That first example of the X-ray photo illustrates a type of
crystallographic symmetry known as “point group” symmetry in which all the symmetry elements are
non-translational operations (more on that later). The unit cell example illustrates
“space group” symmetry, in which translational symmetry operations may also be present (in addition to
non-translational elements).
Point group symmetry desribes the symmetries of the shapes of unit cells, the distribution of intensities
in an X-ray photo, or of a Patterson map (more on that later also).
Space group symmetry describes the symmetry of the distribution of molecules in a unit cell or of a Fourier
electron density map.