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Aliases
Subgroups
456 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 73 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)(38,39,41,40)(42,43)(44,52)(45,49)(46,58)(47,50)(48,54)(51,60)(53,66)(55,65)(56,64)(57,70)(59,62)(61,68)(63,69)(67,73)(71,72);(42,44,47,55)(43,48,50,62)(45,53,56,67)(46,59,60,54)(49,61,64,72)(51,65,58,52)(57,71,69,68)(63,73,70,66);(38,40,41,39)(42,45,47,56)(43,49,50,64)(44,53,55,67)(46,57,60,69)(48,61,62,72)(51,63,58,70)(52,66,65,73)(54,68,59,71);(43,50)(45,56)(48,62)(51,58)(52,65)(53,67)(57,69)(68,71)
Conjugacy classes & character table
1628 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 1682);
Finite Group Databasebeta