Finite Group Databasebeta

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C₁₉×#2684 #14560541

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

688 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)(26,30)(27,28)(29,31)(33,36)(37,38);(21,23)(25,28)(26,31)(32,33,35,36)(34,38,39,37);(20,21)(22,23)(24,25)(26,29)(27,28)(30,31)(32,33)(34,37)(35,36)(38,39);(24,26)(25,29)(27,31)(28,30)(32,34)(33,37)(35,39)(36,38)

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, 1416);