Finite Group Databasebeta

?

← Prev (#16841856) Next (#16841858) →

C₃₁×#1924 #16841857

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

280 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 47 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)(34,35)(37,38)(40,41,44,46,43,42,45,47);(36,37,39,38)(40,42,44,47,43,41,45,46);(33,35)(36,38,39,37)(41,42)(46,47)

Conjugacy classes & character table

1364 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 656);