Crystal Classes
The isometric crystal system class names, examples, Schönflies notation, Hermann-Mauguin notation, point groups, International Tables for Crystallography space group number, orbifold, type, and space groups are listed in the table below. There are a total 36 cubic space groups.
| # | Point group | Example | Type | Space groups | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Class | Schönflies | Intl | Orbifold | Coxeter | |||||||||||||
| Tetartoidal | T | 23 | 332 | + | Ullmannite | enantiomorphic | P23 | F23 | I23 | P213 | I213 | ||||||
| Diploidal | Th | 2/m3 (m3) |
3*2 | Pyrite | centrosymmetric | Pm3 | Pn3 | Fm3 | Fd3 | I3 | Pa3 | Ia3 | |||||
| Gyroidal | O | 432 | 432 | + | Petzite | enantiomorphic | P432 | P4232 | F432 | F4132 | I432 | P4332 | P4132 | I4132 | |||
| Hextetrahedral | Td | 43m | *332 | Sphalerite | P43m | F43m | I43m | P43n | F43c | I43d | |||||||
| Hexoctahedral | Oh | 4/m32/m (m3m) |
*432 | Galena | centrosymmetric | Pm3m | Pn3n | Pm3n | Pn3m | Fm3m | Fm3c | Fd3m | Fd3c | Im3m | Ia3d | ||
Other terms for hexoctahedral are: normal class, holohedral, ditesseral central class, galena type.
Read more about this topic: Cubic Crystal System
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