Another irreducible 3-dimensional finite reflective group is octahedral symmetry, [4,3], order 48, . The reflection generators matrices are R 0, R 1, R 2. R 0 =R 1 =R 2 =(R 0 ×R 1) =(R 1 ×R 2) =(R 0 ×R 2) =Identity. Chiral octahedral symmetry, [4,3], () is generated by 2 of 3 rotations: S 0,1, S 1,2, and S 0,2. Pyritohedral symmetry [4,3 ], () is generated by reflection R 0 and rotation S 1,2. A 6-fold rotoreflection is generated by V 0,1,2, the product of all 3 reflections.