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A computer generation of all the non-equivalent superspace groups for one-dimensionally modulated structures has been performed. Comparison of this result with the previous list by de Wolff, Janssen & Janner [Acta Cryst. (1981), A37, 625-636] shows that three superspace groups in this list are equivalent to others and that six groups had been overlooked. The new list contains 775 (3 + 1)-dimensional superspace groups. Some ambiguous points in the notation of the superspace groups and the selection of the wave vector are discussed.
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