← Prev (#16838645) Next (#16838647) →
Aliases
Splittings
Subgroups
15 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 963 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);(4,963)(5,962)(6,961)(7,960)(8,959)(9,958)(10,957)(11,956)(12,955)(13,954)(14,953)(15,952)(16,951)(17,950)(18,949)(19,948)(20,947)(21,946)(22,945)(23,944)(24,943)(25,942)(26,941)(27,940)(28,939)(29,938)(30,937)(31,936)(32,935)(33,934)(34,933)(35,932)(36,931)(37,930)(38,929)(39,928)(40,927)(41,926)(42,925)(43,924)(44,923)(45,922)(46,921)(47,920)(48,919)(49,918)(50,917)(51,916)(52,915)(53,914)(54,913)(55,912)(56,911)(57,910)(58,909)(59,908)(60,907)(61,906)(62,905)(63,904)(64,903)(65,902)(66,901)(67,900)(68,899)(69,898)(70,897)(71,896)(72,895)(73,894)(74,893)(75,892)(76,891)(77,890)(78,889)(79,888)(80,887)(81,886)(82,885)(83,884)(84,883)(85,882)(86,881)(87,880)(88,879)(89,878)(90,877)(91,876)(92,875)(93,874)(94,873)(95,872)(96,871)(97,870)(98,869)(99,868)(100,867)(101,866)(102,865)(103,864)(104,863)(105,862)(106,861)(107,860)(108,859)(109,858)(110,857)(111,856)(112,855)(113,854)(114,853)(115,852)(116,851)(117,850)(118,849)(119,848)(120,847)(121,846)(122,845)(123,844)(124,843)(125,842)(126,841)(127,840)(128,839)(129,838)(130,837)(131,836)(132,835)(133,834)(134,833)(135,832)(136,831)(137,830)(138,829)(139,828)(140,827)(141,826)(142,825)(143,824)(144,823)(145,822)(146,821)(147,820)(148,819)(149,818)(150,817)(151,816)(152,815)(153,814)(154,813)(155,812)(156,811)(157,810)(158,809)(159,808)(160,807)(161,806)(162,805)(163,804)(164,803)(165,802)(166,801)(167,800)(168,799)(169,798)(170,797)(171,796)(172,795)(173,794)(174,793)(175,792)(176,791)(177,790)(178,789)(179,788)(180,787)(181,786)(182,785)(183,784)(184,783)(185,782)(186,781)(187,780)(188,779)(189,778)(190,777)(191,776)(192,775)(193,774)(194,773)(195,772)(196,771)(197,770)(198,769)(199,768)(200,767)(201,766)(202,765)(203,764)(204,763)(205,762)(206,761)(207,760)(208,759)(209,758)(210,757)(211,756)(212,755)(213,754)(214,753)(215,752)(216,751)(217,750)(218,749)(219,748)(220,747)(221,746)(222,745)(223,744)(224,743)(225,742)(226,741)(227,740)(228,739)(229,738)(230,737)(231,736)(232,735)(233,734)(234,733)(235,732)(236,731)(237,730)(238,729)(239,728)(240,727)(241,726)(242,725)(243,724)(244,723)(245,722)(246,721)(247,720)(248,719)(249,718)(250,717)(251,716)(252,715)(253,714)(254,713)(255,712)(256,711)(257,710)(258,709)(259,708)(260,707)(261,706)(262,705)(263,704)(264,703)(265,702)(266,701)(267,700)(268,699)(269,698)(270,697)(271,696)(272,695)(273,694)(274,693)(275,692)(276,691)(277,690)(278,689)(279,688)(280,687)(281,686)(282,685)(283,684)(284,683)(285,682)(286,681)(287,680)(288,679)(289,678)(290,677)(291,676)(292,675)(293,674)(294,673)(295,672)(296,671)(297,670)(298,669)(299,668)(300,667)(301,666)(302,665)(303,664)(304,663)(305,662)(306,661)(307,660)(308,659)(309,658)(310,657)(311,656)(312,655)(313,654)(314,653)(315,652)(316,651)(317,650)(318,649)(319,648)(320,647)(321,646)(322,645)(323,644)(324,643)(325,642)(326,641)(327,640)(328,639)(329,638)(330,637)(331,636)(332,635)(333,634)(334,633)(335,632)(336,631)(337,630)(338,629)(339,628)(340,627)(341,626)(342,625)(343,624)(344,623)(345,622)(346,621)(347,620)(348,619)(349,618)(350,617)(351,616)(352,615)(353,614)(354,613)(355,612)(356,611)(357,610)(358,609)(359,608)(360,607)(361,606)(362,605)(363,604)(364,603)(365,602)(366,601)(367,600)(368,599)(369,598)(370,597)(371,596)(372,595)(373,594)(374,593)(375,592)(376,591)(377,590)(378,589)(379,588)(380,587)(381,586)(382,585)(383,584)(384,583)(385,582)(386,581)(387,580)(388,579)(389,578)(390,577)(391,576)(392,575)(393,574)(394,573)(395,572)(396,571)(397,570)(398,569)(399,568)(400,567)(401,566)(402,565)(403,564)(404,563)(405,562)(406,561)(407,560)(408,559)(409,558)(410,557)(411,556)(412,555)(413,554)(414,553)(415,552)(416,551)(417,550)(418,549)(419,548)(420,547)(421,546)(422,545)(423,544)(424,543)(425,542)(426,541)(427,540)(428,539)(429,538)(430,537)(431,536)(432,535)(433,534)(434,533)(435,532)(436,531)(437,530)(438,529)(439,528)(440,527)(441,526)(442,525)(443,524)(444,523)(445,522)(446,521)(447,520)(448,519)(449,518)(450,517)(451,516)(452,515)(453,514)(454,513)(455,512)(456,511)(457,510)(458,509)(459,508)(460,507)(461,506)(462,505)(463,504)(464,503)(465,502)(466,501)(467,500)(468,499)(469,498)(470,497)(471,496)(472,495)(473,494)(474,493)(475,492)(476,491)(477,490)(478,489)(479,488)(480,487)(481,486)(482,485)(483,484)
Conjugacy classes & character table
964 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3844, 4);
Finite Group Databasebeta