Finite Group Databasebeta

?

← Prev (#14560100) Next (#14560102) →

C₁₉×#2244 #14560101

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

152 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)(29,35)(30,41)(31,36)(32,43)(33,37)(38,39)(40,42);(21,24)(25,27)(28,29,36,30,33,39,43,42,34,40,32,38,37,41,31,35);(20,22,23,26)(21,25,24,27)(28,30,31,29,37,35,32,41,34,38,43,40,33,42,36,39)

Conjugacy classes & character table

494 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 976);