Finite Group Databasebeta

?

← Prev (#14560097) Next (#14560099) →

C₁₉×#2241 #14560098

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

140 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(22,25)(23,24)(26,27)(28,29,35,30)(31,32,41,43)(33,40,36,37)(34,42,39,38);(21,24)(25,27)(28,30,33,41,34,42,32,40,35,29,36,31,39,38,43,37);(20,22,23,26)(21,25,24,27)(28,31,32,30,39,40,33,38,35,41,43,29,34,37,36,42)

Conjugacy classes & character table

722 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 973);