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Figure 5
Symmetry elements of a space group G of type P222 with the unit cell shown in (001) projection (black). Depending on whether the metric of G is general or specialized, the Euclidean normalizer is of type Pmmm, P4/mmm or Pm[\bar{3}]m, with translations halved along the three axes. The unit cell common to these three Euclidean normalizers is shown in red. The symmetry elements of NE(G) = Pmmm are also shown in red. The extension to the other two normalizers is obvious.

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