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C₁₉×#3316 #14561173

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

388 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)(28,29,32,35)(30,36,37,43)(31,39,41,34)(33,40,42,38);(20,22)(21,24)(23,27)(25,26)(30,37)(33,42)(36,43)(38,40);(28,30,32,37)(29,33,35,42)(31,40,41,38)(34,43,39,36);(22,27)(24,26)

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, 2048);