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Aliases
Subgroups
322 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 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)(22,28)(23,26)(24,27)(25,30)(29,34)(31,33)(32,35)(36,37,39,42,40,43,46,49)(38,41,45,48,44,47,50,51);(20,22,24,30)(21,25,27,28)(23,31,32,29)(26,34,35,33)(36,38)(37,41)(39,45)(40,44)(42,48)(43,47)(46,50)(49,51);(20,23,24,32)(21,26,27,35)(22,29,30,31)(25,33,28,34);(21,27)(25,28)(26,35)(33,34)(38,44)(41,47)(45,50)(48,51)
Conjugacy classes & character table
836 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 1717);
Finite Group Databasebeta