← Prev (#16843470) Next (#16843472) →
Aliases
Subgroups
1014 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)(33,36)(34,38)(40,41,45,47)(42,48,50,43)(44,52,53,46)(49,51,55,54);(33,36)(37,39)(40,42,45,50)(41,43,47,48)(44,49,53,55)(46,51,52,54);(32,33)(34,37)(35,36)(38,39);(32,34)(33,37)(35,38)(36,39)(40,43)(41,42)(44,51)(45,48)(46,49)(47,50)(52,55)(53,54);(40,44,45,53)(41,46,47,52)(42,49,50,55)(43,51,48,54)
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, 2270);
Finite Group Databasebeta