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C₁₉×#2177 #14560034

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

172 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)(20,21,23,22)(24,25,27,30)(26,29,35,37)(28,36,34,32)(31,39,38,33);(25,29)(26,33)(28,34)(30,37)(31,32)(35,39)(36,38);(20,22,23,21)(25,30)(29,37)(31,38)(32,36)

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, 909);