,185)
(132,167,201,200)(142,243,292,241)(152,219,177,207)(159,224,209,290)
(171,259) ] ],
[ 4, 15600, 0, "2", [ [ 26, 11 ], [ 13, 1 ] ], 1, "PSL(2, 5^2).2",
[ "L", [ 2, 25 ], 1 ],
[ ( 1,227)( 2,136)( 3, 69)( 4,254)( 5,173)( 6, 43)( 8, 86)( 9,200)
( 10,244)( 11, 88)( 12,237)( 13, 58)( 14,101)( 15,143)( 16,183)
( 17,105)( 18,269)( 19,211)( 20, 92)( 21,283)( 22,134)( 23,100)
( 24,122)( 25,151)( 26, 29)( 27,110)( 28,290)( 30,193)( 31,131)
( 32,194)( 34,297)( 35,192)( 36,220)( 37, 51)( 38,128)( 39,233)
( 40,109)( 41,212)( 42, 75)( 44,102)( 45, 96)( 46,278)( 48,287)
( 49,118)( 50,135)( 53,265)( 54,217)( 55,239)( 56,252)( 57,274)
( 59, 99)( 60,121)( 61,246)( 62,270)( 63,205)( 64, 76)( 65, 71)
( 66,209)( 67, 97)( 68,124)( 70,235)( 72,157)( 73,255)( 74,299)
( 77,242)( 78,272)( 79,174)( 80,248)( 82,145)( 83,273)( 84,201)
( 85,296)( 89,104)( 90,267)( 91,243)( 93,258)( 94,123)( 95,191)
( 98,277)(103,166)(106,221)(107,260)(108,161)(111,130)(112,279)
(113,218)(114,184)(115,126)(116,190)(117,148)(119,253)(120,206)
(125,291)(127,251)(129,245)(133,146)(137,231)(138,214)(139,177)
(140,159)(141,300)(142,162)(147,219)(149,234)(150,195)(153,181)
(154,247)(155,289)(156,275)(158,213)(160,202)(163,249)(164,178)
(165,167)(168,189)(169,171)(170,262)(172,281)(175,185)(176,226)
(179,250)(180,257)(182,259)(186,261)(187,222)(188,203)(196,225)
(197,230)(198,298)(199,240)(204,284)(207,268)(210,256)(215,292)
(216,293)(223,294)(228,238)(229,276)(232,285)(236,241)(264,271)
(266,288)(282,295), ( 1,239,190, 35,121)( 2, 54, 56, 86,248)
( 3, 48,176,195, 78)( 4, 64,294, 71,192)( 5, 87,221,256, 88)
( 6,274,156,114,244)( 7,205,178, 81,289)( 8,227, 25, 53,191)
( 9,262,102,298,173)( 10,228, 26,202,300)( 11,165, 96,285,150)
( 12, 80, 83,293, 31)( 13,237, 82,286, 39)( 14,163,231,169, 18)
( 15,287, 45, 23,153)( 16,180,197,260,291)( 17,267, 63,204, 69)
( 19,116, 79, 94,261)( 20,206,236, 97,271)( 21, 91,182, 76,214)
( 22,162,110, 30,278)( 24,283,181,140, 58)( 27,266, 93,252,161)
( 28,296,159,281,280)( 29,108,122,251, 57)( 32,223,172,200,272)
( 33, 60,245, 68, 43)( 34, 37,290,183, 66)( 36,152,268,219,105)
( 38,220,212,282,103)( 40,224,166,168,255)( 41, 92,111,295,155)
( 42,107,279,145, 77)( 44,128,213,187,222)( 46,226,257,210,264)
( 47,254,120, 70,113)( 49,115,185,134,143)( 50, 85,131,253,230)
( 51, 89,208,100,215)( 52,232,124,125,249)( 55,216,142,119,269)
( 59,238,193, 74,188)( 61,139,201, 90,106)( 62,184,203,196,144)
( 65,167,148,275,199)( 67,170,235,130,299)( 72,118,284,194,135)
( 73, 75,138, 84, 95)( 98,270,265,158,241)( 99,112,129,209,273)
(101,157,133,198,174)(104,242,186,127,132)(109,263,207,258,126)
(117,288,149,123,175)(136,141,277,233,229)(137,240,276,259,218)
(146,250,243,297,147)(151,171,246,292,234)(154,189,160,217,164)
(177,211,225,247,179) ] ],
[ 5, 31200, 0, "2", [ [ 13, 1 ], [ 26, 3 ], [ 52, 4 ] ], 1, "PSL(2, 5^2).2^2",
[ "L", [ 2, 25 ], 1 ],
[ ( 1,210)( 2,116)( 3, 5)( 4,276)( 6, 99)( 7, 38)( 8, 94)( 9,194)
( 10,222)( 11,272)( 12, 95)( 13, 33)( 14,227)( 15,241)( 16,293)
( 17,159)( 18,223)( 19,213)( 20,277)( 21,136)( 22, 65)( 23,124)
( 24,239)( 25,146)( 26,162)( 27,226)( 28,250)( 29,281)( 30,198)
( 31,225)( 32, 81)( 34,160)( 35,154)( 36,201)( 37,257)( 39,172)
( 40,244)( 41,164)( 42,273)( 43, 79)( 44,148)( 45,112)( 46,155)
( 47,131)( 48,193)( 49, 57)( 50, 96)( 51,289)( 52,218)( 53,101)
( 54,251)( 55,288)( 56, 63)( 58, 61)( 59,179)( 60,157)( 62, 82)
( 64,114)( 66,268)( 67,118)( 68,150)( 69,110)( 70,296)( 71,298)
( 72,287)( 73,182)( 74,180)( 75,236)( 76,260)( 77,265)( 78, 91)
( 80,109)( 83,141)( 84,238)( 85,204)( 86,300)( 87,247)( 88,126)
( 89,275)( 90,217)( 92,242)( 93,219)( 97,211)( 98,156)(100,286)
(102,168)(103,231)(104,252)(105,121)(106,117)(107,284)(108,191)
(111,283)(113,185)(115,133)(119,186)(120,196)(122,200)(123,190)
(125,299)(127,139)(128,169)(129,153)(130,232)(132,290)(134,202)
(135,259)(137,209)(138,188)(140,295)(142,149)(143,285)(144,174)
(145,192)(147,208)(151,291)(152,266)(158,235)(161,175)(163,184)
(165,187)(166,240)(167,253)(170,224)(171,195)(173,255)(176,271)
(177,221)(178,248)(181,216)(183,189)(197,256)(199,203)(205,230)
(206,258)(207,234)(212,254)(214,233)(215,261)(220,228)(229,292)
(237,280)(243,278)(245,267)(246,263)(249,274)(262,270)(264,269)
(279,294)(282,297), ( 1, 65,175, 95)( 2, 32,123, 13)( 3, 87,214,126
)( 4, 93,209, 20)( 5, 42, 99, 91)( 6,114,148, 86)( 7,252, 45,187)
( 8, 81,194,281)( 9,190,162,122)( 10,279,204, 40)( 11, 79,141,110)
( 14,237,210,170)( 15,120, 19,129)( 16,241,257,207)( 17,262, 77, 68)
( 18,165,222, 70)( 21, 33, 25, 67)( 22,205)( 23, 53,224,140)
( 24,135, 47,213)( 26,293,183,300)( 27,287,109,238)( 28, 64,130, 37)
( 29, 88,118,239)( 30,230, 90,127)( 31, 75,216,235)( 34,161,286,282)
( 35,255,272,172)( 36,178, 60,271)( 38,167,174,186)( 39,200,211,133)
( 41, 84,206,229)( 43,119,164,278)( 44,145,233,284)( 46,234,152,259)
( 48,177,192,265)( 49,283,184,111)( 50, 89,276,243)( 51, 96, 55, 66)
( 52,100,185,218)( 56, 71,221,251)( 57,115, 61,116)( 58,132,180,291)
( 59, 74,143,163)( 62,117,198, 92)( 63,128,159,245)( 69,201,258,236)
( 72,242,231,269)( 73,288, 97,225)( 76,188,154,106)( 78,254,215,144)
( 80,296,153,105)( 82,295,171,101)( 83,168,260,179)( 85,138,203,264)
( 94,102,189,149)( 98,112,155,212)(103,208,292,156)(104,217,121,195)
(107,223,166,199)(113,134,160,124)(125,250,263,146)(131,182,247,173)
(136,274,232,249)(137,266,268,147)(142,289,285,181)(150,297,270,227)
(157,267,158,244)(169,253,294,275)(176,240,277,193)(191,202,197,280)
(196,228,226,273)(219,220,248,261)(246,290)(256,298) ] ],
[ 6, 4680000, 1, "2", [ [ 104, 1 ], [ 130, 1 ], [ 65, 1 ] ], 1, "PSp(4, 5)",
[ "B", [ 2, 5 ], 1 ],
[ ( 1, 92, 59, 20, 97,275,116,230,175,155,121,110)( 2,102,107,195,221,196,
105, 93, 55,132,191,178)( 3, 46,209,288, 68,123, 16, 42,179,220, 9,
237)( 4,278, 54,207,202,183,186,145,254,180, 77,136)
( 5,246, 83, 24,214, 85, 86, 33,139,291, 15,227)( 7,213,231,260)
( 8,122,244,253,124, 75,119,150,211, 14,111,261)( 10,264, 71, 64,142,
88, 58,104, 94,247,112,233)( 11,229, 23,171,206,166,100,125,298,222,
115,285)( 12,256,130,141, 87, 21,157,259, 39,128, 67, 51)
( 13,296,216, 32,217,134, 18,292,140, 22, 47, 72)( 17,118,165)
( 19,113, 81,250,235,106, 49,265,146,144,266, 99)( 25, 43,109,151, 34,
27, 38,236, 82,280,226, 61)( 26,257,269,293, 35,185, 73,274,137, 62,
96, 84)( 28,120,287,135,101,189, 89,273,152,218,224, 45)
( 29, 37,161,187,117,163,198,194,294, 30,277,263)( 31,215, 44,133, 41,
50,148,219,164,272,156,242)( 36,177,153,159,170, 60,284,192,167, 40,
225,228)( 48,270, 63,188,200,190,129,193, 95,149, 74,147)
( 52,212,203,289,268,108,281,249, 69,143,240,204)( 53,243,174,131,210,
78,282, 57,138,223,232, 90)( 56,271,286,173,262,184,299,176, 80,103,
127,197)( 65,158,169,238,245,283,172,126,208,154, 91,239)
( 66,251,276,162)( 70,168)( 76,114,252,199,160,300,258,295,205,267,
182,248)( 79,181,297,241)( 98,279,201,255,290,234),
( 1,102, 25,258, 97,168,241,121,219, 98,177, 59,181)( 2,191,113,196,
40,170,229, 19,125, 5,228, 96,171)( 3,273, 14,298, 58,202, 39, 9,
24,145,172, 72,279)( 4,173, 11,132,136,154,286,235, 55,248,270,255,
60)( 6,165,205,114,111, 17, 7, 85,101,284,186, 90,218)
( 8,277,108,299, 70,142,237, 22,180, 21,174,283,269)( 10, 26,183,182,
149,144, 71,175, 41,243, 68, 82,124)( 12, 80,176,264, 52,238,164, 94,
232,230,259,296, 61)( 13, 37,185,159, 86, 27, 92,260,263,169,272, 88,
166)( 15,178,276,295, 65, 78,150,139,190,293,262, 38,249)
( 16,207,214,233,294, 33,179,287,100, 73,234, 45,231)( 18,153,115,291,
189,104, 77, 20,254, 44,118,215,206)( 23, 83,281, 28, 54,217, 49, 95,
225,131,239, 42, 64)( 29,261,109,268,160, 56,201,120,119,143,242,220,
43)( 30,204, 31,152,156,126,141,240, 50, 57,157,134, 53)
( 32,257,162, 74,250,288,192,194,138, 48,105,151,148)( 34,128,244,147,
278,211,224,265, 35,252,208, 76,246)( 36, 91, 89, 87,267,187,140, 99,
209,223,193,163,155)( 46,195,253,290,227,161,130,116,112,167,158,133,
226)( 47,107,271,213,282, 84,297,184,222,110, 79,103,251)
( 51,216,274, 93, 67,203,188,236,197,256, 75,247,289)( 62,300,122,117,
292,106, 63,210, 69,198,135,280,200)( 66,199,129, 81,146,123,245,212,
137,221,266,275,127) ] ],
[ 7, 9360000, 0, "2", [ [ 104, 1 ], [ 130, 1 ], [ 65, 1 ] ], 1,
"PSp(4, 5).2", [ "B", [ 2, 5 ], 1 ],
[ ( 1,151,223,119,280,146)( 2, 16,215, 58, 5, 39)( 3,264, 95,240,172,256
)( 4,233, 14, 46,214, 41)( 6,178,282,114, 90,221)( 7,247,173, 82,
103,250)( 8,276, 87,130,241, 50)( 9,197, 53,106,169,277)
( 10, 38,117,148,140, 93)( 11,263,126,206, 57,296)( 12,120,269,157,
203,108)( 13, 34,275)( 15,144,180,273,202,201)( 17, 24, 22,136,245,
45)( 18,161,285, 80, 44,260)( 19, 55,200,261,187,226)( 20, 25, 48)
( 21,154,143,217, 99,288)( 23,192, 65,181,125,135)( 26,159, 66,238,
171,167)( 27,191,193, 70,102, 83)( 28,283,235,222,268,198)
( 29,299,194, 71,231,266)( 30,158,104, 78,271,123)( 31, 75,298,297,
162,153)( 32, 69,199, 96, 88,155)( 33,107,168,134,196, 61)
( 35,239,207,188, 86,165)( 36,219,224,100,116,229)( 37,289,177, 94,
91,293)( 40, 59,170,185,111,115)( 42,179,211, 72,270,272)
( 43,175,142,236,242,138)( 47,274,132,259,205,251)( 49,124,220,195,
67,291)( 51,105,152, 63, 79,258)( 52, 84,139,176, 89,254)
( 54,122, 85,209,164,113)( 56,237, 73,141,218, 68)( 60,112, 92,182,
131,234)( 62,184,246,101,249,186)( 64,227, 98, 77,137,183)
( 74,118,216)( 76,287,295,257,252,279)( 81,166,255,174,160,230)
( 97,190,281,121,212,292)(109,156,210,128,243,150)(110,265,189,248,
204,149)(127,286,278)(129,213,253,262,228,163)(133,145,244)
(147,232,284,208,294,225)(267,300,290),
( 1, 42, 14,101,254)( 2,203,288, 27,180,130,250,114,222,218,216, 18,
78,111,133, 11,191,271,275, 87)( 3,112, 41,295, 17, 74, 62, 49, 77,
137,120,185,168,300, 94,262,225,287,158, 36)( 4,153,176,139,188,186,
274, 72, 57,151,289, 58, 89,198,266,237, 35,235,238, 28)
( 5,272, 54,144, 70,193,109,239,261,121,146,282,156,265, 38, 22,206,
15, 33,160)( 6,244, 24,294, 60,104,277,207, 93,177,247, 32, 80,297,
162, 98,270,208,229,159)( 7, 71,103, 25,138,202,142,148,245,172,199,
73,190,253,263, 86, 84, 20, 85,258)( 8,251, 68,232,201,131,264,240,
59,290,166, 64,122,252, 88,171,192,150,221, 66)( 9,231, 92, 48,125,
226,117,143, 37,243,182,149,164,179,259,189,249, 19,181,173)
( 10, 55, 39,174, 45,118,242,200,163,227,279,299,127,278, 91,257, 13,
260,129, 23)( 12, 67,136,217)( 16,281, 76, 81,108)( 21,161,224,106,
273,223,155,184, 65,105, 46,102,126,241, 82,119,204,236, 75, 30)
( 26,284,246,292, 52,165,293, 50, 51,183,170,269,116, 61,115,234,255,
107, 31, 47)( 29,268,280,141, 69, 79,298,211,152,219,147, 97,267, 44,
145,110, 34,220,123, 99)( 40,169,283, 90,194,228,140,214,197,215,233,
63,128, 43,205,276,291,230,195,175)( 53,213,210,248,256,100,187, 56,
212,178,286,135,113,134,285,157, 95,209,132,296)( 83,154,124,196)
( 96,167) ] ],
[ 8, 7755605021665492992000000, 1, "2", [ [ 253, 1 ], [ 46, 1 ] ], 1,
"Alt(25)", [ "A", 25, 1 ],
[ ( 2, 3, 5, 8, 12, 17, 23, 30, 38, 47, 57, 68, 80, 93,107,122,138,155,
173,192,212,233,255)( 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92,
106,121,137,154,172,191,211,232,254,277,300)( 6, 10, 15, 21, 28, 36,
45, 55, 66, 78, 91,105,120,136,153,171,190,210,231,253,276,299,278)
( 9, 14, 20, 27, 35, 44, 54, 65, 77, 90,104,119,135,152,170,189,209,
230,252,275,298,256,279)( 13, 19, 26, 34, 43, 53, 64, 76, 89,103,118,
134,151,169,188,208,229,251,274,297,234,257,280)( 18, 25, 33, 42, 52,
63, 75, 88,102,117,133,150,168,187,207,228,250,273,296,213,235,258,
281)( 24, 32, 41, 51, 62, 74, 87,101,116,132,149,167,186,206,227,249,
272,295,193,214,236,259,282)( 31, 40, 50, 61, 73, 86,100,115,131,148,
166,185,205,226,248,271,294,174,194,215,237,260,283)( 39, 49, 60, 72,
85, 99,114,130,147,165,184,204,225,247,270,293,156,175,195,216,238,
261,284)( 48, 59, 71, 84, 98,113,129,146,164,183,203,224,246,269,292,
139,157,176,196,217,239,262,285)( 58, 70, 83, 97,112,128,145,163,182,
202,223,245,268,291,123,140,158,177,197,218,240,263,286)
( 69, 82, 96,111,127,144,162,181,201,222,244,267,290,108,124,141,159,
178,198,219,241,264,287)( 81, 95,110,126,143,161,180,200,221,243,266,
289, 94,109,125,142,160,179,199,220,242,265,288),
( 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)(255,278,300) ] ],
[ 9, 15511210043330985984000000, 0, "2", [ [ 253, 1 ], [ 46, 1 ] ], 1,
"Sym(25)", [ "A", 25, 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)( 4, 6, 8, 11, 14, 18, 22, 27, 32, 38,
44, 51, 58, 66, 74, 83, 92,102,112,123,134,146,158,171,170)
( 9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67, 75, 84, 93,103,113,
124,135,147,159,172,184,183,196)( 16, 20, 24, 29, 34, 40, 46, 53, 60,
68, 76, 85, 94,104,114,125,136,148,160,173,185,198,197,209,222)
( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,115,126,137,149,161,
174,186,199,211,210,223,235,248)( 36, 42, 48, 55, 62, 70, 78, 87, 96,
106,116,127,138,150,162,175,187,200,212,225,224,236,249,261,271)
( 49, 56, 63, 71, 79, 88, 97,107,117,128,139,151,163,176,188,201,213,
226,238,237,250,262,272,280,287)( 64, 72, 80, 89, 98,108,118,129,140,
152,164,177,189,202,214,227,239,252,251,263,273,281,288,293,297)
( 81, 90, 99,109,119,130,141,153,165,178,190,203,215,228,240,253,247,
260,270,279,286,292,296,299,300)(100,110,120,131,142,154,166,179,191,
204,216,229,241,254,264,221,234,246,259,269,278,285,291,295,298)
(121,132,143,155,167,180,192,205,217,230,242,255,265,274,195,208,220,
233,245,258,268,277,284,290,294)(144,156,168,181,193,206,218,231,243,
256,266,275,282,169,182,194,207,219,232,244,257,267,276,283,289),
( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
( 90,100)(110,121)(132,144)(156,169)(157,170)(171,183)(182,195)
(184,197)(198,210)(208,221)(211,224)(225,237)(234,247)(238,251)
(252,260) ] ],
[10, Factorial(300)/2,1,"2",[[299,1]],298, "Alt(300)", ["A",300, 1], "Alt"],
[11, Factorial(300),0,"2",[[299, 1]],300, "Sym(300)", ["A",300, 1], "Sym"]];