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Aliases
Subgroups
930 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 5 generators on 61 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)(30,31,34,35)(32,38,39,36)(33,41,42,37)(40,43,45,44)(46,47)(48,53)(49,54)(50,58)(51,52)(55,59)(56,57)(60,61);(31,35)(32,39)(37,41)(40,45)(47,52)(49,53)(55,58)(57,60);(30,32,34,39)(31,36,35,38)(33,40,42,45)(37,43,41,44)(46,48,51,54)(47,53,52,49)(50,56,59,61)(55,60,58,57);(30,31)(32,36)(33,37)(34,35)(38,39)(40,43)(41,42)(44,45)(46,49,51,53)(47,54,52,48)(50,57,59,60)(55,61,58,56);(30,33,34,42)(31,37,35,41)(32,40,39,45)(36,43,38,44)(46,50,51,59)(47,55,52,58)(48,56,54,61)(49,57,53,60)
Conjugacy classes & character table
1102 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 2297);
Finite Group Databasebeta