Square prismatic symmetry

Square prismatic symmetry
Rank	3
Space	Spherical
Order	16
Info
Coxeter diagram
Elements
Axes	1 × BC2×A1, 4 × K2×I
Related polytopes
Omnitruncate	Ditetragonal prism

Square prismatic symmetry, also known as squippic symmetry and notated B₂×A₁ or BC₂×A₁, is a 3D spherical Coxeter group. It is the symmetry group of the square prism and is a subgroup of octahedral symmetry.

Subgroups

• Prosquare prismatic symmetry (maximal)
• Chiral square prismatic symmetry (miaxmal)
• Square pyramidal symmetry (maximal)
• Chiral square pyramidal symmetry
• Digonal prismatic symmetry (maximal)
• Prodigonal prismatic symmetry
• Chiral digonal prismatic symmetry
• Digonal antiprismatic symmetry (maximal)
• Prodigonal antiprismatic symmetry
• Rectangular pyramidal symmetry
• Chiral digonal pyramidal symmetry
• Inversion symmetry
• Reflection symmetry
• Identity symmetry

Convex polytopes with B₂×A₁ symmetry

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