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C₁₉×#3018 #14560875

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

724 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)(22,29)(23,27)(24,32)(25,28)(26,30)(31,34)(33,35);(20,22)(21,26)(23,30)(24,33)(25,31)(27,34)(28,35)(29,32);(20,21)(22,26)(23,27)(24,32)(25,28)(29,33)(30,34)(31,35);(20,23,25,24)(21,27,28,32)(22,30,31,33)(26,34,35,29)

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, 1750);