← Prev (#15670603) Next (#15670605) →
Aliases
Subgroups
322 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 55 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)(26,32)(27,30)(28,31)(29,34)(33,38)(35,37)(36,39)(40,41,43,46,44,47,50,53)(42,45,49,52,48,51,54,55);(24,26,28,34)(25,29,31,32)(27,35,36,33)(30,38,39,37)(40,42)(41,45)(43,49)(44,48)(46,52)(47,51)(50,54)(53,55);(24,27,28,36)(25,30,31,39)(26,33,34,35)(29,37,32,38);(25,31)(29,32)(30,39)(37,38)(42,48)(45,51)(49,54)(52,55)
Conjugacy classes & character table
1012 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2944, 1717);
Finite Group Databasebeta