← Prev (#17992017) Next (#17992019) →
Aliases
Subgroups
410 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 61 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)(40,44)(41,43)(42,45)(46,47,50,54)(48,51,55,59)(49,52,57,53)(56,58,61,60);(38,40)(39,42)(41,45)(43,44)(46,48,50,55)(47,51,54,59)(49,56,57,61)(52,58,53,60);(40,45)(42,44)(47,52)(49,57)(51,58)(53,54)(56,61)(59,60);(39,43)(42,44)(48,55)(51,59)(56,61)(58,60)
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, 1932);
Finite Group Databasebeta