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C₁₉×#1917 #14559774

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

228 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(26,29)(27,28)(30,31)(32,33,37,34,36,38,35,39);(25,28)(29,31)(32,34,37,38,36,39,35,33);(21,23)(24,26,27,30)(25,29,28,31)(32,35,36,37)(33,34,38,39)

Conjugacy classes & character table

836 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 649);