Finite Group Databasebeta

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C₁₉×#2674 #14560531

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

562 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 35 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(21,23)(28,29,32,34)(30,35,31,33);(25,27)(28,30,32,31)(29,33,34,35);(20,21)(22,23)(24,25)(26,27)(28,31,32,30)(29,33,34,35);(20,21)(22,23)(28,29)(30,35)(31,33)(32,34)

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, 1406);