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C₁₉×#3035 #14560892

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

Conjugacy classes & character table

722 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1767);