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Aliases
Splittings
Subgroups
20 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 916 points:
(1,2)(3,4,5)(6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916);(4,5)(7,916)(8,915)(9,914)(10,913)(11,912)(12,911)(13,910)(14,909)(15,908)(16,907)(17,906)(18,905)(19,904)(20,903)(21,902)(22,901)(23,900)(24,899)(25,898)(26,897)(27,896)(28,895)(29,894)(30,893)(31,892)(32,891)(33,890)(34,889)(35,888)(36,887)(37,886)(38,885)(39,884)(40,883)(41,882)(42,881)(43,880)(44,879)(45,878)(46,877)(47,876)(48,875)(49,874)(50,873)(51,872)(52,871)(53,870)(54,869)(55,868)(56,867)(57,866)(58,865)(59,864)(60,863)(61,862)(62,861)(63,860)(64,859)(65,858)(66,857)(67,856)(68,855)(69,854)(70,853)(71,852)(72,851)(73,850)(74,849)(75,848)(76,847)(77,846)(78,845)(79,844)(80,843)(81,842)(82,841)(83,840)(84,839)(85,838)(86,837)(87,836)(88,835)(89,834)(90,833)(91,832)(92,831)(93,830)(94,829)(95,828)(96,827)(97,826)(98,825)(99,824)(100,823)(101,822)(102,821)(103,820)(104,819)(105,818)(106,817)(107,816)(108,815)(109,814)(110,813)(111,812)(112,811)(113,810)(114,809)(115,808)(116,807)(117,806)(118,805)(119,804)(120,803)(121,802)(122,801)(123,800)(124,799)(125,798)(126,797)(127,796)(128,795)(129,794)(130,793)(131,792)(132,791)(133,790)(134,789)(135,788)(136,787)(137,786)(138,785)(139,784)(140,783)(141,782)(142,781)(143,780)(144,779)(145,778)(146,777)(147,776)(148,775)(149,774)(150,773)(151,772)(152,771)(153,770)(154,769)(155,768)(156,767)(157,766)(158,765)(159,764)(160,763)(161,762)(162,761)(163,760)(164,759)(165,758)(166,757)(167,756)(168,755)(169,754)(170,753)(171,752)(172,751)(173,750)(174,749)(175,748)(176,747)(177,746)(178,745)(179,744)(180,743)(181,742)(182,741)(183,740)(184,739)(185,738)(186,737)(187,736)(188,735)(189,734)(190,733)(191,732)(192,731)(193,730)(194,729)(195,728)(196,727)(197,726)(198,725)(199,724)(200,723)(201,722)(202,721)(203,720)(204,719)(205,718)(206,717)(207,716)(208,715)(209,714)(210,713)(211,712)(212,711)(213,710)(214,709)(215,708)(216,707)(217,706)(218,705)(219,704)(220,703)(221,702)(222,701)(223,700)(224,699)(225,698)(226,697)(227,696)(228,695)(229,694)(230,693)(231,692)(232,691)(233,690)(234,689)(235,688)(236,687)(237,686)(238,685)(239,684)(240,683)(241,682)(242,681)(243,680)(244,679)(245,678)(246,677)(247,676)(248,675)(249,674)(250,673)(251,672)(252,671)(253,670)(254,669)(255,668)(256,667)(257,666)(258,665)(259,664)(260,663)(261,662)(262,661)(263,660)(264,659)(265,658)(266,657)(267,656)(268,655)(269,654)(270,653)(271,652)(272,651)(273,650)(274,649)(275,648)(276,647)(277,646)(278,645)(279,644)(280,643)(281,642)(282,641)(283,640)(284,639)(285,638)(286,637)(287,636)(288,635)(289,634)(290,633)(291,632)(292,631)(293,630)(294,629)(295,628)(296,627)(297,626)(298,625)(299,624)(300,623)(301,622)(302,621)(303,620)(304,619)(305,618)(306,617)(307,616)(308,615)(309,614)(310,613)(311,612)(312,611)(313,610)(314,609)(315,608)(316,607)(317,606)(318,605)(319,604)(320,603)(321,602)(322,601)(323,600)(324,599)(325,598)(326,597)(327,596)(328,595)(329,594)(330,593)(331,592)(332,591)(333,590)(334,589)(335,588)(336,587)(337,586)(338,585)(339,584)(340,583)(341,582)(342,581)(343,580)(344,579)(345,578)(346,577)(347,576)(348,575)(349,574)(350,573)(351,572)(352,571)(353,570)(354,569)(355,568)(356,567)(357,566)(358,565)(359,564)(360,563)(361,562)(362,561)(363,560)(364,559)(365,558)(366,557)(367,556)(368,555)(369,554)(370,553)(371,552)(372,551)(373,550)(374,549)(375,548)(376,547)(377,546)(378,545)(379,544)(380,543)(381,542)(382,541)(383,540)(384,539)(385,538)(386,537)(387,536)(388,535)(389,534)(390,533)(391,532)(392,531)(393,530)(394,529)(395,528)(396,527)(397,526)(398,525)(399,524)(400,523)(401,522)(402,521)(403,520)(404,519)(405,518)(406,517)(407,516)(408,515)(409,514)(410,513)(411,512)(412,511)(413,510)(414,509)(415,508)(416,507)(417,506)(418,505)(419,504)(420,503)(421,502)(422,501)(423,500)(424,499)(425,498)(426,497)(427,496)(428,495)(429,494)(430,493)(431,492)(432,491)(433,490)(434,489)(435,488)(436,487)(437,486)(438,485)(439,484)(440,483)(441,482)(442,481)(443,480)(444,479)(445,478)(446,477)(447,476)(448,475)(449,474)(450,473)(451,472)(452,471)(453,470)(454,469)(455,468)(456,467)(457,466)(458,465)(459,464)(460,463)(461,462)
Conjugacy classes & character table
2736 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10932, 8);
Finite Group Databasebeta