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C₁₉×#3341 #14561198

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

364 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)(20,21,24,23)(22,26,27,25)(28,29,33,36)(30,34,32,40)(31,38,39,42)(35,41,43,37);(20,22)(21,25)(23,26)(24,27)(28,30,33,32)(29,34,36,40)(31,37,39,41)(35,42,43,38);(20,23,24,21)(22,26,27,25)(28,31)(29,35)(30,37)(32,41)(33,39)(34,42)(36,43)(38,40);(22,27)(25,26)(28,30,33,32)(29,34,36,40)(31,37,39,41)(35,42,43,38)

Conjugacy classes & character table

665 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 2073);