Lovely, you see its beauty. As you mentioned it in your article, see above, for order 4, the number of abelian hypergroups alone reaches 10,614,362 up to isomorphism. But we know also that there exists, up to isomorphism, 8.028.299.905 abelian Hv-groups of order 4. See the following paper: https://lygeros.org/wp-content/uploads/2019/12/advanced.pdf You mentioned it in your references but not the number. For even more details about that see this table.

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