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Aliases
Splittings
Subgroups
30 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 966 points:
(1,2)(3,4,5)(6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966);(4,5)(7,966)(8,965)(9,964)(10,963)(11,962)(12,961)(13,960)(14,959)(15,958)(16,957)(17,956)(18,955)(19,954)(20,953)(21,952)(22,951)(23,950)(24,949)(25,948)(26,947)(27,946)(28,945)(29,944)(30,943)(31,942)(32,941)(33,940)(34,939)(35,938)(36,937)(37,936)(38,935)(39,934)(40,933)(41,932)(42,931)(43,930)(44,929)(45,928)(46,927)(47,926)(48,925)(49,924)(50,923)(51,922)(52,921)(53,920)(54,919)(55,918)(56,917)(57,916)(58,915)(59,914)(60,913)(61,912)(62,911)(63,910)(64,909)(65,908)(66,907)(67,906)(68,905)(69,904)(70,903)(71,902)(72,901)(73,900)(74,899)(75,898)(76,897)(77,896)(78,895)(79,894)(80,893)(81,892)(82,891)(83,890)(84,889)(85,888)(86,887)(87,886)(88,885)(89,884)(90,883)(91,882)(92,881)(93,880)(94,879)(95,878)(96,877)(97,876)(98,875)(99,874)(100,873)(101,872)(102,871)(103,870)(104,869)(105,868)(106,867)(107,866)(108,865)(109,864)(110,863)(111,862)(112,861)(113,860)(114,859)(115,858)(116,857)(117,856)(118,855)(119,854)(120,853)(121,852)(122,851)(123,850)(124,849)(125,848)(126,847)(127,846)(128,845)(129,844)(130,843)(131,842)(132,841)(133,840)(134,839)(135,838)(136,837)(137,836)(138,835)(139,834)(140,833)(141,832)(142,831)(143,830)(144,829)(145,828)(146,827)(147,826)(148,825)(149,824)(150,823)(151,822)(152,821)(153,820)(154,819)(155,818)(156,817)(157,816)(158,815)(159,814)(160,813)(161,812)(162,811)(163,810)(164,809)(165,808)(166,807)(167,806)(168,805)(169,804)(170,803)(171,802)(172,801)(173,800)(174,799)(175,798)(176,797)(177,796)(178,795)(179,794)(180,793)(181,792)(182,791)(183,790)(184,789)(185,788)(186,787)(187,786)(188,785)(189,784)(190,783)(191,782)(192,781)(193,780)(194,779)(195,778)(196,777)(197,776)(198,775)(199,774)(200,773)(201,772)(202,771)(203,770)(204,769)(205,768)(206,767)(207,766)(208,765)(209,764)(210,763)(211,762)(212,761)(213,760)(214,759)(215,758)(216,757)(217,756)(218,755)(219,754)(220,753)(221,752)(222,751)(223,750)(224,749)(225,748)(226,747)(227,746)(228,745)(229,744)(230,743)(231,742)(232,741)(233,740)(234,739)(235,738)(236,737)(237,736)(238,735)(239,734)(240,733)(241,732)(242,731)(243,730)(244,729)(245,728)(246,727)(247,726)(248,725)(249,724)(250,723)(251,722)(252,721)(253,720)(254,719)(255,718)(256,717)(257,716)(258,715)(259,714)(260,713)(261,712)(262,711)(263,710)(264,709)(265,708)(266,707)(267,706)(268,705)(269,704)(270,703)(271,702)(272,701)(273,700)(274,699)(275,698)(276,697)(277,696)(278,695)(279,694)(280,693)(281,692)(282,691)(283,690)(284,689)(285,688)(286,687)(287,686)(288,685)(289,684)(290,683)(291,682)(292,681)(293,680)(294,679)(295,678)(296,677)(297,676)(298,675)(299,674)(300,673)(301,672)(302,671)(303,670)(304,669)(305,668)(306,667)(307,666)(308,665)(309,664)(310,663)(311,662)(312,661)(313,660)(314,659)(315,658)(316,657)(317,656)(318,655)(319,654)(320,653)(321,652)(322,651)(323,650)(324,649)(325,648)(326,647)(327,646)(328,645)(329,644)(330,643)(331,642)(332,641)(333,640)(334,639)(335,638)(336,637)(337,636)(338,635)(339,634)(340,633)(341,632)(342,631)(343,630)(344,629)(345,628)(346,627)(347,626)(348,625)(349,624)(350,623)(351,622)(352,621)(353,620)(354,619)(355,618)(356,617)(357,616)(358,615)(359,614)(360,613)(361,612)(362,611)(363,610)(364,609)(365,608)(366,607)(367,606)(368,605)(369,604)(370,603)(371,602)(372,601)(373,600)(374,599)(375,598)(376,597)(377,596)(378,595)(379,594)(380,593)(381,592)(382,591)(383,590)(384,589)(385,588)(386,587)(387,586)(388,585)(389,584)(390,583)(391,582)(392,581)(393,580)(394,579)(395,578)(396,577)(397,576)(398,575)(399,574)(400,573)(401,572)(402,571)(403,570)(404,569)(405,568)(406,567)(407,566)(408,565)(409,564)(410,563)(411,562)(412,561)(413,560)(414,559)(415,558)(416,557)(417,556)(418,555)(419,554)(420,553)(421,552)(422,551)(423,550)(424,549)(425,548)(426,547)(427,546)(428,545)(429,544)(430,543)(431,542)(432,541)(433,540)(434,539)(435,538)(436,537)(437,536)(438,535)(439,534)(440,533)(441,532)(442,531)(443,530)(444,529)(445,528)(446,527)(447,526)(448,525)(449,524)(450,523)(451,522)(452,521)(453,520)(454,519)(455,518)(456,517)(457,516)(458,515)(459,514)(460,513)(461,512)(462,511)(463,510)(464,509)(465,508)(466,507)(467,506)(468,505)(469,504)(470,503)(471,502)(472,501)(473,500)(474,499)(475,498)(476,497)(477,496)(478,495)(479,494)(480,493)(481,492)(482,491)(483,490)(484,489)(485,488)(486,487)
Conjugacy classes & character table
2886 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11532, 15);
Finite Group Databasebeta