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Aliases
Subgroups
5796 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 6 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)(32,37)(33,38)(34,46)(35,36)(39,47)(40,50)(41,55)(42,48)(43,52)(44,58)(45,49)(51,56)(53,59)(54,61)(57,60);(31,36)(37,48)(38,49)(39,46)(50,52)(51,55)(53,58)(60,61);(30,32,35,42)(31,37,36,48)(33,43,45,40)(34,41,47,56)(38,52,49,50)(39,51,46,55)(44,57,59,54)(53,61,58,60);(30,33,35,45)(31,38,36,49)(32,40,42,43)(34,44,47,59)(37,50,48,52)(39,53,46,58)(41,54,56,57)(51,60,55,61);(30,31)(32,37)(33,38)(34,39)(35,36)(40,50)(41,51)(42,48)(43,52)(44,53)(45,49)(46,47)(54,60)(55,56)(57,61)(58,59);(30,34)(31,39)(32,41)(33,44)(35,47)(36,46)(37,51)(38,53)(40,54)(42,56)(43,57)(45,59)(48,55)(49,58)(50,60)(52,61)
Conjugacy classes & character table
1885 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 2327);
Finite Group Databasebeta