Finite Group Databasebeta

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C₃₁×#3110 #16843043

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

444 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 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)(34,37)(35,36)(38,39)(40,41,43,45)(42,47,44,46);(33,36)(37,39)(41,45)(46,47);(41,46)(42,44)(45,47);(32,34,35,38)(33,37,36,39)(40,42,43,44)(41,47,45,46)

Conjugacy classes & character table

992 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1842);