Finite Group Databasebeta

?

← Prev (#16842646) Next (#16842648) →

C₃₁×#2714 #16842647

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

598 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)(38,42)(44,45,47,48)(46,49,50,51);(33,35)(37,40)(41,43)(45,48)(46,50);(32,33)(34,35)(36,37,39,40)(38,41,42,43)(44,45)(46,49)(47,48)(50,51);(36,38)(37,41)(39,42)(40,43)(44,46,47,50)(45,49,48,51)

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, 1446);