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A summary is given of some work which has been performed to identify those special points, lines, and planes of symmetry that have been omitted from published tables of irreducible representations of space groups. In order to have a complete set of all the irreducible representations of every space group, it is necessary to determine the irreducible representations for these additional wave vectors in order to supplement the existing published sets of tables. The generation of these supplementary tables is reported.

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