Finite Group Databasebeta

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C₁₉×#2851 #14560708

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

556 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)(21,23)(24,25,28,31)(26,30,27,29)(32,33,36,35)(34,38,39,37);(24,26,28,27)(25,29,31,30)(32,34)(33,37)(35,38)(36,39);(24,27,28,26)(25,30,31,29)(32,35,36,33)(34,38,39,37);(20,21)(22,23)(24,25)(26,29)(27,30)(28,31)(32,34)(33,37)(35,38)(36,39)

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, 1583);