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C₃₁×#2255 #16842188

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

120 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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, 987);