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D₃×#462 #80474

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

Splittings

Subgroups

480 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 13050);