Classification of Cwatsets Through Order 23
Ben Goodwin, Dennis K. J. Lin · Rose-Hulman Scholar (Rose–Hulman Institute of Technology) · 2000
A cwatset of order n can be represented by a transitive subgroup of Sn. Previous work has shown that each conjugacy class of representation groups corresponds to an isomorphism class of cwatsets. We present a technique for determining whether a particular transitive subgroup of Sn can appear as the representation group for a cwatset of order n. Using this method, we provide a full classification of cwatset isomorphism classes through order 23.