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C₁₉×#3273 #14561130

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

520 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 39 points:

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

Conjugacy classes & character table

551 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 2005);