Finite Group Databasebeta

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C₁₉×#3063 #14560920

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

472 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)(20,21)(22,23)(24,25,29,33)(26,34,36,37)(27,31,30,39)(28,35,38,32);(24,26,28,31,29,36,38,39)(25,30,32,34,33,27,35,37);(21,23)(24,27)(25,31)(26,35)(28,37)(29,30)(32,36)(33,39)(34,38);(26,36)(27,30)(31,39)(34,37)

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, 1795);