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C₁₉×#2528 #14560385

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

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, 1260);