Finite Group Databasebeta

?

← Prev (#15670387) Next (#15670389) →

C₂₃×#2769 #15670388

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

344 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 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)(24,25,28,26)(27,30,31,29)(32,33)(34,37)(35,36)(38,39)(42,45)(43,47);(25,26)(27,31)(33,35)(37,38)(40,41,44,46)(42,43,45,47);(24,26,28,25)(27,30,31,29)(32,34,36,39)(33,37,35,38)(40,42,44,45)(41,43,46,47);(24,27,28,31)(25,29,26,30)(32,35,36,33)(34,38,39,37)(40,43)(41,45)(42,46)(44,47)

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1501);