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

• Propentagonal antiprismatic symmetry (maximal)
• Chiral pentagonal prismatic symmetry (maximal)
• Pentagonal pyramidal symmetry (maximal)
• Chiral pentagonal pyramidal symmetry
• Prodigonal prismatic symmetry (maximal)
• Chiral digonal pyramidal symmetry
• Inversoin symmetry
• Reflection symmetry
• Identity symmetry

Convex polytopes with (G₂×A₁)/2 symmetry

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