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C₁₉×#3212 #14561069

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

400 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)(22,26)(23,25)(24,27)(28,29)(30,38)(31,37)(32,34)(33,36)(35,40)(39,43)(41,42);(20,22,23,27)(21,24,25,26)(29,34)(30,39)(36,37)(40,41);(22,27)(24,26)(28,30)(29,35)(31,40)(32,39)(33,41)(34,42)(36,38)(37,43);(21,25)(24,26)(28,31,32,33)(29,36,34,37)(30,40,39,41)(35,38,42,43)

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, 1944);