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Aliases
Subgroups
452 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 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)(40,50)(41,55)(42,47)(43,48)(44,49)(45,52)(46,56)(51,65)(53,61)(54,60)(57,62)(58,63)(59,67)(64,66)(68,69);(38,40,42,52,44,54,43,53)(39,45,48,50,49,61,47,60)(41,51,56,66,57,67,58,68)(46,59,55,64,63,65,62,69);(38,41)(39,46)(40,51)(42,56)(43,58)(44,57)(45,59)(47,62)(48,55)(49,63)(50,64)(52,66)(53,68)(54,67)(60,69)(61,65);(38,42,44,43)(39,47,49,48)(40,52,54,53)(41,56,57,58)(45,60,61,50)(46,62,63,55)(51,66,67,68)(59,69,65,64)
Conjugacy classes & character table
1184 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 1799);
Finite Group Databasebeta