Finite Group Databasebeta

?

← Prev (#15668990) Next (#15668992) →

C₂₃×#1372 #15668991

• nilpotent
• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

70 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 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)(24,25,26,28,27,29,30,31)(33,37)(34,41)(35,42)(38,43)(39,47)(40,46)(44,45);(32,33,38,47,35,39,34,37,36,40,41,45,42,44,43,46)

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 104);