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C₁₉×#3311 #14561168

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

402 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)(30,34)(31,38)(32,41)(33,36)(35,37)(39,43)(40,42);(20,22)(21,24)(23,27)(25,26)(28,30,33,32)(29,34,36,41)(31,39,40,37)(35,38,43,42);(28,31)(29,35)(30,37)(32,39)(33,40)(34,42)(36,43)(38,41);(22,27)(24,26)(28,30,33,32)(29,34,36,41)(31,37,40,39)(35,42,43,38)

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, 2043);