Octagonal symmetry

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)