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C₁₉×#3322 #14561179

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

414 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)(20,21,23,25)(22,26,27,24)(28,29)(30,33)(31,34)(32,35)(36,39)(37,41)(38,42)(40,43);(20,22)(21,24)(23,27)(25,26)(28,30)(29,33)(31,38)(32,37)(34,42)(35,41)(36,40)(39,43);(29,34)(30,37)(31,39)(33,40)(35,36)(41,42);(22,27)(24,26)(29,35)(33,41)(34,36)(40,42)

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, 2054);