Finite Group Databasebeta

?

← Prev (#15670896) Next (#15670898) →

C₂₃×#3278 #15670897

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

482 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)(24,25)(26,27)(28,29,33,31)(30,36,37,43)(32,40,42,35)(34,41,39,38);(28,30,33,37)(29,34,31,39)(32,41,42,38)(35,43,40,36);(25,27)(30,37)(34,39)(36,43)(38,41);(28,31,33,29)(30,36,37,43)(32,35,42,40)(34,41,39,38)

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2010);