Finite Group Databasebeta

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C₁₉×#2952 #14560809

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

484 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)(20,21,23,22)(24,25,30,35)(26,36,27,32)(28,34,29,33)(31,38,39,37);(24,26,30,27)(25,31,35,39)(28,37,29,38)(32,33,36,34);(20,22,23,21)(24,27,30,26)(25,32,35,36)(28,37,29,38)(31,33,39,34);(24,28,30,29)(25,33,35,34)(26,37,27,38)(31,36,39,32)

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, 1684);