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C₁₉×#3108 #14560965

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

390 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)(22,25)(23,24)(26,27)(28,29)(30,36)(31,33)(32,40)(34,38)(35,39)(37,43)(41,42);(21,24)(25,27)(29,33)(34,42)(35,40)(36,43);(28,30,31,37)(29,34,33,42)(32,41,39,38)(35,43,40,36);(20,22,23,26)(21,25,24,27)

Conjugacy classes & character table

722 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1840);