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C₁₉×#3554 #14561411

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1022 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(23,24)(25,27)(29,33)(30,36)(31,39)(41,43);(21,24)(25,26)(28,29,32,33)(30,37,36,34)(31,35,39,40)(38,43,42,41);(28,30,32,36)(29,34,33,37)(31,38,39,42)(35,41,40,43);(20,21)(22,25)(23,24)(26,27)(28,29)(30,34)(31,35)(32,33)(36,37)(38,41)(39,40)(42,43);(20,22,23,27)(21,25,24,26)(28,31,32,39)(29,35,33,40)(30,38,36,42)(34,41,37,43)

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, 2286);