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C₁₉×#3285 #14561142

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

482 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)(25,29)(26,32)(27,35)(30,33)(31,36)(38,39);(24,25,28,31)(26,33,32,38)(27,36,35,29)(30,37,39,34);(21,23);(24,26,28,32)(25,30,31,39)(27,37,35,34)(29,38,36,33)

Conjugacy classes & character table

665 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 2017);