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Aliases
Subgroups
958 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)(30,31,35,37)(32,41,45,43)(33,36,40,46)(34,48,49,39)(38,52,51,42)(44,57,58,55)(47,59,54,50)(53,56,60,61);(31,37)(32,42)(33,40)(38,43)(39,48)(41,51)(44,56)(45,52)(47,54)(53,57)(55,60)(58,61);(30,32,35,45)(31,38,37,51)(33,43,40,41)(34,44,49,58)(36,42,46,52)(39,53,48,60)(47,57,54,55)(50,56,59,61);(30,33,46,31)(32,43,52,38)(34,47,59,39)(35,40,36,37)(41,42,51,45)(44,57,61,53)(48,49,54,50)(55,56,60,58);(30,34,46,59)(31,39,33,47)(32,44,52,61)(35,49,36,50)(37,48,40,54)(38,53,43,57)(41,55,51,60)(42,56,45,58)
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, 2300);
Finite Group Databasebeta