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C₁₉×#2723 #14560580

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

498 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)(24,25,27,28)(26,29,30,31)(32,33,37,39)(34,36,35,38);(21,23)(25,28)(26,30)(32,34,37,35)(33,38,39,36);(20,21)(22,23)(24,25)(26,29)(27,28)(30,31)(32,35,37,34)(33,38,39,36);(24,26,27,30)(25,29,28,31)(32,36,37,38)(33,34,39,35)

Conjugacy classes & character table

608 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1455);