Triangular antiprismatic symmetry

Triangular antiprismatic symmetry
Rank	3
Space	Spherical
Order	12

Triangular antiprismatic symmetry, also known as trappic symmetry and notated (G₂×A₁)/2, is a 3D spherical symmetry group. It is the symmetry group of the triangular antiprism and is a subgroup of octahedral and icosahedral symmetry.

Subgroups

• (G₂+×A₁)/2 (maximal)
• (A₂×A₁)+ (maximal)
• A₂×I (maximal)
• A₂+×I
• K₂+×A₁ (maximal)
• K₂+×I
• ±(I×I×I)
• A₁×I×I
• I×I×I

Convex polytopes with (G₂×A₁)/2 symmetry

• Triangular antiprism (isogonal)/Triangular antitegum (isotopic)
• Ditrigonal trapezoprism (isogonal)/Triangular scalenohedron (isotopic)