Finite Group Databasebeta

?

← Prev (#14560893) Next (#14560895) →

C₁₉×#3037 #14560894

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

484 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)(21,23)(24,25)(26,32)(27,35)(28,30)(29,33)(31,37)(34,39)(36,38);(20,21,22,23);(24,26,28,34)(25,29,30,38)(27,36,37,33)(31,39,35,32);(25,30)(29,38)(31,35)(32,39)

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, 1769);