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C₁₉×#3162 #14561019

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

348 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 points:

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

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, 1894);