Finite Group Databasebeta

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C₃₁×#2481 #16842414

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

546 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)(36,37,40,41)(38,43,42,39)(44,45)(46,47)(48,50)(49,51);(33,35)(37,41)(38,42)(44,46,48,51)(45,47,50,49);(32,33)(34,35)(36,38,40,42)(37,39,41,43)(44,46)(45,49)(47,50)(48,51);(36,39)(37,42)(38,41)(40,43)(44,47,48,49)(45,46,50,51)

Conjugacy classes & character table

1178 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1213);