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C₁₉×#2949 #14560806

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

492 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)(20,21,23,22)(24,25)(26,32)(27,35)(28,30)(29,33)(31,37)(34,39)(36,38);(24,26,28,34)(25,29,30,38)(27,36,37,33)(31,39,35,32);(20,22,23,21)(24,25)(26,29)(27,31)(28,30)(32,33)(34,38)(35,37)(36,39);(25,30)(29,38)(31,35)(32,39)

Conjugacy classes & character table

836 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1681);