← Prev (#11759807) Next (#11759809) →
Aliases
Splittings
Subgroups
12 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 171 points:
(1,2)(4,6,11)(5,9,19)(7,14,29)(8,17,36)(10,22,46)(12,25,23)(13,28,40)(15,32,65)(16,34,55)(18,39,80)(20,42,24)(21,45,41)(26,53,59)(27,56,73)(30,61,49)(31,64,83)(33,68,119)(35,72,125)(37,75,50)(38,78,84)(43,88,60)(44,90,74)(47,79,51)(48,94,85)(52,57,86)(54,99,114)(58,91,87)(62,108,104)(63,111,127)(66,115,95)(67,118,137)(69,89,142)(70,110,96)(71,123,138)(76,131,105)(77,132,128)(81,134,97)(82,109,139)(92,124,106)(93,136,129)(98,112,113)(100,146,161)(101,133,140)(102,141,107)(103,143,130)(116,156,149)(117,159,164)(120,152,167)(121,158,150)(122,162,165)(126,163,144)(135,157,166)(145,160,155)(147,148,168)(151,154,153)(169,170,171);(3,139,83,42,135,29,124,70,110,67,119,102,56,5,91,138,87,159,60,72,122,147,109,66,148,101,10,4,53,137,86,106,59,156,121,36,117,161,134,9,8,98,90,140,64,105,126,162,74,152,116,68,21,18,7,6,167,113,88,104,61,129,73,158,120,46,20,16,13,143,125,112,150,107,78,128,170,157,22,44,35,15,12,99,155,141,149,11,166,127,75,48,65,43,17,27,145,142,154,111,24,133,165,130,94,47,89,38,33,26,14,171,153,51,23,108,164,19,93,114,79,37,55,31,168,163,28,50,151,132,41,118,92,39,77,69,54,30,146,58,97,49,25,85,40,131,82,115,76,34,63,169,80,57,96,52,45,84,160,136,81,123,71,100,62,32,103,144,95)
Conjugacy classes & character table
118 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1014, 2);
Finite Group Databasebeta