Abstract
A new method for finding generators for the normalizer of an n-dimensional crystallographic (arithmetic) point group is described. First a set of generators for the centralizer is determined, whereafter the completeness of the found set is checked. After evaluating all inner automorphisms, representatives of the outer automorphisms, if existent, are determined. A complete generating set for the normalizer of some point groups for n=5,6 is determined with use of an algorithm, based upon this method.