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A listing of the Euclidean normalizers for triclinic and monoclinic space groups having translation lattices with specialized metric is given. These normalizers have not been included in previous tabulations. For convenience, in the case of monoclinic space groups, only the second setting (c-axis unique) is considered and the metric of the cells is restricted within certain limits which warrant that all specialized cases and all cell choices according to International Tables for Crystallography [(1987) Dordrecht: Kluwer] are included.