Editing Cubic crystal system (section)

==Crystal classes==
{{further information|Crystallographic point group}}
The ''isometric crystal system'' class names, point groups (in [[Schoenflies notation|Schönflies notation]], [[Hermann–Mauguin notation]], [[orbifold]], and [[Coxeter notation]]), type, examples, international tables for crystallography space group number,<ref name="ITC">{{cite book |title=International Tables for Crystallography |doi=10.1107/97809553602060000001 |isbn=978-1-4020-4969-9 |editor-first=E. |editor-last=Prince |year=2006 |s2cid=146060934 }}</ref> and [[space group]]s are listed in the table below. There are a total 36 cubic space groups.

{| class=wikitable
|-
! rowspan=2| No.
! colspan=5| Point group
! rowspan=2| Type
! rowspan=2| Example
! colspan=3| [[Space group]]s
|- align=center
! Name<ref name=Webmin>[http://webmineral.com/crystall.shtml ''Crystallography and Minerals Arranged by Crystal Form''], Webmineral</ref>
! [[Schoenflies notation|Schön.]]
! [[Hermann–Mauguin notation|Intl]]
! [[Orbifold|Orb.]]
! [[Coxeter notation|Cox.]]
! Primitive
! Face-centered
! Body-centered
|- align=center
! <small>195–197</small>
| rowspan=2| Tetartoidal
| rowspan=2| [[Tetrahedral symmetry#Chiral tetrahedral symmetry|T]]
| rowspan=2| 23
| rowspan=2| 332
| rowspan=2| [3,3]<sup>+</sup>
| rowspan=2| [[Chirality (chemistry)|enantiomorphic]]
| rowspan=2| [[Ullmannite]], [[Sodium chlorate]]
| P23
| F23
| I23
|- align=center
! <small>198–199</small>
| [[Ullmannite|P2<sub>1</sub>3]]
|
| I2<sub>1</sub>3
|-  bgcolor=#f4f4f4 align=center
! <small>200–204</small>
| rowspan=2| Diploidal
| rowspan=2| [[Tetrahedral symmetry#Pyritohedral symmetry|T<sub>h</sub>]]
| rowspan=2| 2/m{{overline|3}}<br />(m{{overline|3}})
| rowspan=2| 3*2
| rowspan=2| [3<sup>+</sup>,4]
| rowspan=2| [[Centrosymmetry|centrosymmetric]]
| rowspan=2| [[Pyrite]]
| [[#Caesium chloride structure|Pm{{overline|3}}]], Pn{{overline|3}}
| Fm{{overline|3}}, Fd{{overline|3}}
| I{{overline|3}}
|-  bgcolor=#f4f4f4 align=center
! <small>205–206</small>
| [[Pyrite|Pa{{overline|3}}]]
| 
| Ia{{overline|3}}
|-  align=center
! <small>207–211</small>
| rowspan=2| Gyroidal
| rowspan=2| [[Octahedral symmetry|O]]
| rowspan=2| 432
| rowspan=2| 432
| rowspan=2| [3,4]<sup>+</sup>
| rowspan=2| [[Chirality (chemistry)|enantiomorphic]]
| rowspan=2| [[Petzite]]
| [[Petzite|P432]], P4<sub>2</sub>32
| F432, F4<sub>1</sub>32
| I432
|-  align=center
! <small>212–214</small>
| P4<sub>3</sub>32, P4<sub>1</sub>32
|
| I4<sub>1</sub>32
|-  bgcolor=#f4f4f4 align=center
! <small>215–217</small>
| rowspan=2| Hextetrahedral
| rowspan=2| [[Tetrahedral symmetry#Achiral tetrahedral symmetry|T<sub>d</sub>]]
| rowspan=2| {{overline|4}}3m
| rowspan=2| *332
| rowspan=2| [3,3]
| rowspan=2|
| rowspan=2| [[Sphalerite]]
| P{{overline|4}}3m
| [[#Zincblende structure|F{{overline|4}}3m]]
| I{{overline|4}}3m
|-  bgcolor=#f4f4f4 align=center
! <small>218–220</small>
| P{{overline|4}}3n
| F{{overline|4}}3c
| I{{overline|4}}3d
|- align=center
! <small>221–230</small>
| Hexoctahedral{{anchor|hexoctahedral_link}}
| [[Octahedral symmetry|O<sub>h</sub>]]
| 4/m{{overline|3}}2/m<br />(m{{overline|3}}m)
| *432
| [3,4]
| [[Centrosymmetry|centrosymmetric]]
| [[Galena]], [[Halite]]
| align=left| Pm{{overline|3}}m, Pn{{overline|3}}n, [[#Weaire–Phelan structure|Pm{{overline|3}}n]], Pn{{overline|3}}m
| [[#Rock-salt structure|Fm{{overline|3}}m]], Fm{{overline|3}}c, Fd{{overline|3}}m, Fd{{overline|3}}c
| Im{{overline|3}}m, Ia{{overline|3}}d
|}

Other terms for hexoctahedral are: normal class, [[wiktionary:holohedral|holohedral]], ditesseral central class, [[galena]] type.