Finite Group Databasebeta

?

← Prev (#16842699) Next (#16842701) →

C₃₁×#2767 #16842700

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

344 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 55 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)(32,33,36,35)(34,38,39,37)(42,45)(43,47)(49,52)(50,54);(33,35)(34,39)(40,41,44,46)(42,43,45,47)(48,49,51,52)(50,55,54,53);(32,34,36,39)(33,37,35,38)(40,42,44,45)(41,43,46,47);(32,35,36,33)(34,38,39,37)(40,43)(41,45)(42,46)(44,47)(48,50,51,54)(49,53,52,55)

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, 1499);