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C₁₉×#3268 #14561125

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

510 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)(27,35)(30,36)(31,32)(33,39)(37,38);(24,25,28,32)(26,30,34,38)(27,31,35,29)(33,37,39,36);(21,23)(24,26,28,34)(25,30,32,38)(27,33,35,39)(29,36,31,37);(25,31)(27,35)(29,32)(30,37)(33,39)(36,38)

Conjugacy classes & character table

551 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 2000);