Pyritohedral symmetry

A3+×2 is a 3D spherical Coxeter group. It is the symmetry group of the pyritohedral icosahedron.

Subgroups

 * A3+
 * G2+×A1/2
 * A2+×I
 * A1×A1×A1
 * A1×A1×A1+
 * A1×A1×I
 * A1×A1+×A1
 * A1×A1+×I
 * A1×A1+×A1/2
 * A1×I×I
 * I×I×I

Convex polytopes with A3+×2 symmetry

 * Cube (regular)/Octahedron (regular)
 * Cuboctahedron (isogonal)/Rhombic dodecahedron (isotopic)
 * Truncated cube (isogonal)/Triakis octahedron (isotopic)
 * Pyritohedral icosahedron (isogonal)/Pyritohedron (isotopic)
 * Pyritosnub cube (isogonal)/Tetragonal icositetrahedron (isotopic)