List of finite spherical symmetry groups

Finite spherical symmetry groups are groups of rotations (and potentially reflections) that preserve the structure of a finite set of points on a sphere. These groups are closely related to the symmetries of polyhedra and can be understood in the context of group theory and geometry. Here are some of the main finite spherical symmetry groups: 1. **Cyclic Groups (C_n)**: These groups represent the symmetry of an n-sided regular polygon and have order n.