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Aliases
Subgroups
200 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)(22,30,33,43)(23,27)(24,28)(25,29)(26,32,38,46)(31,42,45,50)(34,39)(35,40)(36,41)(37,44,48,51)(47,49);(20,22)(21,26,29,38)(23,31)(24,32)(25,33)(27,37,40,48)(28,30,41,43)(34,44)(35,45)(36,46)(39,42,49,50)(47,51);(20,23,24,34,25,35,36,47)(21,27,28,39,29,40,41,49)(22,31,32,44,33,45,46,51)(26,37,30,42,38,48,43,50)
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, 479);
Finite Group Databasebeta