← Prev (#17992381) Next (#17992383) →
Aliases
Subgroups
936 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)(38,39,43,47)(40,48,49,45)(41,52,55,46)(42,44,54,58)(50,60,62,61)(51,59,63,56)(53,66,67,57)(64,69,65,68);(39,44)(40,49)(41,53)(45,59)(47,58)(48,56)(50,64)(51,63)(55,67)(60,61)(62,65)(68,69);(38,40,42,51)(39,45,44,56)(41,50,53,65)(43,49,54,63)(46,60,57,68)(47,48,58,59)(52,61,66,69)(55,62,67,64);(38,41,54,67)(39,46,58,66)(40,50,63,64)(42,53,43,55)(44,57,47,52)(45,60,59,69)(48,61,56,68)(49,62,51,65);(39,44)(45,56)(46,57)(47,58)(48,59)(52,66)(60,68)(61,69)
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, 2296);
Finite Group Databasebeta