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Aliases
Subgroups
1012 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)(42,49)(43,44)(45,46)(47,52)(48,53)(50,55)(51,54);(32,33,35,37)(34,36,38,39)(41,46)(43,48)(47,49)(50,54);(32,34,35,38)(33,36,37,39)(40,42,45,52)(41,47,46,49)(43,50,48,54)(44,51,53,55);(40,43,45,48)(41,44,46,53)(42,50,52,54)(47,51,49,55);(40,44)(41,48)(42,51)(43,46)(45,53)(47,54)(49,50)(52,55)
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, 2239);
Finite Group Databasebeta