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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)(32,33)(34,38)(35,36)(37,39)(41,45)(42,48)(43,51)(53,55);(33,36)(37,38)(40,41,44,45)(42,49,48,46)(43,47,51,52)(50,55,54,53);(40,42,44,48)(41,46,45,49)(43,50,51,54)(47,53,52,55);(32,33)(34,37)(35,36)(38,39)(40,41)(42,46)(43,47)(44,45)(48,49)(50,53)(51,52)(54,55);(32,34,35,39)(33,37,36,38)(40,43,44,51)(41,47,45,52)(42,50,48,54)(46,53,49,55)
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, 2286);
Finite Group Databasebeta