On its home page the Association of Shintō Shrines lists 14 shrines registered with it in Inagi-shi. Four of these are double counted, however, so the real number is ten.  My database has 12 main shrines and five in-ground shrines, the latter are all at Ōmatonotsunoten Jinja. In the following table "Tokyo-to, Inagi-shi" has been omitted in the interests of readability.