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D₃×#482 #81370

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

Splittings

Subgroups

468 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 19 points:

(1,3,4,7)(2,6,5,8)(9,11,12,15)(10,14,13,16)(17,18,19);(2,5)(6,8)(9,10,12,13)(11,14,15,16);(1,2)(3,6)(4,5)(7,8)(10,13)(11,14)(15,16);(18,19)

Conjugacy classes & character table

57 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 13946);