Finite Group Databasebeta

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D₃×#376 #73411

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

840 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

120 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 5987);