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C₁₉×#1407 #14559264

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

98 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 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)(22,30,32,45)(23,34,35,50)(24,37,39,28)(25,29)(26,31,40,47)(27,36)(33,43,38,46)(41,48,42,49)(44,51);(20,22,25,33)(21,26,29,42)(23,31,35,49)(24,38,39,32)(27,43,44,30)(28,40,37,41)(34,46,50,45)(36,47,51,48)

Conjugacy classes & character table

266 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 139);