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C₁₉×#1837 #14559694

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

188 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 43 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)(28,29,32,38,34,39,33,37)(30,36,31,35,41,42,40,43);(21,24)(25,27)(28,30,33,40,34,41,32,31)(29,35,38,42,39,43,37,36);(20,22,23,26)(21,25,24,27)(28,31,32,41,34,40,33,30)(29,36,37,43,39,42,38,35)

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, 569);