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C₁₉×#2792 #14560649

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

384 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)(21,24)(22,26)(29,30)(33,34)(36,37,40,42)(38,39,43,41);(21,24)(25,27)(28,29,32,30)(31,34,35,33)(36,38,40,43)(37,41,42,39);(20,21,23,24)(22,25,26,27)(28,30,32,29)(31,34,35,33);(20,22,23,26)(21,25,24,27)(28,31)(29,33)(30,34)(32,35)(36,39,40,41)(37,38,42,43)

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, 1524);