Originally Posted by Barrow Museum
As a Permian genus, it cannot be an "Ammonite". It can however, be classified as an "Ammonoid" (Subclass Ammonoidea). To go a little further along the classification chain, it is in the order Goniatitida (Goniatites).
I was taught (admittedly a few decades ago) that Ammonites meant the suborder Ammonitina, one of the four suborders of the order Ammonitida, which only evolved at the beginning of the Jurassic, and exclude the root-stock suborders of Phylloceratina and Lytoceratina. The later, mainly Cretaceous suborder Ancycloceratina, often called Heteromorphs (they have irregular coiled shells) are also excluded from the "Ammonites". However, no-one would object to your calling any Jurassic Ammonitid an ammonite!
Wikipedia succinctly states:
The words "ammonite" and "ammonoid
" are both used quite loosely in common parlance to refer to any member of subclass Ammonoidea. However, in stricter usage, the term ammonite is reserved for members of order Ammonitida
(or even suborder Ammonitina