C autpgrp.tex 1. Introduction C method.tex 2. The automorphism group method F 2.0. AutomorphismGroup I 2.0. SetInfoLevel F 2.0. InfoAutGrp C underl.tex 3. The underlying function F 3.0. AutomorphismGroupPGroup F 3.0. ConvertHybridAutGroup C influen.tex 4. Influencing the algorithm S 4.1. Outline of the algorithm S 4.2. The initialisation step S 4.3. Stabilisers in matrix groups F 4.3. CHOP_MULT S 4.4. Searching for a small generating set F 4.4. NICE_STAB S 4.5. An interactive version of the algorithm S 4.6. Acknowledgements