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Aliases
Subgroups
122 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 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)(30,31,33,39,34,40,47,56,35,38,46,54,48,37,51,53)(32,41,43,55,44,52,58,61,42,36,45,50,57,49,59,60);(30,32)(31,36)(33,45)(34,44)(35,42)(37,52)(38,41)(39,55)(40,49)(43,46)(47,59)(48,57)(50,54)(51,58)(53,60)(56,61);(31,37,38,40)(32,42)(33,46)(36,49,41,52)(39,56,54,53)(44,57)(47,51)(50,61,55,60)
Conjugacy classes & character table
928 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 898);
Finite Group Databasebeta