Chiral cubic symmetry

BC3+ is a 3D spherical Coxeter group. It is the symmetry group of the snub cube.

Subgroups

 * A3+
 * BC2×A1+
 * BC2+×I
 * A2×A1+
 * A2+×I
 * A1×A1×A1+
 * A1×A1+×A1+
 * I×I×I

Convex polytopes with BC3 symmetry

 * Cube (regular)/Octahedron (regular)
 * Cuboctahedron (isogonal)/Rhombic dodecahedron (isotopic)
 * Truncated cube (isogonal)/Triakis octahedron (isotopic)
 * Truncated octahedron (isogonal)/Tetrakis hexahedron (isotopic)
 * Small rhombicuboctahedron (isogonal)/Deltoidal icositetrahedron (isotopic)
 * Snub cube (isogonal)/Pentagonal icositetrahedron (isotopic)