Finite Group Databasebeta

?

← Prev (#15669334) Next (#15669336) →

C₂₃×#1716 #15669335

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

176 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)(25,28)(26,30)(29,31)(32,33,36,39)(34,40,42,47)(35,44,41,38)(37,45,46,43);(32,34,41,45,36,42,35,43)(33,37,44,47,39,46,38,40);(24,25,26,28,27,29,30,31)(34,42)(37,46)(40,47)(43,45)

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 448);