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C₁₉×#2564 #14560421

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

584 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)(21,23)(24,25,28,29)(26,27,30,31)(33,34)(35,39);(25,29)(26,30)(32,33,36,34)(35,37,39,38);(20,21,22,23)(24,26)(25,27)(28,30)(29,31)(32,34,36,33)(35,38,39,37);(24,27)(25,26)(28,31)(29,30)(32,35)(33,37)(34,38)(36,39)

Conjugacy classes & character table

722 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1296);