\letter A Acknowledgements, \indexit{11} An interactive version of the algorithm, \indexit{10} `AutomorphismGroup', 4 `AutomorphismGroupPGroup', 6 \letter C `CHOP_MULT', 9 `ConvertHybridAutGroup', 6 \letter I `InfoAutGrp', 4 \letter N `NICE_STAB', 9 \letter O Outline of the algorithm, \indexit{8} \letter S Searching for a small generating set, \indexit{9} `SetInfoLevel', 4 Stabilisers in matrix groups, \indexit{9} \letter T The initialisation step, \indexit{8}