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C₂×D₁₃⋊C₈ #88232

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

76 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 23 points:

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

Conjugacy classes & character table

56 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(416, 199);