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C₁₉×#1380 #14559237

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

152 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 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)(22,23)(24,25,26,27)(29,34)(30,38)(31,40)(32,39)(35,36)(37,43)(41,42);(21,23)(28,29,31,35,32,36,30,34,33,37,38,42,39,41,40,43)

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, 112);