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D₃×#467 #80757

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

Splittings

Subgroups

512 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 23 points:

(2,4)(21,22,23);(5,7,14,18,9,16,8,15)(6,10,17,20,12,19,11,13);(1,2)(3,4)(5,6,9,12)(7,13,16,20)(8,17,14,11)(10,18,19,15);(22,23)

Conjugacy classes & character table

66 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 13333);