What is point group of symmetry?

A point group of symmetry is a set of symmetry operations that leave at least one point unchanged in a molecular or geometrical structure. These operations include rotations, reflections, and inversions that can be applied without altering the overall shape of the object. Point groups are classified based on their symmetry elements, such as axes of rotation and mirror planes, and are essential in understanding molecular symmetry and its implications for physical and chemical properties. Common examples include the cyclic groups (Cn) and the dihedral groups (Dn).