Finite Group Databasebeta

?

← Prev (#14561203) Next (#14561205) →

C₁₉×#3347 #14561204

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

360 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)(20,21,24,23)(22,26,27,25)(28,29)(30,37)(31,35)(32,40)(33,36)(34,39)(38,43)(41,42);(20,22)(21,25)(23,26)(24,27)(30,38)(34,42)(37,43)(39,41);(20,23,24,21)(22,26,27,25)(28,30)(29,34)(31,39)(32,41)(33,38)(35,43)(36,42)(37,40);(22,27)(25,26)(28,31,33,32)(29,35,36,40)(30,39,38,41)(34,43,42,37)

Conjugacy classes & character table

551 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 2079);