Prosquare prismatic symmetry

Prosquare prismatic symmetry
Rank	3
Space	Spherical
Order	8

Prosquare prismatic symmetry, also known as prosquippic symmetry and notated B₂+×A₁ or BC₂+×A₁, is a 3D spherical symmetry group. It is equivalent of the symmetry of a square prism if the bases are seen as having chiral rather than full square symmetry. The prism of any polygon with chiral square symmetry will have this as its symmetry group. It is a subgroup of octahedral symmetry.

Subgroups

• Chiral square pyramidal symmetry (maximal)
• Prodigonal prismatic symmetry (maximal)
• Prodigonal antiprismatic symmetry (maximal)
• Chiral digonal pyramidal symmetry
• Inversion symmetry
• Reflection symmetry
• Identity symmetry

Convex polytopes with B₂+×A₁ symmetry

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