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

 * I2(8)+ (maximal)
 * B2 (maximal)
 * B2+
 * K2 (maximal)
 * K2+
 * A1×I
 * I×I

Convex polytopes with G2 symmetry

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