Finite Group Databasebeta

?

← Prev (#14560937) Next (#14560939) →

C₁₉×#3081 #14560938

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

398 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)(30,33)(31,34)(32,36)(35,39)(37,41)(38,40)(42,43);(20,22,23,27)(21,24,25,26)(28,30)(29,33)(31,38)(32,37)(34,40)(35,42)(36,41)(39,43);(29,34)(31,39)(33,40)(35,36)(38,43)(41,42);(30,37)(33,41)(38,43)(40,42)

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, 1813);