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C₁₉×#2722 #14560579

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

448 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)(26,27)(28,29)(30,31)(32,33)(34,39)(35,38)(36,37);(21,23)(25,29)(27,30)(32,34,37,35)(33,38,36,39);(20,21)(22,23)(24,26)(25,30)(27,29)(28,31)(32,35,37,34)(33,38,36,39);(24,27,28,30)(25,26,29,31)(32,36,37,33)(34,38,35,39)

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, 1454);