Finite Group Databasebeta

?

← Prev (#14560342) Next (#14560344) →

C₁₉×#2486 #14560343

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

624 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)(21,22)(25,27)(28,29,31,33)(30,32,35,34);(20,21,23,22)(28,30)(29,32)(31,35)(33,34);(24,25)(26,27)(28,29)(30,34)(31,33)(32,35);(20,22,23,21)

Conjugacy classes & character table

722 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1218);