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. 2007 Dec 4;64(Pt 1):99–107. doi: 10.1107/S090744490705531X

Table 1. Subgroups of P222.

For each subgroup, the symmetry operators are specified together with the operators that are elements of P222 but not of the subgroup.

Space group Operators Remaining operators
P222 (xyz), (−xy, −z), (x, −y, −z), (−x, −yz) None
P211 (xyz), (x, −y, −z) (−xy, −z), (−x, −yz)
P121 (xyz), (−xy, −z) (x, −y, −z), (−x, −yz)
P112 (xyz), (−x, −yz) (−xy, −z), (x, −y, −z)
P1 (xyz) (−xy, −z), (x, −y, −z), (−x, −yz)