Finite Group Databasebeta

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C₁₉×#2956 #14560813

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

458 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)(20,21,24,28,25,22,29,27)(23,26,32,34,31,30,35,33);(20,22)(21,25)(23,30)(24,27)(26,31)(28,29)(32,33)(34,35);(20,23,24,32,25,31,29,35)(21,26,28,34,22,30,27,33);(23,31)(26,30)(32,35)(33,34)

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, 1688);