In a few places you use 'MinimalGeneratingSet'. I think (but I may be wrong!) that you could have used 'SmallGeneratingSet'. MinimalGeneratingSet can be very slow, for some groups it's almost impossible to figure out, while SmallGeneratingSet gives you something reasonably small, but in a much faster amount of time.
In a few places you use 'MinimalGeneratingSet'. I think (but I may be wrong!) that you could have used 'SmallGeneratingSet'. MinimalGeneratingSet can be very slow, for some groups it's almost impossible to figure out, while SmallGeneratingSet gives you something reasonably small, but in a much faster amount of time.