Finite Group Databasebeta

?

← Prev (#15669866) Next (#15669868) →

C₂₃×#2248 #15669867

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

196 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)(30,37)(31,38)(34,39)(35,43)(36,42)(40,41);(28,29,34,43,31,35,30,33,32,36,37,41,38,40,39,42);(24,25,26,27)

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, 980);