Square antiprismatic symmetry

Square antiprismatic symmetry, also known as squappic symmetry and notated (I₂(8)×A₁)/2, is a 3D spherical symmetry group. It is the symmetry group of the square antiprism.

Square antiprismatic symmetry
Rank	3
Space	Spherical
Order	16

Subgroups

• (I₂(8)+×A₁)/2 (maximal)
• (B₂×A₁)+ (maximal)
• B₂×I (maximal)
• B₂+×I
• K₂+×I
• A₁×I×I
• I×I×I

Convex polytopes with (I₂(8)×A₁)/2 symmetry

• Square antiprism (isogonal)/Square antitegum (isotopic)
• Ditetragonal trapezoprism (isogonal)/Square scalenohedron (isotopic)