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Aliases
Subgroups
910 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 5 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)(38,39,43,46)(40,41,48,44)(42,50,51,45)(47,52,53,49)(54,55,58,61)(56,59,64,62)(57,65,66,60)(63,68,69,67);(38,40,43,48)(39,44,46,41)(42,47,51,53)(45,52,50,49)(54,55)(56,62)(57,60)(58,61)(59,64)(63,68)(65,66)(67,69);(38,41,43,44)(39,40,46,48)(42,49,51,52)(45,47,50,53);(38,40)(39,44)(41,46)(42,47)(43,48)(45,52)(49,50)(51,53)(54,56)(55,59)(57,63)(58,64)(60,67)(61,62)(65,68)(66,69);(38,42,43,51)(39,45,46,50)(40,47,48,53)(41,49,44,52)(54,57,58,66)(55,60,61,65)(56,63,64,69)(59,67,62,68)
Conjugacy classes & character table
1406 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 2287);
Finite Group Databasebeta