One of the set of symbols C_i, C_s, C_1, C_2, C_3, C_4, C_5, C_6, C_7, C_8, C_(2h), C_(3h), C_(4h), C_(5h), C_(6h), C_(2v), C_(3v), C_(4v), C_(5v), C_(6v), C_(∞v), D_2, D_3, D_4, D_5, D_6, D_(2h), D_(3h), D_(4h), D_(5h), D_(6h), D_(8h), D_(∞h), D_(2d), D_(3d), D_(4d), D_(5d), D_(6d), I, I_h, O, O_h, S_4, S_6, S_8, T, T_d, and T_h used to identify point groups. Cotton, gives a table showing the translations between Schönflies symbols and Hermann-Mauguin symbols. Some of the Schönflies symbols denote different sets of symmetry operations but correspond to the same abstract group and so have the same character table.

character table | Hermann-Mauguin symbol | point groups | space groups | symmetry operation