Finite Group Databasebeta

?

← Prev (#15670337) Next (#15670339) →

C₂₃×#2719 #15670338

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

400 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)(30,33)(31,35)(36,37,39,41)(38,42,43,40);(25,27)(28,29,32,34)(30,31,33,35)(36,37)(38,42)(39,41)(40,43);(24,25)(26,27)(28,30,32,33)(29,31,34,35);(28,31)(29,33)(30,34)(32,35)(36,38,39,43)(37,40,41,42)

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, 1451);