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C₁₉×#2726 #14560583

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

416 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)(26,28)(27,29)(30,31)(32,33,36,39)(34,37,38,35);(21,23)(25,26)(27,31)(32,34,36,38)(33,37,39,35);(20,21)(22,23)(24,26,28,25)(27,30,31,29)(32,35,36,37)(33,38,39,34);(24,27,28,31)(25,29,26,30)(32,33)(34,37)(35,38)(36,39)

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, 1458);