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C₁₉×#3276 #14561133

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

472 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)(26,32,35,39)(28,37,38,31)(30,33,36,34);(24,26,29,35)(25,30,27,36)(28,33,38,34)(31,39,37,32);(21,23)(24,27,29,25)(26,30,35,36)(28,37,38,31)(32,33,39,34);(26,33)(28,38)(30,39)(31,37)(32,36)(34,35)

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, 2008);