Finite Group Databasebeta

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C₃₁×#3155 #16843088

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

596 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 51 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)(33,35)(37,41)(39,42)(43,47)(44,48)(46,49)(50,51);(36,37,42,48,40,44,39,41)(38,43,49,51,45,50,46,47);(32,33,34,35)(36,38)(37,43)(39,46)(40,45)(41,47)(42,49)(44,50)(48,51);(38,45)(43,50)(46,49)(47,51)

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, 1887);