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C₁₉×#2906 #14560763

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

484 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)(24,25,27,30,28,31,34,37)(26,29,33,36,32,35,38,39);(20,21,22,23);(24,26)(25,29)(27,33)(28,32)(30,36)(31,35)(34,38)(37,39);(26,32)(29,35)(33,38)(36,39)

Conjugacy classes & character table

950 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1638);