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C₁₉×#2947 #14560804

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

470 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)(20,21,23,22)(25,29)(27,34)(30,36)(31,35)(33,38)(37,39);(24,25,28,31)(26,30,32,37)(27,35,34,29)(33,39,38,36);(20,22,23,21)(24,26)(25,30)(27,33)(28,32)(29,36)(31,37)(34,38)(35,39);(26,32)(30,37)(33,38)(36,39)

Conjugacy classes & character table

836 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1679);