# Space group

The **space group**. In *E*^{2}, the symmetry group of a two-dimensional crystal pattern is called its **plane group**. In *E*^{1}, the symmetry group of a one-dimensional crystal pattern is called its **line group**.

To each crystal pattern belongs an infinite set of translations **T**, which are symmetry operations of that pattern. The set of all **T** **translation subgroup** T of the space group G of the crystal pattern. T is an Abelian group.

### See also

- Chapter 8 of the
*International Tables for Crystallography, Volume A*