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C₁₉×#2765 #14560622

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

392 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)(20,21,23,24)(22,25,26,27)(28,29)(30,34)(31,32)(33,35)(36,37)(38,43)(39,40)(41,42);(21,24)(22,26)(29,32)(33,34)(36,38,41,39)(37,40,42,43);(20,21)(22,25)(23,24)(26,27)(28,30)(29,33)(31,35)(32,34)(36,39,41,38)(37,40,42,43);(20,22)(21,25)(23,26)(24,27)(28,29)(30,33)(31,32)(34,35)(36,40)(37,38)(39,42)(41,43)

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, 1497);