These fusion categories are all weakly integral, each with an FPdim less than 84, and therefore, they are all weakly group-theoretical. Consequently, they can all be described using models that are, to varying degrees, derived from finite group theory. The first category is recognized as  N°3 of rank 6 in [this paper](https://link.springer.com/content/pdf/10.1007/s11005-022-01542-1.pdf), and has a model from zesting.