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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[721]:=
[[1, Factorial(721)/2,1,"2",[[720,1]],719, "Alt(721)", ["A",721, 1], "Alt"],
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PRIMGRP[722]:=
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PRIMGRP[723]:=
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PRIMGRP[724]:=
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[ ( 1,417,238,715,592,118,485,177,303,153,628,548,257,532, 75,389)
( 2,282,219,688,576,658,486, 96,317,504,637,602,266,451, 78,200)
( 3,687,225,661,594, 91,479,501,313,612,644,440,267,208, 56,281)
( 4,336,221,364,571,334,464,366,301,342,626,359,247,343, 59,362)
( 5,363,220,337,572,361,463,339,302,369,625,332,248,370, 58,335)
( 6,147,223,553,581,523,480,393,298,423,643,710,268,127, 80,173)
( 7,552,230,526,588,388,460,420,319,720,646,116,269,181, 60,146)
( 8,255,235, 67,578, 10,471,231,310,585,631,467,258,316, 72,632)
( 9,660,243, 94,587,496,475,609,320,450,645,197,245,289, 57,686)
( 11, 12,228,229,580,577,469,474,312,315,639,629,251,262, 73, 65)
( 13,579,226,472,582,307,477,636,305,261,640, 62,254, 19, 66,227)
( 14,525,237,391,568,415,481,717,322,126,647,170,249,154, 61,551)
( 15,309,234,634,575,253,478, 69,308, 18,633,224,256,586, 64,470)
( 16,606,239,445,591,199,461,285,300,693,630,656,270,100, 74,497)
( 17, 39,233, 40,584, 37,476, 42,314, 45,638, 35,260, 46, 71, 38)
( 20,498,232,607,590,442,483,204,299,288,624,683,252,667, 81, 92)
( 21,390,217,418,589,712,484,123,323,180,627,143,250,559, 68,524)
( 22,714,241,121,593,172,465,150,304,558,635,521,264,397, 55,416)
( 23,444,240,202,569,280,462,690,306,666,648, 89,263,505, 70,605)
( 24,201,218,283,570,685,468,663,324, 99,641,494,259,613, 77,443)
( 25,120,242,175,573,145,466,555,311,531,642,386,244,424, 76,713)
( 26,174,222,148,574,550,473,528,318,396,622,413,265,721, 79,119)
( 27, 93,236,499,583,604,482,447,321,207,623,278,246,694, 63,659)
( 28,422, 49,719, 52,125, 53,179, 33,152, 34,557, 41,530, 48,395)
( 29,287, 30,692, 36,665, 54, 98, 47,503, 43,611, 50,449, 51,206)
( 31,341, 32,368)( 82,425,508,718,619,131,458,186,195,137,277,543,689,
522,669,405)( 83,290,489,691,603,671,459,105,209,488,286,597,698,441,
672,216)( 84,695,495,664,621,104,452,510,205,596,293,435,699,198,650,
297)( 85,344,491,367,598,347,437,375,193,326,275,354,679,333,653,378)
( 86,371,490,340,599,374,436,348,194,353,274,327,680,360,652,351)
( 87,155,493,556,608,536,453,402,190,407,292,705,700,117,674,189)
( 88,560,500,529,615,401,433,429,211,704,295,111,701,171,654,162)
( 90,668,513, 97,614,509,448,618,212,434,294,192,677,279,651,702)
( 95,533,507,394,595,428,454,726,214,110,296,165,681,144,655,567)
(101,506,502,610,617,455,456,213,191,272,273,678,684,657,675,108)
(102,398,487,421,616,725,457,132,215,164,276,138,682,549,662,540)
(103,722,511,124,620,185,438,159,196,542,284,516,696,387,649,432)
(106,128,512,178,600,158,439,564,203,515,291,381,676,414,670,729)
(107,182,492,151,601,563,446,537,210,380,271,408,697,711,673,135)
(109,431,184,708,160,115,566,176,519,156,385,541,419,535,723,403)
(112,350,167,357,139,331,545,365,517,345,383,352,409,346,707,376)
(113,377,166,330,140,358,544,338,518,372,382,325,410,373,706,349)
(114,161,169,546,149,520,561,392,514,426,400,703,430,130,728,187)
(122,539,183,384,136,412,562,716,538,129,404,163,411,157,709,565)
(133,134,188,168,141,142,547,554,527,534,399,379,406,427,724,727)
(328,329,356,355), ( 1,187,535,419,114,397,452, 81,584, 45,227, 89)
( 2,484,539,554,112,343,444,648,576,504,226,656)( 3,619,520,149,131,
289,435,621,574,153,239,278)( 4,349,525,635,117,505,442,675,569,477,
242,548)( 5,376,534,716,123,208,445,324,583,693,240,251)
( 6,403,533, 68,125, 46,443,108,568,180,238,413)( 7,160,536,284,111,
613,439,162,590,288,219,602)( 8, 25,538,527,122,127,451,459,594,585,
234,224)( 9,511,523,662,110,478,458,567,571,342,228,629)
( 10,673,515,473,134,559,436,351,579,639,225,494)( 11,106,514,176,130,
424,438,405,587, 72,233, 35)( 12,646,522,500,118,667,434,486,593,558,
220,332)( 13,322,529,689,132,262,437,378,588,720,231,197)
( 14,133,532,446,135,586,450,243,575, 18,241,521)( 15,214,526,311,124,
694,456,270,572,369,237,710)( 16,700,537,257,113,370,453,729,582,207,
229,305)( 17, 52,524, 95,109,181,454,432,573,396,236, 62)
( 19,457,540,581,126,235,440, 27,592,531,230,116)( 20, 79,530, 41,119,
100,433,189,589,423,222,386)( 21,727,528,203,121,316,448,702,591,261,
221,359)( 22,430,519,392,128, 73,449, 54,578, 99,217,170)
( 23,295,516,608,115,154,455,297,570,612,223,143)( 24,268,518,365,129,
721,447,216,580,315,232,683)( 26,565,517,338,120,640,441,513,577,666,
218,467)( 28,173,103,406,168,400,425, 60,395, 47, 65, 98)
( 29,470,107,541,166,346,417,627,387,506, 64,665)( 30,605, 88,136,185,
292,408,600,385,155, 77,287)( 31,335, 93,622,171,508,415,654,380,479,
80,557)( 32,362,102,703,177,211,418,303,394,695, 78,260)
( 33,389,101, 55,179, 49,416, 87,379,182, 76,422)( 34,146,104,271,165,
616,412,141,401,290, 57,611)( 36,497, 91,649,164,481,431,546,382,344,
66,638)( 37,659, 83,460,188,562,409,330,390,641, 63,503)
( 38, 92, 82,163,184,427,411,384,398, 74, 71, 44)( 39,632, 90,487,172,
670,407,465,404,560, 58,341)( 40,308, 97,676,186,265,410,357,399,722,
69,206)( 42,200, 94,298,178,697,429,249,383,371, 75,719)
( 43,686,105,244,167,373,426,708,393,209, 67,314)( 48,713, 96,190,175,
319,421,681,402,263, 59,368)( 50,281, 84,595,169,157,428,276,381,614,
61,152)( 51,254, 86,352,183,724,420,195,391,317, 70,692)
( 53,551, 85,325,174,643,414,492,388,668, 56,476)(137,482,296,543,598,
331,147,644,279,489,604,655)(138,617,277)(139,347,282,624,603,493,
145,671,272,462,620,547)(140,374,291,705,609,196,148,320,286,678,618,
250)(142,158,293,273,597,601)(144,509,280,651,596,466,161,563,274,
327,606,628)(150,212,283,300,610,682,159,266,275,354,615,709)
(151,698,294,246,599,358,156,725,285,192,607,304)(191,472,323,556,679,
348,255,626,360,507,712,663)(193,337,309,637,684,510,253,653,353,480,
728,555)(194,364,318,718,690,213,256,302,367,696,726,258)
(198,499,307,664,677,483,269,545,355,345,714,636)(199,661,299,475,701,
564,247,329,363,642,711,501)(201,634,306,502,685,672,245,464,377,561,
706,339)(202,310,313,691,699,267,248,356,372,723,717,204)
(205,688,321,259,680,375,264,707,366,210,715,312)(215,553,301,340,687,
645,252,491,361,669,704,474)(326,471,647,549,490,334,660,623,468,512,
550,652)(328,336,633,630,495,496,658,650,461,485,566,544)
(333,498,631,657,488,469,674,542,463,350,552,625) ] ],
[ 4, 5374771200, 0, "4c",
[ [ 100, 1 ], [ 320, 1 ], [ 256, 1 ], [ 20, 1 ], [ 32, 1 ] ], 1,
"PGammaU(4, 2) wreath Sym(2)", [ "B", [ 2, 3 ], 2 ],
[ ( 1,452,650,304,629,706,489,352,447,164,310, 8,722,651,358,636,166,499)
( 2,317,656,709,624,355,501,163,445)( 3,371,663,169,634, 4,506,649,
439,623,301,494,703,435,353,312,170,715)( 5,425,667, 88,637,274,495,
568,446,326,322,602,725,219,362,204,174,148)( 6,560,669,466,639, 31,
496, 55,458,380,319,521,726,246,368,690,189,121)( 7,641,652,493,622,
436,488,298,440,704,300,359,717,165,364, 15,182,661)( 9,587,662,331,
646,598,509,217,443,191,309,143,707,408,370, 96,178,283)
( 10, 74,674,385,643,517,510,244,449,677,324,116,708,543,372,474,180,
40)( 11,209,660,142,626,409,505, 82,448,272,306,575,716,327,376,609,
185,229)( 12,155,653,412,640, 85,502,271,441,569,311,332,727,597,374,
231,173,202)( 13, 20,668,655,628,625,490,487,433,434,299,305,710,705,
354,366,177,175)( 14,344,673,601,644,220,497,190,444,137,302,413,721,
84,367,285,171,580)( 16,290,657,574,635,328,511,595,455,218,308,197,
714,138,356,420,181, 94)( 17,695,675,115,627,544,507,460,450, 29,307,
62,728,381,373,528,186,256)( 18, 47,658, 61,647,382,508,514,456,245,
314,683,729,111,357,555,183,472)( 19,101,664,277,630,571,500,325,457,
596,320,224,713,192,363,150,167,418)( 21,479,666, 34,631, 58,512,379,
454,515,321,251,719,678,378,123,168,553)( 22,533,672,250,638,679,513,
109,438,542,318,467,720, 30,361, 69,188,391)( 23,236,659,196,633,139,
491,406,451, 83,313,278,711,570,365,339,187,607)( 24,263,665,682,648,
112,492,541,453,461,315, 35,712, 57,377,393,184,526)( 25,614,671,223,
632,193,498,136,437,407,316, 89,718,273,360,582,176,337)
( 26,398,670,520,645,247,503,676,459,110,303,548,723,462,369, 42,172,
67)( 27,128,654,547,642,463,504, 28,442, 56,323,386,724,516,375,258,
179,688)( 32,415, 73,107,394,292,522,591,257,341,700,621,131,222,551,
210,471,153)( 33,550, 75,485,396, 49,523, 78,269,395,697,540,132,249,
557,696,486,126)( 36,577, 68,350,403,616,536,240,254,206,687,162,113,
411,559,102,475,288)( 37, 64, 80,404,400,535,537,267,260,692,702,135,
114,546,561,480,477, 45)( 38,199, 66,161,383,427,532,105,259,287,684,
594,122,330,565,615,482,234)( 39,145, 59,431,397,103,529,294,252,584,
689,351,133,600,563,237,470,207)( 41,334, 79,620,401,238,524,213,255,
152,680,432,127, 87,556,291,468,585)( 43,280, 63,593,392,346,538,618,
266,233,686,216,120,141,545,426,478, 99)( 44,685, 81,134,384,562,534,
483,261)( 46, 91, 70,296,387,589,527,348,268,611,698,243,119,195,552,
156,464,423)( 48,469, 72, 53,388, 76,539,402,265,530,699,270,125,681,
567,129,465,558)( 50,226, 65,215,390,157,518,429,262, 98,691,297,117,
573,554,345,484,612)( 51,253, 71,701,405,130,519,564,264,476,693, 54,
118, 60,566,399,481,531)( 52,604, 77,242,389,211,525,159,248,422,694,
108,124,276,549,588,473,342)( 86,421,289, 90,583,284,333,592,608,347,
241,605,212,228,146,194,417,154)( 92,205,282,144,572,419,343,106,610,
293,225,578,203,336,160,599,428,235)( 93,151,275,414,586, 95,340,295,
603,590,230,335,214,606,158,221,416,208)( 97,286,279,576,581,338,349,
619,617,239,227,200,201,147,140,410,424,100)(104,232,281,198,579,149,
329,430,613), ( 1,540, 79,617,188,391, 49,415,140,451)
( 2,378, 60,644,170,715, 48,469,146,316, 4,567, 57,212,176,337, 51,
253,142,505)( 3,216, 68,347,186,256, 34,496,137,370, 6,648, 62,725,
183,472, 38,307,139,559)( 5,459, 55,536,187,607, 53,388,157,424)
( 7,513, 56,374,168,634, 35,712,156,478, 11,324, 58,563,165,202, 41,
334,159,262)( 8,729, 75,482,173,310, 31,550,138,208, 14,351, 78,266,
169,499, 29,361,141,640)( 9,594, 66,131,177,283, 43,226,153,100)
( 10,162, 73, 23,189, 67, 50,172,148, 46)( 12,135, 69,293,178,229, 45,
91,144,586)( 13, 54, 64,158,181)( 15,297, 70,239,180, 94, 36,577,147,
127)( 16,243, 72,104,171,580, 39,118,150,289)( 17,702, 74,671,179,
688, 47,658,152,694, 20,675, 71,698,182,661, 44,685,155,667)
( 18,108, 63,590,174,121, 42,280,151,235)( 19, 27, 81, 77,185,175, 40,
37,145,154)( 21,486, 65,320,166,553, 30,199,149,343, 24,270, 61,509,
164,364, 33,631,143,721)( 22,432, 59,455,163,526, 52,604,161,397)
( 25,621, 80,401,184,418, 32,442,136,532)( 26,405, 76,428,167,445, 28,
523,160,613)( 82,522,592,606,134,393,292,421,221,450)
( 83,360,573,633,116,717,291,475,227,315, 85,549,570,201,122,339,294,
259,223,504)( 84,198,581,336,132,258,277,502,218,369, 87,630,575,714,
129,474,281,313,220,558)( 86,441,568,525,133,609,296,394,238,423)
( 88,495,569,363,114,636,278,718,237,477, 92,306,571,552,111,204,284,
340,240,261)( 89,711,588,471,119,312,274,556,219,207, 95,333,591,255,
115,501,272,367,222,639)( 90,576,579,120,123,285,286,232,234, 99)
( 93,117,582,282,124,231,288, 97,225,585)( 96,279,583,228,126)
( 98,684,587,660,125,690,290,664,233,693,101,657,584,687,128,663,287,
691,236,666)(102,468,578,309,112,555,273,205,230,342,105,252,574,498,
110,366,276,637,224,720)(103,414,572,444,109,528,295,610,242,396)
(106,603,593,390,130,420,275,448,217,531)(107,387,589,417,113,447,271,
529,241,612)(190,527,349,618,269,385,508,407,356,438,622,521,727,615,
485,389,319,409,545,435)(191,365,330,645,251,709,507,461,362,303,625,
548,705,210,473,335,321,247,547,489)(192,203,338,348,267,250,493,488,
353,357,627,629,710,723,480,470,308,301,544,543)(193,554,327,213,257,
331,510,245,358,492,623,359,708,642,467,713,318,463,551,300)
(194,446,325,537,268,601,512,380,373,411,626,440,703,534,484,605,323,
382,562,408)(195,635,332,726,264,466,497,299,355,546,624,197,716,345,
483,254,304,490,542,354)(196,500,326,375,249,628,494,704,372,465,632,
305,706,561,462,200,311,328,564,246)(206,689,344,672,260,682,506,650,
368,681,641,656,719,696,479,659,314,679,560,651)(209,662,341,699,263,
655,503,677,371,654,638,683,722,669,476,686,317,652,557,678)
(211,419,329,456,244,520,511,596,377,384,643,413,707,453,460,524,322,
598,566,381)(214,608,350,402,265,412,491,434,352,519,646,602,728,399,
481,416,302,436,541,516)(215,392,346,429,248,439,487,515,376,600,647,
386,724,426,464,443,298,517,565,597)(379,535,430,599,458)
(383,454,406,518,457,595,539,403,616,431)(395,697,425,653,449,676,533,
673,611,701,398,670,422,680,452,649,530,700,614,674)(400,427,410,437,
433,514,538,619,620,404)(665,692,695,668) ] ],
[ 5, 59283738954127033312815673002809627259174912000000000000, 0, "4c",
[ [ 676, 1 ], [ 52, 1 ] ], 1, "Alt(27) wreath Sym(2)", [ "A", 27, 2 ],
[ ( 1,566,214,183,616, 90,439,352,323,403,534,508,468,331,703,593,646,237,
22,549,196,163,620,106,453,373,306,385,514,512,484,345,724,576,628,
217, 26,565,210,184,603, 88,433,377,322,399,535,495,466,325,728,592,
642,238, 9,547,190,188,619,102,454,360,304,379,539,511,480,346,711,
574,622,242, 25,561,211,171,601, 82,458,376,318,400,522,493,460,350,
727,588,643,225, 7,541,215,187,615,103,441,358,298,404,538,507,481,
333,709,568,647,241, 21,562,198,169,595,107,457,372,319,387,520,487,
485,349,723,589,630,223)( 2,558,192,177,613, 85,456,361,303,398,530,
494,471,335,725,583,623,234, 3,555,208,166,618, 91,438,371,314,386,
525,497,482,340,704,585,624,231, 19,544,213,172,600,101,449,359,309,
389,536,502,461,342,705,582,640,220, 24,550,195,182,611, 89,444,362,
320,394,515,504,462,339,721,571,645,226, 6,560,206,170,606, 92,455,
367,299,396,516,501,478,328,726,577,627,236, 17,548,201,173,617, 97,
434,369,300,393,532,490,483,334,708,587,638,224, 12,551,212,178,596,
99,435,366,316,382,537,496,465,344,719,575,633,227, 23,556,191,180,
597, 96,451,355,321,388,519,506,476,332,714,578,644,232)
( 4,564,199,168,614, 98,440,363,308,401,529,488,477,327,717,586,625,
240, 10,546,209,179,602, 93,443,374,313,380,531,489,474,343,706,591,
631,222, 20,557,197,174,605,104,448,353,315,381,528,505,463,348,712,
573,641,233, 8,552,200,185,610, 83,450,354,312,397,517,510,469,330,
722,584,629,228, 11,563,205,164,612, 84,447,370,301,402,523,492,479,
341,710,579,632,239, 16,542,207,165,609,100,436,375,307,384,533,503,
467,336,713,590,637,218, 18,543,204,181,598,105,442,357,317,395,521,
498,470,347,718,569,639,219, 15,559,193,186,604, 87,452,368,305,390,
524,509,475,326,720,570,636,235)( 5,567,203,175,599,108,446,364,302,
405,527,499,464,351,716,580,626,243, 14,553,194,189,608, 94,437,378,
311,391,518,513,473,337,707,594,635,229)( 13,545,216,176,607, 86,459,
365,310,383,540,500,472,329,729,581,634,221, 27,554,202,167,621, 95,
445,356,324,392,526,491,486,338,715,572,648,230)( 28,134, 52,129, 49,
117, 34,109, 53,133, 48,130, 36,115)( 29,126, 30,123, 46,112, 51,118,
33,128, 44,116, 39,119, 50,124)( 31,132, 37,114, 47,125, 35,120, 38,
131, 43,110, 45,111, 42,127)( 32,135, 41,121)( 40,113, 54,122)
( 55,269,700,426,292,657,142)( 56,261,678,420,289,652,159, 64,249,695,
422,278,660,146, 77,259,677,423,273,663,154, 58,267,685,411,290,665,
143, 66,254,698,421,272,666,138, 69,262,679,429,280,654,155, 71,251,
687,416,293,664,137, 72,246,690,424,274,672,145, 60,263,692,413,282,
659,158, 70,245,693,408,285,667,139, 78,253,681,425,287,656,147, 65,
266,691,407,288,651,150, 73,247,699,415,276,668,152, 62,255,686,428,
286,650,153, 57,258,694,409,294,658,141, 74,260,683,417,281,671,151)
( 59,270,689,418,275,675,149, 67,248,702,419,283,653,162, 68,256,680,
432,284,661,140, 81,257,688,410,297,662,148)( 61,244,701,430,291,670,
144)( 63,250,676,431,295,669,157)( 75,265,684,412,271,674,160)
( 76,252,682,406,296,673,156)( 79,264,697,414,277,649,161)
( 80,268,696,427,279,655,136),
( 1,696,583, 51,274,646,549,170,320,432,362,606,140,716,346,219,379,
695,448, 42,490,639, 63,172,266,431,659,600,518,721,103,233,190,682,
16, 48,571,645,279,187,563,413,308,621,356,714,157,230,325,678,394,
47,436,636,495,180, 77,415,254,620,653,708,535,235, 82,692,205, 34,
4,642,576,186,293,430,551,602,302,729,373,228,136,689,340, 30,382,
641,441,177,509,423, 65,604,248,728,670,222,514,694, 97, 44,193,628,
9,183,590,429,281,619,545,710,319,243,352,687,151, 41,328,624,387,
182,455,420,497,612, 59,712,265,242,649,681,529, 46, 85,638,198,169,
23,426,578,618,275,727,562,224,298,702,367, 39,139,635,333,165,401,
425,443,609,491,720, 76,226,244,701,664, 33,517,640, 90,179,212,412,
11,615,572,726,292,241,541,683,313, 54,355,633,144,176,347,408,389,
614,437,717,508,234, 55,685,259, 53,652,627,522,181,104,422,200,601,
5,723,589,240,271,700,556, 35,301,648,360,174,158,419,335,597,383,
722,454,231,487,693, 70, 37,247,647,657,168,536,424, 92,611,194,709,
22,237,568,699,286, 52,544,629,306,189,374,417,146,608,329,705,400,
236,433,690,502, 45, 58,631,252,188,671,411,524,613, 86,719,211,223)
( 2,480,580,132,272,484,553,116,299,486,364,120,137,473,337,111,380,
479,445,123,488,477, 67,118,245,485,661,114,515,478, 94,125,191,466,
13,129,569,483,283,133,542,467,310,135,353,471,148,122,326,462,391,
128,434,474,499,126, 56,469,256,134,650,465,526,127, 83,476,202,115)
( 3,399,587,456,285,511,558, 62,307,270,377,660,141,527,343, 84,395,
209,439, 15,507,585, 78,280,268,566,656,303,540,370, 93,152,203,331)
( 6,534,586,105,287,214,547, 8,318,594,375,282,160,554,332,300,405,
371,444,150,500,342, 57,388,263,458,663,492,531, 73, 91,260,215,655)
( 7, 21,588,591,294,295,565,548,305,324,378,363,147,149,338,327,381,
398,452,447,501,504, 72, 64,253,269,674,654,519,532,100, 98,206,196)
( 10,264,593,672,276,538,559, 89,314,216,358, 12,156,581,348,273,403,
560,440,312,513,369, 66,145,257,350,651,384,533,451, 96,503,207, 61)
( 14,345,570,402,290,457,555,494,315, 81,361,255,161,662,330,516,397,
101,449,204,493, 18, 75,577,267,296,673,546,521,316,108,368,201,142)
( 17,210,574, 24,291,592,564,278,322,567,359,309,162,365,336,138,392,
344,435,393,506,450, 69,496,261, 80,658,249,539,667, 87,530,208, 88)
( 19,102,584,213,277, 25,561,575,321,297,376,552,143,311,351,354,390,
155,446,339,489,396, 74,442,258,512,666, 60,523,262,107,665,195,520)
( 20,453,582,510,288, 79,550,251,323,675,357,525,154, 95,341,192,385)
( 26,669,573,537,289,106,557,197,304, 27,372,579,159,284,349,543,386,
317,459,366,498,153, 68,334,246,404,668,438,528,505, 99, 71,199,250)
( 28,679,637, 36,166,644,414,173,617,410,713,616,221,703,697,232)
( 29,463,634,117,164,482,418,119,596,464,715,130,218,460,688,124)
( 31,625,630,171,185,428,416,605,599,707,724,238,217,676,691, 43)
( 32,706,643,225,163,698,421, 38,598,626,711,184,239,406,686,610)
( 40,112,623,468,175,131,407,470,607,113,704,481,229,109,677,475)
( 49,220,622,684,178, 50,409,632,603,167,725,427,227,595,680,718)
(110,461,472,121) ] ],
[ 6, 118567477908254066625631346005619254518349824000000000000, 0, "4c",
[ [ 676, 1 ], [ 52, 1 ] ], 1, "Alt(17)^2.2^2", [ "A", 27, 2 ],
[ ( 1,129,317,400,720, 24,237,306,211,704,510,231,657,214, 29,492,177,653,
160, 35,357,175,626,162,683,370,256,632,567,701,343,253, 65,563,458,
341,523, 68,293,444,584,520,473,273,417,571,601,475, 84,406,112,614,
394, 99)( 2,507,312,670,727, 51,222,171,194,137,494,366,661,646, 54,
681,181,248,146,548,377,337,631, 81,698,451,260,524,554,296,336,577,
61,482,435,422,517,608,286, 93,568,115,479,381,423, 4,615,313,103,
703,132,236,387,207)( 3,426,301,616,718,105,217,117,209,380,504, 15,
669,322, 49,708,186,221,144,197,353,499,636,675,700, 46,249,173,545,
161,332,361, 67,644,459,692,532,257,281,552,593,331,469, 57,428,436,
611,529, 95,271,120,587,385,477)( 5,156,305,373,715,645,243,684,208,
245,497,555,674,349, 37, 60,185,437,152,521,365,283,633,594,682,478,
246,416,544,620,340, 91, 55,131,452,395,531, 14,291,309,589,709,483,
219,414,193,596,502, 96,649,133, 47,384,180)( 6,183,302,157,710,375,
229,630,216,677,505,258,659,565, 53,330,172, 59,158,440,368,526,635,
297,687,586,250,470,543,431,328,604, 70,104,433,125,533,392,288, 12,
588,304,481,705,429,220,603,205, 83,487,123,668,403, 45)
( 7,480,300,427,706,618,232, 90,190,110,506,393,666, 25, 48,303,184,
707,159,224,360,202,623,513,690,667,268, 38,546,188,329,145, 62,374,
445,638,540,689,289,255,578,547,485,327,415, 58,617,448, 98,514,122,
290,390,585)( 8,372,310,643,729,699,235,252,200,542,512,339,658, 79,
50,438,179,518,149,278,363,580,628,486,678,424,247,605,556,107,325,
118, 74,401,450, 17,534,311,292,714,591,223,468,192,407,490,609,664,
106, 28,114,182,383,153)( 9,210,299,508,717,672,241, 36,195,164,491,
150,656,376, 40,627,189,680,154,251,362,553,647,351,685, 73,266,443,
557,539,338,280, 66,590,439,476,516,419,274,606,583, 88,460,111,425,
382,612, 16,102,298,130,722,402,234)( 10, 75,320,454,719,537,230,279,
201,569,493,474,651,430, 31,600,178, 86,136,116,371,391,639, 27,696,
316,265,713,564,242,333,199, 56,509,447,665,538, 41,276,174,572,142,
467,354,418,625,621,691,100,244,119,560,404,342)( 11,561,323,346,712,
78,239,441,206,515,500,285,660,592, 34,465,165,410,139,602,367, 94,
622,135,695,397,261)( 13,642,324,697,721,267,227,549,215,326,496, 69,
671,457, 44,519,176,275,147,575,358,472,624,432,679,613,259, 92,541,
134,344,388, 72, 23,453,314,535,716,294,228,576,196,461,489,420,652,
619, 43, 87,163,113,155,386,369)( 18, 21,318,319,724,726,240,225,198,
191,488,501,663,673, 52, 33,168,167,140,143,359,364,634,648,702,694,
262,254,551,566,350,334, 64, 77,455,449,530,527,284,282,579,574,466,
462,408,409,598,610, 97, 82,109,128,398,396)( 19,264,308,562,728,348,
226, 63,212,434,503,528,662,295, 39,573,169,464,138,413,355,607,637,
108,676,127,263,389,558, 26,345,307, 76,725,456,233,522,203,272,498,
582,655,484, 30,411,166,599,151, 89,352,121,641,405,693)
( 20,399,315, 22,723,321,238,711,213,218,495,204,650,511, 42,654,187,
32,141,170,356,148,629,378,688,640,270,686,559,269,335,550, 80,347,
442, 71,536,446,287,525,581,277,471,570,412,463,597,421, 85,595,124,
101,379,126), ( 1,129,317,395,531, 39,573,169,464,138,416,544,620,
340, 91, 56,509,451,265,715,645,224,360,204,649,133, 20,399,315, 44,
519,174,572,142,470,543,431,328,604, 70,104,434,508,721,267,229,630,
197,352,123,668,403, 18, 48,303,179,518,147,578,547,485,327,415, 58,
617,448,103,704,510,235,252,202,622,116,371,393,666, 52, 6,183,302,
152,524,552,593,331,469, 57,428,436,616,718,105,218,495,208,244,121,
641,386,369, 42,654,187, 5,156,308,557,539,336,577, 61,482,435,427,
706,618,232, 90,191,487,127,263,391,639, 35,357,177,653,160, 11,561,
323,341,523, 66,590,439,481,705,429,220,603,205, 82,110,506,397,261,
40,627,170,356,150,659,565, 26,345,307, 71,536,444,589,709,483,219,
414,193,595,124,101,380,504, 46,249,175,626,143,362,555,674,349, 10,
75,320,449,535,714,591,223,468,192,406,112,614,394, 99, 29,492,181,
248,148,632,548,377,339,658, 79, 23,453,319,719,537,228,576,196,460,
111,425,382,612, 43, 87,164,491,154,254,553,647,332,361, 69,671,457,
22,723,321,233,522,201,568,115,479,381,423, 31,600,178, 86,137,497,
559,269,337,631, 62,374,447,670,727, 24,237,306,206,514,120,587,385,
477, 30,411,166,599,151, 92,542,512,343,253, 67,644,440,373,717,672,
241, 9,210,298,125,533,390,585, 34,465,165,410,139,605,556,107,326,
496, 73,266,445,643,710,375,231,657,214)( 2,507,316,260,526,633,575,
358,474,651,430, 4,615,313, 98,515,498,586,250,472,624,413,355,609,
664,106)( 3,426,301,611,529, 93,569,493,478,246,418,625,602,367, 96,
650,511, 19,264,310,638,521,363,582,655,484)( 7,480,300,422,517,606,
583, 88,461,489,424,247,607,637, 89,353,501,667,268, 13,642,305,368,
528,660,592)( 8,372,312,665,538, 12,588,304,476,516,417,571,601,475,
84,407,490,613,259, 94,623,494,370,258,661,646)( 14,291,324,692,527,
282,594,682,473,273,432,679,608,286,108,677,500,289,270,688,635,278,
378,690,662,295, 27,696,311,287,540,687,581,277,486,678,419,274,621,
691, 95,272,513,694,257,283,648,683,365,285,675,700)( 15,669,322, 17,
534,309,584,520,471,570,412,463,597,421, 85,596,502,100,245,499,640,
251,364,636,656,376)( 16,102,299,503,532,255,580,628,467,354,420,652,
619)( 21,318,314,530,525,579,574,466,462,408,409,598,610, 97, 83,488,
505,262,256,634,629,359,366,663,673, 25)( 28,114,182,383,153, 38,546,
188,329,145, 65,563,458,346,712, 78,239,441,211,703,132,236,387,207)
( 32,141,173,545,161,335,550, 80,347,442, 76,725,456,238,711,213,217,
117,209,379,126, 47,384,180)( 33,168,167,140,146,551,566,350,334, 64,
77,455,454,724,726,240,225,198,190,109,128,398,396, 45)
( 36,195,163,113,155,389,558, 53,330,172, 59,158,443,562,728,348,226,
63,212,433,130,722,402,234)( 37, 60,185,437,157,713,564,242,333,199,
55,131,452,400,720, 51,222,171,194,136,119,560,404,342)
( 41,276,189,680,149,281,567,701,338,280, 81,698,446,292,729,699,230,
279,216,676,122,290,405,693)( 49,708,186,221,144,200,541,134,344,388,
72, 50,438,184,707,159,227,549,215,325,118, 74,401,450)
( 54,681,176,275,162,686,554,296,351,685, 68,293,459,697,716,294,243,
684,203,271,135,695,392,288)(284,297,702,689) ] ],
[ 7, 118567477908254066625631346005619254518349824000000000000, 0, "4c",
[ [ 676, 1 ], [ 52, 1 ] ], 1, "Alt(27)^2.4", [ "A", 27, 2 ],
[ ( 1,570,276,344,198,157,485,692,421,499,266,223,633,135,551, 64,397,176,
672,514,569,357,328, 90,150, 26,678,286,506,212,238,471,125,416, 67,
262,169,645,540,542,361,382, 95,663)( 2,354,274,101,204, 22,462,287,
425,202,265,466,638,432,553,253,385,635,675,541,577,384,338,657,136,
593,681,340,495,158,242,687,124,497, 77,235,174,132,524, 56,370,166,
105,528)( 3,273,290,209,211,481,476,422,418,256,250,628,648,567,550,
388,392,662,649,568,573,330,333,144,161,701,691,502,509,239,228,120,
119, 65, 73,181,186,537,515,353,355, 85, 96, 15)( 4, 84,285, 20,192,
292,479,206,427,472,260,412,634,270,547,631,405,554,658,379,581,654,
325,576,141,350,684,151,512,698,232,498,131,227, 66,127,173, 78,532,
164,375,517, 83,366)( 5,435,291,722,197,319,477,611,430, 40,248,439,
642,729,548,307,396,608,673, 28,572,438,345,711,143,323,693,610,511,
50,221,444,129,713, 62,316,180,618,538, 29,356,436,102,717, 8,300,
288,614,214, 49,464,449,426,715,251,304,639,621,565, 37,383,446,669,
703,575,303,342,603,160, 53,680,448,507,725,224,309,126,605, 79, 46,
167,456,534,704,359,301, 99,609, 25, 30,275,452,210,724,467,314,423,
607,268, 34,626,459,561,712,386,311,666,595,592, 33,329,441,156,728,
683,313,504,617,241, 39,113,443, 75,721,170,321,531,596,376, 31, 86,
447, 21,705,278,317,207,616,484, 44,410,445,264,709,629,324,558,604,
403, 41,653,433,588,708,332,306,153,620,700, 43,491,455,237,714,116,
308, 72,613,187, 51,518,434,372,706, 89,312, 18,597,295, 47,194,454,
480,719,413,310,261,601,646, 54,545,442,399,716,656,298,585,600,349,
36,140,458,696,718,494,320,234,606,133, 38, 59,451,183,726,521,299,
369,598,106, 42)( 6,327,279,155,215,697,475,503,428,229,255,115,632,
81,559,172,402,527,650,352,571, 87,339, 9,138,296,695,205,508,482,
233,417,121,254, 61,640,189,564,523,380,365,652, 82,582)
( 7,624,297,560,199,400,473,665,406,580,249,331,630,162,566,685,394,
500,671,217,579,114,335, 63,154,188,699,529,488,374,220, 93,123, 11,
57,289,182,213,535,461,368,409, 94,258)( 10,381,284,668,190,589,465,
341,414,148,269,682,637,513,563,226,390,122,659, 55,586,168,348,522,
137,377,679, 97,501, 23,219,282,128,200, 76,478,179,429,526,245,358,
625,108,555)( 12,111,281, 74,208,184,483,530,407,364,247, 88,636, 27,
543,280,398,203,670,460,584,411,337,252,142,647,702,556,496,401,230,
660,109,578, 60,343,171,159,539,677,367,490,104,231)( 13,246,277,641,
216,562,469,395,419,661,244,574,627,351,549,145,404,689,664,487,590,
222,336,117,146, 80,694,178,510,536,218,363,112, 92, 69, 19,165,294,
533,191,373,463, 98,420)( 14,651,271,587,195,346,468,152,431,688,259,
493,644,243,552,118,389, 68,667,163,591,519,326,360,139,107,690, 16,
489,293,236,201,130,470, 71,424,175,267,520,623,378,544, 91,393)
( 17,408,283,263,196,643,486,557,415,391,257,655,622,594,546,334,387,
149,674,676,583,492,347,225,147,134,686, 70,505,185,240,525,110,362,
58,100,177, 24,516,272,371,193,103,474)( 32,437,453,723,710,305,315,
612,619, 52)( 35,302,450,615,727)( 45,599,457, 48,707,440,318,720,
602,322), ( 1,570,296,690, 16,489,293,231, 10,381,289,177, 24,516,
272,366, 22,462,287,420, 12,111,279,150, 14,651,271,582, 26,678,286,
501, 23,219,280,393, 19,165,294,528, 2,354,292,474, 17,408,282,123,
9,138,284,663)( 3,273,285, 15)( 4, 84,281, 69, 20,192,297,555,
8,300,288,609, 25, 30,274, 96, 11, 57,290,204, 27,543,278,312, 18,
597,295, 42)( 5,435,291,717, 6,327,277,636, 13,246,275,447, 21,705,
276,339, 7,624,283,258)( 28,571,107,686, 70,506,212,243,550,386,316,
180,618,538, 29,355,103,470, 71,425,201,135,549,143,311,666,595,592,
53,679, 97,497, 77,236,199,405,559,170,321,531,596,376, 49,463, 98,
416, 66,128,198,162,554,656,298,585,620,700, 43,490,104,227, 64,398,
208,189,564,521,299,369,616,484, 44,409, 93,119, 63,155,203,675,541,
575,323,693,610,511, 50,220, 91,389, 73,182,213,540,542,359,319,477,
611,430, 39,112, 90,146, 68,668,190,594,566,683,313,504,617,241, 37,
382,100,173, 78,533,191,378,562,467,314,423,606,133, 36,139, 95,659,
55,587,215,702,556,494,320,234,604,403, 46,166,105,524, 56,371,211,
486,557,413,309,126,603,160, 41,652, 82,578, 80,695,205,513,563,224,
307,396,613,187, 51,517, 83,362, 76,479,206,432,552,116,306,153,608,
673)( 31, 85, 92, 65, 74,209,216,567,548,305,315,612,619, 52)
( 32,436,102,713, 60,344,196,648,553,251,302,450,615,727, 33,328, 88,
632, 67,263,194,459,561,710,303,342,601,646, 40,247, 86,443, 75,722,
195,351,547,629,310,261,599,457, 48,706, 87,335, 61,641,202,270,545,
440,318,720,600,349, 34,625, 94,254, 59,452,210,729,546,332,304,639,
607,268)( 35,301, 99,605, 79, 47,193,108,551, 62,317,207,621,565)
( 38, 58,101,200, 81,560,197,324,558,602,322, 45,598,106)
( 54,544, 89,308, 72,614,214)(109,576,161,689,664,487,590,242,685,394,
505,185,240,523,380,370,184,483,530,407,363,130,468,152,419,660)
(110,360,157,473,665,406,579,134,684,151,500,671,217,577,404,694,178,
510,536,218,361,400,478,179,429,525)(113,441,156,716,654,325,574,647,
688,259,491,455,237,712,384,343,169,645,526,245,356,454,480,719,411,
336,115,630,148,257,653,433,588,728,681,340,493,644,229,253,383,451,
183,726,519,326,358,643,472,260,410,444,129,711,141,338,655,622,580,
269,680,448,507,725,222,334,385,640,175,267,518,434,372,724,465,341,
412,633,121,252,140,446,669,703,573,350,682,637,499,266,221,442,399,
721,168,348,520,623,364,265,464,449,426,714,114,333,142,635,661,244,
572,458,696,718,492,347,223,631,391,262,167,456,534,704,357,346,466,
638,418,255)(117,144,149,662,649,568,593,701,691,502,509,239,226,388,
397,181,186,537,515,353,373,481,476,422,417,120)(118,387,154,176,672,
514,569,377,697,475,503,428,228)(122,657,136,581,674,676,583,512,698,
232,496,401,235,172,402,532,164,375,535,461,368,427,471,125,414,147)
(124,495,158,230,658,379,586,188,699,529,488,374,238,469,395,424,174,
132,522,137,365,670,460,584,431,687)(127,171,159,527,650,352,589,485,
692,421,498,131,225,145,392,667,163,591,539,677,367,508,482,233,415,
390)(248,437,453,723,708,330,331,628,634,256)(249,329,439,642,715)
(250,626,445,264,707,438,345,709,627,337) ] ],
[ 8, 237134955816508133251262692011238509036699648000000000000, 0, "4c",
[ [ 676, 1 ], [ 52, 1 ] ], 1, "Sym(27) wreath Sym(2)", [ "A", 27, 2 ],
[ ( 1,700,605, 36,352,565,524,711,325,673,443,279,190,187,632, 90,460,403,
497,252,136, 25,686,603, 28,376,551,522,703,349,659,441,271,214,173,
630, 82,484,389,495,244,160, 11,684,595, 52,362,549,514,727,335,657,
433,295,200,171,622,106,470,387,487,268,146, 9,676,619, 38,360,541,
538,713,333,649,457,281,198,163,646, 92,468,379,511,254,144)
( 2,698,615, 39,366,560,532,704,347,669,444,285,209,181,623,104,480,
390,501,263,154)( 3,682,610, 45,359,550,535,705,331,664,450,278,199,
184,624, 88,475,396,494,253,157)( 4,701,621, 32,375,554,519,706,350,
675,437,294,203,168,625,107,486,383,510,257,141)( 5,699,608, 33,355,
566,540,707,348,662,438,274,215,189,626,105,473,384,490,269,162)
( 6,679,620, 54,356,564,527,708,328,674,459,275,213,176,627, 85,485,
405,491,267,149)( 7,691,612, 35,361,562,516,709,340,666,440,280,211,
165,628, 97,477,386,496,265,138)( 8,685,616, 30,358,556,531,710,334,
670,435,277,205,180,629, 91,481,381,493,259,153)( 10,697,597, 34,367,
558,521,712,346,651,439,286,207,170,631,103,462,385,502,261,143)
( 12,690,614, 46,353,563,534,714,339,668,451,272,212,183,633, 96,479,
397,488,266,156)( 13,688,607, 40,364,553,526,715,337,661,445,283,202,
175,634, 94,472,391,499,256,148)( 14,681,598, 53,378,545,537,716,330,
652,458,297,194,186,635, 87,463,404,513,248,159)( 15,695,613, 29,374,
561,525,717,344,667,434,293,210,174,636,101,478,380,509,264,147)
( 16,693,602, 37,373,543,520,718,342,656,442,292,192,169,637, 99,467,
388,508,246,142)( 17,692,611, 44,368,557,530,719,341,665,449,287,206,
179,638, 98,476,395,503,260,152)( 18,683,604, 49,354,547,529,720,332,
658,454,273,196,178,639, 89,469,400,489,250,151)( 19,677,617, 48,363,
555,533,721,326,671,453,282,204,182,640, 83,482,399,498,258,155)
( 20,694,596, 50,372,552,528,722,343,650,455,291,201,177,641,100,461,
401,507,255,150)( 21,687,609, 47,370,542,536,723,336,663,452,289,191,
185,642, 93,474,398,505,245,158)( 22,678,601, 43,369,548,523,724,327,
655,448,288,197,172,643, 84,466,394,504,251,145)( 23,696,606, 42,371,
559,515,725,345,660,447,290,208,164,644,102,471,393,506,262,137)
( 24,689,600, 31,377,567,518,726,338,654,436,296,216,167,645, 95,465,
382,512,270,140)( 26,702,599, 51,365,546,517,728,351,653,456,284,195,
166,647,108,464,402,500,249,139)( 27,680,618, 41,357,544,539,729,329,
672,446,276,193,188,648, 86,483,392,492,247,161)( 55, 79, 65, 63)
( 56, 77, 75, 66, 69, 74, 73)( 57, 61, 70, 72, 62, 64, 76)
( 58, 80, 81, 59, 78, 68, 60)(109,430,227,117,406,241,119,414,217,133,
416,225)(110,428,237,120,420,236,127,407,239,129,417,231,128,424,218,
131,426,228,123,425,235)(111,412,232,126,413,226,130,408,223,124,423,
224,118,427,219,115,421,234,116,415,238)(112,431,243,113,429,230,114,
409,242,135,410,240,122,411,220,134,432,221,132,419,222)(121,418,229)
(125,422,233)(298,322,308,306)(299,320,318,309,312,317,316)
(300,304,313,315,305,307,319)(301,323,324,302,321,311,303)
(568,592,578,576)(569,590,588,579,582,587,586)(570,574,583,585,575,
577,589)(571,593,594,572,591,581,573),
( 1,674,719,445,335,241,274,683,266,546,101,504,199,574,427, 63, 3,
188,726,364,345,322,282,386,262, 33, 95,153,190,655,422,441, 11,242,
706,688,347,565,290,494,253,573,103, 72,192,169,429,360, 21,323,714,
391,343, 52,284,143,244,654, 98,450,200,223,409,684, 23,566,722,499,
334,592,292, 62,246,168,105,369,210,304,417,387, 19, 53,716,148,325,
673,287,440,254,222, 85,693,212,547,425,495, 10,593,724, 67,327,187,
294,359,264,303, 93,396,208, 34,419,144)( 2,620,704,607,326,619,272,
602,245,600, 83,612,191,601,407,603)( 4,701,725,553,344,511,280,575,
265, 60, 84,180,213,358,426,306, 12,404,721, 40,338,160,271,656,260,
438, 92,234,193,682,428,549, 20,512,712,580,346, 79,273,170,267,357,
102,315,201,385,424, 36, 14,161,703,661,341,457,281,224,247,681,104,
558,209,493,415,576, 22, 80,705,175,348,376,291,305,255,384,100, 45,
203,142,406,657, 17,458,713,229,328,700,293,548,263,492, 91,585,211,
61,408,171, 24,377,723,310,336,403,289, 35,257,141, 82,666,206,439,
416,225)( 5,647,729,121,340,484,285,521,248,627,108,126,205,466,420,
522)( 6,107,720,202,331,430,279, 8,269,708, 94,342,214,277,413,252)
( 7,431,711, 13,350,727,283,332,268,276, 89,261,195, 88,423,198)
( 9, 26,728,715,337,349,295,278,251,249, 87, 99,207,196,412,414)
( 15,539,707,634,351,133,286,467,258,519, 86,639,216,115,421,468)
( 16,485,717,526,329,646,297,116,259,465, 96,531,194,628,432,117)
( 18,215,709,418,333, 25,296,710,256,330,106,288,197,250,411, 90)
( 27,134,718,472,339,538,275,629,270,114, 97,477,204,520,410,630)
( 28,662,152,433,659,233,436,686,239,544,695,509,550,587,508, 64,570,
184, 78,354,183,321,363,399,316, 39,392,154)( 29,608,137,595,650,611,
434,605,218,598,677,617,542,614,488,604,569,616, 56,597,164,618,353,
615,299,606,380,613)( 30,176,159,352,669,314,444,389,235, 31,689,158,
541,668,503,442,578,238, 58,678,185,564,371,507,307,579,400, 73)
( 32,635,162,109,664,476,447,524,221,625,702,131,556,479,501,523,572,
643, 81,111,178,483,366,534,302,633,405,127, 43,473,150,514,653,638,
459,119,232,463,690,536,545,641,513,118,583,481, 69,516,167,645,378,
129,313,471,393,532)( 37,581,157, 55,651,179,456,362,237,301,687,401,
559, 47,500,145,568,670, 71,435,173,240,355,696,320,552,398,505)
( 38,230,139,676,671,557,452,497,226,571,697, 77,543,182,510,361,588,
319, 66,381,181, 51,365,156,298,660,395,451)( 41,149,136,649,665,449,
443,227,220,679,698,563,560,506,496,577,589, 76, 57,165,186,375,372,
318,309,390,397, 46)( 42,527,140,622,675,125,448,470,231,517,680,644,
567,128,502,469,582,535, 59,624,189,132,367,480,312,525,383,640, 54,
122,151,460,663,530,437,632,243,112,691,482,555,533,491,631,594,130,
70,462,177,537,356,642,324,120,394,478)( 44,446,146,217,652,692,455,
551,236,490,685,590,562, 74,489,172,591,373, 75,300,174,402,370, 48,
311,147,379,667)( 49, 68,138,163,672,368,453,308,228,382,694, 50,554,
155,487,658,584,454, 65,219,166,699,374,561,317,498,388,586)
(110,610,461,609,515,599,623,621)(113,637,486,123,529,464,636,540)
(124,475,474,528,518,626,648,135) ] ],
[ 9, 17919272189952000, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"Alt(9) wreath Alt(3)", [ "A", 9, 3 ],
[ ( 1,553,581,377,163, 67,500,620,325,229, 14,539,568,391,176, 53,487,634,
338,215)( 2,552,578,372,164, 66,497,615,326,228, 11,534,569,390,173,
48,488,633,335,210)( 3,551,579,371,165, 65,498,614,327,227, 12,533,
570,389,174, 47,489,632,336,209)( 4,554,584,370,166, 68,503,613,328,
230, 17,532,571,392,179, 46,490,635,341,208)( 5,557,577,373,167, 71,
496,616,329,233, 10,535,572,395,172, 49,491,638,334,211)
( 6,556,585,375,169, 72,501,619,333,231, 16,540,573,394,180, 51,493,
639,339,214, 9,555,583,378,168, 70,504,618,331,234, 15,538,576,393,
178, 54,492,637,342,213, 7,558,582,376,171, 69,502,621,330,232, 18,
537,574,396,177, 52,495,636,340,216)( 8,550,580,374,170, 64,499,617,
332,226, 13,536,575,388,175, 50,494,631,337,212)( 19,526,599,386,181,
40,518,629,343,202, 32,548,586,364,194, 62,505,607,356,224)
( 20,525,596,381,182, 39,515,624,344,201, 29,543,587,363,191, 57,506,
606,353,219)( 21,524,597,380,183, 38,516,623,345,200, 30,542,588,362,
192, 56,507,605,354,218)( 22,527,602,379,184, 41,521,622,346,203, 35,
541,589,365,197, 55,508,608,359,217)( 23,530,595,382,185, 44,514,625,
347,206, 28,544,590,368,190, 58,509,611,352,220)( 24,529,603,384,187,
45,519,628,351,204, 34,549,591,367,198, 60,511,612,357,223, 27,528,
601,387,186, 43,522,627,349,207, 33,547,594,366,196, 63,510,610,360,
222, 25,531,600,385,189, 42,520,630,348,205, 36,546,592,369,195, 61,
513,609,358,225)( 26,523,598,383,188, 37,517,626,350,199, 31,545,593,
361,193, 59,512,604,355,221)( 73,562,644,404,235, 76,563,647,397,238,
77,566,640,400,239, 80,559,643,401,242)( 74,561,641,399,236, 75,560,
642,398,237)( 78,565,648,402,241, 81,564,646,405,240, 79,567,645,403,
243)( 82,310,419,134,244,472, 95,296,406,148,257,458)
( 83,309,416,129,245,471, 92,291,407,147,254,453)( 84,308,417,128,246,
470, 93,290,408,146,255,452)( 85,311,422,127,247,473, 98,289,409,149,
260,451)( 86,314,415,130,248,476, 91,292,410,152,253,454)
( 87,313,423,132,250,477, 96,295,414,150,259,459)( 88,315,420,133,252,
474, 97,297,411,151,261,456)( 89,307,418,131,251,469, 94,293,413,145,
256,455)( 90,312,421,135,249,475, 99,294,412,153,258,457)
(100,283,437,143,262,445,113,305,424,121,275,467)(101,282,434,138,263,
444,110,300,425,120,272,462)(102,281,435,137,264,443,111,299,426,119,
273,461)(103,284,440,136,265,446,116,298,427,122,278,460)
(104,287,433,139,266,449,109,301,428,125,271,463)(105,286,441,141,268,
450,114,304,432,123,277,468)(106,288,438,142,270,447,115,306,429,124,
279,465)(107,280,436,140,269,442,112,302,431,118,274,464)
(108,285,439,144,267,448,117,303,430,126,276,466)(154,319,482,161,316,
481,158,323,478,157,320,485)(155,318,479,156,317,480)(159,322,486)
(160,324,483)(162,321,484)(649,715,662,701)(650,714,659,696)
(651,713,660,695)(652,716,665,694)(653,719,658,697)(654,718,666,699,
655,720,663,700,657,717,664,702)(656,712,661,698)(667,688,680,710)
(668,687,677,705)(669,686,678,704)(670,689,683,703)(671,692,676,706)
(672,691,684,708,673,693,681,709,675,690,682,711)(674,685,679,707)
(721,724,725,728)(722,723)(726,727,729),
( 1,413,479,668,590,610,556,150,139,193,352,327,417,254,270,621, 52,
71,161,724,680,365,525,501,303,225,208)( 2,431,641,673,635,124,553,
114,382,192,334,246,423,290, 27,620, 79,719,158,688,518,366,543,177,
298,171,451)( 3,422,317,675,617, 43,557,159,706,194,361,489,420,299,
189,613, 7,476,155,670,599,367,552, 96,301,198,370)( 4,440,398,669,
581,286,558,132, 58,197,397,651,419,281,513,618, 61,233,154,652,437,
362,507,582,304,234,127)( 5,449,560,672,626,205,550, 87,463,191,343,
570,421,308,108,616, 34,395,156,661,275,369,534, 15,305,243,694)
( 6,467,236,667,572,448,551,105,625,196,388, 84,418,272,351,615, 16,
314,162,697, 32,368,561,663,302,207,532)( 8,485,722,671,608,529,555,
141,220,190,325,408,416,263,594,619, 70,152,157,679,356,363,498,258,
306,216, 46)( 9,458, 74,674,644,691,554,123,544,195,379,165,415,245,
432,614, 25,638,160,715,113,364,516,339,300,180,289)( 10,251,486,695,
23,611,565,717,140,202,514,330,462,173,262,576,457, 65,107,643,682,
392,120,499,276,387,210)( 11,269,648,700, 68,125,562,681,383,201,496,
249,468,209, 19,575,484,713,104,607,520,393,138,175,271,333,453)
( 12,260,324,702, 50, 44,566,726,707,203,523,492,465,218,181,568,412,
470,101,589,601,394,147, 94,274,360,372)( 13,278,405,696, 14,287,567,
699, 59,206,559,654,464,200,505,573,466,227,100,571,439,389,102,580,
277,396,129)( 17,323,729,698, 41,530,564,708,221,199,487,411,461,182,
586,574,475,146,103,598,358,390, 93,256,279,378, 48)( 18,296, 81,701,
77,692,563,690,545,204,541,168,460,164,424,569,430,632,106,634,115,
391,111,337,273,342,291)( 20,593,646,718,149,121,517,357,381,174,253,
252,459, 47, 26,647,727,716,122,526,519,384,219,172,244,414,452)
( 21,584,322,720,131, 40,521,402,705,176,280,495,456, 56,188,640,655,
473,119,508,600,385,228, 91,247,441,371)( 22,602,403,714, 95,283,522,
375, 57,179,316,657,455, 38,512,645,709,230,118,490,438,380,183,577,
250,477,128)( 24,629,241,712, 86,445,515,348,624,178,307, 90,454, 29,
350,642,664,311,126,535, 33,386,237,658,248,450,533)( 28,332,480,659,
266,612,538, 69,143,238,676,329,444,497,267,630,214, 64, 89,481,677,
347,606,502,312,144,211)( 30,341,318,666,293, 45,539, 78,710,239,685,
491,447,542,186,622,169,469, 83,427,596,349,633, 97,310,117,373)
( 31,359,399,660,257,288,540, 51, 62,242,721,653,446,524,510,627,223,
226, 82,409,434,344,588,583,313,153,130)( 35,404,723,662,284,531,537,
60,224,235,649,410,443,506,591,628,232,145, 85,436,353,345,579,259,
315,135, 49)( 36,377, 75,665,320,693,536, 42,548,240,703,167,442,488,
429,623,187,631, 88,472,110,346,597,340,309, 99,292)( 37,494,483,704,
185,604,493,474,137,184,595,331,471, 92,265,603,376, 66, 98,319,684,
374, 39,503,321,711,212)( 53, 80,728,725,689,527,528,546,222,217,163,
406,407,425,587,592,637,151,148,112,355,354,336,255,261,297, 54)
( 55,170,478,650,428,605,511,636,142,229,109,328,435,335,264,585,295,
72,134, 76,683,401,687,500,285,549,213)( 63,215, 73,656,482,686,509,
609,547,231,136,166,433,326,426,578,268,639,133, 67,116,400,678,338,
282,504,294) ] ],
[ 10, 35838544379904000, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"Alt(9)^3.6", [ "A", 9, 3 ],
[ ( 1,671,251,659,359,499,385, 67,464)( 2,680,494,664,395,418,379, 22,302)
( 3,698,575,663,404, 94,381, 49,626, 6,725, 89,660,377,580,384, 76,
140)( 4,707, 8,662,332,661,386, 13,383)( 5,653,656,665,341,337,
382, 58, 59)( 7,716,413,658,350,256,380, 31,545)( 9,689,170,666,
368,175,387, 40,221)( 10,347,247,704, 35,500,331,715,467)
( 11,356,490,709, 71,419,325,670,305)( 12,374,571,708, 80, 95,327,697,
629, 15,401, 85,705, 53,581,330,724,143)( 14,329,652,710, 17,338,328,
706, 62)( 16,392,409,703, 26,257,326,679,548)( 18,365,166,711, 44,
176,333,688,224)( 19,266,245,677,521,502,394,472,460)
( 20,275,488,682,557,421,388,427,298)( 21,293,569,681,566, 97,390,454,
622, 24,320, 83,678,539,583,393,481,136)( 23,248,650,683,503,340,391,
463, 55)( 25,311,407,676,512,259,389,436,541)( 27,284,164,684,530,
178,396,445,217)( 28,509,250,713,440,496,349,310,461)
( 29,518,493,718,476,415,343,265,299)( 30,536,574,717,485, 91,345,292,
623, 33,563, 88,714,458,577,348,319,137)( 32,491,655,719,422,334,346,
301, 56)( 34,554,412,712,431,253,344,274,542)( 36,527,169,720,449,
172,351,283,218)( 37,185,252,686,197,504,367,229,468)
( 38,194,495,691,233,423,361,184,306)( 39,212,576,690,242, 99,363,211,
630, 42,239, 90,687,215,585,366,238,144)( 41,167,657,692,179,342,364,
220, 63)( 43,230,414,685,188,261,362,193,549)( 45,203,171,693,206,
180,369,202,225)( 46,590,249,722,116,498,376,634,465, 73,104,246,695,
602,501,403,148,462)( 47,599,492,727,152,417,370,589,303, 74,113,489,
700,638,420,397,103,300)( 48,617,573,726,161, 93,372,616,627, 78,158,
84,696,620,582,402,157,138)( 50,572,654,728, 98,336,373,625, 60, 77,
86,651,701,584,339,400,139, 57)( 51,644, 87,723,134,579,375,643,141,
75,131,570,699,647, 96,399,130,624)( 52,635,411,721,107,255,371,598,
546, 79,149,408,694,593,258,398,112,543)( 54,608,168,729,125,174,378,
607,222, 81,122,165,702,611,177,405,121,219)( 61, 68,410,649,674,260,
335,355,544)( 64,428,244,668,278,497,358,553,466)( 65,437,487,673,
314,416,352,508,304)( 66,455,568,672,323, 92,354,535,628, 69,482, 82,
669,296,578,357,562,142)( 70,473,406,667,269,254,353,517,547)
( 72,446,163,675,287,173,360,526,223)(100,264,290,596,519,565,151,471,
451,586,267,317,110,516,538,637,474,478)(101,273,533,601,555,484,145,
426,289,587,276,560,115,552,457,631,429,316)(102,291,614,600,564,160,
147,453,613,591,321,155,111,534,619,636,483,154)(105,318,128,597,537,
646,150,480,127,588,294,641,114,561,133,633,456,640)(106,309,452,595,
510,322,146,435,532,592,312,479,109,507,295,632,438,559)
(108,282,209,603,528,241,153,444,208,594,285,236,117,525,214,639,447,
235)(118,183,297,605,195,567,124,228,459,604,186,324,119,192,540,610,
231,486)(120,210,621,609,240,162)(123,237,135,606,213,648)
(126,201,216,612,204,243)(129,615,618,645,159,156)(132,642)
(181,270,281,191,522,529,232,477,442)(182,279,524,196,558,448,226,432,
280)(187,315,443,190,513,286,227,441,523)(189,288,200,198,531,205,
234,450,199)(262,263,272,515,520,556,475,469,424)(268,308,434,514,
511,313,470,433,505)(271,506,277,551,439,550,430,307,425),
( 1,431,362,234,320,655,433, 20,395,288,241,680)( 2,476,281,232,275,
7,440, 38,233,284,169,437)( 3,458,524,229,257, 88,435, 47,557,283,
178,113)( 4,422,119,228,293,493,436, 11,152,282,214,518)
( 5,413,443,227,311,250,439, 29, 71,287,205,194)( 6,467,605,231,302,
574,438, 56,638,285,223,599)( 8,449,200,230,248,412,434, 65,314,286,
196, 32)( 9,485,686,226,266,331,441, 74,719,280,187,356)
( 10,107,363,216,563,652,415,101,390,297,565,679)( 12,134,525,211,500,
85,417,128,552,292,502,112)( 13, 98,120,210,536,490,418, 92,147,291,
538,517)( 14, 89,444,209,554,247,421,110, 66,296,529,193)
( 15,143,606,213,545,571,420,137,633,294,547,598)( 16,116, 39,215,527,
166,419, 83,471,290,556,274)( 17,125,201,212,491,409,416,146,309,295,
520, 31)( 18,161,687,208,509,328,423,155,714,289,511,355)
( 19,350,369,243,725,649,424,344,396,324,727,676)( 21,377,531,238,662,
82,426,371,558,319,664,109)( 22,341,126,237,698,487,427,335,153,318,
700,514)( 23,332,450,236,716,244,430,353, 72,323,691,190)
( 24,386,612,240,707,568,429,380,639,321,709,595)( 25,359, 45,242,689,
163,428,326,477,317,718,271)( 26,368,207,239,653,406,425,389,315,322,
682, 28)( 27,404,693,235,671,325,432,398,720,316,673,352)
( 30, 53,530,202,176, 86,408,452,551,310,259,115)( 33, 62,611,204,221,
572,411,461,632,312,304,601)( 34, 35, 44,206,203,167,410,407,470,308,
313,277)( 36, 80,692,199,185,329,414,479,713,307,268,358)
( 37,188,365,171,482,650,469,263,394,279, 79,683)( 40,179,122,165,455,
488,472,254,151,273, 52,521)( 41,170,446,164,473,245,475,272, 70,278,
43,197)( 42,224,608,168,464,569,474,299,637,276, 61,602)
( 46,512,364,180,158,651,451,506,391,261,160,678)( 48,539,526,175, 95,
84,453,533,553,256, 97,111)( 49,503,121,174,131,489,454,497,148,255,
133,516)( 50,494,445,173,149,246,457,515, 67,260,124,192)
( 51,548,607,177,140,570,456,542,634,258,142,597)( 54,566,688,172,104,
327,459,560,715,253,106,354)( 55,593,366,225,644,654,460,587,393,306,
646,681)( 57,620,528,220,581, 87,462,614,555,301,583,114)
( 58,584,123,219,617,492,463,578,150,300,619,519)( 59,575,447,218,635,
249,466,596, 69,305,610,195)( 60,629,609,222,626,573,465,623,636,303,
628,600)( 63,647,690,217,590,330,468,641,717,298,592,357)
( 64,269,367,198, 77,656,442,182,392,252,484,677)( 68,251,448,191)
( 73,674,361,189,401,657,478,668,388,270,403,684)( 75,701,523,184,338,
90,480,695,550,265,340,117)( 76,665,118,183,374,495,481,659,145,264,
376,522)( 78,710,604,186,383,576,483,704,631,267,385,603)
( 81,728,685,181,347,333,486,722,712,262,349,360)( 91,102,372,540,562,
661)( 93,129,534,535,499, 94)( 96,138,615,537,544,580)
( 99,156,696,532,508,337)(100,345,378,567,724,658)(103,336,135,561,
697,496)(105,381,621,564,706,577)(108,399,702,559,670,334)
(127,507,373,504,157,660)(130,498)(132,543,616,501,139,579)
(136,588,375,549,643,663)(141,624,618,546,625,582)(144,642,699,541,
589,339)(154,669,370,513,400,666)(159,705,613,510,382,585)
(162,723,694,505,346,342)(343,351,405,729,721,667)(348,387,648,726,
703,586)(379,594,402,711,640,672)(384,630,645,708,622,591)(397,675)
] ],
[ 11, 35838544379904000, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"Alt(9) wreath Sym(3)", [ "A", 9, 3 ],
[ ( 1,210,491, 46,165,536)( 2,291,492,613,164,293, 6,615,488,289,168,617)
( 3,534,487,208,167, 50)( 4,453,495,694,169,374, 8,129,490,451,171,
698, 7,372,494,127,166,455, 9,696,493,370,170,131)( 5, 48,489,532,
163,212)( 10,228,527, 28,237,500, 64,201,518, 73,174,554, 37,192,563)
( 11,309,528,595,236,257, 69,606,515,316,177,635, 38,273,564,577,227,
284, 33,642,497,307,204,599, 74,255,555,604,191,320, 15,633,524,271,
240,581, 65,282,519,640,173,311, 42,597,560,253,231,608, 29,318,501,
631,200,275, 78,579,551,280,195,644)( 12,552,523,190,239, 14, 66,525,
514,235,176, 68, 39,516,559,172,230, 41, 30,561,496,226,203, 32, 75,
498,550,199,194, 77)( 13,471,531,676,241,338, 71,120,517,478,180,716,
43,354,566, 91,229,446, 36,723,502,388,206,113, 76,417,558,685,196,
401, 17,147,526,433,243,662, 70,363,521,154,175,473, 45,678,565,334,
233,122, 31,480,504,712,205,356, 80, 93,553,442,198,725, 16,390,530,
109,238,419, 72,687,520,397,179,149, 40,435,567,658,232,365, 35,156,
499,469,207,680, 79,336,557,118,193,482, 18,714,529,352,242, 95, 67,
444,522,721,178,392, 44,111,562,415,234,689, 34,399,503,145,202,437,
81,660,556,361,197,158)( 19,219,509, 55,183,545)( 20,300,510,622,
182,302, 24,624,506,298,186,626)( 21,543,505,217,185, 59)
( 22,462,513,703,187,383, 26,138,508,460,189,707, 25,381,512,136,184,
464, 27,705,511,379,188,140)( 23, 57,507,541,181,221)
( 47,246,537,568,209,248, 51,570,533,244,213,572)( 49,408,540,649,214,
329, 53, 84,535,406,216,653, 52,327,539, 82,211,410, 54,651,538,325,
215, 86)( 56,264,546,586,218,266, 60,588,542,262,222,590)
( 58,426,549,667,223,347, 62,102,544,424,225,671, 61,345,548,100,220,
428, 63,669,547,343,224,104)( 83,292,411,621,650,295,330,620)
( 85,454,414,702,655,376,332,134)( 87,616,407,297,654,619,326,296)
( 88,373,413,135,652,457,333,701)( 89,130,409,459,657,700,331,377)
( 90,697,412,378,656,133,328,458)( 92,310,447,603,722,259,393,611,110,
319,420,639,686,277,402,584,146,283,438,648,659,313,366,602,155,256,
474,612,677,322,339,638,119,274,483,585,713,286,357,647)
( 94,472,450,684,727,340,395,125,112,481,423,720,691,358,404, 98,148,
445,441,729,664,394,368,116,157,418,477,693,682,403,341,152,121,436,
486,666,718,367,359,161)( 96,634,443,279,726,583,389,287,114,643,416,
315,690,601,398,260,150,607,434,324,663,637,362,278,159,580,470,288,
681,646,335,314,123,598,479,261,717,610,353,323)( 97,391,449,117,724,
421,396,692,115,400,422,153,688,439,405,665,151,364,440,162,661,475,
369,683,160,337,476,126,679,484,342,719,124,355,485, 99,715,448,360,
728)(101,301,429,630,668,304,348,629)(103,463,432,711,673,385,350,143
)(105,625,425,306,672,628,344,305)(106,382,431,144,670,466,351,710)
(107,139,427,468,675,709,349,386)(108,706,430,387,674,142,346,467)
(128,247,456,576,695,250,375,575)(132,571,452,252,699,574,371,251)
(137,265,465,594,704,268,384,593)(141,589,461,270,708,592,380,269)
(245,294,573,614)(249,618,569,290)(254,312,609,596,317,258,636,605,
272,321,582,632,281,276,645,578,308,285,600,641)(263,303,591,623)
(267,627,587,299), ( 1,642,248,603, 2,643,244,597, 5,648,245,598)
( 3,644,252,596, 4,640,246,599, 9,641,247,595)( 6,647,249,602)
( 7,646,250,601)( 8,645,251,600)( 10,399,257,360, 11,400,253,354,
14,405,254,355)( 12,401,261,353, 13,397,255,356, 18,398,256,352)
( 15,404,258,359)( 16,403,259,358)( 17,402,260,357)( 19,561,311,441,
20,562,307,435, 23,567,308,436)( 21,563,315,434, 22,559,309,437, 27,
560,310,433)( 24,566,312,440)( 25,565,313,439)( 26,564,314,438)
( 28, 75,320,279, 29, 76,316,273, 32, 81,317,274)( 30, 77,324,272, 31,
73,318,275, 36, 74,319,271)( 33, 80,321,278)( 34, 79,322,277)
( 35, 78,323,276)( 37,237,293,117, 56,724,280,192, 50,162,299,679)
( 38,238,289,111, 59,729,281,193, 46,156,302,684)( 39,239,297,110, 58,
721,282,194, 54,155,301,676)( 40,235,291,113, 63,722,283,190, 48,158,
306,677)( 41,243,290,112, 55,723,284,198, 47,157,298,678)
( 42,242,294,116, 60,728,285,197, 51,161,303,683)( 43,241,295,115, 61,
727,286,196, 52,160,304,682)( 44,240,296,114, 62,726,287,195, 53,159,
305,681)( 45,236,292,109, 57,725,288,191, 49,154,300,680)
( 64,480,266,522, 65,481,262,516, 68,486,263,517)( 66,482,270,515, 67,
478,264,518, 72,479,265,514)( 69,485,267,521)( 70,484,268,520)
( 71,483,269,519)( 82,624,653,612,164,616)( 83,625,649,606,167,621)
( 84,626,657,605,166,613)( 85,622,651,608,171,614)( 86,630,650,607,
163,615)( 87,629,654,611,168,620)( 88,628,655,610,169,619)
( 89,627,656,609,170,618)( 90,623,652,604,165,617)( 91,381,662,369,
173,373)( 92,382,658,363,176,378)( 93,383,666,362,175,370)
( 94,379,660,365,180,371)( 95,387,659,364,172,372)( 96,386,663,368,
177,377)( 97,385,664,367,178,376)( 98,384,665,366,179,375)
( 99,380,661,361,174,374)(100,543,716,450,182,535,145,462,671,531,227,
454)(101,544,712,444,185,540,146,463,667,525,230,459)
(102,545,720,443,184,532,147,464,675,524,229,451)(103,541,714,446,189,
533,148,460,669,527,234,452)(104,549,713,445,181,534,149,468,668,526,
226,453)(105,548,717,449,186,539,150,467,672,530,231,458)
(106,547,718,448,187,538,151,466,673,529,232,457)(107,546,719,447,188,
537,152,465,674,528,233,456)(108,542,715,442,183,536,153,461,670,523,
228,455)(118,219,698,126,218,697)(119,220,694,120,221,702)
(121,217,696,122,225,695)(123,224,699,125,222,701)(124,223,700)
(127,138,707,693,200,211)(128,139,703,687,203,216)(129,140,711,686,
202,208)(130,136,705,689,207,209)(131,144,704,688,199,210)
(132,143,708,692,204,215)(133,142,709,691,205,214)(134,141,710,690,
206,213)(135,137,706,685,201,212)(325,579,329,585,326,580)
(327,581,333,578,328,577)(330,584)(331,583)(332,582)(334,336,338,342,
335,337)(339,341)(343,498,392,423,344,499,388,417,347,504,389,418)
(345,500,396,416,346,496,390,419,351,497,391,415)(348,503,393,422)
(349,502,394,421)(350,501,395,420)(406,588,491,639,407,589,487,633,
410,594,488,634)(408,590,495,632,409,586,489,635,414,587,490,631)
(411,593,492,638)(412,592,493,637)(413,591,494,636)(424,507,554,477,
425,508,550,471,428,513,551,472)(426,509,558,470,427,505,552,473,432,
506,553,469)(429,512,555,476)(430,511,556,475)(431,510,557,474)
(568,570,572,576,569,571)(573,575) ] ],
[ 12, 35838544379904000, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"Alt(9)^3.Sym(3)", [ "A", 9, 3 ],
[ ( 1,337, 38,193, 72,670, 57,247, 10,364, 29,229, 27,706, 3,256, 37,355,
65,184, 63,652, 12,283, 28,391, 20,220, 9,661, 39,274, 64,346, 56,
166, 18,688, 30,310, 19,382, 2,175, 45,679, 66,265, 55,328, 11,202,
36,715, 21,301)( 4, 13, 40, 31, 67, 22, 58)( 5,499, 44,112, 68,
508, 62, 85, 14,526, 35,148, 23,544, 8, 94, 41,517, 71,103, 59,490,
17,121, 32,553, 26,139)( 6,418, 42,436, 69,427, 60,409, 15,445, 33,
472, 24,463)( 7,580, 43,598, 70,589, 61,571, 16,607, 34,634, 25,625)
( 46,400, 47,238, 54,724, 48,319)( 49, 76)( 50,562, 53,157)( 51,481)
( 52,643)( 73,373, 74,211, 81,697, 75,292)( 77,535, 80,130)( 78,454)
( 79,616)( 82,338,524,197,153,671,543,251, 91,365,515,233,108,707,489,
260,118,356,551,188,144,653,498,287,109,392,506,224, 90,662,525,278,
145,347,542,170, 99,689,516,314,100,383,488,179,126,680,552,269,136,
329,497,206,117,716,507,305)( 83,176,531,683,147,266,541,332, 92,203,
522,719,102,302,487,341,119,194,558,674,138,248,496,368,110,230,513,
710, 84,257,523,359,146,185,549,656, 93,284,514,395,101,221,495,665,
120,275,550,350,137,167,504,692,111,311,505,386)( 86,500,530,116,149,
509,548, 89, 95,527,521,152,104,545,494, 98,122,518,557,107,140,491,
503,125,113,554,512,143)( 87,419,528,440,150,428,546,413, 96,446,519,
476,105,464,492,422,123,437,555,431,141,410,501,449,114,473,510,467)
( 88,581,529,602,151,590,547,575, 97,608,520,638,106,626,493,584,124,
599,556,593,142,572,502,611,115,635,511,629)(127,401,533,242,135,725,
534,323)(128,239,540,728,129,320,532,404)(131,563,539,161)
(132,482,537,485)(133,644,538,647)(134,158,536,566)(154,374,560,215,
162,698,561,296)(155,212,567,701,156,293,559,377)(159,455,564,458)
(160,617,565,620)(163,342,686,192,315,667,381,245,172,369,677,228,270,
703,327,254,199,360,713,183,306,649,336,281,190,396,668,219,252,658,
363,272,226,351,704,165,261,685,354,308,181,387,650,174,288,676,390,
263,217,333,659,201,279,712,345,299)(164,180,693,678,309,262,379,326,
173,207,684,714,264,298,325,335,200,198,720,669,300,244,334,362,191,
234,675,705,246,253,361,353,227,189,711,651,255,280,352,389,182,225,
657,660,282,271,388,344,218,171,666,687,273,307,343,380)
(168,423,690,435,312,424,384,407,177,450,681,471,267,460,330,416,204,
441,717,426,303,406,339,443,195,477,672,462,249,415,366,434,231,432,
708,408,258,442,357,470,186,468,654,417,285,433,393,425,222,414,663,
444,276,469,348,461)(169,585,691,597,313,586,385,569,178,612,682,633,
268,622,331,578,205,603,718,588,304,568,340,605,196,639,673,624,250,
577,367,596,232,594,709,570,259,604,358,632,187,630,655,579,286,595,
394,587,223,576,664,606,277,631,349,623)(208,405,695,237,297,721,372,
317)(209,243,702,723,291,316,370,398)(210,324,694,399,290,235,378,722
)(213,486,699,480,294,478,375,479)(214,648,700,642,295,640,376,641)
(216,729,696,318,289,397,371,236)(240,459,726,453,321,451,402,452)
(241,621,727,615,322,613,403,614)(411,420,447,438,474,429,465)
(412,582,448,600,475,591,466,573,421,609,439,636,430,627)(456,483)
(457,645)(484,618)(574,583,610,601,637,592,628)(619,646),
( 1,564,125,421,622,551,201,376,603, 67,318,332,438,139,254,163,537,
126, 16,640,557,444,385,596,229,291,333, 33,157,260,406,546,119,178,
613,558, 39,403,602,472,300,326,195,130,261)( 2,240,134,423, 55,560,
206,457,630, 65,237,377,441, 58,317,170,456,144, 11,235,539,450, 61,
641,233,453,387, 29,238,296,414, 60,155,179,451,549, 38,241,620,477,
57,398,197,454,306)( 3,402,116,418,298,488,204,133,585, 64,561,368,
439,625,308,165,375,117, 13,316,494,447,142,578,226,534,369, 34,643,
314,408,384,110,175,289,495, 42,160,584,469,543,362,196,616,315)
( 4,321, 89,420,136,497,199,538,612, 70,642,395,435,382,272,166,294,
90, 15,154,503,442,547,605,232,615,396, 30,400,278,409,303, 83,177,
127,504, 37,565,611,475,624,389,192,373,279)( 5,726,107,419,703,506,
203,700,594, 68,723,350,437,706,263,167,699,108, 14,721,512,446,709,
587,230,696,351, 32,724,269,410,708,101,176,694,513, 41,727,593,473,
705,344,194,697,270)( 6,159, 98,415,541,524,205,619,639, 66,399,359,
436,301,245,168,132, 99, 10,559,530,448,628,632,228,372,360, 31,319,
251,411,141, 92,172,532,531, 43,646,638,471,381,353,193,292,252)
( 7,645,152,417,379,515,202,295,576, 69,156,341,433,544,281,169,618,
153, 12,397,521,445,304,569,231,129,342, 28,562,287,412,627,146,174,
370,522, 40,322,575,474,138,335,190,535,288)( 8,483,143,416,217,533,
207, 52,648, 71,480,386,434,220,290,171, 51,162, 17,478,548,443,223,
614,234, 48,405, 35,481,305,407,222,128,180, 46,567, 44,484,629,470,
219,371,198, 49,324)( 9, 78,161,422,460,542,200,214,621, 72, 75,404,
440,463,299,164,213,135, 18, 73,566,449,466,623,227,210,378, 36, 76,
323,413,465,137,173,208,540, 45, 79,647,476,462,380,191,211,297)
( 19,563,692,430,626,713,183,374,684, 22,320,656,429,140,659,181,536,
693, 25,644,719,426,383,677,184,293,657, 24,158,665,424,545,686,187,
617,720, 21,401,683,427,302,650,186,131,666)( 20,239,701,432, 59,722,
188,455,711)( 23,725,674,428,707,668,185,698,675)( 26,482,710,425,
221,695,189, 50,729)( 27, 77,728,431,464,704,182,212,702)
( 47,243, 53,486, 62,479,224,452,225)( 54, 81, 80,485,467,461,218,209,
216)( 56,236,215,459, 63, 74,242,458,468)( 82,501,118,502,604,556,
606,394,597,391,273,328,276, 85,258)( 84,339,109,499,280,493,609,151,
579,388,516,364,277,571,312)( 86,663,100,500,685,511,608,718,588,392,
678,346,275,652,267)( 87, 96, 91,496,523,529,610,637,633,390,354,355,
274,247,249)( 88,582,145,498,361,520,607,313,570,393,111,337,271,490,
285)( 93,334,514,526,286,574,636,147,336,352,517,283,250,573,150)
( 94,253,487,528,124,583,631,552,363,358,598,310,246,330,114)
( 95,658,505,527,691,592,635,714,345,356,679,265,248,654,105)
( 97,577,550,525,367,601,634,309,327,357,112,256,244,492,123)
(102,338,676,508,284,655,591,149,660,343,518,688,268,572,717)
(103,257,649,510,122,664,586,554,687,349,599,715,264,329,681)
(104,662,667,509,689,673,590,716,669,347,680,670,266,653,672)
(106,581,712,507,365,682,589,311,651,348,113,661,262,491,690)
(115,580,307,489,366)(120,340,595,553,282,331,600,148,255,325,519,121,
259,568,555) ] ],
[ 13, 71677088759808000, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"Alt(9)^3.Alt(4)", [ "A", 9, 3 ],
[ ( 1,285, 65,523,317,556,154,250,150)( 2,528, 74,529,155,493,159, 7,123)
( 3,204, 29,530,641,511,157,655, 96, 9,366, 56,527,479,538,156,169,
114, 8,609, 20,526,722,502,162,331,141, 5,447, 47,525,236,520,161,
574,105, 4,690, 11,531,398,547,158,412,132)( 6, 42, 38,524,560,565,
160, 88, 87)( 10,288,389,541,320,475,127,246,231, 28,287,632,505,319,
718, 91,252,393, 55,284,470,532,318,232,109,251,636, 19,283,713,496,
324,394,136,248,474, 46,282,227,514,323,637,100,247,717)
( 12,207,353,548,644,430,130,651,177, 36,368,623,509,481,700, 93,171,
357, 62,608,425,535,723,178,117,332,627, 23,445,695,498,243,358,143,
572,429, 49,687,173,522,404,628,104,409,699)( 13,693,335,549,401,466,
131,408,213, 30,206,596,512,643,673, 94,657,339, 63,365,461,536,480,
214,111,170,600, 26,607,668,499,729,340,144,329,465, 50,444,209,516,
242,601,107,571,672)( 14,450,371,543,239,439,134,570,186, 31,692,578,
513,400,709, 95,414,375, 57,203,434,539,642,187,112,656,582, 27,364,
704,500,486,376,138,167,438, 53,606,182,517,728,583,108,328,708)
( 15, 45,362,542,563,484,133, 84,168, 33, 44,605,506,562,727, 97, 90,
330, 60, 41,443,533,561,241,115, 89,573, 24, 40,686,497,567,403,142,
86,411, 51, 39,200,515,566,646,106, 85,654)( 16,126,326,546, 77,448,
128,489,240, 34,125,569,510, 76,691, 92,495,402, 61,122,407,537, 75,
205,110,494,645, 25,121,650,501, 81,367,137,491,483, 52,120,164,519,
80,610,101,490,726)( 17,612,344,544,725,421,135,327,222, 32,449,614,
507,238,682, 98,576,348, 58,689,416,540,399,223,113,413,618, 21,202,
677,503,648,349,139,653,420, 54,363,218,518,485,619,102,166,681)
( 18,369,380,545,482,457,129,165,195, 35,611,587,508,724,664, 99,333,
384, 59,446,452,534,237,196,116,575,591, 22,688,659,504,405,385,140,
410,456, 48,201,191,521,647,592,103,652,663)( 37,281,551,559,322,151,
82,249, 69)( 43,119,488,564, 79,124, 83,492, 78)( 64,280,308,550,316,
313,145,244,312)( 66,199,272,557,640,268,148,649,258, 72,361,299,554,
478,295,147,163,276, 71,604,263,553,721,259,153,325,303, 68,442,290,
552,235,277,152,568,267, 67,685,254,558,397,304,149,406,294)
( 70,118,245,555, 73,286,146,487,321)(172,279,395,622,266,472,694,255,
234,352,305,635,424,292,714)(174,198,359,629,590,427,697,660,180,360,
386,626,428,454,696)(175,684,341,630,347,463,698,417,216,354,224,599,
431,616,669)(176,441,377,624,185,436,701,579,189,355,710,581,432,373,
705)(179,603,350,625,671,418,702,336,225,356,467,617,426,211,678)
(181,274,719,577,270,391,703,257,477,370,300,230,433,296,633)
(183,193,683,584,594,346,706,662,423,378,381,221,437,458,615)
(184,679,665,585,351,382,707,419,459,372,219,194,440,620,588)
(188,598,674,580,675,337,711,338,468,374,462,212,435,215,597)
(190,278,638,586,265,715,658,261,396,379,302,473,451,291,228)
(192,197,602,593,589,670,661,666,342,387,383,464,455,453,210)
(208,273,233,595,269,634,667,256,720,334,306,392,460,293,471)
(217,275,476,613,264,229,676,260,639,343,301,716,415,297,390)
(220,680,422,621,345)(226,271,314,631,262,310,712,253,315,388,298,311,
469,289,309), ( 1,124,660,168, 61,692,489,214,704,251,556,697,569,
268,716,409,646,667, 86,421,726)( 2,286,714,166,628,674,491,457,722,
244,151,661,573, 25,689,408,241,703, 89,502,699)( 3,205,705,170,547,
701,488,295,713,247,637,670,572,430,725,406,160,658, 87, 16,690)
( 4,610,669,167,466,728,487,133,659,249, 70,688,570,187,707,413,565,
694, 83,259,717)( 5,448,723,163,142,665,492, 52,686,246,232,706,575,
511,698,407,322,712, 85,583,672)( 6, 43,687,165,223,710,494,538,695,
245,313,715,571,592,671,410,484,721, 82, 97,663)( 7,691,651,169,709,
656,493,700,650,250,718,652,574,673,653,412,727,649, 88,664,654)
( 8,529,696,164,304,719,490,619,668,248,475,724,568,106,662,411, 79,
685, 84,178,708)( 9,367,678,171,385,683,495,376,677,252,394,679,576,
349,680,414,403,676, 90,340,681)( 10,123, 12,204, 57,206,543,215,542,
296,551,292,632,265,635,427,644,424,158,415,159)( 11,285, 66,202,624,
188,545,458,560,289,146,256,636, 22,608,426,239,460,161,496,132)
( 13,609, 21,203,462,242,541,134,497,294, 65,283,633,184,626,431,563,
451,155,253,150)( 14,447, 75,199,138,179,546, 53,524,291,227,301,638,
508,617,425,320,469,157,577,105)( 15, 42, 39,201,219,224,548,539,533,
290,308,310,634,589,590,428,482,478,154, 91, 96)( 17,528, 48,200,300,
233,544,620,506,293,470,319,631,103,581,429, 77,442,156,172,141)
( 18,366, 30,207,381,197,549,377,515,297,389,274,639,346,599,432,401,
433,162,334,114)( 19,122,417,240, 55,125,498,213, 56,287,552,211,623,
269,554,454,641,262,149,418,645)( 20,284,471,238,622,107,500,456, 74,
280,147,175,627, 26,527,453,236,298,152,499,618)( 23,446,480,235,136,
98,501, 51, 38,282,228,220,629,512,536,452,317,307,148,580,591)
( 24, 41,444,237,217,143,503,537, 47,281,309,229,625,593,509,455,479,
316,145, 94,582)( 27,365,435,243,379,116,504,375, 29,288,390,193,630,
350,518,459,398,271,153,337,600)( 28,126,336,195, 63,368,516,216,380,
278,558,373,596,270,392,436,648,343,113,423,402)( 31,612,345,194,468,
404,514,135,335,276, 72,364,597,189,383,440,567,370,110,261,393)
( 32,450,399,190,144,341,519, 54,362,273,234,382,602,513,374,434,324,
388,112,585,348)( 33, 45,363,192,225,386,521,540,371,272,315,391,598,
594,347,437,486,397,109, 99,339)( 34,693,327,196,711,332,520,702,326,
277,720,328,601,675,329,439,729,325,115,666,330)( 35,531,372,191,306,
395,517,621,344,275,477,400,595,108,338,438, 81,361,111,180,384)
( 36,369,354,198,387,359,522,378,353,279,396,355,603,351,356,441,405,
352,117,342,357)( 37,120,174,222, 62,530,534,209,299,314,553,616,587,
266,473,481,640,100, 95,420, 78)( 40,606,183,221,467,566,532,128,254,
312, 67,607,588,185,464,485,559,127, 92,258, 69)( 44,525,210,218,305,
557,535,614,263,311,472,643,586,104,419,483, 73,118, 93,177, 60)
( 46,119,255,231, 58,611,507,212,461,323,550,130,578,267, 68,445,642,
181,140,422,564)( 49,605,264,230,463,647,505,131,416,321, 64,121,579,
186, 59,449,561,208,137,260,555)( 50,443,318,226,139,584,510)
( 71,526,615,182,302,476,562,613,101,257,474, 76,604,102,176,465, 80,
523,129,173,303)(331,682,657)(333,358,684) ] ],
[ 14, 71677088759808000, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"Alt(9)^3.D_12", [ "A", 9, 3 ],
[ ( 1,595,627, 78, 19,604,573, 33, 55,640,591, 42)( 2,514,628,159, 27,199,
572,438, 62,397,589,285)( 3,676,624,726, 21,685,570,681, 57,721,588,
690)( 4,271,623,564, 25,118,576,195, 59,478,593,366)
( 5,433,629,402, 22,280,569,519, 61,154,594,204)( 6, 28,622,645, 24,
37,568,600, 60, 73,586,609)( 7,109,630,240, 23,442,575,357, 58,316,
587,528)( 8,352,625,321, 20,523,574,114, 63,235,590,447)
( 9,190,626,483, 26,361,571,276, 56,559,592,123)( 10,613,636, 15, 46,
631,582, 51, 64,577,618, 69)( 11,532,637, 96, 54,226,581,456, 71,334,
616,312)( 12,694,633,663, 48,712,579,699, 66,658,615,717)
( 13,289,632,501, 52,145,585,213, 68,415,620,393)( 14,451,638,339, 49,
307,578,537, 70, 91,621,231)( 16,127,639,177, 50,469,584,375, 67,253,
614,555)( 17,370,634,258, 47,550,583,132, 72,172,617,474)
( 18,208,635,420, 53,388,580,294, 65,496,619,150)( 29,541,646,105, 45,
163,599,465, 80,343,607,249)( 30,703,642,672, 39,649,597,708, 75,667,
606,654)( 31,298,641,510, 43, 82,603,222, 77,424,611,330)
( 32,460,647,348, 40,244,596,546, 79,100,612,168)( 34,136,648,186, 41,
406,602,384, 76,262,605,492)( 35,379,643,267, 38,487,601,141, 81,181,
608,411)( 36,217,644,429, 44,325,598,303, 74,505,610, 87)
( 83,522,223,158,432,206,329,436,305,398,508,286)( 84,684,219,725,426,
692,327,679,300,722,507,691)( 85,279,218,563,430,125,333,193,302,479,
512,367)( 86,441,224,401,427,287,326,517,304,155,513,205)
( 88,117,225,239,428,449,332,355,301,317,506,529)( 89,360,220,320,425,
530,331,112,306,236,509,448)( 90,198,221,482,431,368,328,274,299,560,
511,124)( 92,540,232, 95,459,233,338,454,314,335,535,313)
( 93,702,228,662,453,719,336,697,309,659,534,718)( 94,297,227,500,457,
152,342,211,311,416,539,394)( 97,135,234,176,455,476,341,373,310,254,
533,556)( 98,378,229,257,452,557,340,130,315,173,536,475)
( 99,216,230,419,458,395,337,292,308,497,538,151)(101,531,169,113,468,
242,347,445,251,353,544,322)(102,693,165,680,462,728,345,688,246,677,
543,727)(103,288,164,518,466,161,351,202,248,434,548,403)
(104,450,170,356,463,323,344,526,250,110,549,241)(106,126,171,194,464,
485,350,364,247,272,542,565)(107,369,166,275,461,566,349,121,252,191,
545,484)(108,207,167,437,467,404,346,283,245,515,547,160)
(111,711,237,671,444,656,354,706,318,668,525,655)(115,144,243,185,446,
413,359,382,319,263,524,493)(116,387,238,266,443,494,358,139,324,182,
527,412)(119,495,196,140,486,188,365,409,278,380,562,268)
(120,657,192,707,480,674,363,652,273,704,561,673)(122,414,197,383,481,
269,362,490,277,137,567,187)(128,558,178,131,477,179,374,472,260,371,
553,259)(129,720,174,698,471,665,372,715,255,695,552,664)
(133,153,180,212,473,422,377,391,256,290,551,502)(134,396,175,293,470,
503,376,148,261,209,554,421)(138,729,183,689,408,683,381,724,264,686,
489,682)(142,162,189,203,410,440,386,400,265,281,488,520)
(143,405,184,284,407,521,385,157,270,200,491,439)(146,504,214,149,423,
215,392,418,296,389,499,295)(147,666,210,716,417,701,390,661,291,713,
498,700)(156,675,201,653,435,710,399,670,282,650,516,709)
(651,678,705,723,669,687)(660,696,714),
( 1,392, 44,212,607,241, 94,564, 90,348,656,372,602,295,577,556, 18,
509,693,183,679,318,109,312)( 2,383,449,209,625,484, 92,546,414,344,
710,453,596,304,415,551, 63,428,686,219,436,317,136,474)
( 3,356,287,208,634, 79, 95,528,171,346,728,129,600,250,334,557, 54,
590,691,174,517,324,100,717)( 4,401,125,213,571,403, 98,537,576,349,
665,534,603,268,658,552, 36,266,685,228, 31,320,118,231)
( 5,365,206,211,643,160, 96,492,333,350,701,615,601,259,496,558, 27,
671,687,192,274,316,145, 69)( 6,329,368,215,616,646, 97,501,495,351,
674,696,597,277,253,550, 72, 23,689,201,193,319,154,150)
( 7,338,530,216,589,727, 93,519,252,343,719, 48,599,286,172,553, 81,
104,690,165,355,323,127,636)( 8,374,611,214,580,565, 99,510,657,345,
683,291,595,313, 10,554, 45,185,688,237,112,321, 82,393)
( 9,347,692,210,598,322, 91,555)( 11,545,450,182,706,480,110,303,406,
389, 62,455,605,223,418,560,144,429,650,381,440,290,622,475)
( 12,518,288,181,715, 75,113,285,163,391, 80,131,609,169,337,566,135,
591,655,336,521,297,586,718)( 13,563,126,186,652,399,116,294,568,394,
17,536,612,187,661,561,117,267,649,390, 35,293,604,232)
( 14,527,207,184,724,156,114,249,325,395, 53,617,610,178,499,567,108,
672,651,354,278,289,631, 70)( 15,491,369,188,697,642,115,258,487,396,
26,698,606,196,256,559,153, 24,653,363,197,292,640,151)
( 16,500,531,189,670,723,111,276,244,388, 71, 50,608,205,175,562,162,
105,654,327,359,296,613,637)( 19,716, 39,194,283,235,148, 78, 86,366,
170,373,647,133,582,493,342,512,702,588,682,255,514,315)
( 20,707,444,191,301,478,146, 60,410,362,224,454,641,142,420,488,387,
431,695,624,439,254,541,477)( 21,680,282,190,310, 73,149, 42,167,364,
242,130,645, 88,339,494,378,593,700,579,520,261,505,720)
( 22,725,120,195,247,397,152, 51,572,367,179,535,648,106,663,489,360,
269,694,633, 34,257,523,234)( 25,662,525,198,265,721,147, 33,248,361,
233, 49,644,124,177,490,405,107,699,570,358,260,532,639)
( 28,311, 37,230, 40,239,121,240, 85,402, 89,375,575,376,584,538,585,
511,666,507,684,264,676,309)( 29,302,442,227, 58,482,119,222,409,398,
143,456,569,385,422,533,630,430,659,543,441,263,703,471)
( 30,275,280,226, 67, 77,122,204,166,400,161,132,573,331,341,539,621,
592,664,498,522,270,667,714)( 32,284,199,229, 76,158,123,168,328,404,
134,618,574,340,503,540,594,673,660,516,279,262,712, 66)
( 38,221,445,236,139,483, 83,384,413,371,629,457,578,547,423,506,711,
426,677,300,433,308, 55,473)( 41,203,202,238,157,159, 87,330,332,377,
620,619,583,502,504,513,675,669,678,273,271,307, 64, 68)
( 43,176,526,243,103,726, 84,357,251,370,638, 52,581,529,180,508,729,
102,681,246,352,314, 46,635)( 47,626,448,173,544,486,101,708,408,353,
305,451,632, 61,419,524,225,427,722,138,438,245,379,476)
( 56,464,443,218,463,479,137,465,407,380,467,452,623,466,416,542,468,
425,704,462,434,299,460,470)( 57,437,281,217,472, 74,140,447,164,382,
485,128,627,412,335,548,459,587,709,417,515,306,424,713)
( 59,446,200,220,481,155,141,411,326,386,458,614,628,421,497,549,432,
668,705,435,272,298,469, 65) ] ],
[ 15, 143354177519616000, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"Sym(9) wreath Alt(3)", [ "A", 9, 3 ],
[ ( 1,325,331,385,304,300,291,453,452,425,182,189,243,648,647,611,530,528,
519, 33, 28)( 2,343,169,387,322,624,296,444,533,429,191, 27,235,576,
404,610,548,285,516, 51,433)( 3,370,412,380,268,219,297,480,614,431,
200,513,240,603, 80,604,494,366,520, 60,271)( 4,388,655,382,313,705,
292,471,695,427,227,675,238,639,728,607,557,690,517, 69,676)
( 5,334, 88,383,259,138,293,417,128,428,173,108,239,585,161,608,503,
123,518, 15,109)( 6,352, 7,379,250,381,295,462,290,426,209,432,236,
594,242,612,566,609,521, 42,514)( 8,361,493,384,277, 57,289,408,371,
430,218,270,237,621,485,605,512,204,522, 78,595)( 9,397,574,386,286,
543,294,435, 47,424,164,351,241,630,323,606,539,447,515, 24,190)
( 10, 82,329,340,142,302,255,129,455,416,101,185,180,162,644,584,125,
527,501,114, 32)( 11,100,167,342,160,626,260,120,536,420,110, 23,172,
90,401,583,143,284,498,132,437)( 12,127,410,335,106,221,261,156,617,
422,119,509,177,117, 77,577, 89,365,502,141,275)( 13,145,653,337,151,
707,256,147,698,418,146,671,175,153,725,580,152,689,499,150,680)
( 14, 91, 86,338, 97,140,257, 93,131,419, 92,104,176, 99,158,581, 98,
122,500, 96,113)( 16,136,248,336,133,464,254,102,212,423,155,590,179,
126,563,582,116, 41,496, 87,356)( 17,118,491,339,115, 59,253, 84,374,
421,137,266,174,135,482,578,107,203,504,159,599)( 18,154,572,341,124,
545,258,111, 50,415, 83,347,178,144,320,579,134,446,497,105,194)
( 19,163,333,403,628,305,282,534,456,434, 20,181,171,405,646,629,287,
525,537,438, 29)( 21,208,414,398,592,224,288,561,618,440, 38,505,168,
360, 79,622,251,363,538,465,272)( 22,226,657,400,637,710,283,552,699,
436, 65,667,166,396,727,625,314,687,535,474,677)( 25,217,252,399,619,
467,281,507,213,441, 74,586,170,369,565,627,278, 39,532,411,353)
( 26,199,495,402,601, 62,280,489,375,439, 56,262,165,378,484,623,269,
201,540,483,596)( 30, 46,406,326,349,223,306,318,615,458,443,506,186,
198, 81,640,575,368,529,546,276)( 31, 64,649,328,394,709,301,309,696,
454,470,668,184,234,729,643,638,692,526,555,681)( 34, 55,244,327,376,
466,299,264,210,459,479,587,188,207,567,645,602, 44,523,492,357)
( 35, 37,487,330,358, 61,298,246,372,457,461,263,183,216,486,641,593,
206,531,564,600)( 36, 73,568,332,367,547,303,273, 48,451,407,344,187,
225,324,642,620,449,524,510,195)( 40,550,654,355, 70,703,247,390,700,
463,308,669,211,477,722,589,233,693,562,636,683)( 43,541,249,354, 52,
460,245,345,214,468,317,588,215,450,560,591,197, 45,559,573,359)
( 49,469,650,346,232,711,319,633,701,445,551,672,193, 72,721,571,395,
691,544,312,678)( 53,442,488,348,196, 63,316,570,377,448,542,267,192,
54,478,569,350,205,549,321,597)( 58,307,651,373,475,704,265,228,702,
481,632,674,202,558,726,598, 71,685,490,393,682)( 66,694,409,389,673,
220,315,723,616,476,686,508,231,684, 76,631,656,364,556,708,274)
( 67,712,652,391,718,706,310,714,697,472,713,670,229,720,724,634,719,
688,553,717,679)( 68,658, 85,392,664,139,311,660,130,473,659,103,230,
666,157,635,665,121,554,663,112)( 75,613,413,362,511,222,279)
( 94,149,662)(148,716,661), ( 1,104,240,334,143,565,595,147,317)
( 2, 23,186,339,386,547,601,633,308)( 3,266,168,338,224,502,602,552,
272)( 4,428,213,342,710,529,598,471,290, 9,671,204,337,467,538,603,
714,281)( 5,185,177,341,548,520,597,309,245)( 6,347,222,340,629,
556,596, 66,263)( 7,590,231,335, 62,511,600,390,299)
( 8,509,195,336,305,493,599,228,254)( 10,107,564,352,138,322,568,149,
236)( 11, 26,510,357,381,304,574,635,227)( 12,269,492,356,219,259,
575,554,191)( 13,431,537,360,705,286,571,473,209, 18,674,528,355,462,
295,576,716,200)( 14,188,501,359,543,277,570,311,164)
( 15,350,546,358,624,313,569, 68,182)( 16,593,555,353, 57,268,573,392,
218)( 17,512,519,354,300,250,572,230,173)( 19,105,402,379,142,646,
631,146, 74)( 20, 24,348,384,385,628,637,632, 65)( 21,267,330,383,
223,583,638,551, 29)( 22,429,375,387,709,610,634,470, 47, 27,672,366,
382,466,619,639,713, 38)( 25,591,393,380, 61,592,636,389, 56)
( 28,102,321,325,140,241,577,152,560)( 30,264,249,329,221,178,584,557,
515)( 31,426,294,333,707,205,580,476,533, 36,669,285,328,464,214,585,
719,524)( 32,183,258,332,545,196,579,314,488)( 33,345,303,331,626,
232,578, 71,506)( 34,588,312,326, 59,187,582,395,542)
( 35,507,276,327,302,169,581,233,497)( 37,103,483,370,144,727,604,148,
479, 46,108,726,361,139,484,613,153,722)( 39,265,411,374,225,664,611,
553,434, 48,270,654,365,220,421,620,558,677)( 40,427,456,378,711,691,
607,472,452, 54,675,690,364,463,457,621,720,686)( 41,184,420,377,549,
682,606,310,407, 50,189,663,368,544,439,615,315,650)( 42,346,465,376,
630,718,605, 67,425, 51,351,708,367,625,475,614, 72,668)
( 43,589,474,371, 63,673,609,391,461, 52,594,717,362, 58,430,618,396,
704)( 44,508,438,372,306,655,608,229,416, 53,513,681,363,301,412,617,
234,659)( 45,670,447,373,468,700,612,715,443, 49,432,699,369,706,448,
616,477,695)( 55,106,645,388,137, 79,586,150,398)( 60,349,627,394,
623, 70,587, 69,344)( 64,101, 78,343,141,403,622,151,641)
( 73,100,159,397,136,160,640,145,155)( 75,262, 87,401,217, 97,647,550,
110)( 76,424,132,405,703,124,643,469,128, 81,667,123,400,460,133,648,
712,119)( 77,181, 96,404,541,115,642,307, 83)( 80,505,114,399,298,
88,644,226, 92)( 82,158,235, 91,161,559,109,156,316)
( 84,320,163, 95,242,496,116,561,271)( 85,482,208, 99,728,523,112,480,
289, 90,725,199, 94,485,532,117,723,280)( 86,239,172, 98,566,514,111,
318,244)( 89,563,190, 93,323,487,113,237,253)(118,157,478,127,162,721
)(120,319,406,131,243,658,125,562,433,129,324,649,122,238,415,134,
567,676)(121,481,451,135,729,685)(126,724,442,130,486,694)
(165,257,170,500,197,498,278,489,275)(166,419,215,504,683,525,274,408,
293,171,662,206,499,440,534,279,651,284)(167,176,179,503,521,516,273,
246,248)(174,260,494,518,192,255,251,491,194)(175,422,539,522,678,
282,247,410,212,180,665,530,517,435,291,252,653,203)(193,417,296,495,
680,201,256,413,536,198,660,287,490,437,210,261,656,527)
(202,418,458,540,684,687,283,409,455,216,666,692,526,436,453,297,657,
689)(207,661,449,535,441,696,288,652,446,211,423,701,531,679,444,292,
414,698)(445,454,459,702,693,688)(450,697) ] ],
[ 16, 143354177519616000, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"Alt(9)^3.Sym(4)", [ "A", 9, 3 ],
[ ( 1,634,303,369,521, 46,632,708,333,517,289,605,710, 9,553,294,362,683)
( 2,715,249,364,278, 37,638, 60,396,519,370,596,703,576,544,297,524,
701)( 3,229,321,363,197, 73,633,222,405,516,208,641,705,171,562,291,
200,728)( 4,310,285,368, 35, 64,636,384,360,514,613,623,711,495,535,
290,686,656)( 5,148,267,367,440, 10,635,141,351,520,451,578,707, 90,
508,295,443,665)( 6,391,276,361,602, 55,639,546,378,515,694,569,706,
252,526,296, 38,719)( 7,472,258,365,116, 19,637,465,342,518,127,587,
709,414,499,293,119,674)( 8, 67,312,366,359, 28,631,627,387,522,532,
614,704,657,490,292,281,692)( 11,716, 87,346,277,442,584, 59,153,510,
376,434,658,572,139,270,529,458)( 12,230,159,345,196,478,579,221,162,
507,214,479,660,167,157,264,205,485)( 13,311,123,350, 34,469,582,383,
117,505,619,461,666,491,130,263,691,413)( 14,149,105,349,439,415,581,
140,108,511,457,416,662, 86,103,268,448,422)( 15,392,114,343,601,460,
585,545,135,506,700,407,661,248,121,269, 43,476)( 16,473, 96,347,115,
424,583,464, 99,509,133,425,664,410, 94,266,124,431)( 17, 68,150,348,
358,433,577,626,144,513,538,452,659,653, 85,265,286,449)
( 18,554,132,344,682,406,580,302,126,512, 52,470,663,329,112,262,610,
467)( 20,718,411,337,275,118,593, 61,477,501,374,110,667,574,463,261,
527,134)( 21,232,483,336,194,154,588,223,486,498,212,155,669,169,481,
255,203,161)( 22,313,447,341, 32,145,591,385,441,496,617,137,675,493,
454,254,689, 89)( 23,151,429,340,437, 91,590,142,432,502,455, 92,671,
88,427,259,446, 98)( 24,394,438,334,599,136,594,547,459,497,698, 83,
670,250,445,260, 41,152)( 25,475,420,338,113,100,592,466,423,500,131,
101,673,412,418,257,122,107)( 26, 70,474,339,356,109,586,628,468,504,
536,128,668,655,409,256,284,125)( 27,556,456,335,680, 82,589,304,450,
503, 50,146,672,331,436,253,608,143)( 29,712,573,382,279,523,620, 56,
720,492,373,272,685,575, 58,315,528,377)( 30,226,645,381,198,559,615,
218,729,489,211,317,687,170, 76,309,204,404)( 31,307,609,386, 36,550,
618,380,684,487,616,299,693,494, 49,308,690,332)( 33,388,600,379,603,
541,621,542,702,488,697,245,688,251, 40,314, 42,395)( 39,233, 78,390,
195,397,597,217,648,543,216,560,696,164,724,246,202,323)
( 44, 71, 69,393,357,352,595,622,630,549,540,533,695,650,652,247,283,
287)( 45,557, 51,389,681,325,598,298,612,548, 54,551,699,326,679,244,
607,305)( 47,713,654,328,274,280,611, 62, 72,555,375,353,676,568,625,
306,531,539)( 48,227,726,327,193,316,606,224, 81,552,213,398,678,163,
643,300,207,566)( 53, 65,717,330,355,271,604,629, 63,558,537,371,677,
649,571,301,288,530)( 57,234,564,372,191,721,570,220,324,525,215, 74,
714,168,400,273,199,647)( 66,231,402,354,190,640,624,225,567,534,209,
722,651,166,319,282,206, 80)( 75,228,240,399,192,235,642,219,243,561,
210,236,723,165,238,318,201,242)( 77,147,186,403,435,172,644,138,189,
565,453,173,725, 84,184,322,444,179)( 79,471,177,401,111,181,646,462,
180,563,129,182,727,408,175,320,120,188)( 93,185,160,426,178,482)
( 95,104,106,430,421,419)( 97,428)(102,187,484,417,176,158)
(156,183,241,480,174,239), ( 1,540, 71,372, 38,694, 18,458, 21,290)
( 2,532, 72,377, 39,695, 10,459, 26,291)( 3,533, 64,378, 44,696, 11,
451, 27,296)( 4,535, 67,373, 40,697, 13,454, 22,292)
( 5,536, 68,374, 41,698, 14,455, 23,293)( 6,538, 69,376, 42,700, 15,
457, 24,295)( 7,537, 70,375, 43,699, 16,456, 25,294)
( 8,534, 65,370, 45,701, 12,452, 19,297)( 9,539, 66,371, 37,702, 17,
453, 20,289)( 28,135, 80,210, 29,127, 81,215, 30,128, 73,216, 35,129,
74,208, 36,134, 75,209)( 31,130, 76,211)( 32,131, 77,212)
( 33,133, 78,214)( 34,132, 79,213)( 46, 54, 53, 48, 47)( 51, 52)
( 55,621, 62,615, 56,613, 63,620, 57,614)( 58,616)( 59,617)( 60,619)
( 61,618)( 82,567,233,354,119,721,180,440,102,317,163,522,152,399,200,
676, 99,485,183,272)( 83,559,234,359,120,722,172,441,107,318,164,514,
153,404,201,677, 91,486,188,273)( 84,560,226,360,125,723,173,433,108,
323,165,515,145,405,206,678, 92,478,189,278)( 85,562,229,355,121,724,
175,436,103,319,166,517,148,400,202,679, 94,481,184,274)
( 86,563,230,356,122,725,176,437,104,320,167,518,149,401,203,680, 95,
482,185,275)( 87,565,231,358,123,727,177,439,105,322,168,520,150,403,
204,682, 96,484,186,277)( 88,564,232,357,124,726,178,438,106,321,169,
519,151,402,205,681, 97,483,187,276)( 89,561,227,352,126,728,174,434,
100,324,170,516,146,397,207,683, 93,479,181,279)( 90,566,228,353,118,
729,179,435,101,316,171,521,147,398,199,684, 98,480,182,271)
(109,162,242,192,110,154,243,197,111,155,235,198,116,156,236,190,117,
161,237,191)(112,157,238,193)(113,158,239,194)(114,160,240,196)
(115,159,241,195)(136,648,224,597,137,640,225,602,138,641,217,603,143,
642,218,595,144,647,219,596)(139,643,220,598)(140,644,221,599)
(141,646,222,601)(142,645,223,600)(244,495,557,390,362,685,666,422,
426,263)(245,487,558,395,363,686,658,423,431,264)(246,488,550,396,
368,687,659,415,432,269)(247,490,553,391,364,688,661,418,427,265)
(248,491,554,392,365,689,662,419,428,266)(249,493,555,394,366,691,663,
421,429,268)(250,492,556,393,367,690,664,420,430,267)
(251,489,551,388,369,692,660,416,424,270)(252,494,552,389,361,693,665,
417,425,262)(253,414,512,309,326,523,720,341,444,668)
(254,406,513,314,327,524,712,342,449,669)(255,407,505,315,332,525,713,
334,450,674)(256,409,508,310,328,526,715,337,445,670)
(257,410,509,311,329,527,716,338,446,671)(258,412,510,313,330,529,717,
340,447,673)(259,411,511,312,331,528,718,339,448,672)
(260,408,506,307,333,530,714,335,442,675)(261,413,507,308,325,531,719,
336,443,667)(280,657,503,471,344)(281,649,504,476,345)
(282,650,496,477,350)(283,652,499,472,346)(284,653,500,473,347)
(285,655,501,475,348,286,654,502,474,349)(287,651,497,469,351)
(288,656,498,470,343)(298,576,548,633,380,604,711,584,462,587)
(299,568,549,638,381,605,703,585,467,588)(300,569,541,639,386,606,704,
577,468,593)(301,571,544,634,382,607,706,580,463,589)
(302,572,545,635,383,608,707,581,464,590)(303,574,546,637,384,610,708,
583,465,592)(304,573,547,636,385,609,709,582,466,591)
(305,570,542,631,387,611,705,578,460,594)(306,575,543,632,379,612,710,
579,461,586)(622,630,629,624,623)(627,628) ] ],
[ 17, 143354177519616000, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"Alt(9)^3.Sym(4)", [ "A", 9, 3 ],
[ ( 1,504,201, 50,580,390, 62,663,102, 28,497,444, 77,583,309, 8,666,183,
46,499,363, 59,582,147, 35,659,426, 73,502,282, 5,585,228, 53,661,
345, 55,501,120, 32,578,471, 80,664,264)( 2,423,237, 52,256,327, 63,
177,129, 31,335,462, 78, 97,273)( 3, 18,174, 48, 13,336, 57, 15, 93,
30, 11,417, 75, 16,255)( 4,342,219, 51, 94,354, 56,420,156, 34,254,
408, 81,178,291)( 6, 99,192, 47,418,399, 61,258, 84, 36,173,453, 76,
340,300)( 7,261,165, 54,175,372, 58,339,138, 33, 92,435, 74,421,318)
( 9,180,210, 49,337,381, 60, 96,111, 29,416,480, 79,259,246)
( 10,498, 39, 14,579, 66, 17,660, 21)( 19,496,525, 41,581,633, 71,665,
669)( 20,415,561, 43,257,570, 72,179,696, 22,334,543, 42, 95,597, 65,
422,723, 25,253,489, 45,176,615, 67,341,705, 24, 91,516, 38,419,642,
70,260,651, 27,172,534, 40,338,624, 69, 98,678)( 23,577,552, 44,662,
588, 64,503,687)( 26,658,507, 37,500,606, 68,584,714)
( 82,522,200,455,643,394,305,654,108,190,533,445,401,628,312, 89,684,
182,451,562,367,302,573,153,197,695,427,397,547,285, 86,603,227,458,
724,349,298,492,126,194,614,472,404,709,267)( 83,441,236,457,319,331,
306,168,135,193,371,463,402,142,276)( 85,360,218,456,157,358,299,411,
162,196,290,409,405,223,294)( 87,117,191,452,481,403,304,249, 90,198,
209,454,400,385,303)( 88,279,164,459,238,376,301,330,144,195,128,436,
398,466,321)(100,514,524,446,644,637,314,656,675,181,532,526,365,626,
636,152,683,668,424,559,529,284,572,639,233,701,670,343,541,528,122,
599,632,476,728,673,262,487,531,203,617,634,395,710,672)
(101,433,560,448,320,574,315,170,702,184,370,544,366,140,600,146,440,
722,430,316,493,288,167,621,229,377,706,348,136,519,119,437,641,475,
323,655,270,163,540,202,374,625,393,143,681)(103,352,542,447,158,601,
308,413,729,187,289,490,369,221,618,148,359,704,429,154,520,281,410,
648,232,296,652,351,217,537,121,356,623,474,161,682,263,406,567,205,
293,571,396,224,699)(104,595,551,449,725,592,307,494,693,185,613,553,
368,707,591,145,521,686,428,640,556,287,653,594,226,539,688,347,622,
555,125,680,587,469,566,691,266,568,558,206,698,589,388,548,690)
(105,109,515,443,482,646,313,251,657,189,208,535,364,383,627,150,116,
677,425,478,565,286,248,576,234,215,697,346,379,546,123,113,596,470,
485,727,268,244,495,207,212,616,391,386,708)(106,271,488,450,239,619,
310,332,711,186,127,517,362,464,645,151,278,650,432,235,538,283,329,
630,231,134,679,344,460,564,124,275,569,477,242,700,265,325,549,204,
131,598,389,467,726)(107,676,506,442,563,610,311,575,720,188,694,508,
361,545,609,149,602,713,431,721,511,280,491,612,230,620,715,350,703,
510,118,518,605,473,647,718,269,649,513,199,536,607,392,629,717)
(110,434,479,484,322,250,252,171,216,211,373,382,384,141,114)
(112,353,461,483,160,277,245,414,243,214,292,328,387,222,132)
(115,272,407,486,241,295,247,333,225,213,130,355,380,465,159)
(133,274,326,468,240)(137,438,155,439,317,412,324,169,297,166,378,220,
375,139,357)(505,523,527,608,635,638,719,674,667)(509,604,554,611,
716,593,712,512,685)(530,689,590,631,557,692,671,586,550),
( 1,648,214,712,606, 16,711,183, 28,576,241,694,633, 43,666,219, 19,
603,169,721,615, 70,693,174, 55,594,196,649,642, 52,720,201, 10,630,
187,676,570, 79,702,228, 37,585,223,667,597, 7,729,210, 64,612,178,
703,588, 34,657,237, 46,639,205,658,624, 25,684,165, 73,621,232,685,
579, 61,675,192)( 2,324,212,550,607,340,708,426, 35, 90,236,289,635,
529,661,381, 24,441,170,154,614,313,689,498, 58,351,195,406,647,133,
713,282, 14,549,184,352,573,484,701,147, 38,261,221,505,598,331,726,
453, 71,126,173,298,590,520,652,399, 51,477,206, 91,623,268,680,489,
76,378,231,442,584,142,668,273, 5,567,211,388,609,421,710,102, 29,
252,239,532,634,367,663,462, 26,117,164,316,617,556,688,336, 60,432,
197, 82,641,295,716,525, 13,387,186,433,575,160,695,309, 41,504,220,
343,600,412,728,129, 65,288,176,541,589,358,654,480, 53,153,200,253,
626,511,679,327, 78,459,233,118,578,304,671,516, 4,405,213,469,611,
97,704,264, 32,495,238,370,636,448,665,138, 20,279,167,559,616,394,
690,417, 62,108,191,244,644,538,715,363, 15,468,188,109,569,322,698,
552, 40,342,222,424,602, 88,722,291, 68,531,175,379,591,439,656,156,
47,315,203,496,625,349,681,408, 80,135,227,280,581,547,670,354, 6,
486,215,145,605,259,707,507, 31,333,240,451,638,124,659,300, 23,522,
166,397,618,475,692, 93, 56,270,194,487,643,376,717,444, 17,144,182,
271,572,565,697,390, 42,423,224,100,596,250,725,534, 67,369,177,460,
593,115,650,318, 50,558,202,334,627,430,683, 84, 74,297,230,523,580,
385,672,435, 8,162,209,307,608,502,706,345, 33,414,242,127,632,286,
662,543, 22,360,168,478,620,151,686,255, 59,513,193,325,645,457,719,
120, 11,306,185,514,571,403,699,471, 44, 99,218,262,599,493,724,372,
69,450,179,136,587,277,653,561, 49,396,204,415,629,106,677,246, 77,
540,229,361,582,466,674,111)( 3, 81,216,226,604,583,709,669, 30, 9,
243,208,631,610,664,705, 21, 36,171,235,613,637,691,660, 57, 27,198,
163,640,619,718,687, 12, 63,189,190,568,646,700,714, 39, 18,225,181,
595,574,727,696, 66, 45,180,217,586,601,655,723, 48, 72,207,172,622,
592,682,651, 75, 54,234,199,577,628,673,678)( 83,317,293,554,526,337,
384,429,440, 89,155,290,311,527,499,382,348,438,413,161,128,308,284,
500,544,346,357,411,485,134,146,281,257,545,508,355,330,483,458,152,
119,254,302,509,517,328,402,456,476,125, 92,299,266,518,490,400,375,
474,449, 98,137,263,275,491,562,373,393,447,422,143,101,272,248,563,
535,391,366,420,467,107,110,245,320,536,553,364,339,465,431,116)
( 85,398,294,473,530, 94,380,267,437,494,157,371,312,446,503,139,344,
276,410,566,130,389,285,419,548,103,353,249,482,539,148,362,258,464,
512,112,326,321,455,557,121,335,303,428,521)( 86,560,292,392,528,418,
386,105,434,251,158,533,310,365,501,463,350,114,407,323,131,551,283,
338,546,427,359, 87,479,296,149,524,256,383,510,436,332,159,452,314,
122,497,301,347,519,409,404,132,470,287, 95,542,265,356,492,481,377,
150,443,260,140,506,274,329,564,454,395,123,416,305,104,515,247,401,
537,472,368, 96,461,269,113,488,319,374,555,445,341,141,425,278) ] ],
[ 18, 286708355039232000, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"Sym(9) wreath Sym(3)", [ "A", 9, 3 ],
[ ( 1,594,517,316,581,463,308,374,448, 2,351,520, 73,585,544,307,617,445,
245,347,439, 74,342,547, 64,621,526,244,590,436,317,338,466, 65,378,
529)( 3,675,521,235,582,139,309,698,449,164,348,115, 75,666,548,226,
618,121,246,671,440,236,339,142, 66,702,530,163,591,112,318,662,467,
227,375,124)( 4,270,518,478,578,382,313, 50,450,488,343,601, 76,261,
545,469,614,364,250, 23,441,560,334,628, 67,297,527,406,587,355,322,
14,468,551,370,610)( 5,432,515,397,583, 58,315,536,442,569,346,277,
77,423,542,388,619, 40,252,509,433,641,337,304, 68,459,524,325,592,
31,324,500,460,632,373,286)( 6,108,516,721,584,220,312,131,444,650,
350,196, 78, 99,543,712,620,202,249,104,435,722,341,223, 69,135,525,
649,593,193,321, 95,462,713,377,205)( 7, 27,522,559,577,625,310,293,
446,407,344,358, 79, 18,549,550,613,607,247,266,437,479,335,385, 70,
54,531,487,586,598,319,257,464,470,371,367)( 8,189,519,154,579,706,
314,212,447, 83,345,682, 80,180,546,145,615,688,251,185,438,155,336,
709, 71,216,528, 82,588,679,323,176,465,146,372,691)( 9,513,514,640,
580,301,311,455,443,326,349, 34, 81,504,541,631,616,283,248,428,434,
398,340, 61, 72,540,523,568,589,274,320,419,461,389,376, 43)
( 10,630,553,289,608,409,263,356,484, 11,387,556, 46,612,490,262,599,
481,254,383,475, 47,369,493, 19,603,562,253,626,472,290,365,412, 20,
360,565)( 12,711,557,208,609, 85,264,680,485,173,384,151, 48,693,494,
181,600,157,255,707,476,209,366, 88, 21,684,566,172,627,148,291,689,
413,182,357,160)( 13,306,554,451,605,328,268, 32,486,497,379,637, 49,
288,491,424,596,400,259, 59,477,533,361,574, 22,279,563,415,623,391,
295, 41,414,506,352,646)( 15,144,552,694,611,166,267,113,480,659,386,
232, 51,126,489,667,602,238,258,140,471,695,368,169, 24,117,561,658,
629,229,294,122,408,668,359,241)( 16, 63,558,532,604,571,265,275,482,
416,380,394, 52, 45,495,505,595,643,256,302,473,452,362,331, 25, 36,
567,496,622,634,292,284,410,425,353,403)( 17,225,555,127,606,652,269,
194,483, 92,381,718, 53,207,492,100,597,724,260,221,474,128,363,655,
26,198,564, 91,624,715,296,203,411,101,354,727)( 28,648,499,298,635,
454,281,329,430, 29,405,502, 55,639,535,280,572,427,272,401,421, 56,
396,538, 37,576,508,271,644,418,299,392,457, 38,333,511)
( 30,729,503,217,636,130,282,653,431,191,402, 97, 57,720,539,199,573,
103,273,725,422,218,393,133, 39,657,512,190,645, 94,300,716,458,200,
330,106)( 33,162,498,703,638,211,285, 86,426,677,404,178, 60,153,534,
685,575,184,276,158,417,704,395,214, 42, 90,507,676,647,175,303,149,
453,686,332,187)( 35,243,501,136,633,697,287,167,429,110,399,664, 62,
234,537,118,570,670,278,239,420,137,390,700, 44,171,510,109,642,661,
305,230,456,119,327,673)( 84,669,683,242,177,141,147,696,692,170,186,
114,156,660,710,233,213,123)( 87,102,678,728,179,222,150,129,687,656,
188,195,159, 93,705,719,215,204)( 89,183,681,161,174,708,152,210,690)
( 96,138,714,701,206,168,105,111,723,665,224,231,132,120,651,674,197,
240)( 98,219,717,134,201,654,107,192,726)(116,237,663,143,228,699,
125,165,672), ( 1,620,463,488,601,302,505,116,319, 20,133,482)
( 2,619,464,487,602,301,506,115,320, 19,134,481)( 3,615,462,489,597,
300,507,111,318, 21,129,480)( 4,614,466,491,595,305,508,110,322, 23,
127,485)( 5,613,467,490,596,304,509,109,323, 22,128,484)
( 6,618,465,492,600,303,510,114,321, 24,132,483)( 7,617,460,494,598,
299,511,113,316, 26,130,479)( 8,616,461,493,599,298,512,112,317, 25,
131,478)( 9,621,468,495,603,306,513,117,324, 27,135,486)
( 10,377,418,326,583,383,496,359,256,344, 97,401)( 11,376,419,325,584,
382,497,358,257,343, 98,400)( 12,372,417,327,579,381,498,354,255,345,
93,399)( 13,371,421,329,577,386,499,353,259,347, 91,404)
( 14,370,422,328,578,385,500,352,260,346, 92,403)( 15,375,420,330,582,
384,501,357,258,348, 96,402)( 16,374,415,332,580,380,502,356,253,350,
94,398)( 17,373,416,331,581,379,503,355,254,349, 95,397)
( 18,378,423,333,585,387,504,360,261,351, 99,405)( 28,296,427, 83,646,
59,532,440,247,587,142,563)( 29,295,428, 82,647, 58,533,439,248,586,
143,562)( 30,291,426, 84,642, 57,534,435,246,588,138,561)
( 31,290,430, 86,640, 62,535,434,250,590,136,566)( 32,289,431, 85,641,
61,536,433,251,589,137,565)( 33,294,429, 87,645, 60,537,438,249,591,
141,564)( 34,293,424, 89,643, 56,538,437,244,593,139,560)
( 35,292,425, 88,644, 55,539,436,245,592,140,559)( 36,297,432, 90,648,
63,540,441,252,594,144,567)( 37,701,445,650,610,707,523,683,283,668,
124,725)( 38,700,446,649,611,706,524,682,284,667,125,724)
( 39,696,444,651,606,705,525,678,282,669,120,723)( 40,695,448,653,604,
710,526,677,286,671,118,728)( 41,694,449,652,605,709,527,676,287,670,
119,727)( 42,699,447,654,609,708,528,681,285,672,123,726)
( 43,698,442,656,607,704,529,680,280,674,121,722)( 44,697,443,655,608,
703,530,679,281,673,122,721)( 45,702,450,657,612,711,531,684,288,675,
126,729)( 46,458,409,569,628,545,514,278,265,101,160, 77)
( 47,457,410,568,629,544,515,277,266,100,161, 76)( 48,453,408,570,624,
543,516,273,264,102,156, 75)( 49,452,412,572,622,548,517,272,268,104,
154, 80)( 50,451,413,571,623,547,518,271,269,103,155, 79)
( 51,456,411,573,627,546,519,276,267,105,159, 78)( 52,455,406,575,625,
542,520,275,262,107,157, 74)( 53,454,407,574,626,541,521,274,263,106,
158, 73)( 54,459,414,576,630,549,522,279,270,108,162, 81)
( 64,215,472,164,637,221,550,197,310,182,151,239)( 65,214,473,163,638,
220,551,196,311,181,152,238)( 66,210,471,165,633,219,552,192,309,183,
147,237)( 67,209,475,167,631,224,553,191,313,185,145,242)
( 68,208,476,166,632,223,554,190,314,184,146,241)( 69,213,474,168,636,
222,555,195,312,186,150,240)( 70,212,469,170,634,218,556,194,307,188,
148,236)( 71,211,470,169,635,217,557,193,308,187,149,235)
( 72,216,477,171,639,225,558,198,315,189,153,243)(172,395,175,389,178,
392)(173,394,176,388,179,391)(174,390)(177,393)(180,396)
(199,719,202,713,205,716)(200,718,203,712,206,715)(201,714)(204,717)
(207,720)(226,233,229,227,232,230)(334,341,337,335,340,338)
(361,665,364,659,367,662)(362,664,365,658,368,661)(363,660)(366,663)
(369,666)(685,692,688,686,691,689) ] ],
[ 19, 384072192, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"PSL(2, 8) wreath Alt(3)", [ "L", [ 2, 8 ], 3 ],
[ ( 1,390,483,671,215,253,632,441, 5,372,321,668,197, 10,633,486,653,377,
258,587,198)( 2,354, 78,669,242,658,638,423,572,378,249,344,195, 19,
228,478,716,458,257,614,279)( 3,399,726,674,179,577,639,414,329,375,
267,182,190, 64,471,482,698,296,254,596, 36)( 4,381,159,670,224, 91,
634,468, 86,373,303,101,193, 55,147,481,707,134,256,623,117)
( 6,345,240,667,233,415,635,459,248,371,276, 20,192, 73,714,485,662,
620,261,569,360)( 7,363,564,673,206,496,637,450,491,376,285,506,196,
37,552,484,689,539,259,605,522)( 8,336,645,675,170,334,636,432,167,
370,312,425,194, 46,309,479,680, 53,255,641,684)( 9,327,402,672,188,
172,631,477,410,374,294,263,191, 28, 66,480,725,701,260,578,603)
( 11,597, 81,651,404,663,593,180,568,396,411,347,213,262,227,433, 68,
453,320,695,278)( 12,642,729,656,341,582,594,171,325,393,429,185,208,
307,470,437, 50,291,317,677, 35)( 13,624,162,652,386, 96,589,225, 82,
391,465,104,211,298,146,436, 59,129,319,704,116)( 14,615,324,650,359,
15,588,243,649,395,420,590,216,244,389,438, 23,210,316,713,440)
( 16,606,567,655,368,501,592,207,487,394,447,509,214,280,551,439, 41,
534,322,686,521)( 17,579,648,657,332,339,591,189,163,388,474,428,212,
289,308,434, 32, 48,318,722,683)( 18,570,405,654,350,177,586,234,406,
392,456,266,209,271, 65,435, 77,696,323,659,602)( 21,237,721,719,422,
581,621,252,326,357, 24,183,235,712,476,419,617,297,245,353, 33)
( 22,219,154,715,467, 95,616,306, 83,355, 60,102,238,703,152,418,626,
135,247,380,114)( 25,201,559,718,449,500,619,288,488,358, 42,507,241,
685,557,421,608,540,250,362,519)( 26,174,640,720,413,338,618,270,164,
352, 69,426,239,694,314,416,599, 54,246,398,681)( 27,165,397,717,431,
176,613,315,407,356, 51,264,236,676, 71,417,644,702,251,335,600)
( 29, 30, 75,723,728,665,584,585,576,333,330,348,186,181,226,469,473,
455,293,290,272)( 31, 57,156,724,710, 98,580,630, 90,328,384,105,184,
217,145,472,464,131,292,299,110)( 34, 39,561,727,692,503,583,612,495,
331,366,510,187,199,550,475,446,536,295,281,515)( 38,516, 79,687,566,
664,611,504,574,369,492,349,204,505,232,442,554,457,284,533,277)
( 40,543,160,688,548, 97,607,549, 88,364,546,106,202,541,151,445,545,
133,283,542,115)( 43,525,565,691,530,502,610,531,493,367,528,511,205,
523,556,448,527,538,286,524,520)( 44,498,646,693,494,340,609,513,169,
361,555,430,203,532,313,443,518, 52,282,560,682)( 45,489,403,690,512,
178,604,558,412,365,537,268,200,514, 70,444,563,700,287,497,601)
( 47,273, 74,678, 80,660,647,666,575,342,573,351,168,343,231,424,230,
451,311,452,275)( 49,300,155,679, 62, 93,643,711, 89,337,627,108,166,
379,150,427,221,127,310,461,113)( 56,111, 76,705,161,661,629, 99,571,
387, 87,346,222,100,229,460,149,454,302,128,274)( 58,138,157,706,143,
94,625,144, 85,382,141,103,220,136,148,463,140,130,301,137,112)
( 61,120,562,709,125,499,628,126,490,385,123,508,223,118,553,466,122,
535,304,119,517)( 63, 84,400,708,107,175,622,153,409,383,132,265,218,
109, 67,462,158,697,305, 92,598)( 72,408,401,699,269,173,595)
(121,544,142)(124,526,547),
( 1,104,364, 64,590,367, 73,428,369, 55,671,366, 10,509,368, 28,266,
362, 46,185,363)( 2,131,202, 66,572,124, 76,473,612, 61,725,447, 18,
545,692, 33,257,524, 53,194,282)( 3, 86,121, 67,635,610, 79,482,450,
63,707,690, 15,500,530, 35,275,281, 47,212,201)( 4,149,607, 70,644,
448, 81,464,693, 60,662,528, 17,518,287, 29,293,200, 48,167,120)
( 5,122, 40, 68,608, 43, 77,446, 45, 59,689, 42, 14,527, 44, 32,284,
38, 50,203, 39)( 6, 95,526, 71,599,286, 74,455,207, 57,653,123, 13,
554,611, 34,320,443, 54,221,687)( 7,158,445, 72,626,691, 78,419,531,
62,680,285, 11,536,206, 30,248,119, 49,230,606)( 8,113,283, 65,617,
205, 75,410,126, 58,716,609, 16,563,449, 36,302,686, 51,176,525)
( 9,140,688, 69,581,529, 80,437,288, 56,698,204, 12,491,125, 31,311,
605, 52,239,444)( 19,347,361)( 20,374,199, 21,329,118, 22,392,604,
25,401,442, 27,383,685, 24,338,523, 26,356,280)( 23,365, 37)
( 82,103,391,631,592,403,478,432,387,703,672,339,496,512,359,271,263,
371,208,183,327)( 83,130,229,633,574,160,481,477,630,709,726,420,504,
548,683,276,254,533,215,192,246)( 84, 85,148,634,637,646,484,486,468,
711,708,663,501,503,521,278,272,290,209,210,165)( 87, 94,553,638,601,
322,479,459,225,705,654, 96,499,557,602,277,317,452,216,219,651)
( 88,157,472,639,628,727,483,423,549,710,681,258,497,539,197,273,245,
128,211,228,570)( 89,112,310,632,619,241,480,414,144,706,717,582,502,
566,440,279,299,695,213,174,489)( 90,139,715,636,583,565,485,441,306,
704,699,177,498,494,116,274,308,614,214,237,408)( 91,508,395,595,268,
398,451,189,381,649,105,337,550,593,358,316,425,378,217,669,330)
( 92,535,233,597,250,155,454,234,624,655,159,418,558,629,682,321,416,
540,224,678,249)( 93,490,152,598,313,641,457,243,462,657,141,661,555,
584,520,323,434,297,218,696,168)( 97,562,476,603,304,722,456,180,543,
656,114,256,551,620,196,318,407,135,220,714,573)( 98,517,314,596,295,
236,453,171,138,652,150,580,556,647,439,324,461,702,222,660,492)
( 99,544,719,600,259,560,458,198,300,650,132,175,552,575,115,319,470,
621,223,723,411)(100,346,388,586,349,397,424,351,379,667,348,334,505,
350,352,262,344,370,181,345,325)(101,373,226,588,331,154,427,396,622,
673,402,415,513,386,676,267,335,532,188,354,244)(102,328,145,589,394,
640,430,405,460,675,384,658,510,341,514,269,353,289,182,372,163)
(106,400,469,594,385,721,429,342,541,674,357,253,506,377,190,264,326,
127,184,390,568)(107,355,307,587,376,235,426,333,136,670,393,577,511,
404,433,270,380,694,186,336,487)(108,382,712,591,340,559,431,360,298,
668,375,172,507,332,109,265,389,613,187,399,406)(110,292,227,615,169,
156,409,153,625,718,645,421,567,467,684,303,659,537,179,516,251)
(111,247,146,616,232,642,412,162,463,720,627,664,564,422,522,305,677,
294,173,534,170)(117,301,713,618,178,561,413)(129,166,147,571,151,
643,475,648,466,729,465,666,546,665,519,260,515,296,191,291,164)
(133,238,471,576,142,724,474,585,547,728,438,261,542,701,195,255,488,
134,193,309,569)(137,697,231,579,493,161,436,315,623,700,240,417,495,
143,679,312,578,538,242,435,252) ] ],
[ 20, 768144384, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"PSL(2, 8) wreath Sym(3)", [ "L", [ 2, 8 ], 3 ],
[ ( 1,481, 52,283, 71,589, 56,490, 75,130, 45,715, 23,220)( 2,562, 48,121,
72,670, 59,166, 73,454, 43,310, 26,625)( 3,157, 54,688, 68,184, 55,
409, 79,292, 44,634, 20,544)( 4, 76, 49, 40, 67, 22, 58)
( 5,238, 46,445, 70,265, 62,571, 74,535, 39,148, 27,706)
( 6,400, 51,364, 69,346, 60,328, 78,373, 42,391, 24,382)
( 7,319, 53,607, 65,508, 57, 85, 81,697, 41,229, 19,463)
( 8,643, 47,526, 66,103, 63,652, 77,211, 37,472, 25,301)
( 9,724, 50,202, 64,427, 61,247, 80,616, 38,553, 21,139)
( 10,418, 16,256, 17,580, 11,499, 12, 94, 18,661, 14,175)( 15,337)
( 28,436, 34,274, 35,598, 29,517, 30,112, 36,679, 32,193)( 33,355)
( 82,486,700,284,233,586,461,493,318,134,612,713,509,219)
( 83,567,696,122,234,667,464,169,316,458,610,308,512,624)
( 84,162,702,689,230,181,460,412,322,296,611,632,506,543)
( 86,243,694,446,232,262,467,574,317,539,606,146,513,705)
( 87,405,699,365,231,343,465,331,321,377,609,389,510,381)
( 88,324,701,608,227,505,462)( 89,648,695,527,228,100,468,655,320,215,
604,470,511,300)( 90,729,698,203,226,424,466,250,323,620,605,551,507,
138)( 91,423,664,257,179,577,416,502,255, 98,585,659,500,174)
( 92,504,660, 95,180,658,419,178,253,422,583,254,503,579)
( 93, 99,666,662,176,172,415,421,259,260,584,578,497,498)
( 96,342,663,338,177,334,420,340,258,341,582,335,501,336)
( 97,261,665,581,173,496,417)(101,549,651,158,216,685,473,187,298,413,
646,290,530,633)(102,144,657,725,212,199,469,430,304,251,647,614,524,
552)(104,225,649,482,214,280,476,592,299,494,642,128,531,714)
(105,387,654,401,213,361,474,349,303,332,645,371,528,390)
(106,306,656,644,209,523,471)(107,630,650,563,210,118,477,673,302,170,
640,452,529,309)(108,711,653,239,208,442,475,268,305,575,641,533,525,
147)(109,441,682,275,197,595,434,520,273,116,603,677,518,192)
(110,522,678,113,198,676,437,196,271,440,601,272,521,597)
(111,117,684,680,194,190,433,439,277,278,602,596,515,516)
(114,360,681,356,195,352,438,358,276,359,600,353,519,354)
(115,279,683,599,191,514,435)(119,558,669,140,171,721,455,205,307,431,
628,245,566,615)(120,153,675,707,167,235,451,448,313,269,629,569,560,
534)(123,396,672,383,168,397,456,367,312,350,627,326,564,372)
(124,315,674,626,164,559,453)(125,639,668,545,165,154,459,691,311,188,
622,407,565,291)(126,720,671,221,163,478,457,286,314,593,623,488,561,
129)(127,450,718,266,224,568,479,538,282,152,594,704,491,237)
(131,207,712,428,223,244,485,619,281,557,588,137,495,723)
(132,369,717,347,222,325,483,376,285,395,591,380,492,399)
(133,288,719,590,218,487,480)(135,693,716,185,217,406,484,295,287,638,
587,542,489,156)(136,414,727,293,206,631,425,547,246,161,621,686,554,
183)(141,333,726,374,204,388,429,385,249,404,618,362,555,345)
(142,252,728,617,200,550,426)(143,576,722,536,201,145,432,709,248,242,
613,443,556,264)(149,189,703,410,241,289,449,637,263,548,570,155,540,
687)(150,351,708,329,240,370,447,394,267,386,573,398,537,363)
(151,270,710,572,236,532,444)(159,378,690,392,186,379,411,403,294,368,
636,344,546,327)(160,297,692,635,182,541,408)(330,402,375,366,393,
348,384), ( 1,563,304,393,173,427,568,158,709, 69,497,265,325,239,
466,636, 92,670)( 2,509,298,402,178,472,569,104,703, 78,502,310,326,
185,460,645, 97,715)( 3,527,306,375,179,436,570,122,711, 51,503,274,
327,203,468,618, 98,679)( 4,491,302,384,177,418,571, 86,707, 60,501,
256,328,167,464,627, 96,661)( 5,545,303,339,175,409,572,140,708, 15,
499,247,329,221,465,582, 94,652)( 6,500,301,330,176,463,573, 95,706)
( 7,554,299,348,172,481,574,149,704, 24,496,319,331,230,461,591, 91,
724)( 8,518,300,366,180,454,575,113,705, 42,504,292,332,194,462,609,
99,697)( 9,536,305,357,174,445,576,131,710, 33,498,283,333,212,467,
600, 93,688)( 10,562,250,392,218,429,577,157,655, 68,542,267,334,238,
412,635,137,672)( 11,508,244,401,223,474,578,103,649, 77,547,312,335,
184,406,644,142,717)( 12,526,252,374,224,438,579,121,657, 50,548,276,
336,202,414,617,143,681)( 13,490,248,383,222,420,580, 85,653, 59,546,
258,337,166,410,626,141,663)( 14,544,249,338,220,411,581,139,654)
( 16,553,245,347,217,483,583,148,650, 23,541,321,340,229,407,590,136,
726)( 17,517,246,365,225,456,584,112,651, 41,549,294,341,193,408,608,
144,699)( 18,535,251,356,219,447,585,130,656, 32,543,285,342,211,413,
599,138,690)( 19,559,322,394,227,425,586,154,727, 70,551,263,343,235,
484,637,146,668)( 20,505,316,403,232,470,587,100,721, 79,556,308,344,
181,478,646,151,713)( 21,523,324,376,233,434,588,118,729, 52,557,272,
345,199,486,619,152,677)( 22,487,320,385,231,416,589, 82,725, 61,555,
254,346,163,482,628,150,659)( 25,550,317,349,226,479,592,145,722)
( 26,514,318,367,234,452,593,109,723, 43,558,290,350,190,480,610,153,
695)( 27,532,323,358,228,443,594,127,728, 34,552,281,351,208,485,601,
147,686)( 28,561,286,396,209,431,595,156,691, 72,533,269,352,237,448,
639,128,674)( 29,507,280,405,214,476,596,102,685, 81,538,314,353,183,
442,648,133,719)( 30,525,288,378,215,440,597,120,693, 54,539,278,354,
201,450,621,134,683)( 31,489,284,387,213,422,598, 84,689, 63,537,260,
355,165,446,630,132,665)( 35,516,282,369,216,458,602,111,687, 45,540,
296,359,192,444,612,135,701)( 36,534,287,360,210,449,603,129,692)
( 37,567,295,395,191,426,604,162,700, 71,515,264,361,243,457,638,110,
669)( 38,513,289,404,196,471,605,108,694, 80,520,309,362,189,451,647,
115,714)( 39,531,297,377,197,435,606,126,702, 53,521,273,363,207,459,
620,116,678)( 40,495,293,386,195,417,607, 90,698, 62,519,255,364,171,
455,629,114,660)( 44,522,291,368,198,453,611,117,696)
( 46,566,277,390,200,432,613,161,682, 66,524,270,370,242,439,633,119,
675)( 47,512,271,399,205,477,614,107,676, 75,529,315,371,188,433,642,
124,720)( 48,530,279,372,206,441,615,125,684)( 49,494,275,381,204,
423,616, 89,680, 57,528,261,373,170,437,624,123,666)( 55,564,259,391,
164,428,622,159,664, 67,488,266,379,240,421,634, 83,671)
( 56,510,253,400,169,473,623,105,658, 76,493,311,380,186,415,643, 88,
716)( 58,492,257,382,168,419,625, 87,662)( 64,560,268,388,236,430,
631,155,673)( 65,506,262,397,241,475,632,101,667, 73,565,313,389,182,
424,640,160,718)( 74,511,307,398,187,469,641,106,712) ] ],
[ 21, 1152216576, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"PSL(2, 8)^3.3^2", [ "L", [ 2, 8 ], 3 ],
[ ( 1, 42,681,273,260,350,509,559,118,691,696,417,342,392,239,155,142,619,
454,414, 72,231,191,299,629,589,490)( 2, 60,600,274,251, 26,510,514,
280,692,669,498,334,365,725,156, 97,376,455,486,153,232,209,461,630,
634,166)( 3, 15,357,275,323,107,511,532,442,693,714,174,335,383,644,
157, 88, 52,456,441,315,233,182,542,622,607,652)( 4, 6, 33,276,278,
269,512,505,523,685,687,660,336,338,401,158,160,133,457,459,477,234,
227,218,623,625,571)( 5, 78,114,277,296,431,513,550,199,686,705,579,
337,329, 77,159,115,295,458,432,558,226,200,704,624,580,328)
( 7, 51,438,279,314,188,506,541,604,688,651, 12,339,356,320,161,106,
538,451,450,720,228,173,380,626,643, 85)( 8, 24,519,271,287,674,507,
496,361,689,723, 93,340,374,482,162,151,214,452,468,639,229,164, 56,
627,598,247)( 9, 69,195,272,305,593,508,487, 37,690,678,255,341,347,
563,154,124,700,453,423,396,230,236,137,628,616,409)( 10,366,680,318,
98,349,536,478,126,718,210,416,387,635,238, 83, 61,618,436,252, 71,
186,515,298,611,670,489)( 11,384,599,319, 89, 25,537,433,288,719,183,
497,379,608,724, 84, 16,375,437,324,152,187,533,460,612,715,165)
( 13,330, 32,321,116,268,539,424,531,712,201,659,381,581,400, 86, 79,
132,439,297,476,189,551,217,605,706,570)( 14,402,113,322,134,430,540,
469,207,713,219,578,382,572, 76, 87, 34,294,440,270,557,181,524,703,
606,661,327)( 17,348,518,316,125,673,534,415,369,716,237, 92,385,617,
481, 90, 70,213,434,306,638,184,488, 55,609,679,246)( 18,393,194,317,
143,592,535,406, 45,717,192,254,386,590,562, 82, 43,699,435,261,395,
185,560,136,610,697,408)( 19,528,676,282,665,345,500,397,122,727,129,
421,378,473,243,146,223,614,463,576, 67,168, 29,303,602,265,494)
( 20,546,595,283,656, 21,501,352,284,728,102,502,370,446,729,147,178,
371,464,648,148,169, 47,465,603,310,170)( 22,492, 28,285,683,264,503,
343,527,721,120,664,372,419,405,149,241,128,466,621,472,171, 65,222,
596,301,575)( 23,564,109,286,701,426,504,388,203,722,138,583,373,410,
81,150,196,290,467,594,553,163, 38,708,597,256,332)( 27,555,190,281,
710,588,499,325, 41,726,111,259,377,428,567,145,205,695,462,585,391,
167, 74,141,601,292,413)( 30,258,359,266,566,100,529,694,444,666,390,
176,398,140,646,130,412, 54,474,198,308,224,587,544,568, 40,654)
( 31,249, 35,267,521,262,530,667,525,658,363,662,399, 95,403,131,484,
135,475,216,470,225,632,220,569, 58,573)( 36,312,197,263,548,586,526,
649, 39,663,354,257,404,104,565,127,448,702,471,180,389,221,641,139,
574, 49,411)( 44,672,516,253,368,671,561, 91,367,698,480, 99,394,212,
479,144,637,211,407, 63,636,193,245, 62,591,517,244)( 46,447,684,309,
179,344,545,640,121,655, 48,420,360,311,242,101,547,613,445,657, 66,
177,353,302,647,103,493)( 50,483,117,313,215,425,549,631,202,650, 57,
582,355,248, 80,105,520,289,449,675,552,172,362,707,642, 94,331)
( 53,429,522,307,206,668,543,577,364,653, 75, 96,358,293,485,108,556,
208,443,711,633,175,326, 59,645,112,250)( 64,204,677,300,584,346,491,
73,123,682,291,422,351,554,235,119,709,615,418,333, 68,240,110,304,
620,427,495), ( 1,591,385,479,558,283, 95)( 2,636,304,482,495,607,
97, 73,510,382,416, 72,285,140,406,594,367,155,550,265,338)
( 3,600,709,480,522,688, 93, 28,672,381,434,720,282,113,649,588,358,
722,552,274,662)( 4,582, 61,483,549,445, 99, 37,105,379,425,396,281,
149,244,590,331,641,556,319,500)( 5,573,628,484,567,526, 94, 10, 24,
384,461,477,288,122, 82,586,349,398,551,310,257)( 6,627,466,486,531,
121, 91, 19,348,380,470,315,284, 86,568,592,403,560,553,256, 14)
( 7,645,547,481,504, 40, 96, 55,429,387,443,153,280,104,325,587,394,
317,554,247,581)( 8,618,223,485,540,202, 98, 46,186,386,452,234,287,
131,163,593,376,236,557,292,176)( 9,609,142,478,513,364, 92, 64,267,
383,407,639,286,158,487,589,340, 74,555,301,419)( 11, 69,303,464,414,
612,124,154,505,346,335, 65,312,302,410,576,610,160,559,508,337)
( 12, 33,708,462,441,693,120,109,667,345,353,713,309,275,653,570,601,
727,561,517,661)( 13, 15, 60,465,468,450,126,118,100,343,344,389,308,
311,248,572,574,646,565,562,499)( 16, 78,546,463,423, 45,123,136,424,
351,362,146,307,266,329,569,637,322,563,490,580)( 17, 51,222,467,459,
207,125,127,181,350,371,227,314,293,167,575,619,241,566,535,175)
( 18, 42,141,460,432,369,119,145,262,347,326,632,313,320,491,571,583,
79,564,544,418)( 20,393,299,473,252,608, 88,640,511,400,497, 67,258,
59,411,630,448,162,523,103,334)( 21,357,704,471,279,689, 84,595,673,
399,515,715,255, 32,654,624,439,729,525,112,658)( 22,339, 56,474,306,
446, 90,604,106,397,506,391,254, 68,249,626,412,648,529,157,496)
( 23,330,623,475,324,527, 85,577, 25,402,542,472,261, 41, 87,622,430,
405,524,148,253)( 26,375,218,476,297,203, 89,613,187,404,533,229,260,
50,168,629,457,243,530,130,172)( 27,366,137,469,270,365, 83,631,268,
401,488,634,259, 77,492,625,421, 81,528,139,415)( 29,717,300,437,657,
606,115,721,507,355,659, 66,276,707,408,603,691,156,514,670,336)
( 30,681,705,435,684,687,111,676,669,354,677,714,273,680,651,597,682,
723,516,679,660)( 31,663, 57,438,711,444,117,685,102,352,668,390,272,
716,246,599,655,642,520,724,498)( 34,726,543,436,666, 39,114,703,426,
360,686,147,271,671,327,596,718,318,518,652,579)( 35,699,219,440,702,
201,116,694,183,359,695,228,278,698,165,602,700,237,521,697,174)
( 36,690,138,433,675,363,110,712,264,356,650,633,277,725,489,598,664,
75,519,706,417)( 38,150,298,428,333,605,151,316,509,328,578, 70,321,
545,409,585, 43,159,541,427,342)( 44,132,217,431,378,200,152,289,185,
332,614,232,323,536,166,584, 52,240,548,454,180)( 47,231,305,455,171,
611,133,235,512,373,173, 71,294,221,413,621,205,161,532,184,341)
( 48,195,710,453,198,692,129,190,674,372,191,719,291,194,656,615,196,
728,534,193,665)( 49,177, 62,456,225,449,135,199,107,370,182,395,290,
230,251,617,169,647,538,238,503)( 53,213,224,458,216,206,134,208,188,
377,209,233,296,212,170,620,214,242,539,211,179)( 54,204,143,451,189,
368,128,226,269,374,164,638,295,239,494,616,178, 80,537,220,422)
( 58,420, 63,447,144,442,108,361,101,388,263,392,245,635,250,644,493,
643,502, 76,501)(192,683,696)(197,701,210) ] ],
[ 22, 1152216576, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"PSL(2, 8)^3.9", [ "L", [ 2, 8 ], 3 ],
[ ( 1,635,143,333,284,114, 4,554,107,331,203,159, 3,473, 98,326,689,132)
( 2,716,134,325,608,141, 9,311,116,328,527,105, 7,230,161,327,446,
96)( 5,149, 89,329,122, 87)( 6, 68,152,332,365,123)
( 8,392,125,330, 41,150)( 10,632,710,378,280,600, 58,558,269,358,202,
564, 21,475,179,398,687,456)( 11,713,701,370,604,627, 63,315,278,355,
526,510, 25,232,242,399,444,420)( 12,470,665,371,685,618, 55,639,305,
360,283,519, 22,556,188,403,201,483)( 13,551,674,376,199,645, 57,477,
260,353,688,537, 19,637,224,405,282,438)( 14,146,656,374,118,573, 59,
153,251,356,121,492, 23,151,170,401,120,411)( 15, 65,719,377,361,609,
60, 72,314,359,364,528, 24, 70,233,404,363,447)( 16,227,728,372,442,
582, 56,720,296,352,607,546, 27,313,197,400,525,429)( 17,389,692,375,
37,636, 62,396,287,357, 40,555, 26,394,206,402, 39,474)
( 18,308,683,373,523,591, 61,234,323,354,445,501, 20,718,215,397,606,
465)( 28,634,548,351,286,195, 76,552,431,340,200,726, 48,469,584,380,
693,294)( 29,715,539,343,610,222, 81,309,440,337,524,672, 52,226,647,
381,450,258)( 30,472,503,344,691,213, 73,633,467,342,281,681, 49,550,
593,385,207,321)( 31,553,512,349,205,240, 75,471,422,335,686,699, 46,
631,629,387,288,276)( 32,148,494,347,124,168, 77,147,413,338,119,654,
50,145,575,383,126,249)( 33, 67,557,350,367,204, 78, 66,476,341,362,
690, 51, 64,638,386,369,285)( 34,229,566,345,448,177, 74,714,458,334,
605,708, 54,307,602,382,531,267)( 35,391,530,348, 43,231, 80,390,449,
339, 38,717, 53,388,611,384, 45,312)( 36,310,521,346,529,186, 79,228,
485,336,443,663, 47,712,620,379,612,303)( 42, 69, 71,395,368,366)
( 44,393)( 82,572,140, 90,248,113, 85,491,104, 88,167,158, 84,410, 95,
83,653,131)( 91,569,707,135,244,599,139,495,266,115,166,563,102,412,
176,155,651,455)( 92,650,698,127,568,626,144,252,275,112,490,509,106,
169,239,156,408,419)( 93,407,662,128,649,617,136,576,302,117,247,518,
103,493,185,160,165,482)( 94,488,671,133,163,644,138,414,257,110,652,
536,100,574,221,162,246,437)( 97,164,725,129,406,581,137,657,293,109,
571,545,108,250,194,157,489,428)( 99,245,680,130,487,590,142,171,320,
111,409,500,101,655,212,154,570,464)(172,641,705,459,253,596,706,540,
262,601,220,567,264,439,175,560,669,457)(173,722,696,451,577,623,711,
297,271,598,544,513,268,196,238,561,426,421)(174,479,660,452,658,614,
703,621,298,603,301,522,265,520,184,565,183,484)(178,236,723,453,415,
578,704,702,289,595,625,549,270,277,193,562,507,430)(180,317,678,454,
496,587,709,216,316,597,463,504,263,682,211,559,588,466)
(181,646,219,486,255,434,661,533,667,619,217,648,300,441,256,515,670,
538)(182,727,210,478,579,461,666,290,676,616,541,594,304,198,319,516,
427,502)(187,241,237,480,417,416,659,695,694,613,622,630,306,279,274,
517,508,511)(189,322,192,481,498,425,664,209,721,615,460,585,299,684,
292,514,589,547)(190,643,543,432,259,191,724,534,424,583,218,729,291,
433,580,542,675,295)(208,640,624,468,261,272,679,535,505,592,223,243,
318,435,418,497,668,700)(214,235,642,462,423,254,677,697,532,586,628,
225,324,273,436,499,506,673),
( 1,377,569,130,412,536,654, 48,333,613, 89,452,490,700, 5,375,570,
135,406,539,650, 49,331,617, 87,453,495,694, 8,371,571,133,410,537,
651, 54,325,620, 83,454,493,698, 6,372,576,127,413,533,652, 52,329,
618, 84,459,487,701, 2,373,574,131,411,534,657, 46,332,614, 85,457,
491,699, 3,378,568,134,407,535,655, 50,330,615, 90,451,494,695, 4,
376,572,132,408,540,649, 53,326,616, 88,455,492,696, 9,370,575,128,
409,538,653, 51,327,621, 82,458,488,697, 7,374,573,129,414,532,656,
47,328,619, 86,456,489,702)( 10,341,578, 94,421,500,663, 12,342,577,
98,416,499,664, 14,339,579, 99,415,503,659, 13,340,581, 96,417,504,
658, 17,335,580, 97,419,501,660, 18,334,584, 92,418,502,662, 15,336,
585, 91,422,497,661, 16,338,582, 93,423,496,665, 11,337,583, 95,420,
498,666)( 19,386,587,139,430,545,672, 57,351,622,107,461,508,709, 23,
384,588,144,424,548,668, 58,349,626,105,462,513,703, 26,380,589,142,
428,546,669, 63,343,629,101,463,511,707, 24,381,594,136,431,542,670,
61,347,627,102,468,505,710, 20,382,592,140,429,543,675, 55,350,623,
103,466,509,708, 21,387,586,143,425,544,673, 59,348,624,108,460,512,
704, 22,385,590,141,426,549,667, 62,344,625,106,464,510,705, 27,379,
593,137,427,547,671, 60,345,630,100,467,506,706, 25,383,591,138,432,
541,674, 56,346,628,104,465,507,711)( 28,368,596,121,439,527,681, 39,
360,604,116,443,517,691, 32,366,597,126,433,530,677, 40,358,608,114,
444,522,685, 35,362,598,124,437,528,678, 45,352,611,110,445,520,689,
33,363,603,118,440,524,679, 43,356,609,111,450,514,692, 29,364,601,
122,438,525,684, 37,359,605,112,448,518,690, 30,369,595,125,434,526,
682, 41,357,606,117,442,521,686, 31,367,599,123,435,531,676, 44,353,
607,115,446,519,687, 36,361,602,119,436,529,680, 42,354,612,109,449,
515,688, 34,365,600,120,441,523,683, 38,355,610,113,447,516,693)
( 64,404,632,157,475,563,717, 75,396,640,152,479,553,727, 68,402,633,
162,469,566,713, 76,394,644,150,480,558,721, 71,398,634,160,473,564,
714, 81,388,647,146,481,556,725, 69,399,639,154,476,560,715, 79,392,
645,147,486,550,728, 65,400,637,158,474,561,720, 73,395,641,148,484,
554,726, 66,405,631,161,470,562,718, 77,393,642,153,478,557,722, 67,
403,635,159,471,567,712, 80,389,643,151,482,555,723, 72,397,638,155,
472,565,716, 78,390,648,145,485,551,724, 70,401,636,156,477,559,719,
74,391,646,149,483,552,729)(163,215,164,211,169,212,168,210,171,208,
170,209,166,214,167,213,165,216)(172,179,173,175,178,176,177,174,180)
(181,224,182,220,187,221,186,219,189,217,188,218,184,223,185,222,183,
225)(190,206,191,202,196,203,195,201,198,199,197,200,193,205,194,204,
192,207)(226,242,227,238,232,239,231,237,234,235,233,236,229,241,230,
240,228,243)(244,296,245,292,250,293,249,291,252,289,251,290,247,295,
248,294,246,297)(253,260,254,256,259,257,258,255,261)
(262,305,263,301,268,302,267,300,270,298,269,299,265,304,266,303,264,
306)(271,287,272,283,277,284,276,282,279,280,278,281,274,286,275,285,
273,288)(307,323,308,319,313,320,312,318,315,316,314,317,310,322,311,
321,309,324) ] ],
[ 23, 2304433152, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"PSL(2, 9)^3.(3 x Sym(3))", [ "L", [ 2, 8 ], 3 ],
[ ( 1,200, 6,227, 9,236, 5,173, 4,191, 7,209)( 2,164)( 3,182, 8,218
)( 10,202, 33,232, 54,235, 41,177, 67,198, 79,212)( 11,166, 29,169,
47,163, 38,168, 65,171, 74,167)( 12,184, 35,223, 48,181, 44,222, 66,
189, 80,221)( 13,193, 34,214, 46,199, 42,231, 72,243, 77,176)
( 14,175, 31,196, 52,208, 37,204, 69,234, 81,239)( 15,229, 36,241, 50,
172, 40,195, 70,216, 73,203)( 16,211, 28,205, 51,226, 45,240, 68,180,
76,194)( 17,220, 30,187, 53,217, 39,186, 71,225, 75,185)
( 18,238, 32,178, 49,190, 43,213, 64,207, 78,230)( 19,206, 60,228, 27,
242, 59,174, 22,197, 61,210)( 20,170, 56,165)( 21,188, 62,219)
( 23,179, 58,192, 25,215, 55,201, 24,233, 63,237)( 26,224, 57,183)
( 82,524,411,389,252,641, 86,497,409,353,250,614)( 83,488,407,326,245,
569)( 84,506,413,380,246,587, 89,542,408,344,251,623)
( 85,515,412,371,244,605, 87,551,414,398,248,578)( 88,533,406,362,249,
632, 90,560,410,335,247,596)( 91,526,438,394,297,640,122,501,472,360,
322,617)( 92,490,434,331,290,568,119,492,470,333,317,572)
( 93,508,440,385,291,586,125,546,471,351,323,626)( 94,517,439,376,289,
604,123,555,477,405,320,581)( 95,499,436,358,295,613,118,528,474,396,
324,644)( 96,553,441,403,293,577,121,519,475,378,316,608)
( 97,535,433,367,294,631,126,564,473,342,319,599)( 98,544,435,349,296,
622,120,510,476,387,318,590)( 99,562,437,340,292,595,124,537,469,369,
321,635)(100,530,465,390,270,647,140,498,427,359,304,615)
(101,494,461,327,263,575,137,489,425,332,299,570)(102,512,467,381,264,
593,143,543,426,350,305,624)(103,521,466,372,262,611,141,552,432,404,
302,579)(104,503,463,354,268,620,136,525,429,395,306,642)
(105,557,468,399,266,584,139,516,430,377,298,606)(106,539,460,363,267,
638,144,561,428,341,301,597)(107,548,462,345,269,629,138,507,431,386,
300,588)(108,566,464,336,265,602,142,534,424,368,303,633)
(109,529,456,388,288,645,149,504,481,356,259,616)(110,493,452,325,281,
573,146,495,479,329,254,571)(111,511,458,379,282,591,152,549,480,347,
260,625)(112,520,457,370,280,609,150,558,486,401,257,580)
(113,502,454,352,286,618,145,531,483,392,261,643)(114,556,459,397,284,
582,148,522,484,374,253,607)(115,538,451,361,285,636,153,567,482,338,
256,598)(116,547,453,343,287,627,147,513,485,383,255,589)
(117,565,455,334,283,600,151,540,478,365,258,634)(127,523,447,393,315,
648,158,500,418,355,277,619)(128,487,443,330,308,576,155,491,416,328,
272,574)(129,505,449,384,309,594,161,545,417,346,278,628)
(130,514,448,375,307,612,159,554,423,400,275,583)(131,496,445,357,313,
621,154,527,420,391,279,646)(132,550,450,402,311,585,157,518,421,373,
271,610)(133,532,442,366,312,639,162,563,419,337,274,601)
(134,541,444,348,314,630,156,509,422,382,273,592)(135,559,446,339,310,
603,160,536,415,364,276,637)(649,686,654,713,657,722,653,659,652,677,
655,695)(651,668,656,704)(658,688,681,718,702,721,689,663,715,684,
727,698)(660,670,683,709,696,667,692,708,714,675,728,707)
(661,679,682,700,694,685,690,717,720,729,725,662)(664,697,676,691,699,
712,693,726,716,666,724,680)(665,706,678,673,701,703,687,672,719,711,
723,671)(669,674,710,705), ( 1,352,369,687,453,475,634,157, 83)
( 2, 28,360,693,696,457,637,643,155)( 3,433,396,688,129,412,631,400,
119)( 4,109,333,685,372,448,633,481,146)( 5,514,387,690,210,430,
638,319, 92)( 6,190,351,692,291,421,635,562,137)( 7,595,405,686,
48,439,639,724,128)( 8,271,342,689,534,466,636,238,101)
( 9,676,378,691,615,484,632, 76,110)( 10,356,531,705,456,232,589,161,
245)( 11, 32,522,711,699,214,592,647,317)( 12,437,558,706,132,169,
586,404,281)( 13,113,495,703,375,205,588,485,308)( 14,518,549,708,
213,187,593,323,254)( 15,194,513,710,294,178,590,566,299)
( 16,599,567,704, 51,196,594,728,290)( 17,275,504,707,537,223,591,242,
263)( 18,680,540,709,618,241,587, 80,272)( 19,359,288,660,455,556,
625,159,164)( 20, 35,279,666,698,538,628,645,236)( 21,440,315,661,
131,493,622,402,200)( 22,116,252,658,374,529,624,483,227)
( 23,521,306,663,212,511,629,321,173)( 24,197,270,665,293,502,626,564,
218)( 25,602,324,659, 50,520,630,726,209)( 26,278,261,662,536,547,
627,240,182)( 27,683,297,664,617,565,623, 78,191)( 29, 36,684,702,
700,619,646,641, 74)( 30,441,720,697,133,574,640,398, 38)
( 31,117,657,694,376,610,642,479, 65)( 33,198,675,701,295,583,644,560,
56)( 34,603,729,695, 52,601,648,722, 47)( 37,354,450,714,454,151,571,
154,326)( 39,435,477,715,130, 88,568,397,362)( 40,111,414,712,373,
124,570,478,389)( 41,516,468,717,211,106,575,316,335)
( 42,192,432,719,292, 97,572,559,380)( 43,597,486,713, 49,115,576,721,
371)( 44,273,423,716,535,142,573,235,344)( 45,678,459,718,616,160,
569, 73,353)( 46,358,612,723,452, 70,598,162,650)( 53,277,585,725,
533, 61,600,243,668)( 54,682,621,727,614, 79,596, 81,677)
( 55,357,207,669,458,313,580,158,488)( 57,438,234,670,134,250,577,401,
524)( 58,114,171,667,377,286,579,482,551)( 59,519,225,672,215,268,
584,320,497)( 60,195,189,674,296,259,581,563,542)( 62,276,180,671,
539,304,582,239,506)( 63,681,216,673,620,322,578, 77,515)
( 64,355,126,651,451,394,607,156,407)( 66,436,153,652,127,331,604,399,
443)( 67,112, 90,649,370,367,606,480,470)( 68,517,144,654,208,349,
611,318,416)( 69,193,108,656,289,340,608,561,461)( 71,274, 99,653,
532,385,609,237,425)( 72,679,135,655,613,403,605, 75,434)
( 82,325,361,363,444,471,472,148, 85)( 84,406,388,364,120,408,469,391,
121)( 86,487,379,366,201,426,476,310, 94)( 87,163,343,368,282,417,
473,553,139)( 89,244,334,365,525,462,474,229,103)( 91,329,523,381,
447,228,427,152,247)( 93,410,550,382,123,165,424,395,283)
( 95,491,541,384,204,183,431,314,256)( 96,167,505,386,285,174,428,557,
301)( 98,248,496,383,528,219,429,233,265)(100,332,280,336,446,552,
463,150,166)(102,413,307,337,122,489,460,393,202)(104,494,298,339,
203,507,467,312,175)(105,170,262,341,284,498,464,555,220)
(107,251,253,338,527,543,465,231,184)(118,327,442,390,445,147,409,145,
328)(125,246,415,392,526,138,411,226,346)(136,330,199,345,449,309,
418,149,490)(140,492,217,348,206,264,422,311,499)(141,168,181,350,
287,255,419,554,544)(143,249,172,347,530,300,420,230,508)
(176,509,548,303,177,185,512,305,258)(179,266,503,302,501,221,510,224,
267)(186,188,269,260,257,500,545,546,222) ] ],
[ 24, 3456649728, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"PSL(2, 8)^3.3^2:3", [ "L", [ 2, 8 ], 3 ],
[ ( 1,660,569,672,524, 26,543, 89,706,146,427,554,485,302,160,274,232,441,
212,405,289,340,595,177,612, 51,363)( 2,669,488,674,542,107,544,152,
463,149,481,311,484,275,241,279,214,360,208,342,613,339,604, 15,606,
6,687)( 3,651,650,668,506,512,548,143,139,148,472,473,482,320,322,
277,196,198,216,378,370,334,577,582,609, 42, 39)( 4,714,407,671,560,
269,547,116,220,153,454,392,478,257,646,276,205, 36,210,333,694,335,
586,501,611, 60,120)( 5,723,245,673,515,188,549,134,382,145,418,635,
483,284, 79,273,169,684,209,351,532,341,622, 96,607, 69,444)
( 7,678,164,675,533,350,541, 98,625,150,445, 68,480,248,727,272,187,
522,215,387,127,337,631,420,608, 78,282)( 8,705, 83,670,551,431,545,
161,301,151,436,230,486,293,403,271,178,603,213,369, 46,336,568,663,
605, 24,525)( 9,696,326,667,497,593,546,125, 58,147,409,716,479,266,
565,278,223,117,211,396,451,338,640,258,610, 33,201)( 10,579,573,690,
38, 21,489,656,704,101,508,557,467,140,157,310,475,437,239,324,295,
358,190,180,621,375,361)( 11,588,492,692, 56,102,490,719,461,104,562,
314,466,113,238,315,457,356,235,261,619,357,199, 18,615,330,685)
( 12,570,654,686, 20,507,494,710,137,103,553,476,464,158,319,313,439,
194,243,297,376,352,172,585,618,366, 37)( 13,633,411,689, 74,264,493,
683,218,108,535,395,460, 95,643,312,448, 32,237,252,700,353,181,504,
620,384,118)( 14,642,249,691, 29,183,495,701,380,100,499,638,465,122,
76,309,412,680,236,270,538,359,217, 99,616,393,442)( 16,597,168,693,
47,345,487,665,623,105,526, 71,462, 86,724,308,430,518,242,306,133,
355,226,423,617,402,280)( 17,624, 87,688, 65,426,491,728,299,106,517,
233,468,131,400,307,421,599,240,288, 52,354,163,666,614,348,523)
( 19,498,575,708,119, 22,552,413,707,155,265,556,440,221,162,292,394,
433,176,648,294,367, 28,174,576,699,362)( 23,561,251,709,110,184,558,
458,383,154,256,637,438,203, 81,291,331,676,173,594,537,368, 55, 93,
571,717,443)( 25,516,170,711,128,346,550,422,626,159,283, 70,435,167,
729,290,349,514,179,630,132,364, 64,417,572,726,281)( 27,534,332,703,
92,589,555,449, 59,156,247,718,434,185,567,296,385,109,175,639,456,
365, 73,255,574,681,200)( 30,165,657,695,344,505,503,629,141,121, 67,
471,410,725,317,268,520,197,225,135,373,388,415,581,645,285, 43)
( 31,228,414,698,398,262,502,602,222,126, 49,390,406,662,641,267,529,
35,219, 90,697,389,424,500,647,303,124)( 34,192,171,702,371,343,496,
584,627,123, 40, 66,408,653,722,263,511,521,224,144,130,391,469,419,
644,321,286)( 41, 75,246,655,677,182,513,539,386,136, 94,634,474,446,
77,318,250,682,191,189,540,377,379, 91,580,636,447)( 44, 57, 84,652,
713,425,509,566,305,142,112,229,477,455,401,316,259,601,195,207, 54,
372,325,658,578,591,528)( 45, 48,327,649,659,587,510,530, 62,138, 85,
715,470,428,563,323,304,115,193,234,459,374,397,253,583,600,204)
( 50,399,244,664,596,186,531, 53,381, 82,661,632,429,527, 80,300, 88,
679,227,432,536,404,298, 97,598,231,450)( 61,111,166,720,452,347,559,
260,628,114,202, 72,453,329,721,254,592,519,206, 63,129,328,712,416,
590,564,287), ( 1, 28,514,521,566,242,238,166, 4)( 2, 37,109,519,
548,647,241,211,409)( 3, 19,352,522,557,728,239,175,247)
( 5, 10,271,516,512,404,243,229,652)( 6, 55,595,520,539,485,236,202,
85)( 7, 46,433,515,530,161,240,220,571)( 8, 73,190,517,494, 80,235,
193,490)( 9, 64,676,518,503,323,237,184,328)( 11,280,111,510,386,
648,232,697,410)( 12,262,354,513,395,729,230,661,248)
( 13,244, 30,505,359,567,233,724,167)( 14,253,273,507,350,405,234,715,
653)( 15,298,597,511,377,486,227,688, 86)( 16,289,435,506,368,162,
231,706,572)( 17,316,192,508,332, 81,226,679,491)( 18,307,678,509,
341,324,228,670,329)( 20,361,117,555,710,644,178,292,408)
( 21,343,360,558,719,725,176,256,246)( 22,325, 36,550,683,563,179,319,
165)( 23,334,279,552,674,401,180,310,651)( 24,379,603,556,701,482,
173,283, 84)( 25,370,441,551,692,158,177,301,570)( 26,397,198,553,
656, 77,172,274,489)( 27,388,684,554,665,320,174,265,327)
( 29,523,116,564,224,643,169, 49,406)( 31,487, 35,559,197,562,170, 76,
163)( 32,496,278,561,188,400,171, 67,649)( 33,541,602,565,215,481,
164, 40, 82)( 34,532,440,560,206,157,168, 58,568)( 38,118,114,546,
629,646,214,454,407)( 39,100,357,549,638,727,212,418,245)
( 41, 91,276,543,593,403,216,472,650)( 42,136,600,547,620,484,209,445,
83)( 43,127,438,542,611,160,213,463,569)( 44,154,195,544,575, 79,208,
436,488)( 45,145,681,545,584,322,210,427,326)( 47,442,110,528,143,
645,223,616,412)( 48,424,353,531,152,726,221,580,250)
( 50,415,272,525,107,402,225,634,655)( 51,460,596,529,134,483,218,607,
88)( 52,451,434,524,125,159,222,625,574)( 53,478,191,526, 89, 78,217,
598,493)( 54,469,677,527, 98,321,219,589,331)( 56,604,115,537,467,
641,205,130,411)( 57,586,358,540,476,722,203, 94,249)
( 59,577,277,534,431,398,207,148,654)( 60,622,601,538,458,479,200,121,
87)( 61,613,439,533,449,155,204,139,573)( 62,640,196,535,413, 74,199,
112,492)( 63,631,682,536,422,317,201,103,330)( 65,685,113,501,305,
642,187,373,414)( 66,667,356,504,314,723,185,337,252)
( 68,658,275,498,269,399,189,391,657)( 69,703,599,502,296,480,182,364,
90)( 70,694,437,497,287,156,186,382,576)( 71,721,194,499,251, 75,181,
355,495)( 72,712,680,500,260,318,183,346,333)( 92,285,138,591,385,
621,475,695,446)( 93,267,381,594,394,702,473,659,284)
( 95,258,300,588,349,378,477,713,689)( 96,303,624,592,376,459,470,686,
122)( 97,294,462,587,367,135,474,704,608)( 99,312,705,590,340,297,
471,668,365)(101,366,144,636,709,617,421,290,444)(102,348,387,639,
718,698,419,254,282)(104,339,306,633,673,374,423,308,687)
(105,384,630,637,700,455,416,281,120)(106,375,468,632,691,131,420,299,
606)(108,393,711,635,664,293,417,263,363)(119,123,141,627,628,619,
457,452,443)(124,132,465,623,610,133,456,461,605)(126,150,708,626,
583,295,453,425,362)(128,447,137,609,142,618,466,614,448)
(129,429,380,612,151,699,464,578,286)(140,582,304,615,430,371,450,146,
690)(147,672,383,585,313,696,428,335,288)(149,663,302,579,268,372,
432,389,693)(153,717,707,581,259,291,426,344,369)(255,264,345,351,
396,720,716,662,257)(261,309,669,347,342,315,714,671,338)
(266,336,270,390,675,392,666,311,660) ] ],
[ 25, 3456649728, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"PSL(2, 8)^3.9:3", [ "L", [ 2, 8 ], 3 ],
[ ( 1,208,640,712,379,523,271, 10,181,568,694,397,550,298, 37,190,577,667,
325,532,316, 64,217,604,676,334,505,244, 46,235,631,703,361,514,253,
19,163,613,721,388,541,280, 28,172,586,649,370,559,307, 55,199,595,
658,343,487,289, 73,226,622,685,352,496,262)( 2,214,648,713,385,531,
272, 16,189,569,700,405,551,304, 45,191,583,675,326,538,324, 65,223,
612,677,340,513,245, 52,243,632,709,369,515,259, 27,164,619,729,389,
547,288, 29,178,594,650,376,567,308, 61,207,596,664,351,488,295, 81,
227,628,693,353,502,270)( 3,210,642,714,381,525,273, 12,183,570,696,
399,552,300, 39,192,579,669,327,534,318, 66,219,606,678,336,507,246,
48,237,633,705,363,516,255, 21,165,615,723,390,543,282, 30,174,588,
651,372,561,309, 57,201,597,660,345,489,291, 75,228,624,687,354,498,
264)( 4,211,643,715,382,526,274, 13,184,571,697,400,553,301, 40,193,
580,670,328,535,319, 67,220,607,679,337,508,247, 49,238,634,706,364,
517,256, 22,166,616,724,391,544,283, 31,175,589,652,373,562,310, 58,
202,598,661,346,490,292, 76,229,625,688,355,499,265)( 5,213,647,716,
384,530,275, 15,188,572,699,404,554,303, 44,194,582,674,329,537,323,
68,222,611,680,339,512,248, 51,242,635,708,368,518,258, 26,167,618,
728,392,546,287, 32,177,593,653,375,566,311, 60,206,599,663,350,491,
294, 80,230,627,692,356,501,269)( 6,215,644,717,386,527,276, 17,185,
573,701,401,555,305, 41,195,584,671,330,539,320, 69,224,608,681,341,
509,249, 53,239,636,710,365,519,260, 23,168,620,725,393,548,284, 33,
179,590,654,377,563,312, 62,203,600,665,347,492,296, 77,231,629,689,
357,503,266)( 7,216,641,718,387,524,277, 18,182,574,702,398,556,306,
38,196,585,668,331,540,317, 70,225,605,682,342,506,250, 54,236,637,
711,362,520,261, 20,169,621,722,394,549,281, 34,180,587,655,378,560,
313, 63,200,601,666,344,493,297, 74,232,630,686,358,504,263)
( 8,212,645,719,383,528,278, 14,186,575,698,402,557,302, 42,197,581,
672,332,536,321, 71,221,609,683,338,510,251, 50,240,638,707,366,521,
257, 24,170,617,726,395,545,285, 35,176,591,656,374,564,314, 59,204,
602,662,348,494,293, 78,233,626,690,359,500,267)( 9,209,646,720,380,
529,279, 11,187,576,695,403,558,299, 43,198,578,673,333,533,322, 72,
218,610,684,335,511,252, 47,241,639,704,367,522,254, 25,171,614,727,
396,542,286, 36,173,592,657,371,565,315, 56,205,603,659,349,495,290,
79,234,623,691,360,497,268)( 82,127,154,145,136,118,109, 91,100)
( 83,133,162,146,142,126,110, 97,108)( 84,129,156,147,138,120,111, 93,
102)( 85,130,157,148,139,121,112, 94,103)( 86,132,161,149,141,125,
113, 96,107)( 87,134,158,150,143,122,114, 98,104)( 88,135,155,151,
144,119,115, 99,101)( 89,131,159,152,140,123,116, 95,105)
( 90,128,160,153,137,124,117, 92,106)(406,451,478,469,460,442,433,415,
424)(407,457,486,470,466,450,434,421,432)(408,453,480,471,462,444,
435,417,426)(409,454,481,472,463,445,436,418,427)(410,456,485,473,
465,449,437,420,431)(411,458,482,474,467,446,438,422,428)
(412,459,479,475,468,443,439,423,425)(413,455,483,476,464,447,440,419,
429)(414,452,484,477,461,448,441,416,430),
( 1,446,137,247,451,200, 88,427,371,171,421,668,327,486, 11,653,462,317
)( 2,410,461,245,406,443, 83,409,452,164,412,425,326,414,416,650,
408,479)( 3,482, 56,248,460,281, 82,445,128,166,457,182,331,432,335,
657,417,722)( 4,455,218,250,424,362, 90,418,695,165,484, 20,329,468,
254,649,444,155)( 5,464,299,244,442,119, 85,454,209,169,430,344,333,
423,659,651,480, 74)( 6,437,542,251,469,605, 87,436,533,170,475,587,
330,441,497,656,471,641)( 7,428,380,252,415,686, 84,481, 47,167,466,
263,325,450, 92,652,453,236)( 8,473,623,249,433,524, 89,472,614,168,
439,506,332,477,578,654,435,560)( 9,419,704,246,478, 38, 86,463,290,
163,448,101,328,459,173,655,426,398)( 10,689,138,319, 46,203,142,265,
370,207, 97,670,372,243, 16,671,381,324)( 12,725, 57,320, 55,284,136,
283,127,202,133,184,376,189,340,675,336,729)( 13,698,219,322, 19,365,
144,256,694,201,160, 22,374,225,259,667,363,162)( 14,707,300,316, 37,
122,139,292,208,205,106,346,378,180,664,669,399, 81)( 15,680,543,323,
64,608,141,274,532,206,151,589,375,198,502,674,390,648)
( 17,716,624,321, 28,527,143,310,613,204,115,508,377,234,583,672,354,
567)( 18,662,705,318, 73, 41,140,301,289,199,124,103,373,216,178,673,
345,405)( 21,401, 63,257,703,282,154, 40,131,220,295,181,367,108,337,
702,174,727)( 23,383,306,253,685,120,157, 49,212,223,268,343,369, 99,
661,696,237, 79)( 24,356,549,260,712,606,159, 31,536,224,313,586,366,
117,499,701,228,646)( 25,347,387,261,658,687,156, 76, 50,221,304,262,
361,126, 94,697,210,241)( 26,392,630,258,676,525,161, 67,617,222,277,
505,368,153,580,699,192,565)( 27,338,711,255,721, 39,158, 58,293,217,
286,100,364,135,175,700,183,403)( 29,491,467,308,568,447,110,490,458,
227,574,429,353,495,422,713,570,483)( 30,563, 62,311,622,285,109,526,
134,229,619,186,358,513,341,720,579,726)( 32,545,305,307,604,123,112,
535,215,232,592,348,360,504,665,714,642, 78)( 33,518,548,314,631,609,
114,517,539,233,637,591,357,522,503,719,633,645)( 34,509,386,315,577,
690,111,562, 53,230,628,267,352,531, 98,715,615,240)( 35,554,629,312,
595,528,116,553,620,231,601,510,359,558,584,717,597,564)
( 36,500,710,309,640, 42,113,544,296,226,610,105,355,540,179,718,588,
402)( 43,104,382,297,172,691,102,400, 54,176,709,264,397, 45, 95,706,
291,235)( 44,149,625,294,190,529,107,391,621,177,682,507,404, 72,581,
708,273,559)( 48,239, 61,266,379,288, 91,688,129,238, 52,185,385,270,
334,693, 93,724)( 51,194,547,269,388,612, 96,679,534,242, 70,590,384,
279,496,692,147,643)( 59,302,298,280,118,121,130,211,214,187,349,351,
342,666,660,723, 75, 77)( 60,275,541,287,145,607,132,193,538,188,394,
594,339,684,498,728, 66,644)( 65,572,465,272,487,449,146,571,456,191,
493,431,389,576,420,677,489,485)( 68,626,303,271,523,125,148,616,213,
196,511,350,396,585,663,678,561, 80)( 69,599,546,278,550,611,150,598,
537,197,556,593,393,603,501,683,552,647)( 71,635,627,276,514,530,152,
634,618,195,520,512,395,639,582,681,516,566)(411,434,488,413,470,569)
(438,515,494,476,632,573)(440,551,575,474,596,492)(519,521,557,638,
636,600)(555,602) ] ],
[ 26, 6913299456, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"PSL(2, 8).3^2:Sym(3)", [ "L", [ 2, 8 ], 3 ],
[ ( 1,218,484,609,117,658,185,295,633,333,706,563,287, 30,335,427,537,152)
( 2,461,483,123,109,172,187,619,639,657,707,320,282,354,337,508,539,
71)( 3,380,481,528,116, 10,182,457,636, 90,703,239,286,597,342,670,
536,314)( 4,542,485, 42,110,415,186,133,631,171,709,644,288,678,338,
265,534,395)( 5,299,480,366,112,496,188, 52,632,414,708,158,280,192,
340,589,540,719)( 6,137,478,204,115,577,189,700,635,252,705,401,283,
516,341, 22,533,476)( 7,623,486,690,113,253,183,376,634,495,710, 77,
281,435,339,103,532,233)( 8, 56,479,447,114, 91,181,214,637,576,711,
725,284,273,336,346,535,557)( 9,704,482,285,111,334,184,538,638)
( 11,425,456,150, 82,217,241,610,603,666,671,293,309,327,382,562,530,
35)( 12,344,454,555, 89, 55,236,448,600, 99,667,212,313,570,387,724,
527,278)( 13,506,458, 69, 83,460,240,124,595,180,673,617,315,651,383,
319,525,359)( 14,263,453,393, 85,541,242, 43,596,423,672,131,307,165,
385,643,531,683)( 15,101,451,231, 88,622,243,691,599,261,669,374,310,
489,386, 76,524,440)( 16,587,459,717, 86,298,237,367,598,504,674, 50,
308,408,384,157,523,197)( 17, 20,452,474, 87,136,235,205,601,585,675,
698,311,246,381,400,526,521)( 18,668,455,312, 84,379,238,529,602)
( 19,209,475,573,144,721,203,277,579,351,697,554,251, 57,398,445,519,
98)( 21,371,472,492,143, 73,200,439,582,108,694,230,250,624,405,688,
518,260)( 23,290,471,330,139,559,206, 34,578,432,699,149,244,219,403,
607,522,665)( 24,128,469,168,142,640,207,682,581,270,696,392,247,543,
404, 40,515,422)( 25,614,477,654,140,316,201,358,580,513,701, 68,245,
462,402,121,514,179)( 26, 47,470,411,141,154,199,196,583,594,702,716,
248,300,399,364,517,503)( 27,695,473,249,138,397,202,520,584)
( 28,173,430,618,153,649,221,322,606,360,661,509,296, 66,326,463,564,
125)( 29,416,429,132,145,163,223,646,612,684,662,266,291,390,328,544,
566, 44)( 31,497,431, 51,146,406,222,160,604,198,664,590,297,714,329,
301,561,368)( 32,254,426,375,148,487,224, 79,605,441,663,104,289,228,
331,625,567,692)( 33, 92,424,213,151,568,225,727,608,279,660,347,292,
552,332, 58,560,449)( 36,659,428,294,147,325,220,565,611)
( 37,191,421,591,135,712,167,304,642,369,679,500,269, 48,389,409,546,
161)( 38,434,420,105,127,226,169,628,648,693,680,257,264,372,391,490,
548, 80)( 39,353,418,510,134, 64,164,466,645,126,676,176,268,615,396,
652,545,323)( 41,272,417,348,130,550,170, 61,641,450,681, 95,262,210,
394,571,549,728)( 45,677,419,267,129,388,166,547,647)
( 46,227,412,627,162,685,194,259,588,378,715,491,305, 75,362,436,501,
107)( 49,551,413, 60,155,442,195, 97,586,216,718,572,306,723,365,274,
498,350)( 53, 65,407,465,159,118,190,178,592,621,720,653,302,318,363,
355,499,512)( 54,713,410,303,156,361,193,502,593)( 59,317,444,357,
94,505,215, 70,569,468,726,122,271,174,349,616,558,656)
( 62, 74,443,438, 96,100,208,232,574,630,729,689,275,255,345,373,553,
494)( 63,722,446,276, 93,343,211,556,575)( 67,488,467, 78,119,433,
177,106,613,234,655,626,324,687,356,256,507,377)( 72,650,464,321,120,
352,175,511,620)( 81,686,437,258,102,370,229,493,629),
( 1, 48,297,272,196,231,472,419,665,721,156, 90, 2, 52,294,274,194,
233,469,417,666,722,160, 87, 4, 50,296,271,192,234,470,421,663,724,
158, 89)( 3, 54,290,277,195,229,473,422,658,723,162, 83, 7, 51,292,
275,197,226,471,423,659,727,159, 85, 5, 53,289,273,198,227,475,420,
661,725,161, 82)( 6, 49,293,278,190,228,477,416,664,726,157, 86, 8,
46,291,279,191,232,474,418,662,728,154, 84, 9, 47,295,276,193,230,
476,415,660,729,155, 88)( 10,696,324,110,169, 69,454,257,683,235,147,
414, 11,700,321,112,167, 71,451,255,684,236,151,411, 13,698,323,109,
165, 72,452,259,681,238,149,413)( 12,702,317,115,168, 67,455,260,676,
237,153,407, 16,699,319,113,170, 64,453,261,677,241,150,409, 14,701,
316,111,171, 65,457,258,679,239,152,406)( 15,697,320,116,163, 66,459,
254,682,240,148,410, 17,694,318,117,164, 70,456,256,680,242,145,408,
18,695,322,114,166, 68,458,253,678,243,146,412)( 19,372,270,353,187,
393,427,338,674,397,102,333, 20,376,267,355,185,395,424,336,675,398,
106,330, 22,374,269,352,183,396,425,340,672,400,104,332)
( 21,378,263,358,186,391,428,341,667,399,108,326, 25,375,265,356,188,
388,426,342,668,403,105,328, 23,377,262,354,189,389,430,339,670,401,
107,325)( 24,373,266,359,181,390,432,335,673,402,103,329, 26,370,264,
360,182,394,429,337,671,404,100,327, 27,371,268,357,184,392,431,334,
669,405,101,331)( 28,210,315,434,178,717,481, 95,656, 73,129,252, 29,
214,312,436,176,719,478, 93,657, 74,133,249, 31,212,314,433,174,720,
479, 97,654, 76,131,251)( 30,216,308,439,177,715,482, 98,649, 75,135,
245, 34,213,310,437,179,712,480, 99,650, 79,132,247, 32,215,307,435,
180,713,484, 96,652, 77,134,244)( 33,211,311,440,172,714,486, 92,655,
78,130,248, 35,208,309,441,173,718,483, 94,653, 80,127,246, 36,209,
313,438,175,716,485, 91,651, 81,128,250)( 37,534,306,596,205,555,463,
581,692,559,138,576, 38,538,303,598,203,557,460,579,693,560,142,573,
40,536,305,595,201,558,461,583,690,562,140,575)( 39,540,299,601,204,
553,464,584,685,561,144,569, 43,537,301,599,206,550,462,585,686,565,
141,571, 41,539,298,597,207,551,466,582,688,563,143,568)
( 42,535,302,602,199,552,468,578,691,564,139,572, 44,532,300,603,200,
556,465,580,689,566,136,570, 45,533,304,600,202,554,467,577,687,567,
137,574)( 55,615,288,515,223,636,445,500,710,640,120,495, 56,619,285,
517,221,638,442,498,711,641,124,492, 58,617,287,514,219,639,443,502,
708,643,122,494)( 57,621,281,520,222,634,446,503,703,642,126,488, 61,
618,283,518,224,631,444,504,704,646,123,490, 59,620,280,516,225,632,
448,501,706,644,125,487)( 60,616,284,521,217,633,450,497,709,645,121,
491, 62,613,282,522,218,637,447,499,707,647,118,489, 63,614,286,519,
220,635,449,496,705,648,119,493)(343,345,351,344,349,348,346,347,350)
(361,507,387,587,367,510,382,590,368,505,381,594,362,511,384,589,365,
512,379,588,369,506,385,591,364,509,386,586,363,513,380,592,366,508,
383,593)(523,543,630,605,529,546,625,608,530,541,624,612,524,547,627,
607,527,548,622,606,531,542,628,609,526,545,629,604,525,549,623,610,
528,544,626,611), ( 1,651,724,517,115,137,605,369,374,473,226,168,
672,265,278, 98, 11, 39,399,563,556,223,627,594,297,458,415)
( 2,687,400,518,151,218,609,351,293,476,172, 6,669,319,521, 97, 56,
606,405,536,475,217,573,675,292,440, 91)( 3,723,562,520,142,623,612,
378,455,469,163,654,670,274,116, 92, 38,363,401,554,232,222,591,270,
296,422, 10)( 4,678,157,515,124,380,608,396,212,474,181,249,674,256,
35, 93, 74,525,403,545,637,225,618,432,289,413,658)( 5,714,238,519,
106,299,611,342, 50,471,235,492,673,301,602, 99, 47,444,397,491,718,
220,600,108,290,449,334)( 7,705,643,522,133,461,604,333,698,472,190,
87,668,283,359, 95, 65,201,402,509,313,224,582, 27,291,485,496)
( 8,660, 76,516,160,542,610,387,617,477,208,411,667,247,683, 94, 29,
120,398,527,394,221,636,189,294,431,253)( 9,696,481,514, 88,704,607,
360,131,470,199,330,671,310,197, 96, 20,282,404,500, 70,219,645,513,
295,467,577)( 12, 75,561,565,547,628,630,621,459,451,406,649,652,679,
112,110,119,362,365,392,230,231,186,267,269,260, 17)( 13, 30,156,560,
529,385,626,639,216,456,424,244,656,661, 31,111,155,524,367,383,635,
234,213,429,262,251,665)( 14, 66,237,564,511,304,629,585, 54,453,478,
487,655,706,598,117,128,443,361,329,716,229,195,105,263,287,341)
( 15, 21,318,566,502, 61,624,648,540,457,460,568,657,697,436,109, 83,
686,364,356,149,227,204,348,266,314,179)( 16, 57,642,567,538,466,622,
576,702,454,433, 82,650,688,355,113,146,200,366,347,311,233,177, 24,
264,323,503)( 18, 48,480,559,493,709,625,603,135,452,442,325,653,715,
193,114,101,281,368,338, 68,228,240,510,268,305,584)( 19,246,728,499,
34,138,641,531,376,464,631,171,699,427,271, 89,659, 40,354,158,551,
205,384,590,315,215,420)( 22,273,161,497, 43,381,644,558,214,465,586,
252,701,418, 28, 84,722,526,358,140,632,207,375,428,307,170,663)
( 23,309,242,501, 25,300,647,504, 52,462,640,495,700,463,595, 90,695,
445,352, 86,713,202,357,104,308,206,339)( 26,255, 80,498, 79,543,646,
549,619,468,613,414,694,409,676, 85,677,121,353,122,389,203,393,185,
312,188,258)( 32,147,236,528,349,302,638,180, 51,426,316,494,664, 58,
597,162,533,448,379,572,720,211,438,100,245,692,337)( 33,102,317,530,
340, 59,633,243,537,430,298,575,666, 49,435,154,488,691,382,599,153,
209,447,343,248,719,175)( 36,129,479,523,331,707,634,198,132,425,280,
332,662, 67,192,159,506,286,386,581, 72,210,483,505,250,710,580)
( 37,327,725,553,196,141,587,288,377,419, 64,165,726,508,277,143,578,
45,372,482,550,169,708,589,279,134,416)( 41,390,239,555,187,303,593,
261, 53,417, 73,489,727,544,601,144,614,450,370,410,712,166,681,103,
272,125,335)( 42,345,320,557,178, 60,588,324,539,421, 55,570,729,535,
439,136,569,693,373,437,145,164,690,346,275,152,173)( 44,336, 77,552,
241,546,592,306,620,423, 46,408,721,490,682,139,596,126,371,446,388,
167,717,184,276,107,254)( 62,579, 81,534,484,541,574,711,616,441,127,
407,685,328,680,148,191,123,344,284,395,176, 69,183,321,512,259)
( 63,615,486,532,412,703,571,684,130,434,118,326,689,391,194,150,182,
285,350,257, 71,174, 78,507,322,548,583) ] ],
[ 27, 10369949184, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
"PGammaL(2, 8) wreath Alt(3)", [ "L", [ 2, 8 ], 3 ],
[ ( 1,447,631,501,667,402,190, 60,451,573,523,717,334,186, 73,438,622,537,
649,366,226, 15,424,645,514,708,370,168, 37,474,577,510,721,357,217,
51,406,609,550,663,343,240, 28,465,613,492,685,393,172, 24,478,600,
541,699,325,204, 64,420,586,564,676,384,208, 6,442,636,496,672,397,
195, 55,456,568,528,712,339,181, 78,433,627,532,654,361,231, 10,429,
640,519,703,375,163, 42,469,582,505,726,352,222, 46,411,604,555,658,
348,235, 33,460,618,487,690,388,177, 19,483,595,546,694,330,199, 69,
415,591,559,681,379,213)( 2,446,632,500,668,401,191, 59,452,572,524,
716,335,185, 74,437,623,536,650,365,227, 14,425,644,515,707,371,167,
38,473,578,509,722,356,218, 50,407,608,551,662,344,239, 29,464,614,
491,686,392,173, 23,479,599,542,698,326,203, 65,419,587,563,677,383,
209, 5,443,635,497,671,398,194, 56,455,569,527,713,338,182, 77,434,
626,533,653,362,230, 11,428,641,518,704,374,164, 41,470,581,506,725,
353,221, 47,410,605,554,659,347,236, 32,461,617,488,689,389,176, 20,
482,596,545,695,329,200, 68,416,590,560,680,380,212)( 3,445,633,499,
669,400,192, 58,453,571,525,715,336,184, 75,436,624,535,651,364,228,
13,426,643,516,706,372,166, 39,472,579,508,723,355,219, 49,408,607,
552,661,345,238, 30,463,615,490,687,391,174, 22,480,598,543,697,327,
202, 66,418,588,562,678,382,210, 4,444,634,498,670,399,193, 57,454,
570,526,714,337,183, 76,435,625,534,652,363,229, 12,427,642,517,705,
373,165, 40,471,580,507,724,354,220, 48,409,606,553,660,346,237, 31,
462,616,489,688,390,175, 21,481,597,544,696,328,201, 67,417,589,561,
679,381,211)( 7,450,637,504,673,405,196, 63,457,576,529,720,340,189,
79,441,628,540,655,369,232, 18,430,648,520,711,376,171, 43,477,583,
513,727,360,223, 54,412,612,556,666,349,243, 34,468,619,495,691,396,
178, 27,484,603,547,702,331,207, 70,423,592,567,682,387,214, 9,448,
639,502,675,403,198, 61,459,574,531,718,342,187, 81,439,630,538,657,
367,234, 16,432,646,522,709,378,169, 45,475,585,511,729,358,225, 52,
414,610,558,664,351,241, 36,466,621,493,693,394,180, 25,486,601,549,
700,333,205, 72,421,594,565,684,385,216)( 8,449,638,503,674,404,197,
62,458,575,530,719,341,188, 80,440,629,539,656,368,233, 17,431,647,
521,710,377,170, 44,476,584,512,728,359,224, 53,413,611,557,665,350,
242, 35,467,620,494,692,395,179, 26,485,602,548,701,332,206, 71,422,
593,566,683,386,215)( 82,123,145, 96,100,159,109,141,127, 87,118,150,
91,105,154,114,136,132)( 83,122,146, 95,101,158,110,140,128, 86,119,
149, 92,104,155,113,137,131)( 84,121,147, 94,102,157,111,139,129, 85,
120,148, 93,103,156,112,138,130)( 88,126,151, 99,106,162,115,144,133,
90,124,153, 97,108,160,117,142,135)( 89,125,152, 98,107,161,116,143,
134)(244,285,307,258,262,321,271,303,289,249,280,312,253,267,316,276,
298,294)(245,284,308,257,263,320,272,302,290,248,281,311,254,266,317,
275,299,293)(246,283,309,256,264,319,273,301,291,247,282,310,255,265,
318,274,300,292)(250,288,313,261,268,324,277,306,295,252,286,315,259,
270,322,279,304,297)(251,287,314,260,269,323,278,305,296),
( 1,129, 31,183,433,212, 10,534, 34,237,595,216, 55,696, 35,228,352,213
)( 2,120,274,182,442,293, 11,525,277,236,604,297, 56,687,278,227,
361,294)( 3,111,193,181,451, 50, 12,516,196,235,613, 54, 57,678,197,
226,370, 51)( 4,102,436,185,415,536, 16,561,601,243,622,702, 62,714,
359,231,325,132)( 5, 93,517,187,478,617, 18,543,682,242,631,378, 60,
651,116,229,343,456)( 6, 84,112,184,424,455, 14,498,520,241,640,621,
63,705,683,233,388,375)( 7,156,598,189,460,698, 17,552,358,240,568,
135, 58,669,440,230,334,537)( 8,147,355,186,406,131, 13,507,439,239,
577,540, 61,723,602,234,379,699)( 9,138,679,188,469,374, 15,489,115,
238,586,459, 59,660,521,232,397,618)( 19,453, 32,174,514,214, 73,615,
36,219,676,215, 64,372, 33,165,109,211)( 20,444,275,173,523,295, 74,
606,279,218,685,296, 65,363,276,164,118,292)( 21,435,194,172,532, 52,
75,597,198,217,694, 53, 66,354,195,163,127, 49)( 22,426,437,176,496,
538, 79,642,603,225,703,701, 71,390,357,168, 82,130)( 23,417,518,178,
559,619, 81,624,684,224,712,377, 69,327,114,166,100,454)
( 24,408,113,175,505,457, 77,579,522,223,721,620, 72,381,681,170,145,
373)( 25,480,599,180,541,700, 80,633,360,222,649,134, 67,345,438,167,
91,535)( 26,471,356,177,487,133, 76,588,441,221,658,539, 70,399,600,
171,136,697)( 27,462,680,179,550,376, 78,570,117,220,667,458, 68,336,
519,169,154,616)( 28,210)( 29,201,271,209, 37,291)( 30,192,190,208,
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[ 28, 20739898368, 0, "4c", [ [ 24, 1 ], [ 192, 1 ], [ 512, 1 ] ], 1,
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[29, Factorial(729)/2,1,"2",[[728,1]],727, "Alt(729)", ["A",729, 1], "Alt"],
[30, Factorial(729),0,"2",[[728, 1]],729, "Sym(729)", ["A",729, 1], "Sym"],
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717,289,187,465,237,112,442,566,612,139)( 3,300,254, 33,221,662,278,
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724,228, 22,275,524,431,489,342, 15, 9,529, 17,696,123,610, 80,718,
20,283,554, 32,297,448,699,602,436,550, 97,545,352,424,676,350, 66,
527,411,689,308,452,682,494,337,360,138,224,136,587,542,423)
( 4, 45,349,259,650,503,535,661,263,143,129,643,285,265,473,119,104,
62,207, 24,670,628,697,218, 28,340,118,186,215,464,147,404,679,262,
134, 14,652,217,513,641,247,588,678,344,158,155,149,393,232,729,261,
171,267,369,216,654,377,334,721,330,622,585,165,131,688,396,640,193,
71, 27,608, 74,579)( 5, 70,665,508,140,511,415,252,257,493,695,615,
435,160,151,389,270,311,700,256,551,646,102,521,135, 25,319,242,324,
709,253,226,692,286,468,611,563,383,687,100,272,629,315,441, 83,409,
664,303,594, 98,397,258,382, 23,466,175,528,573,497,255,277,680,649,
133, 55,702,420,618,174,200, 37,398,391)( 6,408,555,341,384,559,205,
47,517,604,183,288,388,562, 67,706,443,231,201,214,106,182,191,185,
379,380,653,418,470,373,107,580,583,189,478,619,269,581,227,445,534,
597,455,704,314,548, 16,264,125,385,245,625,428,526,368,469,440,477,
49,675, 79, 64,310,674,159,309,192,274,196,361,502,172,672)
( 7, 44,553, 36,515,461,634,648, 54,531,663,128,367,157,358,296,639,
294,299,421, 75, 86,405,447,605,446,202,348,359,366,399,560,725,103,
18,451,292,444,120,645,433,429, 63,179,574,403,474,325,307,462,565,
609,543,512,213, 65,510,425,208, 94,279,114,356,459,432, 76,169,115,
260,145,426,372, 92)( 8,320,463,109,476,223,333,392,686, 53,365,370,
241,496,523,197,154, 42, 90,616,522,541,374,225,621,146,590,240,346,
412, 31,693,655,371,353,499,295,582,577,235,306,284,312, 11, 91,195,
536,400,362, 10, 81,669,354,164,506,345,357,271,658,246, 96,458,561,
505,722,181,603,730, 68,335,317, 58,163)( 12,486,141,475, 59,501,571,
52, 34,698,728,351,130,281, 39,630,437,293,677,238,453,153,623,657,
230,642,707,488, 61,656,190,331, 30,567,439,248,188,626, 48,659,363,
712,532,471,552,390,222,387,336,287,525,347,204,318,210,480,290,568,
406,166,708,328,547,530, 60,637,430,578,684,209,233,690,683)
( 19,456,540,402,413,236,457,203,375,126,105,694,438,537,249,569,599,
651,716,472,173,660,199,266,495,723, 72,339,620, 89,632,484,316,715,
576,111,161,243,727,434,376, 78,666,691,668,419,492, 85,168,410,681,
194,127,322, 43,714,596, 41,500,613,504,454,305,206,142,313,482,673,
450,152,220,601,417) ] ],
[ 2, 85147200, 0, "2", [ [ 729, 1 ] ], 2, "PSU(3, 9).2",
[ "2A", [ 2, 9 ], 1 ],
[ ( 1,656,508,104,161,312,570,130,313,195,199,281,377,716,162,116,192, 16,
66,595,385,609, 95,334,561,690,532,629,498,119, 78,309,131,470,545,
236,650,701,408, 47,135,637, 20,507,144,729,275,660,576,126,401,597,
358, 93,533, 35,591,568,174,554,680,415,390,719,446,128,207, 6,430,
346,316, 72,515)( 2,411,433,241, 79,641,121,354,326,458,456, 80,120,
140,539,420, 97,293,396,662,361,352,538,382,338,537,715,624,713,172,
244,447,567,173,481, 65,464,556,285,239, 34,388,645, 76, 96,700,215,
398,587,248,441,374,667,137,426,296,327,378,469,730,228,277,412,399,
644,590,229,677,450,615,324,182,109)( 3,397,188,287,289,628,438,445,
48,494, 63, 19,422,102,723,681,484,230,473,191,699,453,536, 31,340,
495,573,630,480, 60, 46,562,514,153,607,518,383,424,208,203,380,694,
234,409,216,342,381,139,353,461,488,391, 58,541,429,386,467,284,302,
206,332,589, 50,560,235,240,581,143,387,544,619,558,483)
( 4,403,243,416,710,245, 41,696,603,725,157,322,250,400, 62,142,369,
695,455,271,256,493,407,702,196,535,440,432,586, 92, 28,152,136,718,
460,572, 45,344,451,149,190, 30,684,618,246, 9,295,711, 14,125,348,
187,465,220,392,610,502,276,626,225,444,219,685,110,127,360,717,519,
68,633, 43,513,114)( 5,547,521,112,373,678,253,336,222,315,226,164,
165,132,186,604,665,183,693,317,404,359,145,510,237,262,257,111,321,
155,454,333, 94, 36,419,720,363,435,670,168,158,639, 24,648,180,579,
252,449,389,175,703,497,193,166, 27,417,129,565, 55,557,259,294,463,
584,167,657,592,492,205, 64,258, 99, 40)( 7,583,721,666,485,663,232,
343,642,649,212,555,527, 57,154,620,105,202,266,653, 87,201,704,574,
268,525,413,224,320,471,178,107,221, 54,270,280,692, 17, 11,578,328,
200,548,185,379,552,267,612,428,517, 8, 67,522,297, 51,523,218,580,
49,683,364, 56,279,147,117,282,163,727,254,146, 21, 26,365)
( 10,394,263,709, 82,357,613,655,314,585,242,679,530, 25,290, 38,189,
491,227,605,335,425,516,148, 84,582,138,427,233,376,339, 44,459,646,
598,311,439,640,487,534,707,418,355,511,210,479,442,448,714,542,434,
303,278,647,301,375,617, 83,661,198,505,477,351,496,506,264,402, 89,
23,486,468,675,213)( 12,501,594,414,600,528, 22,540,651, 53,209,654,
171,341,362, 86,664,623,214,331,671,437,490,546,674,261,682,686, 29,
156,499,712,151,509,170,462, 32, 75,705,299, 33,291,566, 42,274,524,
141, 77,265,100,304,177,564, 39,184,482,176,366,504,323,211,159,150,
673,616,638,625,602,601,529,292,349,575)( 13,551,310,593,247,503,520,
249,133,676, 98,272,550,305, 71, 52,636,708,329,466, 37, 70,627,688,
283,169,728,223,621,689,478, 74,179,531,370,406,124,476,643,635,706,
611,452,658,423,500,319, 69,260,569,489, 81,113,318,596, 91,231,160,
475,687,269,255,588,103,286,563,181,614,393,347,371,204, 90)
( 15,251,526,622,300,698, 88,108,443,669,474,115,101,457,106,436,632,
559,571,134,298,634,722,330,608,356,306,217,273, 85,288,549,652,631,
325,345,659,724, 61,122,238,577,421,118,472,194,691,543,697,372,672,
410,123,599,726,512,431,337,197,307, 59,384,350,367,553,405,308,668,
395,368, 18, 73,606),
( 1,721, 81,664,674,584, 15,151,197, 5,367,615,589,306,526,724,120,
500,586,188)( 2,486,250,697,658, 36,187,468,577,730,255,694,684,238,
581,292,531,534,645,640)( 3,126, 85,418,108,283,477,295,444, 63,544,
68,588,109,501,442, 92,700,524,385)( 4,124,171, 98,231,585,633,177,
221,548,593,491,515, 79,488,509,281,649,342,590)( 6,196,427, 87,157,
725,619,194,236,210,673,502, 69,190,371,532,520,341,336,528)
( 7,154,513,288,599, 26,660,617,160, 94,400,321, 30,162,657, 60,462,
290,572,159)( 8,313,147,428,670,413,710,110,665,616,695,397,536,685,
165,407,356, 96,643,183)( 9,469,383,495,351, 31,275,569,175,634,333,
603,380,425,484,652,429,655,498,308)( 10, 82, 86,320,314,461,218,514,
522,145, 23,393,494,717,135, 38,326,651,219, 24)( 11,618,716,262,107,
653,180,476,205,237,689, 49, 62,324,301,302,390,439,549,280)
( 12,209,372,430,507,626,560,624,254,270, 33,141, 80, 57, 73,686,234,
666,299,570)( 13,728,366,554,690,578,261,405,727,146,496,138,376,668,
682,473,300,355,296,211)( 14,322,112,263,706,134,454,641,471, 83,636,
27,121,537,136,199,133,505,352,387)( 16,596,193,386,546,508,140,370,
285,289,574,605,558,597,630,173, 47,726,243,499)( 17,497,511,483,379,
106,543,287,139,410,452,607,191,123, 66,246,362, 55,244,533)
( 18,166,627,545,519,229,297, 22,348,172,424, 58,353, 52, 35, 50,547,
621,539,305)( 19,178,598, 67,661,521,720,174, 91,487,459,493,466,415,
647,346,406,456,327,332)( 20,201,101, 61,179,269,373,561,207,411,369,
223,294,713,131,677,318,307,148,489)( 21, 70, 37,278,591,438,714,580,
691,687,422,416,449,312,253, 42,541,319,310,350)( 25,592,152,335,381,
540,242,259,529,638,195,153,482,198,143,325,230,186, 44, 29)
( 28,125,317,463,550,492,239,557,587,291,277,552,304,384,382,564,628,
368,245,693)( 32,718,566,354,345,606,475, 89,100, 74,127,458,516,202,
149,170,719,646,639,200)( 34,298,192,102,260,224,344, 41,404,453,329,
272,518,559,214,650,374,608,451,567)( 39,395,527,274,315,434, 40,358,
470,479,631,635,266,316,155,722,208,215,240,568)( 43,114,182,409,228,
445,359,433,189,583,663,258,303,478,464,343,563,517,556,485)
( 45, 90,264,709, 93,334,676,142,632,613,375,104,392,217,249,222,412,
576,504,455)( 46,703,233,115, 56,340, 99,480,309,226,601,525,105,450,
97,642,284,247,339,150)( 48,712,595,594,659,279,116,204,672,361,347,
436,394,271,158,582,707,622,600,701)( 51,276,363, 88,604)
( 53,729,620,286,704,137,364,256,609,503,227,441,723,481,420,698,163,
667,551,542)( 54,117,426,323,396,562,401,251,220,293,460,510,443,565,
402,378,414,669, 65,389)( 59,705,128,365,553,637,535,688,623,330, 71,
349,611, 64,610,579,654,538,252,490)( 72,337,612,555,447, 78, 84,111,
512,708,403,679,213,388,692,265,184,185,408,206)( 75,311,671,181,168,
161,472,644,360,419,421,156,169,144,132,573, 76,681,448, 77)
( 95,675,431,629,625,523,648,506,216,530,399,711,273,602,702,130,656,
699,446,338)(103,571,423,432,248,267,257,391,614,122,662,129,328,225,
398,235,715,683,203,474)(113,435,232,164,119,357,465,437,680,212,696,
167,417,457,282,467,176,678,241,575)(118,268,377,331,440) ] ],
[ 3, 170294400, 0, "2", [ [ 729, 1 ] ], 2, "PGammaU(3, 9)",
[ "2A", [ 2, 9 ], 1 ],
[ ( 1,321,364,431,347,378,558,411)( 2,639,472,270,632,491,579,404)
( 3,590,401,297,382,609,305, 94)( 4,278,672,716,730,174,264,728)
( 5,197,615, 6,280,221,279,287)( 7,711, 12,497,425,141,322, 86)
( 8, 13,203,687,475,307,627, 74)( 9,376,228,215,388,602,492,534)
( 10,219,400, 23,546,397,477,685)( 14,587,403,100)( 15,421,252,521,
429,151,542, 19)( 16,311,206, 99,131,349,559,449)( 17,282,172,306,
92,715,650,673)( 18, 79,109,655,301,699,414,179)( 20,162,452,268,
324,494,416, 68)( 21,622,240,550,187,329,432,333)( 22,185,617,651,
83,135,717,134)( 24,245,272,410,330,566,128,283)( 25,164,122,562,
43, 81,360, 30)( 26,697,190,144,575,586,310,713)( 27,118,348, 56,
457,478,679,313)( 28,318,111,112,688,133,108, 36)( 29,539,232,260)
( 31,130,572,394,177,611,300,387)( 32,726,284,582,210,619,345,116)
( 33, 97,530, 45, 69,647,249, 44)( 34,666,381,481,428,683,163,595)
( 35,704,407,275,218,594, 63,309)( 37,567, 76,621,417,659,121, 72)
( 38,631,537,554,668,104,373,637)( 39,468,705,656,332,285,461,181)
( 40,520,490,137,533,479,259,560)( 41, 58,486,450,434,682,147,182)
( 42,719,506,517,208,658,426,508)( 46,123,569,266,610,244,178,665)
( 47,459,722,120,455,377,248,265)( 48,261,308,577,361,456,140,467)
( 49,154,217, 77,200,103,701,700)( 50,192,274,618,220,657,214,355)
( 51, 82,454,267,148,634,482,528)( 52,312,606,129,724,707,412,616)
( 53,630,143,462, 54,353,645,246)( 55,292,320,391,117,336,201,485)
( 57,507,409,173,585,155,269,629)( 59,484,167,541,684, 73,646,471)
( 60,436,418,702, 67,453,470,136)( 61,327,568,584,427,662,354,443)
( 62,196,231,644,115,535,447,677)( 64,548, 91,649,316,339,222,183)
( 65,367,277,708,335,396,652,383)( 66,551,102,570,498,138,633,296)
( 70,227,379,165,101,445,675,169)( 71,511,660,538,678,180,262,146)
( 75,469,415,424,563,386,254,170)( 78,625,531,149,303,525,448,638)
( 80,395,437,540,127,298,247,226)( 84,342,340,552,444,519,328,593)
( 85,694,323,159,635,189,509,495)( 87,698,238,714,392,375,493,291)
( 88,501,253,544,139,399,255,205)( 89,483,250,473,576,346,357,599)
( 90,351,689,276,211,721, 93,372)( 95,553,510,620,161,608,433,536)
( 96,229,543,385,356,523,191,294)( 98,398,604,213,199,549,235,624)
(105,273,499,225,574,696,293,380)(106,198,237,488,670,257,723,664)
(107,430,524,503,242,442,691,703)(110,331,502,515,518,500,439,230)
(113,145,654,686,514,438,653,234)(114,326,374,289,314,233,626,580)
(119,193,464,319,588,251,522,390)(124,607,371,648,365,709,295,317)
(125,362,271,369,241,350,636,690)(126,458,712,440,581,422,243,695)
(132,142,600,545,556,598,451,489)(150,527,532,344,168,288,384,290)
(152,641,212,304,561,463,258,153)(156,160,583,671,441,315,334,642)
(157,663,623,423,171,578,706,166)(158,209,202,406,370,496,358,176)
(175,603,681,596,263,216,674,727)(184,281,363,435,605,224,526,393)
(186,591,446,693,565,204,302,195)(188,710,405,612,239,352,389,513)
(194,413,512,341,676,547,680,419)(207,466,661,643,359,720,460,402)
(223,692,476,408,557,366,725,718)(236,480,614,667,729,669,504,564)
(256,325,465,474,343,628,613,640)(299,420,555,487,573,337,601,571)
(338,589,529,505,516,592,368,597),
( 1, 45,687,396,226,336,604,702, 97, 8,169,537, 33,177,112,355, 29,
215,567,341,530,717, 37,365)( 2,628,506,558,234,559,455,504,152,161,
165,449,295,306, 66,116,718,180,575,680,133,586,466,651)
( 3, 51,214,468,102,245,474,659,656,615,583,121,499,315,584,605,163,
512,513,480,579, 9,569,391)( 4,267,198,385,216,251,300,329,548,303,
703,392,405, 17,101,384,142,432,151,210,231, 10,535, 34)
( 5,669,337,505,205,706)( 6,568,143,607,719,520,376,566,585,124,553,
179,287,361, 22,571, 50,342,132,710,522,439,253,518)( 7,159,695,590,
339,620,317,110,643,424,271,425, 99,364,313,363,580,239,399,344,509,
457,264, 39)( 11,486,458,638,184,438, 89,516,713,632,672,285,707, 58,
53, 71,290,730, 12,700,406,408,104,629)( 13,411,618,283,186, 65, 49,
469,646,334, 47,393,443,343,178,263,108,192,517,351,373,613,622,682)
( 14,366,488,721,527,395, 92,194,109,270,544,593,103,319,660,174,561,
153,431,274,218,452,387,673)( 15,369,211,402, 68,371, 42,701, 84,167,
465,589,688,692,189,728, 79,563,379,114,217,640,223,675)
( 16,649,712,417,272,501,479,541,493,658,574,444,212,612,485,418, 48,
617,430,261,229,362,420,429)( 18,309,146,367,316,138,564,115,726,323,
690,606,723,415,227,508,456, 90,696,407,679,529,641,515)
( 19,241,678,100,349,314,250,354, 67,685,356,416,519,705, 75,206,423,
296,494,123,171,222,377,155)( 20,630,667,440,176,237,581,249, 43,175,
435, 81,668, 63,492,154,725,372,172,150,383,441,140,670)
( 21,665,277,543,340,426,235,487,386,442,534, 57,619,528,547,453,375,
139,597,491,532,122,691,428)( 23,610,258,269,333,197,346,130,352,350,
359, 59,181, 96,704,562,624,708,299,202,147,546, 77,247)
( 24,370,500,144,353, 36,298,676,461, 83,636,542,378,297,311,244,238,
76, 44,633,148, 25,715,594)( 26,105,511,587,419,183,120,450,600,255,
191,200,262,422,312, 94,616, 72, 91,714,127,118,697,557)
( 27,246,292,437,188,664,158,631, 80,168,126,409,307,588,533,445,481,
729,671,555,332,196, 78,573)( 28,514,128,207,463,345,609,380,257,160,
390,113,230,134,281,722,526,608,698,471,327,137,328,490)
( 30,404,413,683,401,225,536,539,220,496,550,635,209,592,278,322, 95,
524,478,551, 61,565, 31,454)( 32,248,637,208,699,117,472,577,694,294,
412,236,626,325, 86,554, 73,149,576,119,232,677,570,374)
( 35,291,310,484,187,523,260,394,650,451,552,288,681, 69,111,599,125,
358, 56,397,427,259,460,495)( 38, 98,462,627,521,540,286,711,289,621,
305,382, 60,625,321,156,389,653, 82,273,448,502, 88,724)
( 40,400,598,525, 87,347, 52,360,233,213,141,388, 64,727,596,467,591,
182,639,145,538,240,447,578)( 41,170,642,348,304,477,195,265,595,476,
436,572,398,381,403,560,193,185,335,666,446,224,498,252)
( 46,602,135,338,674,324,693,556,459,330,644,203,503,280,510,661,266,
720,243,623,647,689,652,368)( 54,489,279)( 55,716,545,201,276,162,
507,470,655,301,199,684,686,410,663,611,282,433,497,157,164,601, 93,
331)( 62,634,414,221,318,308,657,482,293,204,173,421,320,654,256,662,
254,614, 74,709, 85,129,106,549)( 70,475,107,483,464,131,326,268,275,
284,531,357,645,473,219,190,136,434,166,648,582,302,228,603) ] ],
[ 4, 193709880, 1, "2", [ [ 729, 1 ] ], 2, "PSL(2, 3^6)",
[ "L", [ 2, 729 ], 1 ],
[ ( 1,105, 48,716,187,382,258,551, 33,190,213,659, 17,477,531,233,506,574,
637, 50,287,100,106,577,127,714)( 2,171,459,638,232,150, 42,643,148,
566,407,156,389,691, 81,248,547,267,123,355,425,666,582, 3,176, 82)
( 4, 88,543,470,445,450,225, 54, 76,484,462, 68, 47, 93,313,151,491,
57,387,269,604,534,481,610,634,725)( 5,218,280, 63,266,652,432,320,
368,329,250,306,336,255,711,523, 85,331,293,605,581,154,473,113,501,
257)( 6,289,303,586, 14,399, 51,599,410, 95,403,689, 67,194,118,474,
398,525,633,189,497,182,723,541,193,578)( 7,428,231,695,417,391,277,
669,713, 79,373,284,422,297,458,227, 72,686,400,349, 59,215,141,125,
628,129)( 8,726,268,619,614,692,327, 19,179,646,720,386,526,440,376,
475,128,278, 40,635,616,455, 35, 38,214,199)( 9,252,639,570,495,369,
563,140,654,132,594,307,671,461,364,580,640,595, 92,576,135,617,412,
43,197,372)( 10,656,167,237,469,325, 45,344,511,631,203,436,185, 26,
444,679,550,442,360,684,133,421,590,510,416,589)( 11,717,299,261,507,
69,611,337,256,286,342,263,224,272,160,670,326,529,312,374,587,335,
91,479,119,438)( 12,228,131,651,285,728,460,668,452, 29,223, 97, 22,
683,340,583,220,395,549,180,705,457, 16,500,727,682)( 13, 23,362,433,
536,366,443,310, 25,519,431, 90,528,124,560,650,186,667,332,385, 94,
626,146,270, 71,522)( 15,486,492,305,542,685, 18, 86,359, 61,115,575,
663,379,402,559, 41,334,210,405,606,544,487,591,608,465)
( 20,508,537,238, 27,427, 75,392,291,247,107,615, 34,493,357,490,294,
276,126,120,677,109,675,709,546,169)( 21,251,388,598,624,168,358,273,
482,371,632,555, 44,155,138,173,353,701,592,253,304,343,275,183,505,
222)( 24,136,674, 83,181,721,188,264,381,333, 78,527,143,396, 60,380,
350,390,300,162,673,660,246,704,241,394)( 28,375,309, 96,116,530,177,
208, 39,448,710,702,429, 74,699, 36,145,593,290,561,642,408,330,363,
622, 80)( 30,244,157,471,195,245,104,191,625, 77,414,236,318,112,607,
600,539,153,174,271,103,434,453,644,420,478)( 31,302,729,447,556,623,
518,163,620,612,144,553,384,415, 62,476,496,283,217,564,512,700,229,
262,184,680)( 32,468, 64,502,161, 73,567,282,149,226, 56,159,230,569,
579, 70,521,322,446,696,498,207,260,655,406,672)( 37,690,221,110,319,
234,424,698,724,204,341,571,370, 87,409,317,249,288,339,730,621,239,
419,454,437,548)( 46,613,647,483,645,472,466,316,298,102,235, 99,558,
707,485,345,301,200,517,165,565,354, 55, 84,572,423)( 49,504,588,597,
688,712,111, 58,718,323,205,535,101,441,279,499,545,524,130,108,516,
538,367,142,147,122)( 52,352,693, 98,681,209,426,254,603,296,719,338,
166,383,641,494,629,240,540, 89,665,311,661,281,657,503)
( 53,722,715,480,274,356,178,515,697,401,488,347,397,121,435,348,562,
114,172,678,139,158,489,321,418,439)( 65,514,259,211,328,404,601,411,
509,648,456,568,198,351,618,346,662,649,430,292,202,242,212,532,196,
449)( 66,206,602,676,413,573,265,630,708,703,324,596,584,393,378,554,
557,137,706,687,552,314,464,117,216,152)(134,295,170,308,219,513,609,
653,315,201,175,627,361,164,585,463,694,467,451,377,533,243,192,636,
520,365), ( 1,523,561,404,577,346, 50,529,270,503,236,107,281,623,
144,271,412,560,127,315,621,488,589,300,639,245,479, 79, 75, 64,585,
543,211,371,117, 91, 51,198,204, 72,605,339,555,110,309,214,222,268,
112,251,637,134, 25,442, 80,630,719,303,453,450,569,156,350,318,342,
235,542, 20,507, 49,597, 35,348,227,600,179,422,137,155,316,122, 24,
340,650,524,218,286,580, 94,426,528,518,510,644,608,725,530, 70,669,
464,246,437,562,594,651, 87,115,273,428,728,701,588,288,667,632,104,
695,405,564,662,314, 43,679,253, 85,278,233,356,691,726,456,601,583,
282,119,237,121,366, 92,136,157,459, 93, 84,611,207,187,649,419,230,
668, 68, 81,440,546,455,481,517,272,418,172,277,539,638,460,550,463,
361,573,304,311, 56,380,606,513,209,232, 65,147, 97,223, 77)
( 2,410,397,581,206,607,480,680,467,176,484,506,688, 45,709,159,617,
163,114, 6,584,708, 59,634,696,471,417, 37,305,132,656,532,602,224,
598, 40, 17,663,615,257, 83,685,403,616,559, 44, 63, 67,444,149,293,
323,212,376,401,641,389,505,100,252,438,294, 74,291,631,229,317, 60,
493,289,712,188,653, 61,514,646,297,716,327,226,129,674,721,302,362,
592,219,700,258,499, 4,347, 42,106,683,448,568,665,140,677,485, 30,
544,382,349,591,125,240,255,575,501,454,692,320,265, 29,612,242,379,
554,566, 46,489,146,526,620,477,590,441,372,579,473,466,103,357,167,
714,335, 11,330,332,551,642,427, 62,478,676,434,393, 52,690,174,190,
399, 14,264,706, 54,699,102,388,545,435,622,492,351,647,423,654, 95,
76, 48,475,567, 32,217,192,248, 7,536,713,610)( 3,363,216,710,655,
283,521,474,400,720, 5,120,384,626,593,431,215,490,298,105,310,407,
527,292,139,203,628,241,476,717,275, 26,383,613,673,254,301,116, 19,
648,259,678,329,461,184,322, 57,263,686,482,185,658, 16,344,684,171,
681,537,723,145,470,586,334,574,599, 33,652,682, 96,531,178,182,201,
416,359,572,290,162,718,360,312,228,205,377, 21,373,443,319,113,670,
208,558,504,279,341,186,267,391,239,131, 82,358, 86,266,200,287,469,
491, 69,508,295,495,368, 39,394,578,565,243,365,262,439,238,727, 53,
28,213,408,500,197,169,150,321,552,328,624,483,353,540,430,587,143,
276,191,269,711,231,576, 55, 71,285,193,582,541,299,497,183,548,333,
424,643,645,234,640,261, 78,618,142,509,502,396,603,534,385,498,355,
449, 99,486,199,409,421,596)( 8,126,693,392,374,519,249,284,619, 12,
697,160,722,296,202,661,313,411,570,280,141,343,308,687,387,274,247,
547,702,130,158,324,381,413,538,729,511,306,175,445,250,367,331,465,
457,447,549,151,395,689, 27,451,325,635,221,123,659, 90,108,553, 66,
375, 18,627,210,378,196,468,225,433, 10,633,657,625, 89,406,525,522,
672,256,345,165,533,220,111,338,724,133,707, 23, 31,666,135,420,636,
370,173, 41, 47,194,154,128,604, 34,432,390,181,170,166,496,730,336,
675,386,487,354,660,118,415,563,704,101,352,694,138, 9,472,705,446,
195,629,398,571,414,452,244,168, 22,148, 98,180, 13, 36,462,369,595,
189,664,671,402,614,512,425,515,337,436,698, 73,557,703,458,494,520,
429,535,164,177,307, 15,556,326, 58, 38,364,161,152,516, 88,109,153,
609,124) ] ],
[ 5, 387419760, 0, "2", [ [ 729, 1 ] ], 3, "PSL(2, 3^6).2",
[ "L", [ 2, 729 ], 1 ],
[ ( 1,622,459, 10,143,181,193,244,565,161,364, 8,652,419,255,183,145,517,
268,157,716,471, 83,242,103,627,133,273,243,490,683,131,639,339,125,
355, 60,356,711,377,254,170,185,340,407,617,214,274,506,502,538,541,
726,724,337,298, 24,572,729,188,606,505,608,128,172, 85,667, 38,561,
638,559,543, 86,141,104,166, 58,414,238,112, 97,574, 46,448,282,332,
43,629,547,720,491, 77,712, 14,360,144,384,408,152,327,453,463,383,
39,167,573,253,515,192, 9,178, 51,204,642,675,676,518, 12,195,126,
691,589,116, 65,372,702,513,449, 48,457,728,464,354,296,596,498, 34,
386,423,439,438,586,553,135,409,580,557,224,482,688,207,213, 82,626,
365,578,612,190, 54,721,433, 27,241,429,684, 76,598,656,410,140,680,
248,228,519,703,587,303,403,445,474,548,529,674,621,279,443,180,107,
211,391,470, 94,312,169,221,196,658,359,681,440,546,725,301,426,179,
232, 72,581,306,159,592,142,368, 78,381, 73,700,496, 91,552,247,480,
284,632,615, 79,585,677,374, 35, 66, 44,388, 20,138,127, 30,686, 2,
322,523,551,545,175,643, 56,503, 52,425,668,402,251,466,416,302,380,
87,540,226,120,134,566,146,288, 17,400,611,534,378, 29,113,318,259,
618,413,338,324,235,237,645,649,454,706,646,294,494,641, 7,536, 13,
694,189,321,269,225,118, 74, 22,154,379,330,537,336,432,579, 49,427,
367,619,424,428,106,108, 19, 5,660,455, 84, 25,230,314,695,539,462,
673,326, 55,197,507,209,223,117,533,256,693, 41,657,607, 92,671,405,
648,291,570,287,430,168,528,522,550, 21,341,387,313,216,205,323,685,
299,277,308,699,396,488,264,458,441, 59,593, 96,521,252,577,373,270,
692,265,705,201,481,184, 37,492,271,111,164,647, 42,348,527,633,392,
714,415,147,122,174, 31,249,603,682,132,236,163,630, 64,452,399,544,
525,599,628,670, 40,486,370,554,115, 95,393,203,663,417,475,267,389,
644,102,316,640,352,289,153,461,495,708,447,261,130,136,385,591,119,
516,493,664,208,520,487,635,634,650,687,309,575,477, 47,719,609,345,
616,295,624,560,371,701,278,227,484,382,217,148,331,555,397,398,431,
139,292,165,334,151,558, 90,500,176,304,690,610,620, 16,191,665,689,
199,713,329,361,266,582,353,526,444,300, 11, 61,625,297,499,246,231,
105,659,285,177,239,202,257,530,514,435,512,305,406,258,171,215,465,
568,467,155,344,501,319, 45, 6,349,347,532,535,571,567, 69,129,456,
666, 3,158,173, 89,696,362,717,283,718,218, 4,434,212,390,583,100,
70,210,446,240,101,260,602,357,186, 75,556,198,160, 88,654,421,335,
709,182,508, 99,150,162,200,333,614,451,342,275, 98,478,220,631,272,
63,262,637,722,437,524,698,594,511,483, 62,206,315,473,187, 50, 18,
234, 67,678,317,149,710,485,672,651, 32,286,394,346,723,307,219,576,
263,250,420,704,468,343,707,472,121,623,411,460,310,655,320,476,489,
604,412,564,715,290,110,531,328,376,510,114,504,669,404,569,229,563,
697, 15,542,233, 53,358,509,661,469,584,597, 23,418, 33,613,662,450,
222,601,366,730,605,369,653, 93, 80,497,124, 36,350,727,679, 57,311,
422,401,588,363,194, 26,395,276,109,325,293,156,600, 28,137,281,590,
562,479,375,549,636,351,436, 81,280, 71,442,123,595,245, 68),
( 1,595,306,427,665, 5,673,562,296,109,611,618, 66,583, 13,652,118,
222,515,147, 59,209,325,530,353,336, 41,182,154,674,713,137,420,522,
628,489, 89,506, 9,590,622,416,219,106,664,639,655,176,168,285,177,
441,260, 51,397,463,212,511,223,446, 8,644, 61,399,513,258,461,287,
412,174,502,390,462, 23,138,301, 22,262, 68,175,609,718,483,543,344,
367,277,701,686, 31,117,161,591,181,436, 86,499,224,192,650,191,531,
495,445,335,321,455,422,423,711,693,244,162,424,193,319,190,364,360,
670,148,724,478,286, 32,721,237,451,409,678,133,535,131, 12,406,120,
728, 11,474, 87,111,614,560, 88,657,179,662,166,261,688,544,275,473,
625,343, 79,198, 15,526, 64,419,157, 72,387, 73,546,575,259,269,361,
330,704,346,268,481,613,485,294,607,144,374,635, 48,307,205,433,507,
521,540,415,318,373,638,204,494,101, 55, 97,308,122,729, 10,313,221,
456,620, 82,107,227,480, 28,146,708,292,703,324,365,694,403,552, 42,
312,715,393,152,230,687,592,288,504,722,410,467,110,320, 52,538,302,
338, 14,528,533,196,648,568, 45,553,214, 18,395,539,310,170, 53,653,
439,249,178,331,637,570,142,194,282,497,429,189,593,340,115,536,103,
352,202,565,512,229,163, 80, 29,348,376,328,605,199, 58,498,309,347,
633,255,567, 2,350,571, 78,246,525,709, 44,380,401, 96,642,394, 24,
384,136,682,377,398, 4, 69,253,532,700,207,428, 46,211,523,145,431,
469,280,720,579,173,450,402,430, 19,698,615,549,266,213,576,426,675,
242,663,438,185,589,349,281,496,584,636,208,141,447,600,529,339,125,
725,608,468,239,383, 30,564,225, 3,210,130,582,245,250, 34,440,476,
240,726,458,668,311,368, 56,274,490,186, 91,548,626,385, 63,466, 6,
226,375, 84,413,454, 75,486, 70,632, 20,298,551,671,696,158,322,557,
465, 38, 49,656,470,681,723,677,284,574,140,405,460,363,238,257,271,
345,573,471,730,143,404,634,171,484,293,165,297,510,432, 74,448,417,
509,519,203,232,705,391,706,621,359,714,252, 33,580,699,435,153,305,
503,234, 90,517,612,116,599,121,690,218,164,667,691,304, 37, 50,658,
372, 36,647,243,645,100,369,327,541, 57, 16,492,300, 54,630,108,418,
414,588,459,585,354,616,534, 85, 67,355,356,323,457,443,333,283,247,
587,128,586,554,279,692,342,597,187,617,661, 17, 92, 77,501,411,434,
235,295, 60,169,603,710,516, 26,477,640, 25,316,388,276,604,366,491,
317,520,265,379,717,134, 40,332,555,267,566,315,381,727,518,337,601,
493,610,602,123,139,114,672,559,362,156,188, 39,272,689,289,150,256,
358,641, 65,104,624,596, 7,442,425,248,453,569,719,631,263,556,660,
126, 35,195,712,160,167,669,482,216,105, 43,113,351,472,183, 47,159,
646, 62,444,233,594, 93,228,488,464,452,500,577,197, 71,124,396, 95,
94,231,659,563,558,649,629,370,695,666,421,217,524,127,135,527,407,
76,572,508,329,487, 98,479,378,514, 27,200,475,341,542,598,505,102,
151,241, 81,606,623,386,389,392,155,172,697,537,627,676,273,180,236,
437,303,578, 21,264,400,299,680,291,449,270,206,702,371,251,643,651,
254,561,357,112, 83,408,149,129,220,215,119,547,684,683,382,654,707,
581,201,278,326,314,290,550,685,184,545,334,716,132,619) ] ],
[ 6, 387419760, 0, "2", [ [ 729, 1 ] ], 2, "PSL(2, 3^6).2",
[ "L", [ 2, 729 ], 1 ],
[ ( 1, 36, 84,100, 90,699,217,321,621,576,171,443,558,317,535,107,271,582,
242,654,174,662, 32,392,700,641)( 2,143,467,550,302,595,485,508,673,
85,416,310,220,140,501,452,476,123,488,147,650,493, 66,201,572,706)
( 3, 75,409,194,277,213,158,315,169,445,623,711,122,292, 51,297,690,
384, 23,432,433,187,610,351, 82,134)( 4,274,611,233,513,287,644,486,
626,478,533,598,560,543,407,179, 5, 28,267,256,622,211,306,196,465,
718)( 6,141, 12,708, 95,391,126,218, 64,418,652,240,584,273,555,512,
291,214,268, 16,655,170,205,166,609,144)( 7, 27,336,696,178,368,629,
602,183,253, 62,357,128,526,460,406,365,588,311,243,184,399, 79,131,
265,723)( 8,334,666, 9,659,518,152,363,331,462,627,453,180, 20,202,
423,522,119,343,672,390,497,664, 59, 10,540)( 11,435,318,118,231,685,
276,682,683,660,120,656,625, 80,333,612,679,314,703,553,374,586,686,
408,516,608)( 13,642,496,515,221,461,459,366,517,698,504, 34,112,643,
328,197,607,648,207,490,415, 89,551,561,316, 17)( 14,669,216,730,393,
574, 73,323,136,352, 45,491,704,149,203,356,657, 65,668,424,549,599,
417,259, 93, 50)( 15,148,563,106,729,554,702,473, 47,694,414, 29,675,
404,472,528,337,371,260, 78,689,658,284,684,494,376)( 18,293,455,200,
298,182,422,313, 67,215,132, 92,353,361,272,520,720,204,678,559,450,
91,142,419,168,266)( 19,539,634,593,388,552,345,108,616,630,546,615,
116,570,437, 68,571,647,471,283,556,228,173,348,640,340)
( 21,151,692,412,475, 49,639,124,394, 97,442,263,529, 81,534,332,115,
542,381,137,511,566,613,489,632,354)( 22,372,523,705,564,156,139,279,
146,247,378,451,466,464,638,380,175,237,163,580,301,109,264,113,421,
536)( 24,426, 26,225,181,569,631,439,296,449,457,249,223,193,428,532,
484,531,289,628,557,110,206,506,521,597)( 25,716,725,198,232,295, 42,
294,724,633,129,577,401,377,709,387,447,257,441,601,578,400,239,229,
431,320)( 30,282,176,691,338,326,350,114,325,548,606,145,410,125,153,
507,341,721,524,133,359,502, 94,519,254,208)( 31, 96,470,157,677, 46,
335,567,474,227,503,402,252)( 33,719,161,509,177,383,545,250,581,505,
429,127,241,726,590, 60,482,185,430,434,386,164,636,172,468,244)
( 35,209,288,258,456,339,226,155,285, 98,235, 38,382, 58,299,728,165,
671,676,487,722,568, 44,617,159,413)( 37,222,329,575,154,635,707, 55,
403,349, 76,189,373, 43,364,138,463,312,308,614, 87,347,492, 57,286,
499)( 39,389,479,710,212,280,514,210,688,481, 53,438,637,192,477, 77,
41,186,191,653,251,270,604,355,327,255)( 40,693,234,105,346,319,230,
701,727,681,565,278, 48,712,261,500, 99,135,596,544,480,618,592,307,
56,324)( 52,375,104,579,150,547,661,670,527,121,444,454,591,290,541,
713,600,717,370,246,538,589, 61,446,667,362)( 54,646,594,199,101,495,
71,674,395,167,587,160,248, 88,385, 86,379,162,117,436,425,483,697,
304,102,624)( 63,605,358,330,190, 83,440,510,396,275,344,411,236,619,
585,219,397,498,245,714,281,322,649,309,665,367)( 69,562,103,525,695,
663,427,651,583,188,238,360,420,448,300,680,469,687,573,262,224,303,
458, 74,130,405)( 70,398, 72,603,305,369,620,530,269,195,537,645,342)
, ( 1,683,546,726,441,643,291,348,402,550,393,571,328,646)
( 2, 43,695,399,598,463,288,724,368, 35, 72,633,572,270)
( 3,120, 63, 76, 5,174,311)( 4,284,497,504, 71,334,178, 57,247,134,
235,273,564,662)( 6,593,461,298,104,215,398,258, 87,295,473,370, 65,
391)( 7, 51,330,105,725,123,136,346,379,712,339,450,158,707)
( 8,222, 10,430,415,487, 32,700,709,681,312,427,531, 24)
( 9,420,580,674,635, 59,194,503, 84,245,716,501,432, 38)
( 11,323,144,186,347,505,512,596,601,353, 48,409, 97, 78)
( 12,216,384,611,718,204, 16, 53,147,602,249,562,359, 75)
( 13,226,530,636,445,533,680)( 14,424,730,686,474,117,587,703,475,632,
583,606,228,277)( 15,595,456, 88, 68,106,645,160,675,234,481,491,621,
229)( 17,472,306,269,361,640,202,253,509, 31,225,126,127,327)
( 18,362,331,556,600,240, 50, 56,394,230,264,591,482,644)
( 19,526,116,201,103,203,400,410,425,629,510,232,364,179)
( 20,603,522,382,581,259,102,498,616,300,342,221,622,167)
( 21,693,452,304,378, 23,561)( 22,690,619,448,268,170,423,699,499,137,
302,488, 55,567)( 25,496,618,411,133,198,532,408,588,305,345,715,436,
261)( 26,205,604,146,418,468,149,124,551,543,122,107,486,480)
( 27,523,631,337,159,185,624,455, 60, 89, 86,390,315, 62)
( 28,278,529,684,540,656,665,351,569, 39,357,609,666,256)
( 29,495,697, 79,118, 99,352,236,224,324,243,615,344, 58)
( 30,471,389,721,421, 90,642,363,655,568, 61, 69,100,254)
( 33,705,140,112,444,132,207,446,377,153,706,326,694,617)
( 34,442,333,518,165,673,528,322,231,189,383,156, 45,639)
( 36,145,371,110,283,381,536,262,507,660,465,458,303,239)
( 37,210,135,613, 91,548,630,539,206,650,148,500,208,395)
( 40,307,113,612,534,130,479, 82,321,428,403, 47,506,169)
( 41,375,493,544,251,214,374,623,453,119, 74,659,242,414)
( 42,161,164,341,513,610,129,193, 81,459,329,677,634,547)
( 44,212,720,676,641,649,443,426,682,494,559,565,338,605)
( 46,320,608,460,177,266,166,296,558,143,710,485,413,196)
( 49,171,387,435,396,538,272,620,439,462,449,407,661, 98)
( 52,667,310,313,184,585,626,519,125,723,151,293,317,250)
( 54,698,678,717,574,589,366, 93,404,244,227,182,654,597)
( 64,199,195,582,223,692,557)( 66,172,702,590,483,285,281,257,679,663,
560,685,101,332)( 67,545,200,554,114,162,163,280,340,492,429,502,594,
669)( 70,152,406,267,233,521,457,173,213,440,219,696,252,438)
( 73,713,289,358,416,466, 80,354,388,467,365,211,290,197)
( 77,412,154,183,607,275,437,584,657,372,279,276,668,401)
( 83,579,433,297,586,350, 96,711,271,155,592,701,316,385)
( 85,336,180,376,688,447,301,515,672,292,469,265,614,729)
( 92,181,318,111,727,150,397,286,566,299,527,520,282,552)
( 94,687,255,142,517,373,664,578,335,121,309,220,238,470)
( 95,274,192,691,577,648,431,218,516,422,541,356,108,628)
(109,355,360,508,419,128,191,625,319,349,599,670,325,115)
(131,417,525,464,652,392,138,647,651,314,576,386,553,451)
(139,555,573,627,653,294,343,549,246,477,209,524,369,490)
(141,658,689,570,722,175,728,638,484,476,708,434,535,405)
(157,190,287,188,714,637,537,248,575,380,367,563,263,489)
(168,719,671,187,308,514,176,260,217,241,478,454,542,511)(237,704) ]
],
[ 7, 387419760, 0, "2", [ [ 729, 1 ] ], 3, "PSL(2, 3^6).2",
[ "L", [ 2, 729 ], 1 ],
[ ( 1,107,441,340,708,707,587,533,396,559,369,156,449,164,301,591, 95,531,
126,207,351,697,360,601,689,550, 34,460,344,476,553,584,389,712,714,
328,296,366,506,364,424,500,198,609,105,281,400,208,306,495,619,345,
348, 99,182,524,235,679,565,678,315,252,555,456,195,227,180, 50, 70,
598,417,510,597, 66,265,352,445,264, 62, 82,682,635,667,406,307,610,
547,184,297,183,627,338,680, 33,514,517,243,367,556,654,462,581, 27,
253,664,362,438,498,356,496,566,534,148,150,473,278,309,386,518,402,
98,312,173,261,502,165,511,655, 6,331, 37,271,561,698,413,706,493,
303,466,329,275,155,154,522,421, 25,131,399,569,647,311, 18,269,418,
528,632,203,247,270,540,321,192,508,579, 59,616,144,729,125,147,443,
407,177,193,316,304,191,703,428,115,727,640,624, 24,491,110,377,478,
236, 71,330, 53,169,223,599,652,241,427,213,574,106,650,136,333,554,
385,694,167,539,414, 14,379,282,620,560, 74,146,347, 20,467,244,717,
87,691,646,387, 41,461,509,277,101,474,634,530,459,121, 4,163,648,
686,446,603,286,284,468,218,162,300,295,226,392,543,677,673,519,431,
343,189,185,319,470,636,567,562,700,644,394,578,576,259,416,176,214,
699,128, 11,403,332,228,388, 31,585,353,401, 91,475,216,171, 45,145,
618,395,112,515,716, 58,302,242,580,483,118,448,323,695,168,477,308,
529,726,212, 26,288,649,435,621,210,263,639,693, 79,532, 61,626,384,
485, 22,371,108,238,222,135, 17,434,159,671,558,546,669,685,455,419,
715, 7,133,718,246, 73,283,354,670,541,322,592,615,659,230,334,444,
593,114,551,215,293,463)( 2,250,586, 54,487,220, 96,523,505, 57,166,
453, 85, 92,513, 3,324,249,656,430,132, 5,291,520,482, 64,149,723,
38,245,426,687,290,196,103,391,668,657,643,604,299,606,692,542,410,
688,305,611,465,442,232,447,187,153, 44,710,481,728,202, 23,425,408,
221, 21,683,429,497,412,260, 63,257,440,568, 83,614,279, 97,268,272,
285,393,704,363,545,200,608,151,549, 43,638,423,537, 76,722,486, 32,
211, 67,721,702, 93,229,607,116,507,287,327, 84,464, 28,181,240,137,
588,178,405,113,676,120,525, 8, 77,374, 90,589,102,157,390,492,582,
117,458, 80, 81,719,143, 51, 52,404, 15,280,370,472,705, 30,273, 42,
488, 55,124,337, 12,186, 19,457,684,274,725,622,681,104,398, 48,535,
575,355, 16,255,633, 39,160,141, 65,651,100,376,140, 56,325,439,224,
89,313,711,254,662,317,499,158,469,577,590,594, 35,583,248, 49,294,
422,605, 69,602,450,365,433,179,111,641,454,437,109,660,134,381,152,
88,709,675,415,630,420,397,251,557,174,452,320,170,256,563,258,219,
205,194,471, 29,666,572,175,436,617, 94,139,713, 68,380,342,571,127,
730,432,206,613,538,129,349, 40, 47,409,696, 75,357,339, 36,642,375,
78,276,612,130,411,350,335,233,204,628,373,484,536,361,490,209,123,
292,645,625,672,231,494, 86,504,382,197,690,289,318,336,266, 10,600,
552, 60,225,119,701,341,188,720,503,239,479,201,298,138,663,314,516,
346,548,199,724,564,661,383,623,359,142,674,521,161, 13,637, 72,310,
262,122,596,526,544,573,172,665,480,358, 46,368,631,190,237,217,570,
9,653,372,501,326,378,489,234,658,629,527,512,451),
( 1,324,701, 23,233,455, 35,288,466,448,507,545,343,290,492,433,591,
652, 8,526,442,325,311,276,468,580, 64,218,553,371,269, 62,140,117,
665,415,169, 2,623,594,427,138,286,499,648,582,136,344,203, 78,196,
422,381,546, 68,437)( 3,447,228,559,244,528,514,151, 74, 69,609,660,
71,243,332,641,161,496,704,323, 48,431, 28,285,275, 29,277,467,417,
387,134, 50,333,182,156,379,485,714,327,390,211,214,260,279,354,425,
460,726,213,681,440,263,414,320,155,331)( 4,708,673,297,322,175,500,
385,278, 18, 66,689,490,204,493,475,160, 25, 63,242,234,312,619,195,
613,202, 77,486,471,237,552,174, 85,653,543,565, 13,261,643,464, 97,
638,479, 46,667, 45,396,547,454,713,459, 16, 56,403,102,110)
( 5,132,658,248,478,259,226,316,438,628,122,583, 98,154,723,300,382,
365,317,189,654,595,229,200,416,397,624,529, 84,192, 90,112,677,550,
363,294,386,148, 81,256,725, 83,305,668,315,336,602,649,562,510,212,
428,220, 51,188, 20)( 6,716,629,532,298, 44,720,453,426,487,347,230,
497,105,606,399, 11,491,170,173, 9,470, 99,224,585,540,663,400,635,
373,446,210,239,710,185,730,697, 37,357,326,249,166,150, 19,590,449,
587,614,709,567,691,191,411,541,617,408)( 7,309,699, 95,621,231,356,
597,676, 60,116,622,107,420, 70,306,314,360,512,581,401,506,659,721,
444, 30,521,694,258,190,558,215,647,392,679,128,227,504,184, 22,711,
684,682, 91,683,118,299,452,370, 52,329,308,272,503,675,717)
( 10,557,106, 75,201,451,241,187,167,364, 61,389,538,615,103,549,334,
588,536, 73,640,728,537,219,295,273,702,159,283,687,434,519,143,712,
31,348, 57,484, 49,270,372,592,172, 76,313,271,158,527,177,127,238,
461,186,488,287,625)( 12,183,695,642,130,100,560,482,413,666,253,566,
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516,406,419, 88, 86,180, 89,474,513,349,301, 92, 79,126,257,535,636,
47,575,593,477,171,523, 38,120,388,125)( 14,517,656,208,405,361,342,
729, 93,303,377,254,384, 53,267,657,337,146,554,289,104, 34,375,131,
620,291,561,124,194,556,404,255,282,142,601, 33,469,157,176,501,563,
235,596,727, 32, 80,534,441,533,715,671,577,115,164,318,462)
( 15,284,520, 42,706,669,121, 43,328,245,705,476,380, 41,432,518,129,
412,539,338,149,378,611,473,205,569,240,292,398,393,637,341,221,402,
639,421,144,266,631,407,555,207, 55,530,362,522,664,548, 96,436,616,
145,123,296, 54,607)( 17,236,707, 72,264,113,274,544,584,346,498,608,
193,578,216,511,632,198,489,383,495,376,685,443,163,661,350,293,655,
152,262,686,197,410,586,644,481,439,457,310,141, 26,353,515,101,111,
651,268,574,137,391,571,359,718,367, 87)( 21,252,321, 94, 58,423,135,
246,650,445,178,162, 67,302,265,304,509,551,472,531,463,605,633,418,
223,247,688,508,610,700,572,505,634, 65,307,335,250,351,209,576,280,
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600,698,722,430,719, 40,429,450,330,147,222,199,612,604,394,251,340,
458,133,603,674, 59,646,564,724,525,480,456,570,693,409,483,568,645,
703,217, 82,524,232)(114,465) ] ],
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[ ( 1,593,655, 66,202, 23,552,277,161, 62,723, 31,474,688,331,423,363, 89,
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316, 60,640, 88,510,479,455,666,405, 93,697, 11,721,654,536,435, 41,
500,345,358,353)( 3,561,703,103,569,324,146,580,175,187,633,368, 33,
156,642,486,709, 94,590,153,583,412,544,250, 27,192,167,549)
( 4,608,296, 35,246,222,191,613, 61,641,385,257,315, 25,179,571,600,
699,348,343,356,201,660,266,165, 47,710,690)( 5,236,155,425,170,271,
173,126,416,494,716,556,387,636,629,588,369,537,306,729,684,554,643,
48,372,543,117,718)( 6,120,362,591,221,648,399,519,662,550,244,209,
408,476,693,273,261, 74,241,564,606,237, 83,183,621,238,245,299)
( 7,208,459,230,631,388,340,614,495,217,297,322,535,714,506,184, 40,
566,360, 16,448,724,240,657,323,632,594,419)( 8,225,293,492,457,151,
39,182,302, 53,480,110,339,581,695,402,456,463, 80,518,618,464, 95,
137,460,627,440,428)( 9,133, 36,224,421,226,515,422,602,612,338,278,
370, 13,227,670,708,639,540,424,149,678,499,635, 46,108,700,310)
( 10,327,680,452,398,287,625, 90,371,604,162,196,197,160,524,466,417,
243,320,216,664,305,418,719,294,148,454,309)( 12, 67,258,174, 71,624,
269,300,292,307,119,597,647,141,609,154,413, 32,115,489,503,427, 42,
319,658, 45,616,144)( 14, 86,725,585,637,139,533,426,603,114,112,259,
334,301, 91,181, 30,567,349,326,328,106,354,260,410,180,220,445)
( 15,650,129,449,124,384,649,267,523,251,136,470,125,551,223, 29,638,
312,574,359,645,200,507,415,462,304,390,325)( 17,702,395,164,332,113,
72, 65,314,145,715,207,285,575,528,430,531,276,546,465,696,713,584,
158,329,653, 58,147)( 18,446, 24,578, 38, 57,229, 82,411,248,579,529,
487,605,364,262,268,570,508,437,525,438,211,491,652, 75,204,143)
( 19,559,542,171,232,219, 84,498,704, 79,234,646,188,218,651,711,512,
628, 26,102,511,138,365,502,496,592,730,228)( 20,265,281,351,272,447,
488,346,335,726,233,344, 78,270,538,321,679,596,308,128,383,667,100,
169,620,673,295,516)( 21,374,691,392,247,553,407,712,283,396, 37,485,
381,458,284,235,177,541,504,505,539, 97,330,611, 76,414,303,249)
( 22,380,163,431,623,357,468,705,366,355,213,254,429,350,420,436,681,
185,406, 28, 81,532,601, 34,318,573,393,105)( 43,382,659,274,198,212,
586,669,288,547, 92,560, 54,104,582,394,409,401,432, 77,630,527,443,
634,689,557, 85,656)( 44,461,707,253,685,341,135,661,517,195,717,166,
379,404,484,206, 87,361,313, 70,471,242,493,694,282,107, 69,378)
( 49,210,490,263,176,264,193,131,433,439,337, 96,214,172,122,453,290,
619,472,644,663,123,677,255,683,558,497,626)( 50,483,513, 55,467,622,
727,203,617,482,469,530,159,142,682,473,701,109,205,199,336,563,190,
599,675, 73,189,720)( 51,686,376,311,397,239,286,194,501, 56,342,127,
389, 63,672,478,150,576,231,565,450,178,434, 52,317,577,252,572)
( 59,545,668,333, 68,514,526,121,555,377,132,598,728,140,698,152,534,
509,674,451,157,289,118,548,111,607,722,215)( 64,116,706,615,687,256,
481,521,291,441,347,595,373,375,352,134,671,520,610,400,367,442,589,
587, 98,275,168,562), ( 1,460,200,117,282,114,226,274, 82)
( 2,148,486,578,515,367,564,388,665)( 3,455,574,241,712,147,653, 5,
434)( 4,178,398,288,663,323,521, 80,700)( 6,150,678,619,155,523,
380,432, 69)( 7,583,263,414,494, 34,396,292, 83)( 8,533,560,462,
209,474,646,724,592)( 9,689,369,307,133,529,188,531,416)
( 10,259,127,105,395,651,346,271,693)( 11, 76,461,496,684,353,594,500,
256)( 12,552,715,162,358,143,285,128,541)( 13,717,420,126,696,320,
475,623,272)( 14, 71,206,203, 26,503,132,108,501)( 15,727,196,332,
545,247,686,417,630)( 16, 95,169,404,183,315,419,261,571)
( 17,198,716,490,608,429,697,520,559)( 18,409,266,387,554,435,170, 63,
456)( 19,698,669,694,586,692,179,190,219)( 20,690,165,202,518,201,
510, 93,620)( 21,348,553,433,238, 75,671,372,158)( 22,502,399,252,
142,137,705, 68,299)( 23,544,244,547, 99,628,711,481,231)
( 24,153,351,685,386,276,626,670,704)( 25, 86,483,405,702,674,225,588,
539)( 27,167,144, 79,211,445,511,572,522)( 28,140,607,212,485,576,
666,617, 73)( 29,329,411,300,322,591,125,587,640)( 30,569,152,222,
664,229,311,328,530)( 31, 33,385,681,138,161,525,234,340)
( 32,695,476,558, 50,154,488,118, 66)( 35,199,632,450,548, 74,410,661,
637)( 36,171,120,627,468,265,177,173,611)( 37,268,710,600,446,655,
42, 45,495)( 38,318,221,304,577, 72,585,185,175)( 39,223,528,439,
565,365, 56,113,679)( 40,281,141,721, 60,680, 84,423,465)
( 41,301,478,357,444, 44,104,609,427)( 43,624,532,194,709,172,306,556,
606)( 46,597,366,430,584,437,443,216,391)( 47, 94,562,638,676,701,
497,338,514)( 48,440,643,719,536,149,650,641,723)( 49,115,302,428,
245,436,376,688,326)( 51,652,457,708,699,250,687,422,208)
( 52,100,537,612,240,275,615,527,375)( 53,270, 58,355,658,124,106,255,
397)( 54,614,504,473,393,287,509,251,656)( 55,713,232,668,487,296,
294,284,195)( 57,139,218,189,384,239,534,438,408)( 59,324,119, 62,
325,469,622,381,157)( 61,130, 91, 92,193,382, 64,575,180)
( 65,464,101,230, 70,477,373,394,596)( 67,648,235,601,603,635, 98,566,
618)( 77,343,691,458,540,390, 90,262,187)( 78,258,359,197,145,505,
573,305,103)( 81,718,413,341,342,491,207,659,579)( 85,412,543,327,
134,243,249,331,312)( 87,347,102,352,589,463,345,425,507)
( 88,707,466,706,184,424,484,657,217)( 89,570,389,370,317,512,636,633,
662)( 96,107,493,672,447,273,110,379,454)( 97,526,593,356,286,467,
489,159,333)(109,164,506,451,472,407,561,654,330)(111,295,210,383,
227,280,682,567,604)(112,136,400,160,361,392,703,421,214)
(116,629,350,642,228,293,186,406,349)(121,480,264,516,631,224,599,368,
639)(122,204,616,546,339,277,316,233,550)(123,605,278,248,151,260,
166,726,667)(129,220,441,677,401,335,257,181,470)(131,613,364,362,
610,314,431,582,303)(135,498,269,730,675,649,191,215,449)
(146,728,683,725,580,634,309,336,590)(156,660,557,714,542,673,581,471,
448)(163,283,508,595,237,426,647,308,551)(168,290,313,344,535,538,
267,236,253)(174,513,418,720,289,321,598,334,213)(176,482,297,459,
377,192,729,492,182)(205,402,246,555,354,625,517,254,298)
(242,363,310,519,452,371,524,644,360)(279,442,645,415,479,549,403,378,
374)(291,602,568,563,453,319,722,499,621) ] ],
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170,332,442,117,359,531,561)( 4,147,611,542,382,590,627,565,108,631,
196,446, 38, 22)( 5, 68,338, 24,294,357,246,137,473,128,234,619,225,
116)( 6,213,453,582,228,488,698,675,239,553,519,337,311,620)
( 7,355,589,141, 21,705,685,410,682,407,387,341,221,503)
( 8,150,264, 98,212,354,214,270,291,269, 93, 71, 92,148)
( 9,111,672,133, 65, 58,189, 81,441, 77,662,645,545,613)
( 10,577,523,438,637,720,418, 43, 12,583,506,362,349,105)
( 11,451,546,641,351,197,695,377,422,181,670,715,397,165)
( 13,730,586,509,350,319,674,372,455,654,569,515,352,257)
( 14, 85,334,500,164,321,237,185,437,345,518, 84,440,704)
( 15,478,692,429,596, 53,193,398,485,723,303,483,624,378)
( 16,482,628,452,551,200,162,541,640,464,610,346,283, 79)
( 17,655,177,125, 41,198,592, 28,277,348,388,652,278,574)
( 18,155,383,533,118,665, 42,253,265,368,584,191,202,194)
( 19,579,630,335, 27,462,513,343,376,375,146,216,717,716)
( 20,102,187,719,142,514,622)( 23,564,172,648,180,576,487,161,494,501,
314,657,374,595)( 25,573,539,123,417,394,604,134,510,639,149,356,472,
51)( 26,226, 50,218,489,456, 90,707,183,327,386,230, 87,370)
( 29,566,664, 52, 91,486, 95,360,713,205, 73,414,450,249)
( 31, 34,295,154,208, 67,328,331,572,721,469,623,371,520)
( 32,554,448,209,493,490,325,463,495,174,103,138,302,243)
( 33, 76,403,250,361, 61,615,512,690,696,195,540,424,669)
( 35,179,385,272,636,603,144,312,136,336,722,275,132,706)
( 36,206,474,608,480,727,276,594,544, 89,643,517,211,530)
( 37,602,599,153,644,538,330,119, 60,224,259,188,597,629)
( 39,593,677,318,543, 46,521,261,568,693,467, 94,726,534)
( 40,100,279,728,492,395,507,152,686,688,439,236,673,163)
( 44,415,499,323,558,366,268,625,399,524,101,571,316,549)
( 45,426,227,296,120,143,409, 72,235,433,176,567,217,679)
( 47, 56,288,555,711,535,671,287,563,231, 55,292, 49,460)
( 48,591,598,201,605,516,182,444,190,528,339,497,718,435)
( 54,298, 64,308, 99,680, 82, 96, 69,293,266,280,412,263)
( 57,701,699,401,443,556,660,436,729, 63,445,115,248,233)
( 59,369,607,694,169,309,496,663,400,614,347,714,468,609)
( 62,258,504,621,617,635,457,475,471,588,104,300,634,458)
( 66,135,666,317,413,145,525,186,659,127,290,683,219,242)
( 70,307,131,529, 75,421,557,381,537, 74,306,315,632,313)
( 78,139,392,700,223,284,389,560,425,274, 88,667,532,703)
( 80,124,466,681,240,122,411,626,238,282,106,380,712,256)
( 83,262,322,199,419,126,653,404,406,210,585,697,600,364)
( 86,365,612,484,618,156,326,562,151,575,449,273,548,498)
( 97,109,320,427,244,559,709,207,344,168,160,171,508,724)(107,255)
(110,390,178,203,159,184,702,252,587,676,158,204,416,505)
(114,247,647,299,363,656,432,536,649,691,393,391,305,129)
(121,522,434,616,638,581,405)(130,684,725,140,431,661,222,367,408,232,
601,384,708,491)(166,461,254,527,465,502,710,550,481,215,358,340,324,
646)(173,304,297,229,420,251,353,479,547,447,430,285,651,281)
(175,260,342,470,578,220,373)(241,687,511,454,476,658,570),
( 1,380,671,169,249,309,693,183,675,211,513,243,585,579,206,498,549,
645, 67,447,398,456,540,462, 49,607,374, 77,337, 32,420,240,415,452,
45,586,191,318,524,272,320,719,699,188,722,384,176,392, 48,441,251,
195,136,124, 28, 59, 43,562,461,672,436,281,224,170,203, 52, 71,434,
386,695,430,687, 14,351,480, 12,308,715,603, 6,422,131,253,160, 61,
23,537,466,360,364,244,247,510,653, 70,470,219,327,504,638,313,690,
113,194,250,491,563,255,355, 15,301,559,528,293,280,599, 37,478,444,
718,300,474,472,350,324,570,429,394, 85,458,640,162,395,152,704,112,
207,619,363,107,519,614, 22,574,331,564, 86,268,641,332,297,156,402,
376,254,252,426, 8,282,248,689,127,446,433,198,167,425,711,371,471,
163,235,476,532,613, 36,413, 88,222,399,507,256,656, 73,216,479,482,
362,366,260,189,703,665,566,473,595,304,720,123, 11,418,714,246,375,
712, 39,296, 31,340,292,655,674,523,556,502,445,290, 54,265,164,683,
667,698,602,590,531,475,285,678,334,550,342, 4,538, 27, 7,406,454,
202,408,535,140,681,274,311,486,306,694,389,649,352,119,677,264,186,
270,328,279,659, 81,177,228,520,147,141,483,213,515, 51,543, 33,417,
477,557, 55,346,725, 65, 56,385,157, 10,624, 29,554,287,451,576,373,
489,217,679,120,650, 79,105,608,449,121,104,225, 16, 94,397,487,611,
700,143,192,721,572,499,610,696,505,465,109,365,151, 18, 89, 17,377,
500,663,717,688,197,625,545, 90,666,171,503,409,196,379,629,356,200,
390,204,129,161, 35,122,303,551,305,238, 99,407, 92,210, 42,404,630,
664, 80,149,125, 75,330,294,220,729,548,383,544,325,190,335, 50,323,
388,312,658, 82,316, 66,623,333,464,514,106,512,126,481,669,560,358,
58, 98,594,242,315,419,144,485,657, 87,573,596,199, 72,257, 83,231,
145,553,416,139,493,730,283, 95,435,187,184,230,701,289,686,618,412,
114,580,492,702,302,295,128,589,633,218,134,707,680,546,142,455,258,
460,685,467,367,381,158,427,267,185,567,457,652,278, 21,558,578, 84,
662,547, 34,588,276,723,387,609,490,648,205,713,348,133,263,706,357,
400,298,440,616,135,382,561,571,354,552,321,453,229,288,201,724,673,
215, 91,517,494, 44,111,100,284,193,208,728,518,533,442,626,615,682,
232,209,635,511, 53, 2,525,438,497,273,405,174,372,155,165,344,591,
110,286,428,326,369, 20,463,593,378, 13,521, 78,236,117,339, 3,450,
138,692,179, 64,642,148,168,705,448, 74,269,159,541,459,299,568,345,
359,259, 41,266,468,271,584,180, 46, 19,592,508, 93,137,598,431,424,
24,234,146,612,314,108, 40,437, 25,496,542,539,291,631,443,726,233,
587,310,173,581,495,643,469,654,527,130,153,639, 69,241,582,307,411,
484,132,628,668,368,166, 57,245,600,214,620,212,262,393,103,660,410,
644, 68,414,338,403,676,391,536,401,182,343,178,727,506,432,396,651,
601,577,646, 62, 96,322,684,516,634,319,627,488,421,175,423,604,691,
565,597,522,336,526,370, 97,347,530,317,223,555, 60,636,181,101,529,
38, 9, 63,226,349,709,637,708,575,361,617,261,221, 30,116,227,154,
5,534,583, 26,115,239,329,632,710,501,622,605,277,118,621,647, 76,
606, 47,509,237,353,150,275,439,172,697,102,716,569,341,670,661) ] ],
[ 10, 1162259280, 0, "2", [ [ 729, 1 ] ], 3, "PSL(2, 3^6).6",
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651,725,645,488, 49,537,305,496,594,220,257,390,355,582,564,694,542,
354,523, 91,297,710,337,623,396,528,181,418,467,529,164,106,613,596,
186,678,400,392,687,388,241, 68,449,470,201,273,268, 71,198,703,314,
423, 79,412,456,689,429,425, 99,553,621, 36, 45,571,657,499, 30,654,
702,357,363,481,232,399,566,317,435,441, 96,144, 38,299,141,227, 23,
32,177,245,699,373,369,109,342,386,719,375,484, 95,600,727,530,525,
597,328,349,730,557,410,111,406,398,120,612,202,185,692,634,269,331,
380,617,270,402,175,461, 88,501,707,275,444,256,104,234,216,443,408,
541,578,204,302,493,261, 19,310,153, 73,147,686,108,476,248,344,316,
368,684,432,514,567, 10,213,339,419,237,140,280,325, 29,552,588, 66,
696,152, 28,622, 5, 55, 80,519, 85,652,247, 67,209,672,478, 25,695,
656,543,644,649,558,619,479,195, 70, 51,650,474,341,224,626,442, 11,
666,573,136,258,221,135,377,624, 89, 59,285,675,350,358,404,424,361,
583, 93,171,477,127, 74,417, 86, 12,283,161,265,336,625, 54, 8,601,
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282,217, 76,647,492,673,544,304,667,315,546,487, 92,452,535,291,683,
143,701,403, 50,295,605,348,485,191, 75,238,162,445,372,635,134,630,
413,301, 77,249,296,300,312,389,208,653,101,602,340,524,563,431,584,
527,559,116, 90,365,536,434,475,700,628,212, 62,286,715,436,641,415,
565,352,660,611,178,189,192,335,100,124,511,610,128,345,629, 27,428,
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159,329,642, 24,495,480, 69,451,427,289,659,532,575,714,158,643,334,
547, 72,165,531,604,236,510, 46,455,351, 64,608,572,277,113,407,206,
281,166,591,222,244,693, 21,505,615,422,107,500,294,545,648, 52,595,
568,401,121,717,618,129, 26,661,242,665,539,411,599,184,460,579,228,
7,466,465,491, 33,117,384,489, 3, 82,598, 15, 34, 53,200,716, 65,
309,414,681, 35,307,333,332, 61,570,219,338,614,199,387,259,133,556,
137, 42,669,180, 81,677,397,230,203, 16,150,253,504,298,691,376,183,
293, 47,105,554,576,207,632,517,592,391,685,521,226,190, 4,447,343,
22,288,562,194,267,633,726,251,464,155,640, 84,223,266,139,509,371,
347,729,318,303, 44,156,469,639,260,420,490,508,167,359,534,593, 78,
616,679,526,243,330,276,676,569,370, 41,169,453,670,188,287,674,698,
463,606,609,620,187,138,446,233,383,157,362, 83,512, 6,586,170, 98,
323,364,262,433,708,682,239,271,214,367,235,274,458,196,697,145,590,
409,486,498,502,549,721,497,385,168,664,163,426,353,636,560,723,607,
313,450,193,503, 18,395, 97,655,115,507,263,346,706,311,252,483,131,
494,254,125,306,151,722,581,516,438,118, 20,688,587, 87, 37,327,580,
278,416,250,160, 94,292,472,393,197, 60, 14,173,462,533,637,515, 56,
712,381,724,671,321,627,705,215,437,374,394,440,448,123,513, 9,709,
174,421,663,577,540,662,225,132, 57,356,172,574,457,324,148, 17,728,
603,319,179,240,149,154,255,142,103, 43,320,126,589),
( 1,629,209,648,662,146)( 2, 75,150,233,152,573)( 3, 27,676,702, 77,
491)( 4,685,672,466,139,384)( 5,299,516,689,710,570)
( 6,594,246,227,380,479)( 7, 19,438,151,605,336)( 8,630,506,215,
12,165)( 9,538,307,366,582,402)( 10,585,197,698,149,236)
( 11,609,450,465, 52,628)( 13, 26,339,378,110,583)( 14,143,240,126,
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( 17,568,489,390,331,332)( 18, 72,173,541,312,417)( 20,144,460,529,
727,719)( 21,470,320, 67,661,499)( 22,419,132,290,486,131)
( 23,500,462, 54,603,655)( 24,635,261,523,121,530)( 25,559,426,108,
520,177)( 28,310,660,211,301,404)( 29,253,271,612, 49,179)
( 30,694, 90, 51,407,525)( 31,623,577,415,459,485)( 32,208,231,365,
647,666)( 33,537,347,552,553,514)( 34,716,123,243,292,359)
( 35, 88,586,120,439,664)( 36,502, 39,561,566,303)( 37,497,507,296,
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( 41,659, 81,327,608,278)( 42,257,119,658,436,360)( 43,584,487,458,
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( 47,166,471,441,129,422)( 48,297,182,163,133,269)( 50,709,232,533,
315,342)( 53,101,377,142,294,611)( 55,234,203,410, 57,219)
( 56,597,569,157,283,488)( 59,395,551,370,194,117)( 60,447,398,693,
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( 63,576,522,696,181,699)( 64,663,171,258,103,607)( 65,442, 93,355,
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( 70,230,199,539,328,621)( 71,391, 73,617,724,411)( 78, 83,490,154,
535,304)( 79,250,309,140,591,344)( 80,606,650,265,183,505)
( 82,317,202,107,668,371)( 84,172,319,372,432,196)( 85,473,118,644,
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( 89,288,429,669,136,715)( 91,564)( 92,604,692,170,681,498)
( 94,223,340,127,706,201)( 96,515,572,352,690,558)( 97,519,130,148,
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(104,557,638,645,135,235)(105,600,634,175,167,322)(106,649,430,251,
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(113,397,425,158,633,188)(114,256,509,571,153,351)(115,160,267,239,
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(125,687,363,244,613,353)(128,220,575,306,375,180)(137,546)
(138,642,721,408,185,636)(141,467,639,263,252,205)(145,711,654,379,
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(156,700,289,589,599,504)(161,503,376,364,707,162)(168,189,588,329,
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(176,590,579,494,627,330)(178,601,279,406,472,496)(187,665,469,268,
192,281)(193,708,345,259,593,683)(195,508,245,720,387,421)
(200,275,445,543,592,433)(204,616,413,723,677,313)(210,343,701,619,
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(217,298,350,686,713,578)(224,468,266,463,620,452)(225,637,455,357,
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(238,501,405,326,305,247)(255,367,554,451,632,385)(262,476,614,580,
314,703)(264,532,726,400,293,705)(272,596,544,626,527,640)(277,510)
(316,728,399,567,545,531)(318,414,555,420,524,416)(338,361,526,688,
562,428)(362,393,730,718,403,646)(431,517,550,483,641,657)
(454,565,625,540,695,624) ] ],
[ 11, 1162259280, 0, "2", [ [ 729, 1 ] ], 2, "PSL(2, 3^6).6",
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547,221,324)( 5,434,128, 84,170,338, 87,568,600,655,409,618,166,421,
446,687, 52,201)( 6,100,181,534,209,609,230,276,509,536,724,306,518,
224,431,544, 23,142)( 7,323,578,530,112,590, 72,612,299,391,481,251,
237,519,184,129,493,298)( 8, 29,607,664,420,106,347,662,331,683,485,
435,669,217,726,279,255,143)( 10,134,364,658,269,445,550,387, 46,555,
635,424,297,728,622,565, 22,505)( 11,360,682, 44,700,227,380,708,147,
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120, 85,115,104,448,665,506,513,344,529)( 13,334,716,271, 37,280,278,
554,372,342,709, 60, 70,383,569,656,407,474)( 14,539,585,577,584,374,
718,558,447,320,461, 26,516,213,425,679,303,483)( 15, 74,459,722,458,
537,182,240,260,289,501,114,206,141,244,592,256,538)( 16,713,422,591,
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212,390,551, 31,158,405)( 19,225,698,239, 39, 42,719,368,532,517,272,
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352,673,317)( 32,223,512, 89,382,381,548,470, 98,689,287,301,397,587,
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300,327,307,264,154,563)( 38,197,105,393,443,205,581,476,358,238,258,
110,572,631,494,614,475,321)( 40,632,262,153,210,503,660,194,486,426,
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124,562,570,125,643, 54,267,452,127)( 47,557,659,274,676,439,717,696,
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296,605,674,627,647, 56,121,304,460,571,413)( 57,249,690,400,379, 99,
386,680,524,598,525,608,349,438,312,629,185,254)( 58,228, 66,245,666,
226, 71,401,339,714,712,198,654, 90,177,330,649,167)( 62,522,706,138,
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( 63,169,477,599,102,725, 77,703,286,332,361,116,588,610,310,333,444,
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(107,211,416,633,231,220,218,389,451,149,661,453,316,428,367,582,727,
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495,266)(144,626,456,462,208,573,155,168,192,270,396,510,675,701,174,
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188,250,346,408), ( 1,226,398,352,558,498,265,531,234,151,547,526,
70,285,238, 7,637,342, 39,672,450,470,295,658,697,453,385, 19,583,
147,623, 56,651,441,530,669,362,216,335, 71,113,140, 53,645,378,180,
128,357,172,500,277,472,115,620,395, 38,233, 10,338,153,382,330,132,
595,457,370,397,439,175,294,148,571,710, 69,589,454,617,363,657,491,
125, 57,543,582,215, 40, 60,568,471,168,603,503,272,225,440,714,693,
359,276,709,245, 12,682,158,112,284,509,274,159,308,708, 41, 13, 8,
137,229,700,179,490,109,662,599,381, 30,183,643,403,289,634,720,379,
50,434,186,119,251, 44,560,155,689,461, 36,205,581,248, 9,367,224,
675,161,393, 66,538, 31,561,375,364,674, 35,193,605,300,539,556,683,
618,647,366,184,552,546,644,729,418,483,584, 96,590,297, 82,435, 79,
536,369,621,217,219,220,204,518,104,400,278,413,664,569, 21,505,463,
639,407,380, 90,247,283,365,244,507,138,588,162,178,533,354,410, 89,
513,264,268,575,542,486,523,494,627, 23, 67,525,167, 34,676,719,182,
528,703,191,319,537,712,328,521,564,476,343,715,443,487,613, 16,717,
24,698,665,242,246,727,421,100,156,707,332,348,652,372, 3,266,145,
227,263,420,130,103,601, 47, 5,489,671,576, 97,232,110,406,722,306,
290,291,293,619,141,704,431, 75,428,213,650,414,656, 27, 92,511,596,
694,688,326,144,593,622,557,684,701,210,635,317,475,566,146,135,679,
479,702,444,117,349,565,286,143,501,262,659,305,474, 49,551,355,680,
466,259,391,324, 76,460,131,520,606,221,107,597,327,480,129,641,578,
401, 20,331,540,281,373,502,497,469,532,202,351,236)( 2,206,723,207,
448,108, 77,642,604,201,341,154, 65, 51,122,430,455,711, 81, 32,311,
195,649, 42,573,425,231,114,592,209,292,387,728,280, 15, 48,339,624,
574,504, 28,427,467,189,320,344,212, 87,699,269,686,436,323,706,214,
72,239,136,257,333,340,282,211,150,310,681,223,510,273,451,346,726,
673,633,134,313,602,411,203,422,198,288,610, 17,586,188,506,527, 54,
572,256,165, 26,625,249,535,124,447, 46, 95,563,361,255,149,677,415,
464, 63,386,705,261,615,484,345,254,668,456,713, 4,322,654,493,630,
222,312, 88,307, 99,638,197,376,607,567,514,164, 59,237,730,287,559,
200,360,299,228,170,177,253,374,271,438,296,534,187, 74,554,241,541,
423,298,166,190,321, 43, 83,482, 6,666,616,171,462,495,230,512,123,
218,301,648,396,279, 85,667,468,591,315,199,478,429,529, 55, 80,388,
459,445,356,169,309,636,598,433,402, 62,303,517,304,508,267,302,157,
550,562,452,126,609, 45, 64,116, 52,316,549,628,419,524,692,432,485,
389,102,275,106,390,105,426,660,358,545,663,522,329,334,488,173,579,
240,477,318, 61,260,481,473,553,399,417,670,544,653,163,127,133,258,
101,626,600,139,437,368, 94,632,412,516,492,336,185,629,655,392,594,
424,350,725,499,721,196,442,496,555,685, 14, 68,314,519, 11,515,160,
86,646,118,585,611,325,174, 18,724, 98,608,416,142, 73,371,640,614,
409,252,377,383,347,587,696,570, 93,111,687, 37, 29,250,449,192, 33,
270,661,337, 22,176,181,718,577,695,152,580, 84,405,120,404,235,408,
121, 25, 78,548,716, 91,612,691,194,458,394,446,465,631,384, 58,678,
690,353,208,243) ] ],
[ 12, 1162259280, 0, "2", [ [ 729, 1 ] ], 3, "PSL(2, 3^6).6",
[ "L", [ 2, 729 ], 1 ],
[ ( 1,341,603,662,685,545,176, 97,556,394,330,686)( 2,171,684,270, 39, 70,
189,222,445,726,647,712)( 3,348,454,104,546,305,638, 26,631,244,610,
217)( 4,706,294,278,335,214,704, 72,340,579,538,186)
( 5, 7,550,563,474,486,326,680,582,386,663,650)( 6,509,548,255,108,
360,634, 63,194, 62,652,197)( 8,669,578,512,245, 78,115,261,540,356,
557,233)( 9,539,576, 30, 14,666,438,135,140,425,729,159)
( 10,107,102,376,314,554,459,374,699, 59, 64,220)( 11,488,672,260,547,
564,617,679,534,372,693,198)( 12,200,442,290,265,580, 80,250,430,363,
667,251)( 13,111,523,428, 28,437,411,286,175,489,601, 36)
( 15,227,387,624,173,642,709, 82,426,581,301,129)( 16, 88,273,600,493,
609,196,701,288,511,247,457)( 17,460,607,352,467,243,291, 42,239,584,
435,714)( 18,559,414,468,395,275,678,613,461,705,481,207)
( 19,213,241,585,450,587, 61,431,212,369,132,575)( 20,155,404,589,588,
537,100,567,458,528,637,725)( 21,146,560,306,529,256, 69,136,408, 86,
338,164)( 22,480,503, 76,676,396,350,292,440,707,190,361)
( 23,688,462, 51,651,385,626,644,583,668,660,730)( 24,659,496,172,116,
319,424,237,315,279, 65,137)( 25, 53,144,300,517, 49,502,307,518,110,
504,202)( 27,640,561, 91,283,170,645,109, 29,271,313,181)
( 31,351,690,456,728,149,123,128, 79,258,231,446)( 32,515,225,262)
( 33,536,514,653,112,226,124,622,577,595,494,268)( 34, 84,158,373,103,
156,406,296,375,329,551,449)( 35,380,700,472, 87,552,219,429,491,331,
37,497)( 38,368,118,572,543, 77,639,384,501,333,354,221)
( 40,566, 56,415,345,677,524,160,289,412,483,723)( 41,696,336,203, 58,
297, 55,671,444,721,347,664)( 43, 50,615, 92,169,390,183,358,113,476,
516,590)( 44,263,309,378,379,423,303,593,230,249,284,619)
( 45,163,332,267,403,148,464,254,687,187,298,388)( 46,606,719,620,252,
549, 75,274,614,295, 68,312)( 47,238,143,508,383,234,646, 85,499,224,
281,710)( 48,633,193,698,362,407,410,649,692,150,527,471)
( 52,689,599,682,276,199,121,299,522,479,400,316)( 54,195,398,122,490,
531,209,541,594, 99,655,367)( 57,282, 98,475,627,505,708,691,285, 96,
427,661)( 60,346,357,636,223,492,205,321,366,533,703,154)
( 66,702,665,542,165,343,210,521,433,191,188,628)( 67,713,236,436,162,
229,463,134,349,393,448,670)( 71,327,453,510,157,311,695,208, 89,473,
342,215)( 73,571,405,417,470,616,101,138,530,506,324,618)
( 74,526,413,269,629,621,586,317,293,339,139,656)( 81,641,391,720,535,
630,532,228,264,353,320,591)( 83,318,114, 95,168,246,382,185,716,658,
715,232)( 90,513,717,365,565, 93,657,500,177,179,598,469)
( 94,477,389,248,402,280,325,439,674,370,174,337)(105,632,625,272,558,
574,420,287,323,308,277,167)(106,218,495,127,507,592,117,266,418,451,
544,257)(119,304,568,206,570,392,302,153,131,485,421,694)
(120,253,484,359,562,482,443,611,381,192,145,697)(125,683,133,184,204,
597,569,161,525,466,635,182)(126,142,555,180,681,447,334,455,434,643,
573,596)(130,487,328,178,478,711,675,612,718,377,152,201)
(141,399,441,602,166,216,151,401,147,605,235,322)(211,520,242,416,608,
648,310,465,553,259,498,432)(240,452,371,419)(355,409,724,422,722,
727,623,519,604,364,397,654),
( 1,343, 23,312,284,214,349,384,495,721,216,170)( 2,348,572,205,277,
184,471,556,388,445,710,213)( 3,228, 36,196, 4,516, 22,618,682,238,
457,240)( 5,226,372,484,168,662,237,380,446, 14,704,531)
( 6,378, 48,422,420,544,153,332,536,130,634,109)( 7, 53,201,514,315,
699,267,163,473, 16,489,506)( 8, 39,293,291,351,692,110,616,592, 70,
411,107)( 9,521,344,417,147, 78,169,268,248,730,289, 86)
( 10, 13,614,198,681,432,199,641,450,405,460,719)( 11,416, 90,346,112,
675,552, 55, 42,553,148,636)( 12,670,132, 21,424,526,582,637,687,334,
255,645)( 15,374,111,621,347,243,598,421,482,329,206,223)
( 17,693,151,523,140,100,294,101,548,133,685,479)( 18,669, 40,513, 28,
126,729,608,313,555, 68,121)( 19,276, 41,306,104,195,280,667,474,546,
512,403)( 20,207,210, 30,703,678,402,642,666,439,215,558)
( 24,345,410, 35,310,476,563,324, 43,390,360,635)( 25,394,317,597,534,
437,504,459,585,398,509,638)( 26,225, 62, 88,619,219,606,106,586,626,
64,542)( 27,579,694,328,649,171,185,530,680,702,134, 92)
( 29,633,157,485,674,302,573,119, 72,451,263,270)( 31,114, 98,260,327,
200,298, 81,120,517,496,122)( 32,464,186,301,707,587,319, 94,295,137,
389,364)( 33,353,458,469,247,644,283,154,159,160,726, 59)
( 34, 65,497,554,568,187,602,231,425, 87,570,515)( 37,188, 69,574,716,
235,180,727,715,339,361,511)( 38,528,661,492,269,115,249,508,709,279,
640, 76)( 44,113,356,287,166,655,362,314,303,657,434,706)
( 45, 84,108,448,647,684, 96,475,690,395,239,415)( 46,494,392,559, 80,
500,599,366,401, 93,688, 75)( 47,467,182,371,408,258,583,535,176,525,
367,274)( 49,541,257,566,193, 63,423, 85,385,724, 73,671)
( 50,146,387,660,593,456,610,250,164,562,297,565)( 51,465,718,321,620,
591,435,325,468,123,224,282)( 52,628,615,550,316,382,245,430,413,278,
700,375)( 54,341,486,677,116,175,490,708,142,589,275,607)
( 56,117,664,442,419,149, 83,331,197,222,373,717)( 57,192,477,659,705,
575, 71,658,493,580,152,569)( 58,623,358, 66,470,480,650,487, 79,611,
539,307)( 60,336,227,414, 61,499,211, 67,150,124,643,323)
( 74,436,143,697,698,723,162,262, 82,261,588,683)( 77,654,165,118,161,
532,488,253,689,632,204,209)( 89,652,383,379,288,396,220,342,365,305,
595,320)( 91,540,391,701,337,427,189,691,441,141,627,406)
( 95,271,311,229,393,244,543,444,455,304,672,233)( 97,590,498,547)
( 99,350,695,156,251,529,409,359,668,463,676,309)(102,221,617,172)
(103,443,252,466,612,524,461,510,428,173,194,601)(105,181,472,299,520,
502,560,183,259,429,686,713)(125,178,522,145,266,656,663,722,447,725,
300,208)(127,625,386,354,711,355,155,630,368,418,438,431)
(128,333,326,212,596,564,264,397,254,281,624,236)(131,609,139,286,576,
308,527,265,557,426,144,241)(135,377,246,400,545,399,712,330,561,340,
404,533)(136,190,581,376,352,256,338,505,537,369,218,728)
(138,433,605,584,381,454,519,174,501,478,202,158)(167,412,551,613,571,
653,273,177,629,232,714,631)(179,242,285,538,292,648,363,217,578,567,
357,290)(191,483,296,452,604,507,646,230,440,322,462,518)
(203,594,234,651,481,453,600,679,491,272,449,720)(318,503,603,549,673,
696,577,407,639,370,665,335) ] ],
[ 13, 2324518560, 0, "2", [ [ 729, 1 ] ], 3, "PGammaL(2, 3^6)",
[ "L", [ 2, 729 ], 1 ],
[ ( 1,395,116,450,413,514)( 2,234,215,637,342,489)( 3, 87,447,214,551,105
)( 4,443,254,532,203,141)( 5,581,427,359,151, 90)( 6, 60,112,382,
43,138)( 7,230,568,209,102,410)( 8,608,645,527,665,634)
( 9,556, 63,104,179,555)( 10, 94,114,291,725, 36)( 11,156,690,588,
505,455)( 12,716,318, 33,717,140)( 13,200,107,559,670, 96)
( 14,212,163,446,525,599)( 15,111,381,429,589,145)( 16,707,147,647,
180,278)( 17,169,218, 19,465, 50)( 18,540, 41,109,354,583)
( 20,330,701,703,577, 30)( 21,431,678,177,103,186)( 22,520,597, 44,
671,128)( 23,650,313,235,516,245)( 24,562, 55, 25,185,270)
( 26,622,667,712,196,146)( 27,388,175,356,398,284)( 28,430,113,479,
369, 98)( 29,201,635,715,387,299)( 31,598,336,709,500,458)
( 32, 45,285,710,189,335)( 34,244,495,561,302,273)( 35, 52,324,304,
320,184)( 37,344,397,513,493,248)( 38,539,306,721,127,685)
( 39,415,558,378,504,274)( 40,331,321,711,173,272)( 42,204,515,485,
586,308)( 46,481,240,693,224, 88)( 47,315,333, 89,509,534)
( 48,210,208,695,100,580)( 49,411,603, 86,164,629)( 51,363,610,286,
702,591)( 53,652,440,396,694,157)( 54,570,406,384,510,456)
( 56,329,160,435,587,590)( 57,616,673,139,646,258)( 58,298,692,307,
538,655)( 59,348,391,662,486,618)( 61,649,477,472,347,170)
( 62,572,192,499,276,373)( 64,202,626,461,614,403)( 65,473,606,392,
470,365)( 66,463,490,290,594,659)( 67,563, 81,239,266,279)
( 68,118,672,483,575,287)( 69,350,582,454,123,548)( 70,316,643,221,
553,628)( 71,426,445,541,232,110)( 72,131,619,289,150,341)
( 73,420,654,640,469,190)( 74,154,674,595,412,502)( 75,521,729,355,
288,708)( 76,132,421,133,371,689)( 77,368,416,620,549,211)
( 78,323,528,644,488, 83)( 79,544, 91,682, 84,225)( 80,243,404,194,
604,491)( 82,317,360,251,358,596)( 85,642,713,460,334,262)
( 92,452,122,394,669,400)( 93,625,476,167,227,492)( 95,393,727,125,
255,295)( 97,554,565,663,466,126)( 99,265,464,407,249,611)
(101,296,338,668,631,115)(106,530,253,442,325,418)(108,681,434,148,
698,683)(117,353,294,293,343,636)(119,176,409,545,615,482)
(120,723,352,560,632,136)(121,181,691,664,621,523)(124,441,327,449,
567,569)(129,168,657,438,508,197)(130,376,697,277,135,719)
(134,507,237,379,399,326)(137,564,220,498,720,453)(142,687,524,578,
357,364)(143,309,361,241,444,518)(144,542,311,613,519,372)
(149,579,684,367,366,602)(152,675,474,630,451,402)(153,680,547,730,
269,661)(155,188,478,537,425,319)(158,462,557,700,660,417)
(159,375,351,193,162,247)(161,250,305,533,337,205)(165,246,436,261,
468,536)(166,217,612,623,377,303)(171,419,484,231,543,195)
(172,182,219,414,728,282)(174,292,207,300,617,408)(178,677,345,475,
280,688)(183,310,264,467,638,571)(187,448,639,275,624,511)
(191,198,340,550,322,535)(199,222)(206,216,506,401,529,718)
(213,722,566,658,724,457)(223,573,696,380,233,552)(226,607,503,433,
362,512)(228,374,390,704,592,494)(229,585,531,238,236,641)(242,679)
(252,422,271,526,263,268)(256,653,281,699,501,656)(257,496,297,546,
428,432)(259,487,314,332,600,651)(260,497,648,517,439,574)(267,339)
(283,405)(301,459,437,584,522,706)(312,423,627,726,601,705)
(328,686,349,346,471,676)(370,385,605,609,714,389)(383,576,666,424,
480,386)(593,633), ( 1,503,241,701,209,377,547,577)( 2, 85,687,521,
604,640,478,416)( 3,399,545,280,258,342,142,527)( 4,515,476,401,
193,525,553,494)( 5,543,140,664,276,443,382,260)( 6,578,551,117,
360,479,691,588)( 7,576,380,417, 69,695,410,119)( 8,629,689,620,
730,616,651,350)( 9,220,408,137,184, 92,303,346)( 10, 42,649,439,
176,120,591,658)( 11,145,301, 75,328,712,320,116)( 12,114,589,706,
626,164,582,147)( 13,295,318,676, 18,552,612,484)( 14,154,580,431,
586,469,291,255)( 15,101,610,628,205,587,105, 28)( 16,597,289, 35,
352,178,614,647)( 17,703,103,501, 26,466,681,131)( 19,504,679,496,
708,523,112, 83)( 20,230,316,579,310,375,536,457)( 21,415,110,259,
653,151,728,697)( 22,688,534,600,570,387,625,702)( 23,108,726,669,
351,450,446,655)( 24, 46,623,540,430,261,683,413)( 25,705,444,129,
87,407,414,248)( 27,510,412,512, 67,312, 47,314)( 29,433, 45,152,
452,232,667,455)( 30,376,585,167,613,556,265,475)( 31,507,665,311,
641,421,361,223)( 32,550,263,440,538,489,308,486)( 33,436,359,213,
104,557,180,188)( 34,389,306,598,630,422, 99,371)( 36,356, 97,454,
398, 43,458,325)( 37,560,595,526,490,666,339,541)( 38,216,456,617,
354,275,287,462)( 39,524,337,217,336,571,483,668)( 40,432,285,621,
262,717,441,696)( 41,165,481,324,115,528,327,558)( 44,690,656,700,
427,603,542,315)( 48,394,411,201,563, 70,284,141)( 49,592, 65,672,
157,391,372,369)( 50,124,282,134,397,509,168,221)( 51, 58,370,366,
468,426,499,727)( 52,648,166,175,704, 84,385,233)( 53,500,497,659,
709,266,343,296)( 54,203,383,392,562,128,539,107)( 55,607,341,300,
488,156,487,253)( 56,207,537,608,470,362,368,549)( 57,298,485,264,
334,283,229,158)( 59,210,227,472,177,535,646, 78)( 60,226,725,435,
194,453,518,402)( 61,611,644,388,720,636,465,267)( 62,384,516,274,
286,338,561,335)( 63,513,463,317,183,601,159,403)( 64,657,559,448,
211,349,239,268)( 66,214,237, 79,196,719,723,619)( 68,693,721,358,
77,323,143,121)( 71,155,378,716,473,169, 98,374)( 72,224,199,136,
254,122,290,437)( 73,565, 96,409,171,127,714,673)( 74,245,288,594,
514,367,508,449)( 76,340,506,272, 81,148,212,529)( 80,393,533,670,
238,569,244,355)( 82,118,242,710,198,677,235,660)( 86,204,173,195,
94,474,135,208)( 88,707,133,246,464,236,273,345)( 89,160,442,281,
548,564,684,381)( 90,423,271,309,631,330,348,299)( 91,544,682,425,
566,297,279,482)( 93,123,277,321,615,247,583,447)( 95,434,581,694,
228,573,400,215)(100,467,471,718,429,153,654,257)(102,715,652,302,
305,605,182,698)(106,170,357,395,567,353,671,724)(109,519,126,172,
219,722,522,642)(111,406,520,491,192,438,187,186)(113,674,185,590,
461,477,329,554)(125,574,445,179,662,225,675,419)(130,424,390,596,
609,243,251,729)(132,365,249,493,319,404,511,451)(138,252,222,643,
344,663,278,292)(139,680,218,622,460,627,396,568)(144,364,256,606,
197,685,202,428)(146,517,200,492,240,593,531,174)(149,250,162,405,
379,599,699,645)(150,363,270,639,347,711,234,495)(161,686,181,546,
572,480,532,602)(163,189,530,190,322,555,326,191)(206,618)
(231,678,332,293,307,584,650,624)(269,661,634,498,635,502,633,294)
(304,386,713,333,637,418,632,638)(313,459,505,373,575,420,692,331) ]
],
[14, Factorial(730)/2,1,"2",[[729,1]],728, "Alt(730)", ["A",730, 1], "Alt"],
[15, Factorial(730),0,"2",[[729, 1]],730, "Sym(730)", ["A",730, 1], "Sym"]];
PRIMGRP[731]:=
[[1, Factorial(731)/2,1,"2",[[730,1]],729, "Alt(731)", ["A",731, 1], "Alt"],
[2, Factorial(731),0,"2",[[730, 1]],731, "Sym(731)", ["A",731, 1], "Sym"]];
PRIMGRP[732]:=
[[1, Factorial(732)/2,1,"2",[[731,1]],730, "Alt(732)", ["A",732, 1], "Alt"],
[2, Factorial(732),0,"2",[[731, 1]],732, "Sym(732)", ["A",732, 1], "Sym"]];
PRIMGRP[733]:=
[[1, Factorial(733)/2,1,"2",[[732,1]],731, "Alt(733)", ["A",733, 1], "Alt"],
[2, Factorial(733),0,"2",[[732, 1]],733, "Sym(733)", ["A",733, 1], "Sym"],
[ 3, 733, 3, "1", [ [ 1, 732 ] ], 1, "C(733)", [ "Z", 733, 1 ], [ ] ],
[ 4, 1466, 2, "1", [ [ 2, 366 ] ], 1, "D(2*733)", [ "Z", 733, 1 ],
[ [ [ Z(733)^366 ] ] ] ],
[ 5, 2199, 2, "1", [ [ 3, 244 ] ], 1, "733:3", [ "Z", 733, 1 ],
[ [ [ Z(733)^244 ] ] ] ],
[ 6, 2932, 2, "1", [ [ 4, 183 ] ], 1, "733:4", [ "Z", 733, 1 ],
[ [ [ Z(733)^183 ] ] ] ],
[ 7, 4398, 2, "1", [ [ 6, 122 ] ], 1, "733:6", [ "Z", 733, 1 ],
[ [ [ Z(733)^122 ] ] ] ],
[ 8, 8796, 2, "1", [ [ 12, 61 ] ], 1, "733:12", [ "Z", 733, 1 ],
[ [ [ Z(733)^61 ] ] ] ],
[ 9, 44713, 2, "1", [ [ 61, 12 ] ], 1, "733:61", [ "Z", 733, 1 ],
[ [ [ Z(733)^12 ] ] ] ],
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(129,678,456,512,320,269,326,466)(131,504,535,223,140,277,328,358)
(135,383,197,557,539,220,573,453)(136,161,487,578,256,411,300,621)
(137,267,337,629,228,623,577,701)(139,675,254,658,159,378,262,700)
(148,221,151,448,214,412,376,478)(149,217,738,709,620,270,561,472)
(152,684,396,180,551,528,526,600)(162,393,735,712,642,697,236,233)
(166,426,462,568,599,749,449,173)(168,657,656,681,242,445,588,497)
(170,606,246,415,525,380,541,608)(174,645,255,703,597,750,418,327)
(179,680,536,438,361,693,499,567)(183,417,731,252,544,521,304,241)
(191,353,292,602,287,744,631,460)(194,616,290,571,379,688,719,668)
(207,613,706,356,346,739,710,452)(216,507,741,601)(243,425,433,427,
250,484,726,554)(247,253,401,367,335,696,667,461)(248,673,447,492,
465,377,540,665)(273,419,468,338,529,413,281,475)(317,394,716,331,
583,321,685,435)(388,607,736,514,590,480,392,476),
( 1,593,415,340,611,230,191,232,312,114,257,709)( 2,465,135,176,490,
34,462,181,607,624,196,723)( 3,516,330,187,293,628)
( 4,663,118,486,480,488,604,220,384,411,618,691)( 5,680,508,530, 71,
493,404, 99, 68,639,503, 93)( 6,170,693,495,729, 11,177,464,382,126,
565,707)( 7,263,364,301,526,641,739,311,218,349,380,546)
( 8,325,748,317,544,621,728,207,200,247,585,434)( 9,433,321,506,254,
242,564,235,348, 49,527,638)( 10,221,162,557,584,287,491,536,437,406,
140,101)( 12,701,175,132,685,397,229,391, 17,253,417,498)
( 13,332,264,644,358,394,667,547,347,561,112, 20)( 14,160,424,695,602,
310)( 15,569,594,466,368, 56)( 16, 91,303,457,687,164,421,562,401,
130, 38,541)( 18,234,474,249,442,228,133,558,706,672,633,146)
( 19,431,521,519,294,749,344,116,357,308,586,335)( 21,487,153,244,284,
673,155, 75,370,485,150,720)( 22,453,202,255,724,139,567,379,121,282,
428, 65)( 23,280,108,269, 25,409,509,444,726,300,403,419)
( 24,686,630,665,704,744, 51,350,537,623,346,119)( 26,378,479,248,125,
448,355,459, 83,743, 67,268)( 27,592,675, 84, 59,420)
( 28,113, 81,671,635,735,416,337,499, 53,168,714)( 29,447,473,198, 31,
596,512,278, 32,306,599,137)( 30,652, 80,690,632,563,343,597,152,683,
186,386)( 33,525,511,467,470,345,122,389,451,662,352,566)
( 35, 82,388, 54,375,422,356,456,295,377,189,110)( 36, 61,472,270,631,
450,605,216,559,217,545,166)( 37,553,463,429, 43,572,169,552,365,648,
392,634)( 39,750,587,482,309,203,712, 52,395,669,580,341)
( 40,324,316,619, 73,245,595,144,614,590,266,399)( 41,622,405,603,515,
219,716,484,267,307, 69,452)( 42,589,446,620,276,371,252,131,305,705,
79, 50)( 44,677,323,237,568,733,636,195,423,492,259,697)
( 45,531,435,721,201,725,533,582, 60,241,412,699)( 46,210,576,265,299,
600,574,441,738,292,251, 85)( 47,109,194,678,577,333,640,283,513,271,
178,688)( 48,274,575, 76,275,468,745,206,272,460,226,425)
( 55,719,204,193,302,538,315,117,179,215,529,741)( 57,192,372,656,684,
717,608,360,225,396,410,120)( 58,698,165,281,304, 70,523,694,141,100,
461,579)( 62,161,542,277,711, 87)( 63,510,539,646,366,560,159,148,
414,727,679,658)( 64,427,385,408)( 66,363,654,747, 86,689,239,151,
197,535,223,250)( 72,261,211,550,296, 88,454,734,328,507,477,297)
( 74,494,588,199,505,696,649,713,606,548,534,458)( 77,627,489,173,659,
524,528,653,469,708,517,231)( 78,502,334,554,354,742,475,610,643,373,
205,736)( 89,645,581,666,361,102,288,336,227,339,127,298)
( 90,359,142,313,481,258,642,571,224,123,106,262)( 92,702,213,115,674,
94,556,136,129,362,158,238)( 95,190,439,520,331,369,418,551,103,407,
98,320)( 96,273,322,184,637,615,212,647,111,246,700,260)
( 97,570,353,291,500,172,703,188,105,609,514,387)(104,440,443,540,722,
455,718,732,737,710,167,314)(107,664,682,138,445,438,256,660,134,400,
222,555)(124,731,145,746,598,426,290,185,612,157,367,583)
(128,497,591,532)(143,338,208,243,651,573,381,740,616,209,661,318)
(147,402,676,351,476,730,383,650,496,413,668,549)(149,504,393,286,376,
154,289,601,174,657,625,342)(156,629,617,163,681,319,543,613,285,182,
171,670)(180,471,279,398,326,478,240,692,327,522,578,715)
(183,329,436,626,432,501,449,483,430,655,390,236)(214,233,518,374) ]
],
[2, Factorial(750)/2,1,"2",[[749,1]],748, "Alt(750)", ["A",750, 1], "Alt"],
[3, Factorial(750),0,"2",[[749, 1]],750, "Sym(750)", ["A",750, 1], "Sym"]];