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C₁₉×#2689 #14560546

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

456 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)(24,25,28,30)(26,31,27,29)(32,33)(34,37)(35,39)(36,38);(21,23)(24,26,28,27)(25,29,30,31)(32,34,36,39)(33,37,38,35);(20,21)(22,23)(24,27,28,26)(25,29,30,31)(32,34)(33,35)(36,39)(37,38);(24,25)(26,31)(27,29)(28,30)(32,35)(33,34)(36,37)(38,39)

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, 1421);