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C₁₉×#2530 #14560387

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

412 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)(22,24,26,27)(28,29,31,33)(30,34,35,32)(38,42)(41,43);(20,21,23,25)(22,24,26,27)(28,30,31,35)(29,32,33,34)(36,37,40,39)(38,41,42,43);(20,21)(22,24)(23,25)(26,27)(28,30)(29,32)(31,35)(33,34)(36,38)(37,41)(39,43)(40,42);(20,22,23,26)(21,24,25,27)(28,29)(30,32)(31,33)(34,35)(36,39,40,37)(38,43,42,41)

Conjugacy classes & character table

722 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1262);