| 1. | The radical subgroups represent the inverse operation to an extended symmetry operation.
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| 2. | The symmetry operation between sequential vertices is glide reflection.
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| 3. | The symmetry operations of a molecule determine the specific point group for this molecule.
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| 4. | The Bravais lattices may be considered as representing "'translational "'symmetry operations.
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| 5. | All but the two rightmost columns correspond to the symmetry operations which are invariant in the group.
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| 6. | The mental operations are the same as the symmetry operations are the same as the logical operations.
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| 7. | Since both rotations mentioned are symmetry operations, A'and B'must both be lattice points.
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| 8. | Specifically, symmetry operation column headers 2S 8 and 2S 8 3 were reversed in the older references.
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| 9. | The atom positions within the unit cell can be calculated through application of symmetry operations to the asymmetric unit.
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| 10. | Combinations of operations of the crystallographic point groups with the addition symmetry operations produce the 230 crystallographic space groups.
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