Finite Group Databasebeta

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C₃₁×#2244 #16842177

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

152 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)(34,37)(35,36)(38,39)(41,47)(42,53)(43,48)(44,55)(45,49)(50,51)(52,54);(33,36)(37,39)(40,41,48,42,45,51,55,54,46,52,44,50,49,53,43,47);(32,34,35,38)(33,37,36,39)(40,42,43,41,49,47,44,53,46,50,55,52,45,54,48,51)

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, 976);