Are you doing this yourself so far instead of letting a program do it? I had a program for the Sunes but I don't know whether I still have it or how useful it would be. Maybe KSolve or GAP can help?
We found all these by hand since the number of algs isn't that large and I trust myself to come up with nicer things to execute than a computer
However, something with a larger number of algs would require a different approach.
KSolve is a good shout - I need to learn how to use it anyway for a bunch of other things. I've never written a solver before, but it's a possibility if I'm feeling particularly masochistic.
An alternative is to set up a collaborative document (GoogleDox? MoonEdit?) that a group of us could edit and gradually fill in each case. We would need quite a large number of contributors to get it finished in any sort of reasonable time period though. One advantage of this technique is that the algorithms produced this way are more likely to be ergonomically friendly than their computer generated counterparts.