Finite Group Databasebeta

?

← Prev (#15670071) Next (#15670073) →

C₂₃×#2453 #15670072

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

452 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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, 1185);