After Carroll, 1988

<==o †Cochliodontidae Owen, 1867
   |?- †Cochliodontidae genera et species indet.1 Penn. NA. [Bear Gluch, Montana]
   |?- †Cochliodontidae genera et species indet.2 Penn. NA. [Bear Gluch, Montana]
   |?- †Cochliodontidae genera et species indet.3 Penn. NA. [Bear Gluch, Montana]
   |?- †Cranodus L. Perm. Aus. 
   |?- †Crassidonta L. Perm. Aus. 
   |?- †Cymatodus Penn. NA. 
   |?- †Erismacanthus [Cladacanthus, Dipriacanthus, Gampsacanthus, Lecracanthus] Miss. Eu. NA. ?Aus. 
   |?- †Macrodontacanthus L. Perm. NA. 
   |?- †Menaspacanthus Miss. Eu. 
   |--o †Cochliodus [Chitinodus; Cyrtonodus] Miss. Penn. Eu. Miss. NA.
   |  `-- †C. contortus 
   |--o †Deltodus Morris & Roberts, 1862 [Deltodopsis Stenopterodus Taeniodus) Miss. Eu. Miss. Penn. NA. Perm. Aus. 
   |  |-- †D. sublaevis (Agassiz, 1838) [Poecilodus sublaevis Agassiz, 1838]
   |  `-- †D. angularis Newberry & Worthen, 1866 [Sandalodus carbonarius Newberry & Worthen, 1866]
   |-- †Dichelodus Miss. Eu. 
   |-- †Diplacodus Miss. Eu. 
   |-- †Helodopsis Perm. SAs. 
   |-- †Icanodus [Enniskillen, Eutomodus] Miss. Eu. NA. Perm. Aus. 
   |-- †Platyodus Miss. NA. 
   |-- †Poecilodus [Poccilodus, lapsus calami] Miss. Eu. Miss. Penn. NA. ? Perm. Aus. 
   |-- †Psephodus [Aspidodus] Miss. Penn. Eu. Miss. L. Perm. NA. Penn. SAs. 
   |-- †Sandalodus [?Orthopleurodus, Trigonodus, Vaticinodus] U. Dev. Penn. NA. Miss. Eu. 
   |-- †Synthetodus U. Dev. NA. 
   |-- †Thoralodus U. Dev. Eu. 
   `-- †Xenodus [Goniodus] U. Dev. NA.

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