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Aliases
Subgroups
936 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)(30,31,35,39)(32,40,41,37)(33,44,47,38)(34,36,46,50)(42,52,54,53)(43,51,55,48)(45,58,59,49)(56,61,57,60);(31,36)(32,41)(33,45)(37,51)(39,50)(40,48)(42,56)(43,55)(47,59)(52,53)(54,57)(60,61);(30,32,34,43)(31,37,36,48)(33,42,45,57)(35,41,46,55)(38,52,49,60)(39,40,50,51)(44,53,58,61)(47,54,59,56);(30,33,46,59)(31,38,50,58)(32,42,55,56)(34,45,35,47)(36,49,39,44)(37,52,51,61)(40,53,48,60)(41,54,43,57);(31,36)(37,48)(38,49)(39,50)(40,51)(44,58)(52,60)(53,61)
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, 2296);
Finite Group Databasebeta