This is a reflection of a crystal's symmetry and physical quantities. All irreducible representations (IRs) and irreducible co-representations (ICRS) of the 230 crystallographic space groups are presented. The inclusion of the systematic decomposition of dimension induced space group representations into their irreducible constituents is particularly valuable as they have never been published before to this extent. Additional information about representations of double groups, co-representations, representations induced by local point groups and complete irreducible representations is also given.