Crystallographic Schonflies notation

Table 2.9. The thirty-two crystallographic point groups in both International and Schonflies notation.

Underlines in the International notation for G show which operators are complementary ones. Alternatively, these may be identified from the classes of G H by multiplying each operator by 0 G is the ordinary crystallographic point group from which G was constructed by eq. (14.1.2) H is given first in International notation and then in Schonflies notation, in square brackets. Subscript a denotes the unit vector along [1 1 0]. 

Table 7.3 shows a few point groups of interest to molecules (and to crystals). The Schonflies notation is being replaced in the crystallographic literature by the Herrmann11-Mauguin12 or international notation. 

The point group, which is D3 in the Schonflies notation used for example in molecular spectroscopy, is called 32 in the International (or Hermann-iMauguin) notation used by crystallographers. 

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