Finite Group Databasebeta

?

← Prev (#15670242) Next (#15670244) →

C₂₃×#2624 #15670243

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

548 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)(30,33)(31,32)(34,35)(37,40)(41,42);(25,27)(29,32)(33,34)(36,37,39,40)(38,41,43,42);(24,25)(26,27)(28,29)(30,34)(31,32)(33,35)(36,37)(38,42)(39,40)(41,43);(28,30,31,35)(29,33,32,34)(36,38,39,43)(37,41,40,42)

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1356);