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C₁₉×#3042 #14560899

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

494 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)(24,25,28,32)(26,29,33,37)(27,30,35,31)(34,36,39,38);(20,21,22,23)(24,26)(25,29)(27,34)(28,33)(30,36)(31,38)(32,37)(35,39);(25,30)(27,35)(29,36)(31,32)(34,39)(37,38);(26,33)(29,37)(34,39)(36,38)

Conjugacy classes & character table

608 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1774);