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C₁₉×#3495 #14561352

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1022 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)(22,26)(24,27)(28,29,33,36)(30,31,38,34)(32,40,41,35)(37,42,43,39);(20,21,23,25)(22,24,26,27)(28,30,33,38)(29,34,36,31)(32,37,41,43)(35,42,40,39);(20,22)(21,24)(23,26)(25,27)(28,31)(29,30)(32,39)(33,34)(35,37)(36,38)(40,43)(41,42);(28,30)(29,31)(32,37)(33,38)(34,36)(35,39)(40,42)(41,43);(28,32,33,41)(29,35,36,40)(30,37,38,43)(31,39,34,42)

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, 2227);