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C₁₉×#3210 #14561067

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

394 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(20,21)(22,26)(23,25)(24,27)(28,29,33,36)(30,37,39,42)(31,35,32,40)(34,41,43,38);(20,22,23,27)(21,24,25,26);(22,27)(24,26)(28,30)(29,34)(31,38)(32,41)(33,39)(35,42)(36,43)(37,40);(21,25)(24,26)(28,31,33,32)(29,35,36,40)(30,38,39,41)(34,42,43,37)

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, 1942);