Finite Group Databasebeta

?

← Prev (#14561305) Next (#14561307) →

C₁₉×#3449 #14561306

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1556 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(22,23)(24,25)(26,32)(27,31)(28,30)(29,33)(34,38)(35,37)(36,39);(24,26)(25,29)(27,34)(28,33)(30,32)(31,36)(35,39)(37,38);(21,23)(26,33)(29,32)(34,39)(36,38);(25,30)(29,32)(31,37)(36,38);(24,27,28,35)(25,31,30,37)(26,34,33,39)(29,36,32,38)

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, 2181);