Dodecagonal symmetry

Dodecagonal symmetry, also known as doggic symmetry and notated as I2(12), is a 2D spherical Coxeter group. It is the symmetry group of the dodecagon, with 12 rotation and 12 reflection elements.

Subgroups

 * I2(12)+ (maximal)
 * G2 (maximal)
 * G2+
 * B2 (maximal)
 * B2+
 * A2
 * A2+
 * K2
 * K2+
 * A1×I
 * I×I

Convex polytopes with G2 symmetry

 * Dodecagon (regular)
 * Didodecagon (isogonal)/Dodecambus (isotopic)