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C₁₉×#2943 #14560800

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

492 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)(20,21,23,22)(24,25)(26,33)(27,32)(28,36)(29,31)(30,34)(35,39)(37,38);(24,26)(25,30)(27,34)(28,37)(29,35)(31,38)(32,39)(33,36);(20,22,23,21)(25,31)(30,38)(32,36)(33,39);(24,27,29,28)(25,32,31,36)(26,34,35,37)(30,39,38,33)

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, 1675);