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C₁₉×#2398 #14560255

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

568 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)(32,33,35,37)(34,38,39,36);(20,21)(22,23)(24,26,28,27)(25,29,30,31)(32,34,35,39)(33,36,37,38);(21,23)(33,37)(36,38);(24,27,28,26)(25,29,30,31)

Conjugacy classes & character table

836 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1130);