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C₁₉×#3007 #14560864

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

754 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)(24,25,29,33)(26,34,36,39)(27,32,28,31)(30,37,38,35);(24,26)(25,30)(27,35)(28,37)(29,36)(31,34)(32,39)(33,38);(21,23);(24,27,29,28)(25,31,33,32)(26,35,36,37)(30,34,38,39)

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, 1739);