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C₁₉×#2578 #14560435

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

468 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)(20,21,24,23)(22,26,27,25)(28,29)(30,34)(31,35)(32,33)(36,37)(38,42)(39,41)(40,43);(22,27)(25,26)(29,33)(30,35)(36,37,39,41)(38,40,43,42);(20,22)(21,25)(23,26)(24,27)(28,30)(29,31)(32,35)(33,34)(36,37)(38,40)(39,41)(42,43);(20,23,24,21)(22,26,27,25)(28,31)(29,30)(32,34)(33,35)(36,38,39,43)(37,40,41,42)

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, 1310);