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Aliases
Subgroups
90 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 69 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)(38,39,41,46,42,47,52,60,43,45,51,57,53,58,64,67)(40,44,49,54,50,56,63,65,48,55,61,59,62,66,69,68);(38,40)(39,44,45,55)(41,49)(42,50)(43,48)(46,59,57,54)(47,56,58,66)(51,61)(52,63)(53,62)(60,68,67,65)(64,69)
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, 60);
Finite Group Databasebeta