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C₁₉×#2489 #14560346

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

476 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)(25,27)(26,30)(33,36)(34,38);(20,21,22,23)(24,25,28,27)(26,29,30,31)(32,33)(34,37)(35,36)(38,39);(20,21)(22,23)(24,26)(25,29)(27,31)(28,30);(24,27,28,25)(26,31,30,29)(32,34,35,38)(33,37,36,39)

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, 1221);