chapter Ch 1 A Historical Review of Computational Group Theory -- chapter Ch 2 Background Material -- chapter Ch 3 Representing Groups on a Computer -- chapter Ch 4 Computational in Finite Permutation Group -- chapter Ch 5 Coset Enumeration -- chapter Ch 6 Presentations of Given Groups -- chapter Ch 7 Representation Theory, Cohomology, and Characters -- chapter Ch 8 Computation with Polycyclic Groups -- chapter Ch 9 Computing Quotients of Finitely Presented Group -- chapter Ch 10 Advanced Computations in Finite Groups -- chapter Ch 11 Libraries and Databases -- chapter Ch 12 Rewriting Systems and the Knuth-Bendix Completion Process -- chapter Ch 13 Finite State Automata and Automatic Groups.