After Carroll, 1988, Williams, G. S., 1999-2000

<==o †Xenacanthiformes Berg, 1940 [Xenacanthida Glikman, 1964]
   |--o †Diploselachidae Dick, 1981 sensu Hampe, 2003
   |  |-- Diplodoselache woodi Dick, 1981, Miss. Eu. []
   |  |--o †Orthacanthus Agasiz, 1843 [Diplodus Agassiz, 1843; Didymodus Cope, 1883; Diacranodus Garman, 1885; Diplodus Woodward, 1889; Orthacanthus Fritsch, 1889; Xenacanthus Beyrich, 1946, Hotton, 1952, Berman, 1970] Carb.-Perm. Eu. Perm. NA. U. Dev or L. Carb. EAs.
   |  |  |-- †O. arcuatus (Newberry, 1856)
   |  |  |-- †O. cylindricus (Agassiz, 1843)
   |  |  |-- †O. compressus (Newberry, 1856) [=? Xenacanthus compressus]
   |  |  |-- †O. gibbosus
   |  |  |-- †O. senckenbergianus
   |  |  |-- †O. bohemicus
   |  |  |-- †O. texensis Johnson, 1999
   |  |  |-- †O. platypternus Johnson, 1999
   |  |  `-- †O. donnelljohnsi Johnson & Thayer, 2009
   |  `== Three other genera
   `--o †Xenacanthidae Fritsch, 1889b
      |-- †Anodontacanthus acutus Davis, 1881b, U. Carb. Eu.
      |--o †Antarctilamna Young, 1982, M. Dev. Aust. Ant. SA.
      |  |-- †A. sp. [Colombia]
      |  `-- †A. prisca Young, 1982
      |--o †Diacranodus [Didymodus, Dittodus] M. Dev. L. Perm. NA.
      |  |-- †D. platypternus (Cope, 1884)
      |  |-- †D. texensis (Cope, 1884)
      |  |-- †D. priscus Eastman, 1899
      |  `-- †D. striatus Eastman, 1899
      |--o Expleuracanthus
      |  `-- †E. gaudryi
      |?- †Iriodus [Expleuracanthus] L. Perm. Eu.
      |?- †Phricacanthus biserialis Davis, 1874, Penn. Eu. 
      |?- †Platyacanthus ventricosus Fritsch, 1889b [Anodontacanthus] L. Perm. Eu.
      |-- †Pleuracanthus decheni Penn. Eu. 
      |--o †Triodus Jordan, 1849 sensu Soler-Gijón & Hempe, 1998, and Hempe, 2003
      |  |--o †Triodus Jordan, 1849
      |  |  |-- †T. sesselis Jordan, 1849
      |  |  |-- †T. kraetschmeri
      |  |  `-- †T. elpia Johnson & Thayer, 2009
      |  `--o †Bohemiacanthus Schneider, 1996 [Schneider & Zajíc, 1994] [Triodus Jordan, 1849 in partim]
      |     |-- †B. carinatus [Triodus carinatus]
      |     |-- †B. lauterensis [Triodus lauterensis]
      |     |-- †B. palatinus [Triodus palatinus]
      |     |-- †B. obscurus (Hampe, 1989) [Triodus obscurus Hampe, 1989 ]
      |     `-- †B. serratus [Triodus serratus]
      `--o †Xenacanthus [Hypospondylus, Orthacanthus] L. Perm. Eu. NA. 
         |-- †X. compressus [=? Orthaganthus compressus (Newberry, 1856)]
         |-- †X. decheni (Goldfuss, 1847)
         |-- †X. gracilis (Newberry, 1875)
         |-- †X. laevissimus (Agassiz, 1837)
         |-- †X. meisenheimensis
         |-- †X. moorei (Woodward, 1889) [Orthacanthus]
         |-- †X. parvidens (Woodward, 1908)
         |-- †X. sp. [Australia]
         |-- †X. texanus
         `-- †X. texensis [=? Orthacanthus texensis Johnson, 1999]

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