Finite Group Databasebeta

?

← Prev (#15670179) Next (#15670181) →

C₂₃×#2561 #15670180

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

672 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)(30,34)(31,35)(32,33)(37,40)(38,42);(29,33)(30,35)(36,37,39,40)(38,41,42,43);(24,25)(26,27)(28,30)(29,31)(32,35)(33,34);(28,31)(29,30)(32,34)(33,35)(36,38)(37,41)(39,42)(40,43)

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, 1293);