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C₃₁×#2103 #16842036

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

148 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(32,33,36,41,37,42,38,53)(34,43,45,55,47,58,46,39)(35,48,50,62,51,40,52,57)(44,56,59,63,60,61,49,54);(32,34,38,45,37,47,36,46)(33,39,53,43,42,55,41,58)(35,49,52,44,51,59,50,60)(40,56,62,63,48,61,57,54);(32,35,36,50,37,51,38,52)(33,40,41,57,42,48,53,62)(34,44,45,59,47,60,46,49)(39,54,43,56,55,63,58,61)

Conjugacy classes & character table

806 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 835);