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Aliases
Subgroups
440 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 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)(32,33,37,41,38,42,36,51)(34,43,46,53,47,57,45,39)(35,40,50,55,48,54,49,61)(44,56,60,62,58,63,59,52);(32,34,36,45,38,47,37,46)(33,39,41,43,42,53,51,57)(35,44,49,59,48,58,50,60)(40,52,55,56,54,62,61,63);(32,35)(33,40)(34,44)(36,49)(37,50)(38,48)(39,52)(41,55)(42,54)(43,56)(45,59)(46,60)(47,58)(51,61)(53,62)(57,63);(35,48)(40,54)(44,58)(49,50)(52,62)(55,61)(56,63)(59,60)
Conjugacy classes & character table
1364 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3968, 1648);
Finite Group Databasebeta