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Aliases
Subgroups
194 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 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)(38,39,41,45,42,44,50,52)(40,46,47,53,48,43,49,51)(54,55)(56,63,65,68)(57,66)(58,61)(59,62)(60,64,69,67);(38,40,42,48)(39,43,44,46)(41,49,50,47)(45,53,52,51)(54,56)(55,60)(57,64)(58,67)(59,65)(61,68)(62,69)(63,66);(54,57,59,58)(55,61,62,66)(56,64,65,67)(60,68,69,63)
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, 269);
Finite Group Databasebeta