Chiral hexagonal prismatic symmetry

Chiral hexagonal prismatic symmetry
Rank	3
Space	Spherical
Order	12

Chiral hexagonal prismatic symmetry, also known as kihippic symmetry and notated as (G₂×A₁)+, is a 3D spherical symmetry group. It is the symmetry group of the hexagonal gyroprism.

Subgroups

• Chiral hexagonal pyramidal symmetry
• Chiral triangular prismatic symmetry
• Chiral triangular pyramidal symmetry
• Chiral digonal prismatic symmetry
• Chiral digonal pyramidal symmetry
• Identity symmetry (3D)

Convex polytopes with (G₂×A₁)+ symmetry

• Hexagonal prism (isogonal)/Hexagonal tegum (isotopic)
• Hexagonal gyroprism (isogonal)/Hexagonal gyrotegum (isotopic)