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C₁₉×#3204 #14561061

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

402 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)(22,26)(23,25)(24,27)(28,29,32,37)(30,39,41,34)(31,38,33,36)(35,42,43,40);(20,22)(21,24)(23,27)(25,26)(28,30,32,41)(29,34,37,39)(31,42,33,40)(35,36,43,38);(22,27)(24,26)(28,30)(29,35)(31,40)(32,41)(33,42)(34,38)(36,39)(37,43);(21,25)(24,26)(28,31,32,33)(29,36,37,38)(30,40,41,42)(34,35,39,43)

Conjugacy classes & character table

494 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1936);