Finite Group Databasebeta

?

← Prev (#14561193) Next (#14561195) →

C₁₉×#3337 #14561194

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

354 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)(28,29,32,36)(30,33,38,42)(31,34,39,35)(37,40,43,41);(20,22)(21,25)(23,26)(24,27)(28,30,32,38)(29,33,36,42)(31,37,39,43)(34,40,35,41);(20,23,24,21)(22,26,27,25)(29,34)(31,39)(33,40)(35,36)(37,43)(41,42);(22,27)(25,26)

Conjugacy classes & character table

665 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 2069);