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Aliases
Subgroups
1022 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 5 generators on 55 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)(34,38)(36,39)(40,41,45,48)(42,43,50,46)(44,52,53,47)(49,54,55,51);(32,33,35,37)(34,36,38,39)(40,42,45,50)(41,46,48,43)(44,49,53,55)(47,54,52,51);(32,34)(33,36)(35,38)(37,39)(40,43)(41,42)(44,51)(45,46)(47,49)(48,50)(52,55)(53,54);(40,42)(41,43)(44,49)(45,50)(46,48)(47,51)(52,54)(53,55);(40,44,45,53)(41,47,48,52)(42,49,50,55)(43,51,46,54)
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, 2227);
Finite Group Databasebeta