Octagonal symmetry

Octagonal symmetry
Rank	2
Space	Spherical
Order	16
Info
Coxeter diagram
Elements
Axes	8 × A1
Related polytopes
Omnitruncate	Dioctagon

Octagonal symmetry, also known as occic symmetry and notated as I₂(8), is a 2D spherical Coxeter group. It is the symmetry group of the octagon, with 8 rotation and 8 reflection elements.

Subgroups

• Chiral octagonal symmetry (maximal)
• Square symmetry (maximal)
• Chiral square symmetry
• Rectangular symmetry
• Inversion symmetry
• Reflection symmetry
• IDentity symmetry

Convex polytopes with I₂(8) symmetry

• Octagon (regular)
• Dioctagon (isogonal)/Octambus (isotopic)