Finite Group Databasebeta

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C₃₁×#2814 #16842747

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

478 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)(37,40)(41,43)(44,45,48,51)(46,47,50,49);(33,35)(37,40)(38,42)(44,46,48,50)(45,49,51,47);(32,33)(34,35)(36,37)(38,41)(39,40)(42,43)(44,46)(45,47)(48,50)(49,51);(36,38)(37,41)(39,42)(40,43)(44,47)(45,50)(46,51)(48,49)

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, 1546);