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C₁₉×#2103 #14559960

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

148 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 51 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(20,21,24,29,25,30,26,41)(22,31,33,43,35,46,34,27)(23,36,38,50,39,28,40,45)(32,44,47,51,48,49,37,42);(20,22,26,33,25,35,24,34)(21,27,41,31,30,43,29,46)(23,37,40,32,39,47,38,48)(28,44,50,51,36,49,45,42);(20,23,24,38,25,39,26,40)(21,28,29,45,30,36,41,50)(22,32,33,47,35,48,34,37)(27,42,31,44,43,51,46,49)

Conjugacy classes & character table

494 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 835);