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D₃×#478 #81164

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

Splittings

Subgroups

448 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

(10,14)(12,16)(13,15)(17,18,19);(1,3,4,8)(2,5,6,7)(10,13)(14,15);(1,2,4,6)(3,7,8,5)(9,10,11,13)(12,14,16,15);(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, 13740);