Richard Burstein, "Enumeration of Bisch-Haagerup subfactors with small principal graph,"

Results of Bisch, Das and Ghosh imply that the planar algebra of a Bisch-Haagerup subfactor is specified by a group G (generated by two subgroups H and K) and a scalar 3-cocycle for G which is trivial on the subgroups. I will discuss a new method of enumerating all such cocycles for fixed H, K and G, and provide some examples in index 6.