Impossible Discrete Symmetries
Since the overview is exhaustive, it also shows implicitly what is not possible as discrete symmetry group. For example:
- a C6 axis in one direction and a C3 in another
- a C5 axis in one direction and a C4 in another
- a C3 axis in one direction and another C3 axis in a perpendicular direction
etc.
Read more about this topic: Point Groups In Three Dimensions
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