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D₃×#559 #87062

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

Splittings

Subgroups

1240 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 19 points:

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

Conjugacy classes & character table

75 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 19638);