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C₁₉×#2948 #14560805

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

528 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)(26,30)(27,29)(28,31)(32,35)(33,38)(34,36)(37,39);(25,29)(27,35)(30,36)(31,32)(34,39)(37,38);(20,22,23,21)(24,26)(25,30)(27,34)(28,33)(29,36)(31,38)(32,37)(35,39);(25,31)(26,33)(29,32)(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, 1680);