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C₁₉×#2627 #14560484

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

508 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)(24,25)(26,28)(27,29)(30,31)(32,33,36,39)(34,37,38,35);(21,23)(24,25,27,29)(26,28,31,30)(32,34)(33,37)(35,39)(36,38);(20,21)(22,23)(24,25)(26,30)(27,29)(28,31)(32,35,36,37)(33,38,39,34);(24,26)(25,28)(27,31)(29,30)

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, 1359);