Finite Group Databasebeta

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C₁₉×#3283 #14561140

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

Conjugacy classes & character table

665 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 2015);