Editing Crystal system (section)

=== Comparison ===
Five of the crystal systems are essentially the same as five of the lattice systems. The hexagonal and trigonal crystal systems differ from the hexagonal and rhombohedral lattice systems. These are combined into the hexagonal crystal family.

The relation between three-dimensional crystal families, crystal systems and lattice systems is shown in the following table:
{|class="wikitable" style="margin: 1em auto; text-align: center;"
|-
! Crystal family
! Crystal system
! [[Lattice system]]
! Required symmetries of the point group
! [[Crystallographic point group|Point groups]]
! [[Space group]]s
! [[Bravais lattice]]s
|-
! [[Triclinic crystal system|Triclinic]]
| Triclinic
| Triclinic
| None
| 2
| 2
| 1
|-
! [[Monoclinic crystal system|Monoclinic]]
| Monoclinic
| Monoclinic
| 1 twofold [[rotational symmetry|axis of rotation]] or 1 [[reflection symmetry|mirror plane]]
| 3
| 13
| 2
|-
! [[Orthorhombic crystal system|Orthorhombic]]
| Orthorhombic
| Orthorhombic
| 3 twofold axes of rotation or 1 twofold axis of rotation and 2 mirror planes
| 3
| 59
| 4
|-
! [[Tetragonal crystal system|Tetragonal]]
| Tetragonal
| Tetragonal
| 1 fourfold axis of rotation
| 7
| 68
| 2
|-
! rowspan=3| [[Hexagonal crystal family|Hexagonal]]
| Trigonal
| [[Rhombohedron|Rhombohedral]]
| 1 threefold axis of rotation
| 5
| 7
| 1
|-
|Trigonal
| Hexagonal
|1 threefold axis of rotation
|5
| 18
| 1
|-
| Hexagonal
|Hexagonal
| 1 sixfold axis of rotation
| 7
| 27
|1
|-
! [[cubic crystal system|Cubic]]
| Cubic
| Cubic
| 4 threefold axes of rotation
| 5
| 36
| 3
|- bgcolor=#e0e0e0
| 6
| 7
| 7
| '''Total'''
| 32
| 230
| 14
|}

:''Note: there is no "trigonal" lattice system. To avoid confusion of terminology, the term "trigonal lattice" is not used.''