Conclusion

We have shown that the only non-abelian simple group of order between 200 and 400 has order equal to 360. This is a fairly trivial result in the face of the Holder Program. But it shows how much progress can be made with some basic theorems. Some of the orders took a little work, not necessarily falling out immediately. But overall, the amount of analysis required was small provided a basic understanding of group theory. The next step would be to classify all groups of order between 0 and 1000. Then with more experience our understanding of these groups and their properties will be increased. This is a fitting goal for this classification. The deeper understanding of finite groups.