Finite Group Databasebeta

?

← Prev (#15670313) Next (#15670315) →

C₂₃×#2695 #15670314

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

504 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)(30,32)(31,33)(34,35)(36,37)(38,43)(39,42)(40,41);(25,27)(29,30)(31,35)(36,38,41,39)(37,42,40,43);(24,25)(26,27)(28,30,32,29)(31,34,35,33)(36,39,41,38)(37,42,40,43);(28,31,32,35)(29,33,30,34)(36,40,41,37)(38,42,39,43)

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, 1427);