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Aliases
Subgroups
362 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 61 points:
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37)(38,39)(40,43)(41,44)(42,45)(46,47)(48,54)(49,52)(50,53)(51,56)(55,60)(57,59)(58,61);(38,40,42,41)(39,43,45,44)(46,48,50,56)(47,51,53,54)(49,57,58,55)(52,60,61,59);(39,44)(40,41)(43,45)(46,49,50,58)(47,52,53,61)(48,55,56,57)(51,59,54,60);(47,53)(51,54)(52,61)(59,60)
Conjugacy classes & character table
962 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 1970);
Finite Group Databasebeta