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 | (x, y, z), (−x, y, −z), (x, −y, −z), (−x, −y, z) | None |
| P211 | (x, y, z), (x, −y, −z) | (−x, y, −z), (−x, −y, z) |
| P121 | (x, y, z), (−x, y, −z) | (x, −y, −z), (−x, −y, z) |
| P112 | (x, y, z), (−x, −y, z) | (−x, y, −z), (x, −y, −z) |
| P1 | (x, y, z) | (−x, y, −z), (x, −y, −z), (−x, −y, z) |