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Aliases
Subgroups
930 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 5 generators on 63 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)(32,33,36,37)(34,40,41,38)(35,43,44,39)(42,45,47,46)(48,49)(50,55)(51,56)(52,60)(53,54)(57,61)(58,59)(62,63);(33,37)(34,41)(39,43)(42,47)(49,54)(51,55)(57,60)(59,62);(32,34,36,41)(33,38,37,40)(35,42,44,47)(39,45,43,46)(48,50,53,56)(49,55,54,51)(52,58,61,63)(57,62,60,59);(32,33)(34,38)(35,39)(36,37)(40,41)(42,45)(43,44)(46,47)(48,51,53,55)(49,56,54,50)(52,59,61,62)(57,63,60,58);(32,35,36,44)(33,39,37,43)(34,42,41,47)(38,45,40,46)(48,52,53,61)(49,57,54,60)(50,58,56,63)(51,59,55,62)
Conjugacy classes & character table
1178 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3968, 2297);
Finite Group Databasebeta