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C₁₉×#3218 #14561075

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

386 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)(30,36)(31,33)(32,40)(34,38)(35,39)(37,43)(41,42);(20,22,23,27)(21,24,25,26)(29,33)(34,42)(35,40)(36,43);(22,27)(24,26)(28,30,31,37)(29,34,33,42)(32,41,39,38)(35,43,40,36);(21,25)(24,26)(29,33)(34,42)(35,40)(36,43)

Conjugacy classes & character table

494 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1950);