Pentagonal antiprismatic symmetry

Pentagonal antiprismatic symmetry
Rank	3
Space	Spherical
Order	20

Pentagonal antiprismatic symmetry, also known as pappic symmetry and notated (I₂(10)×A₁)/2, is a 3D spherical symmetry group. It is the symmetry group of the pentagonal antiprism and is a subgroup of icosahedral symmetry.

Subgroups

• (I₂(10)+×A₁)/2 (maximal)
• (H₂×A₁)+ (maximal)
• H₂×I (maximal)
• H₂+×I
• K₂+×A₁ (maximal)
• K₂+×I
• ±(I×I×I)
• A₁×I×I
• I×I×I

Convex polytopes with (G₂×A₁)/2 symmetry

• Pentagonal antiprism (isogonal)/Pentagonal antitegum (isotopic)
• Dipentagonal trapezoprism (isogonal)/Pentagonal scalenohedron (isotopic)