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C₁₉×#2701 #14560558

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

554 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)(32,33,35,37)(34,38,39,36);(21,23)(25,26)(27,31)(32,33,35,37)(34,36,39,38);(20,21)(22,23)(24,26,28,25)(27,30,31,29)(32,33)(34,36)(35,37)(38,39);(24,27)(25,29)(26,30)(28,31)(32,34)(33,36)(35,39)(37,38)

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, 1433);