Finite Group Databasebeta

?

← Prev (#15669494) Next (#15669496) →

C₂₃×#1876 #15669495

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

324 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 43 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(25,27)(29,33,35,38)(30,36,37,39);(24,25,26,27)(28,29,31,38,32,35,40,33)(30,34,39,42,37,43,36,41);(28,30)(29,34)(31,39)(32,37)(33,41)(35,43)(36,40)(38,42)

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 608);