After Kazlev, 2002, and Anonymous, 2009 [“Wikipedia – The Free Encyclopedia”]

<==o †Ascocerida Kuhn, 1949 [nom. correct. Teichert, 1964 pro Ascoceracea Kuhn, 1949]
   `==o †“Hebetoceratidae”
      |?- †Montyoceras
      |?- †Schuchertoceras Miller
      |?- †Shamattawaceras ascoceroides Foerste & Savage
      |?- †Ecdyceras
      |?- †Pachecdyceras
      `--+?- †Hebetoceras
         `--+?- †Redpathoceras
            |--o †Choanoceratidae
            |  `-- †Choanoceras
            `--+?- †Probillingsites
               `--o †Ascoceratidae
                  |?- †Parascoceras
                  |?- †Pseudascoceras
                  |?- †Aphragmites
                  |?- †Lindstroemoceras Miller
                  `--+-- †Schucertoceras
                     `--+--o †Billingsites
                        |  `-- †B. candensis (Billings)
                        `--+--o †Ascoceras
                           |  |-- †A. barrandei Salter
                           |  `-- †A. vermiforme Blake
                           `-- †Glossoceras

Reference(s):