Quellcode-Bibliothek ctomax27.tbl   Sprache: unbekannt

#############################################################################
##
#W  ctomax27.tbl                GAP table library               Thomas Breuer
##
##  This file contains the ordinary character table of MM8.
##

MOT("2^(5+10+20).(S3xL5(2))",
[
"8th maximal subgroup of the Monster group,\n",
"computed by Anthony Pisani in 2025"
],
[2061452360684666880,66498463247892480,1385384650997760,1385384650997760,
69269232549888,17317308137472,2473901162496,721554505728,77309411328,
360777252864,360777252864,77309411328,48318382080,48318382080,12884901888,
6039797760,1610612736,1207959552,201326592,100663296,360777252864,51539607552,
16911433728,6442450944,3221225472,402653184,396361728,2211840,45097156608,
22548578304,16911433728,6442450944,3221225472,3221225472,3221225472,3221225472
,2818572288,1409286144,805306368,805306368,603979776,536870912,536870912,
402653184,201326592,201326592,201326592,201326592,201326592,201326592,
134217728,134217728,134217728,100663296,100663296,100663296,67108864,67108864,
67108864,67108864,67108864,67108864,50331648,50331648,50331648,33554432,
33554432,33554432,33554432,25165824,25165824,25165824,16777216,16777216,
16777216,16777216,16777216,16777216,16777216,16777216,16777216,16777216,
16777216,12582912,12582912,8388608,8388608,8388608,8388608,8388608,8388608,
8388608,8388608,8388608,4194304,4194304,4194304,4194304,4194304,3145728,
3145728,3145728,2097152,2097152,2097152,1572864,1572864,1572864,1048576,
1048576,1048576,1048576,1048576,1048576,1048576,524288,524288,262144,262144,
262144,262144,262144,196608,131072,11520,56623104,4718592,4718592,2211840,
2064384,1179648,1179648,1179648,737280,737280,294912,196608,147456,98304,98304
,73728,49152,36864,36864,24576,64512,64512,12582912,4194304,1572864,1572864,
1572864,1048576,1048576,1048576,786432,786432,786432,786432,589824,524288,
524288,524288,524288,524288,524288,393216,393216,393216,262144,262144,262144,
262144,262144,262144,262144,196608,196608,131072,131072,131072,131072,131072,
131072,131072,131072,131072,131072,131072,131072,131072,131072,65536,65536,
65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,49152,32768,32768,
32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,24576,
16384,16384,16384,16384,16384,16384,16384,8192,8192,8192,8192,8192,8192,8192,
8192,8192,4096,4096,4096,4096,4096,2048,1536,1024,1024,11520,3840,3840,294912,
294912,147456,147456,98304,98304,73728,73728,49152,49152,24576,24576,24576,
24576,24576,24576,18432,18432,18432,12288,6144,6144,6144,6144,6144,6144,6144,
6144,6144,6144,6144,4608,4608,3072,3072,3072,3072,1536,1536,1536,1536,1536,
1536,1536,1152,768,21504,21504,5376,5376,3584,3584,3584,3584,2688,2688,2688,
2688,1792,1792,896,896,720,720,8192,8192,4096,2048,2048,2048,1024,1024,1024,
1024,1024,512,512,320,320,240,504,504,2304,2304,1536,768,768,768,768,384,384,
384,384,384,192,2688,2688,896,896,896,896,896,896,448,448,448,448,224,224,720,
720,240,240,240,240,186,186,186,186,186,186,168,168,959938560,3096576,1105920,
30965760,1105920,442368,129024,129024,36864,9216,9216,9216,2304,768,129024,
11520,9216,9216,9216,4608,4608,4608,2304,2304,768,768,768,768,768,384,384,192,
192,192,360,360,90,504,504,252,252,1152,288,288,192,192,192,96,48,48,360,360,
90,168,168,84,84,84,84,60,60,84,84,93,93,93,93,93,93,20970177822720,
676457349120,2818572288,42278584320,42278584320,2818572288,2818572288,
2818572288,528482304,176160768,176160768,100663296,100663296,88080384,33554432
,25165824,25165824,25165824,25165824,22020096,12582912,12582912,6291456,
4194304,4194304,2097152,2097152,2097152,2097152,2097152,1572864,1572864,
1048576,1048576,786432,524288,524288,262144,131072,131072,131072,131072,131072
,65536,65536,16384,1032192,147456,23040,23040,12288,23592960,11010048,1572864,
786432,786432,786432,524288,393216,393216,393216,262144,262144,262144,196608,
196608,196608,196608,131072,131072,131072,131072,131072,131072,131072,131072,
131072,131072,98304,98304,98304,65536,65536,65536,65536,65536,65536,65536,
65536,49152,49152,32768,32768,32768,32768,32768,24576,16384,16384,16384,16384,
16384,16384,16384,16384,16384,16384,16384,16384,16384,8192,8192,8192,8192,8192
,8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,
8192,4096,4096,4096,4096,4096,4096,4096,2048,2048,2048,1024,1024,1024,1024,
1024,1024,1024,1024,1024,512,480,480,36864,36864,24576,24576,23040,23040,18432
,18432,16128,12288,12288,6144,6144,6144,6144,3072,3072,3072,3072,2304,2304,
1536,1536,1536,1536,1536,1536,1536,768,768,768,384,384,2688,2688,896,896,448,
448,12288,4096,4096,4096,2048,1024,1024,1024,1024,1024,1024,512,512,256,256,
480,480,2304,768,768,768,768,768,768,576,384,384,384,384,384,384,384,384,384,
192,192,192,192,192,96,96,672,672,448,448,448,448,448,448,448,448,448,448,224,
224,224,224,224,224,112,112,120,120,120,120,128,128,80,80,84,84,96,112,112,120
,120,120,120,62,62,62,62,62,62,84,84],
[,[1,1,1,1,1,1,1,1,1,2,2,2,4,4,2,2,4,3,5,5,1,1,1,1,1,1,27,28,2,4,2,2,2,4,4,4,4
,3,5,5,2,2,4,5,7,3,5,4,7,7,5,2,5,3,7,5,7,4,3,7,7,4,7,5,5,5,7,4,5,7,6,6,6,7,7,7
,6,7,5,3,3,7,7,8,22,7,7,7,7,6,5,6,7,7,8,22,6,7,7,21,21,22,7,8,8,9,9,9,22,21,22
,22,9,9,8,21,22,24,24,22,25,25,23,25,125,27,27,27,28,27,27,27,27,28,28,27,27,
27,27,27,27,27,28,28,27,146,147,11,11,12,11,10,11,15,15,36,12,17,17,31,15,15,
15,15,15,12,32,32,14,33,33,43,43,36,10,15,37,30,51,51,30,36,42,42,43,51,51,33,
35,34,17,13,39,40,51,36,32,37,34,51,40,39,42,43,41,51,48,40,47,40,51,47,48,19,
19,76,76,82,82,64,59,58,76,60,61,82,62,84,84,76,61,80,79,83,78,49,95,97,98,104
,104,115,123,122,121,125,125,125,126,126,126,126,126,126,127,127,126,126,126,
127,127,127,127,126,128,135,135,127,133,132,132,133,133,128,128,133,127,131,
131,134,129,131,132,128,135,137,139,140,139,140,144,144,129,144,146,147,146,
147,146,147,146,147,146,147,146,147,146,147,146,147,311,312,149,149,148,153,
164,164,171,170,185,185,155,198,172,248,248,246,329,330,251,252,254,254,253,
258,258,260,261,268,285,285,266,295,296,295,296,295,296,295,296,301,302,301,
302,299,300,311,312,311,312,311,312,364,365,366,367,368,369,329,330,372,373,
374,372,374,373,372,373,374,373,374,374,373,374,375,376,377,376,376,375,377,
377,377,376,380,380,380,380,380,378,379,381,383,382,406,407,408,409,410,411,
412,386,393,392,388,389,390,391,401,402,406,407,408,409,410,409,410,411,412,
422,423,425,426,435,436,437,438,439,440,1,1,1,4,4,4,4,2,6,8,8,4,2,5,4,6,8,8,3,
6,8,7,7,8,5,8,6,7,7,8,21,22,8,8,25,22,22,25,25,25,25,25,9,24,23,26,27,27,28,28
,27,14,11,14,15,12,13,11,17,17,14,13,12,15,31,37,36,35,17,36,30,33,34,35,33,15
,13,17,19,47,63,43,37,34,42,43,42,43,17,16,18,48,48,47,63,19,45,59,58,57,45,47
,19,53,44,52,49,50,62,41,64,86,86,63,84,84,73,74,73,74,86,86,20,69,68,80,79,78
,56,83,82,95,97,98,93,92,104,104,114,114,115,106,116,117,119,119,121,122,107,
108,123,125,125,127,127,127,127,135,135,131,131,130,127,126,127,127,131,131,
137,137,137,137,143,143,131,133,137,139,139,140,140,136,134,129,145,144,146,
147,146,147,146,147,148,148,149,149,153,161,170,171,163,191,191,198,158,209,
215,248,248,256,254,256,250,249,251,252,266,255,259,260,268,263,285,285,285,
285,269,271,270,276,266,280,281,297,298,301,302,301,302,295,296,301,302,301,
302,307,308,297,298,307,308,303,304,311,312,311,312,314,313,326,326,329,330,
333,348,349,362,363,362,363,364,365,366,367,368,369,370,371],[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,1,1,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,
62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,
88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,2,4,3,2,6,6,7,
5,3,4,7,8,9,22,21,23,24,6,7,25,147,146,148,149,150,151,152,153,154,155,156,157
,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,
234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,12,12,31,31,10,11,
13,14,29,32,15,36,30,34,35,33,18,14,13,37,19,63,45,40,39,38,46,47,48,71,71,18,
16,72,70,54,17,84,85,100,102,101,49,50,41,55,296,295,298,297,300,299,302,301,
304,303,306,305,308,307,310,309,125,125,313,314,315,316,317,318,319,320,321,
322,323,324,325,326,327,328,147,146,160,160,148,151,152,167,168,156,178,177,
158,159,169,345,344,347,346,349,348,351,350,353,352,355,354,357,356,246,246,
247,247,248,248,368,369,367,365,366,364,298,297,1,1,1,2,2,2,23,5,5,9,9,9,23,26
,31,16,12,12,12,41,31,31,16,41,20,44,56,65,65,123,64,106,108,107,125,125,125,
147,146,147,146,160,160,160,150,157,157,205,243,220,246,246,246,296,295,306,
305,304,303,328,328,345,344,368,369,367,365,366,364,441,442,443,444,445,446,
447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,
466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,
485,486,441,442,442,441,443,492,493,494,495,496,497,498,499,500,501,502,503,
504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,
523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,
542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,
561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,
580,581,582,583,584,585,586,587,588,589,590,591,592,593,445,444,446,446,445,
444,449,449,449,447,448,452,452,456,456,450,458,451,457,449,449,460,454,461,
472,472,471,471,463,459,453,475,462,628,627,630,629,632,631,633,634,635,636,
637,638,639,640,641,642,643,644,645,646,647,648,649,492,493,494,496,496,505,
505,492,497,495,507,506,508,500,500,499,499,519,537,521,520,501,531,530,675,
674,677,676,679,678,681,680,683,682,685,684,687,686,689,688,691,690,693,692,
593,593,592,592,698,699,700,701,628,627,633,706,705,648,648,649,649,715,716,
714,712,713,711,675,674],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118
,119,120,121,122,123,124,1,126,127,128,129,130,131,132,133,134,135,136,137,138
,139,140,141,142,143,144,145,147,146,148,149,150,151,152,153,154,155,156,157,
158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,
234,235,236,237,238,239,240,241,242,243,244,245,2,3,4,250,249,252,251,253,254,
255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,
274,275,276,277,279,278,280,281,282,283,284,285,286,287,288,289,290,291,292,
293,294,296,295,298,297,300,299,302,301,304,303,306,305,308,307,310,309,28,28,
313,314,315,316,317,318,319,320,321,322,323,324,325,14,13,16,330,329,332,331,
333,334,335,336,337,338,339,340,341,342,343,345,344,347,346,349,348,351,350,
353,352,355,354,357,356,129,129,134,134,135,135,366,364,365,369,367,368,371,
370,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,390,
389,391,393,392,394,395,396,397,398,400,399,401,402,403,404,405,374,374,372,
410,409,412,411,413,415,414,416,418,417,419,420,421,376,376,375,426,425,428,
427,430,429,387,387,434,433,437,435,436,440,438,439,441,442,443,444,445,446,
447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,
466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,
485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,
504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,
523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,
542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,
561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,
580,581,582,583,584,585,586,587,588,589,590,591,442,441,594,595,597,596,598,
599,601,600,602,603,604,606,605,608,607,609,610,611,612,614,613,615,616,617,
619,618,621,620,622,623,624,625,626,628,627,630,629,632,631,633,634,635,636,
637,638,639,640,641,642,643,644,645,646,647,445,444,650,651,652,654,653,656,
655,657,658,659,660,661,662,664,663,666,665,667,668,669,670,671,672,673,675,
674,677,676,679,678,681,680,683,682,685,684,687,686,689,688,691,690,693,692,
490,490,489,489,698,699,492,492,703,702,704,706,705,598,598,599,599,713,711,
712,716,714,715,718,717],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118
,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,1,1,148,149,150,151,152,153,154,155,156,157,
158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,
234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,
253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,
272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,
291,292,293,294,2,2,6,6,3,3,4,4,5,5,23,23,8,8,21,21,312,311,313,314,315,316,
317,318,319,320,321,322,323,324,325,326,327,328,27,27,331,332,333,334,335,336,
337,338,339,340,341,342,343,31,31,10,10,11,11,29,29,30,30,37,37,38,38,359,358,
361,360,363,362,365,366,364,368,369,367,130,130,372,373,374,375,376,377,378,
379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,
398,399,400,401,402,403,404,405,407,406,408,372,372,373,373,413,414,415,416,
417,418,419,420,421,423,422,424,375,375,378,378,379,379,432,431,386,386,436,
437,435,439,440,438,441,442,443,444,445,446,447,448,449,450,451,452,453,454,
455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,
474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,
493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,
512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,
531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,
550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,
569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,
588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,
607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,
626,441,441,442,442,443,443,633,634,635,636,637,638,639,640,641,642,643,644,
645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,
664,665,666,667,668,669,670,671,672,673,449,449,444,444,445,445,448,448,446,
446,447,447,450,450,460,460,451,451,454,454,695,694,697,696,698,699,700,701,
487,487,704,493,493,708,707,710,709,712,713,711,715,716,714,602,602],,,,,,,,,,
,,,,,,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,
77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,145,147,146,148,149,150,151,152,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,
178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,
216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,
254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,
273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,
292,293,294,296,295,298,297,300,299,302,301,304,303,306,305,308,307,310,309,
311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,330,
329,331,332,333,334,335,336,337,338,339,340,341,342,343,345,344,347,346,349,
348,351,350,353,352,355,354,357,356,358,359,360,361,362,363,1,1,1,1,1,1,371,
370,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,
390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,
410,409,412,411,413,414,415,416,417,418,419,420,421,422,423,424,426,425,428,
427,430,429,431,432,434,433,372,372,372,372,372,372,441,442,443,444,445,446,
447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,
466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,
485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,
504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,
523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,
542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,
561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,
580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,
599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,
618,619,620,621,622,623,624,625,626,628,627,630,629,632,631,633,634,635,636,
637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,
656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,675,
674,677,676,679,678,681,680,683,682,685,684,687,686,689,688,691,690,693,692,
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--> --------------------

--> maximum size reached

--> --------------------