It is worth noting that, in the configuration space, the configurations at these zero-dimensional regions (points) exhibit the highest generic symmetry group orders (Td: group order 24; D4h: group order 12, Dh: group order ), configurations at the 1-dimensional regions (line segments) exhibit lower generic symmetry group orders (D2h: group order 8; D2d: group order 8), and configurations in the 2-dimensional region still lower generic symmetry group order (the lowest for the configuration space D2: group order 4).