Ascoceratidae is a family of Ascocerida, bizarre nautiloid cephalopods, with longiconic, deciduous early growth stages which undergo period truncation and an inflated breviconic mature ascoceroid stage. The Ascoceratidae are divided into two, unequal subfamilies. Ascoceratinae includes the following genera, Ascoceras, Aphragmites, Billingsites, Glossoceras, Lindtroemoceras, Parascoceras, Suchertoceras.With the exception of Billingsites and Suchertoceras, which are from the Ordovician, these genera are all Silurian.