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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)(34,39)(35,40)(36,44)(37,38)(41,45)(42,43)(46,47)(49,53)(50,56)(51,59)(61,63);(33,38)(35,39)(41,44)(43,46)(48,49,52,53)(50,57,56,54)(51,55,59,60)(58,63,62,61);(32,34,37,40)(33,39,38,35)(36,42,45,47)(41,46,44,43)(48,49)(50,54)(51,55)(52,53)(56,57)(58,61)(59,60)(62,63);(32,35,37,39)(33,40,38,34)(36,43,45,46)(41,47,44,42)(48,50,52,56)(49,54,53,57)(51,58,59,62)(55,61,60,63);(32,36,37,45)(33,41,38,44)(34,42,40,47)(35,43,39,46)(48,51,52,59)(49,55,53,60)(50,58,56,62)(54,61,57,63)
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, 2289);
Finite Group Databasebeta