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C₁₉×#3271 #14561128

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

488 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)(25,30)(26,28)(31,38)(32,36)(33,37)(34,39);(24,25,29,32)(26,30,28,36)(27,34,35,38)(31,37,39,33);(21,23)(24,26,29,28)(25,30,32,36)(27,33,35,37)(31,38,39,34);(24,27,29,35)(25,31,32,39)(26,33,28,37)(30,38,36,34)

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, 2003);