Finite Group Databasebeta

?

← Prev (#14559301) Next (#14559303) →

C₁₉×#1445 #14559302

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

520 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 39 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(24,25,26,27)(29,31)(33,36)(37,38);(21,23)(25,27)(28,29)(30,31)(32,33,35,36)(34,38,39,37);(20,21)(22,23)(24,25)(26,27)(28,29)(30,31)(32,34,35,39)(33,37,36,38)

Conjugacy classes & character table

836 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 177);