Abstract
We establish that the ranges of the orders of hypergroup extensions are
described in the form of orders with respect to their subhypergroup and quotient hypergroup.
We obtain two families of hypergroup extensions which include the extensions
of all orders in the range of our estimation. Remarkable fact is that there exist hypergroup
extensions which have an order higher than one of the direct product of a
subhypergroup and a quotient hypergroup.
