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

 * Chiral dodecagonal symmetry (maximal)
 * Hexagonal symmetry (maximal)
 * Chiral hexagonal symmetry
 * Square symmetry (maximal)
 * Chiral square symmetry
 * Triangular symmetry
 * Chiral triangular symmetry
 * Rectangular symmetry
 * Inversion symmetry
 * Reflection symmetry
 * Identity symmetry

Convex polytopes with I2(12) symmetry

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