Crystallographic point groups

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Crystallographic point groups From Wikipedia: "In crystallography, a crystallographic point group is a set of symmetry operations, like rotations or reflections, that leave a central point fixed while moving other directions and faces of the crystal to the positions of features of the same kind. For a periodic crystal (as opposed to a quasicrystal), the group must also be consistent with maintenance of the three-dimensional translational symmetry that defines crystallinity. The macroscopic properties of a crystal would look exactly the same before and after any of the operations in its point group. In the classification of crystals, each point group is also known as a crystal class." https://en.wikipedia.org/wiki/Crystallographic_point_group This collection contains ALL 32 Crystallographic point groups.