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Aliases
Subgroups
144 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 51 points:
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(20,21,25,30,26,32,42,31)(22,33,35,48,37,50,36,44)(23,29,38,47,39,28,24,40)(27,43,45,51,46,41,49,34);(20,22)(21,27)(23,34)(24,41)(25,35)(26,37)(28,44)(29,48)(30,45)(31,49)(32,46)(33,40)(36,42)(38,43)(39,51)(47,50);(20,23,25,38,26,39,42,24)(21,28,30,40,32,29,31,47)(22,34,35,43,37,51,36,41)(27,44,45,33,46,48,49,50)
Conjugacy classes & character table
608 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 911);
Finite Group Databasebeta