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D₃×#537 #86378

• supersolvable
• metabelian
• solvable
• monomial
• stem
• rational
• ambivalent

Aliases

Splittings

Subgroups

1640 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 15 points:

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

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, 18954);