After Rees & Underwood, 2002, Mutter, de Blanger & Neuman, 2007, and Coates & Gess, 2007, with genera and species from Carroll, 1988, and Williams, 1999-2000

<==o †“Hybodontiformes” Owen, 1846 [Hybodontoidei Zangerl, 1981]
   |?- †Arctacanthus [Ancistriodus; Dolophonodus; Hamatus; Homacanthus] M. Perm. NA. U. Perm. Gr. 
   |?- †Dabasacanthus Penn. NA.
   |?- †Moyacanthus thomasi Miss. Eu.
   `--+-- †Tristychius arcuatus Agassiz, 1837, Miss. Eu. [a ctenacanthiform??]
      `--+-- †Hopleacanthus richelsdorfensis Perm. Eu.
         `--+-- †Onychoselache traquairi Dick, 1978, Miss. Eu.
            `--+?- Neoselachii (uushait)
               `--o †Hybodontoidei Owen, 1846 sensu Zangerl, 1981
                  |?- †Hypodontoidei genera et species indet. [L. Carb. EAs.] [Wang, Jin & Wang, 2004]
                  |?-o †Steinbachodus Reif, 1980 [Steinbachodontidae Reif, 1980]
                  |  |-- †S. estheriae Reif, 1980
                  |  `-- †S. bartheli (Werner, 1989)
                  |?-o †Homalodontidae Mutter, De Blanger & Neuman, 2008 [Wapitiodidae Mutter, De Blanger & Neuman, 2007]
                  |  |--o †Homalodontus Mutter, de Blanger & Neuman, 2008 [†Wapitiodus Mutter, de Blanger & Neuman, 2007, nonWapitiodus Orchard, 2005, a genus ofconodonts] L.Trias. WNAm. 
                  |  |  |-- †H. aplopagus (Mutter, de Blanger & Neuman, 2007) [†Wapitiodus aplopagus Mutter, de Blanger & Neuman, 2007]
                  |  |  `-- †H. homalorhizo  (Mutter, de Blanger & Neuman, 2007) [†Wapitiodus homalorhizo Mutter, de Blanger & Neuman, 2007]
                  |  `--o †Prolatodon Pla, Márquez-Aliaga & Botella, 2013
            †P. bucheri (Cuny, Rieppel & Sander, 2001) [†“Polyacrodusbucheri Cuny, Rieppel & Sander, 2001]
            †P. contrarius  (Johns, Barnes & Orchard, 1997) [†“Polyacroduscontrarius Johns, Barnes & Orchard, 1997]
                  |-- †Hamiltonichthys mapesi
                  `--+-- †Lonchidiidae Herman, 1977
                     `--+-- †Polyacrodontidae Glückman, 1964a
                        `--+-- †Acrodontidae Casier, 1959 [paraphyletic?]
                           `-- †Hybodontidae Owen, 1846 [paraphyletic?]

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