Finite Group Databasebeta

?

← Prev (#14560939) Next (#14560941) →

C₁₉×#3083 #14560940

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

376 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)(20,21,23,25)(22,26,27,24)(28,29)(30,34)(31,36)(32,41)(33,37)(35,38)(39,43)(40,42);(20,22,23,27)(21,24,25,26)(28,30)(29,34)(31,40)(32,38)(33,39)(35,41)(36,42)(37,43);(28,30)(29,35)(31,38)(32,40)(33,39)(34,41)(36,43)(37,42);(28,31,33,32)(29,36,37,41)(30,38,39,40)(34,35,43,42)

Conjugacy classes & character table

608 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1815);