The space groups in two dimensions are called wallpaper groups. In three dimensions, the space groups are the symmetry groups possible in a crystal lattice with the translation symmetry element. There are 230 space groups in R^3, although 11 are mirror images of each other. They are listed by Hermann-Mauguin symbol in Cotton.

crystallographic point groups | Hermann-Mauguin symbol | lattice groups | point groups | wallpaper groups