Machine derived contents note: Preface to the Second Edition. -- How to Use the Programmes. -- Programme 1: Symmetry Elements and Operations. -- Programme 2: Point Groups. -- Programme 3: Non-degenerate Representations. -- Programme 4: Matrices. -- Programme 5: Degenerate Representations. -- Programme 6: Applications to Chemical Bonding. -- Programme 7: Applications to Molecular Vibration. -- Programme 8: Linear Combinations. -- Bibliography. -- Mathematical Data for use with Character Tables. -- Character Tables for Chemically Important Symmetry Groups