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C₁₉×#2935 #14560792

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

Conjugacy classes & character table

950 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1667);