The lattice complex is to the space group what the site set is to the point group - an assemblage of symmetry-related equivalent points. The symbolism introduced by Carl Hermann has been revised and extended. A total of 402 lattice complexes are derived from 67 Weissenberg complexes. The Tables list site sets and lattice complexes in standard and alternate representations. They answer the following questions: What are the co-ordinates of the points in a given lattice complex? In which space groups can a given lattice complex occur? What are the lattice complexes that can occur in a given space group? The higher the symmetry of the crystal structures is, the more useful the lattice complex approach should be on the road to the ultimate goal of their classification.
Keywords: Crystallography; crystal point groups; crystal structure; lattice complexes; site sets; space groups.