Finite Group Databasebeta

?

← Prev (#14560968) Next (#14560970) →

C₁₉×#3112 #14560969

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

424 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 35 points:

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

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, 1844);