Cubic Crystal System - Crystal Classes

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.

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