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C₁₉×#3458 #14561315

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

996 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(30,36)(31,35)(32,34)(33,37)(38,42)(39,41)(40,43);(28,30)(29,33)(31,38)(32,37)(34,36)(35,40)(39,43)(41,42);(20,22,23,27)(21,24,25,26)(30,37)(33,36)(38,43)(40,42);(29,34)(33,36)(35,41)(40,42);(28,31,32,39)(29,35,34,41)(30,38,37,43)(33,40,36,42)

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, 2190);