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C₁₉×#3188 #14561045

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

472 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)(22,26)(23,25)(24,27)(28,29)(30,35)(31,34)(32,33);(20,22)(21,24)(23,27)(25,26)(28,30,31,32)(29,33,34,35);(22,27)(24,26)(29,33)(30,32)(34,35);(21,25)(24,26)(29,34)(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, 1920);