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M₁₆×Dic₇ #89889

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

142 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 19 points:

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

Conjugacy classes & character table

100 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(448, 651);