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Aliases
Subgroups
954 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)(31,37)(32,42)(33,47)(34,50)(38,55)(39,45)(41,54)(43,53)(46,59)(48,56)(49,60)(51,61);(30,31)(32,43)(33,48)(34,40)(35,37)(36,41)(38,42)(39,49)(44,50)(45,47)(46,55)(51,57)(52,54)(53,59)(56,60)(58,61);(30,32,35,46)(31,38,37,53)(33,44,49,40)(34,45,50,56)(36,42,52,59)(39,51,48,61)(41,43,54,55)(47,58,60,57);(30,33)(31,39)(32,44)(34,43)(35,49)(36,47)(37,48)(38,51)(40,46)(41,56)(42,58)(45,54)(50,55)(52,60)(53,61)(57,59);(30,34,36,51)(31,40,41,57)(32,45,42,48)(33,43,47,38)(35,50,52,61)(37,44,54,58)(39,46,56,59)(49,55,60,53)
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, 2298);
Finite Group Databasebeta