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Aliases
Subgroups
890 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)(32,33,37,35)(34,40,42,38)(36,43,44,39)(41,45,47,46)(48,49,53,57)(50,55,51,54)(52,60,61,56)(58,62,59,63);(32,34,37,42)(33,38,35,40)(36,41,44,47)(39,45,43,46)(48,49)(50,55)(51,54)(52,56)(53,57)(58,63)(59,62)(60,61);(48,50,53,51)(49,54,57,55)(52,58,61,59)(56,62,60,63);(32,35,37,33)(34,38,42,40)(36,43,44,39)(41,45,47,46)(48,51,53,50)(49,55,57,54)(52,59,61,58)(56,63,60,62);(32,36,37,44)(33,39,35,43)(34,41,42,47)(38,45,40,46)(48,52,53,61)(49,56,57,60)(50,58,51,59)(54,62,55,63)
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, 2288);
Finite Group Databasebeta