Finite Group Databasebeta

?

← Prev (#14560186) Next (#14560188) →

C₁₉×#2330 #14560187

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

444 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 39 points:

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

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, 1062);