Finite Group Databasebeta

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C₃₁×#2091 #16842024

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

222 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 47 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)(32,33,35,39,36,38,41,45)(34,40,42,46,43,47,44,37);(32,34,41,42,36,43,35,44)(33,37,45,40,38,46,39,47);(33,38)(39,45)

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, 823);