The symmetry library implements a few basic ideas in group theory. Namely, it provides a character table for a given point group. Currently it does not support the cubic point groups (e.g. or ). The only classes intended for public consumption are the CharacterTable and PointGroup classes. PointGroup stores the Schoenflies symbol for a point group, and can generate a CharacterTable on the fly. A CharacterTable contains IrreducibleRepresentation's and SymmetryOperation's.