Finite Group Databasebeta

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C₁₉×#3110 #14560967

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

444 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)(22,25)(23,24)(26,27)(28,29,31,33)(30,35,32,34);(21,24)(25,27)(29,33)(34,35);(29,34)(30,32)(33,35);(20,22,23,26)(21,25,24,27)(28,30,31,32)(29,35,33,34)

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, 1842);