## Categorisation of point groups by symmetry operations |

This table lists point group symmetries along with their symmetry
operations, the order of the group (i.e. the number of symmetry
operations) and common notations.
links to a correlation table, and links to tables of products of irreducible representations. The group produced by combination with inversion is listed under "x *i*". This, in the case of crystolographic point groups, is the *Laue class* which corresponds to the symmetry of reciprocal space. Isomorphic groups are also listed where
character tables are available.

Cubic | ||||||||

Tetragonal | ||||||||

Orthorhombic | ||||||||

Monoclinic | ||||||||

Triclinic | ||||||||

Operations | Order | Schönflies Symbol |
International Symbol |
Full Symmetry Symbol |
Correlation Table |
Irred. Rep. products |
x i |
Isomorph. with |

E |
1 | C_{1} |
1 | 1 | C_{i} |
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E, i |
2 | C_{i} (S_{2}) |
C_{i} |
C_{s}, C_{2} |
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Trigonal | ||||||||

Hexagonal | ||||||||

Non-Crystallographic | ||||||||

All |

- Symmetry pages index
- Categorisation by unit cell parameters
- Correlation table index
- 3D objects
- Stereographs
- A brief description of tables