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C₁₉×#3278 #14561135

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

482 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)(24,25,29,27)(26,32,33,39)(28,36,38,31)(30,37,35,34);(24,26,29,33)(25,30,27,35)(28,37,38,34)(31,39,36,32);(21,23)(26,33)(30,35)(32,39)(34,37);(24,27,29,25)(26,32,33,39)(28,31,38,36)(30,37,35,34)

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, 2010);