Finite Group Databasebeta

?

← Prev (#16841962) Next (#16841964) →

C₃₁×#2030 #16841963

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

290 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(32,33,35,37)(34,38,39,36)(40,41)(42,45)(43,46)(44,47)(48,53)(49,52)(50,54)(51,55);(32,34,35,39)(33,36,37,38)(40,42)(41,45)(43,48)(44,49)(46,53)(47,52)(50,55)(51,54);(40,43,44,50)(41,46,47,54)(42,48,49,55)(45,51,52,53)

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, 762);