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C₁₉×#2932 #14560789

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

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, 1664);