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C₁₉×#3115 #14560972

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

430 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)(29,32)(30,33)(34,35);(21,24)(25,27)(28,29,31,32)(30,33,34,35);(28,30)(29,33)(31,34)(32,35);(20,22,23,26)(21,25,24,27)(30,34)(33,35)

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, 1847);