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C₁₉×#3280 #14561137

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

526 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)(24,25,28,30)(26,32,35,39)(27,36,37,31)(29,33,38,34);(24,26)(25,29)(27,33)(28,35)(30,38)(31,39)(32,36)(34,37);(21,23);(25,30)(26,33)(27,37)(29,32)(34,35)(38,39)

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, 2012);