Prohexagonal prismatic symmetry

Prohexagonal prismatic symmetry, also known as prohippic symmetry and notated as G₂+×A₁, is a 3D spherical symmetry group. It is equivalent to the symmetry of a hexagonal prism if the bases are seen as having chiral hexagonal rather than full hexagonal symmetry.

Prohexagonal prismatic symmetry
Rank	3
Space	Spherical
Order	12

Subgroups

• Chiral hexagonal pyramidal symmetry (maximal)
• Protriangular prismatic symmetry (maximal)
• Protriangular antiprismatic symmetry (maximal)
• Chiral triangular pyramidal symmetry
• Prodigonal prismatic symmetry (maximal)
• Chiral digonal pyramidal symmetry
• Inversion symmetry
• Reflection symmetry
• Identity symmetry

Convex polytopes with G₂+×A₁ symmetry

• Hexagonal prism (isogonal)/Hexagonal tegum (isotopic)