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C₁₉×#3040 #14560897

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

500 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)(21,23)(24,25)(26,34)(27,33)(28,30)(29,32)(31,35)(36,39)(37,38);(20,21,22,23)(25,30)(31,38)(32,33)(34,39);(24,26)(25,31)(27,35)(28,36)(29,37)(30,38)(32,34)(33,39);(24,27,28,29)(25,32,30,33)(26,35,36,37)(31,34,38,39)

Conjugacy classes & character table

608 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1772);