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.