Triangular antiprismatic symmetry

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.

Triangular antiprismatic symmetry
Rank	3
Space	Spherical
Order	12

Subgroups

• Protriangular antiprismatic symmetry (maximal)
• Chiral triangular prismatic symmetry (maximal)
• Triangular pyramidal 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)/2 symmetry

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