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C₁₉×#3056 #14560913

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

496 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)(24,25,28,31)(26,32,33,39)(27,35,36,30)(29,37,38,34);(24,26,27,34,28,33,36,37)(25,29,30,32,31,38,35,39);(21,23);(26,33)(29,38)(32,39)(34,37)

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, 1788);