Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct.
       Infraphylum Vertebrata Lamarck, 1801 - vertebrates
         Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
           Eugnathostomata
             Grade Teleostomi Bonaparte, 1836 see Clade Pan-Osteichthyes Rowe 2004 [Moore & Near 2020]
               Class Osteichthyes Huxley, 1880 - bony fishes and tetrapods see Clade Osteichthyes Huxley 1880 [Moore & Near 2020]
                 Subclass Actinopterygii Woodward, 1891 - ray-finned fishes see Class Actinopterygii Woodward, 1891
                   [stem] Order †Palaeonisciformes Jarvik, 1961
                     01 Family †Aeduellidae Romer, 1945
                     02 Family †Acrolepidae Aldinger, 1937 see Family Acrolepididae Aldinger, 1937, nom. praeval.
                     03 Family †Amblypteridae Romer, 1945
                     04 Family †Birgeriidae Aldinger, 1937, incertae sedis
                     05 Genus †Canobius Traquair, 1881
                     06 Family †Commentryidae Gardiner, 1963, incertae sedis
                     07 Family †Elonichthyidae Aldinger, 1937, incertae sedis
                     08 Family †Palaeoniscidae Bonaparte, 1846
                     09 Family †Pygopteridae Fitzinger, 1873, incertae sedis
                     10 Family †Rhabdolepidae Gardiner, 1963, nom. illeg. see Family Rhabdolepididae Gardiner, 1963
                     11.1 Family †Rhadinichthyidae Romer, 1945
                     11.2 Family †Aesopichthyidae Poplin & Lund, 2000
                     12 Family †Stegotrachelidae Gardiner, 1963, "nom. praeval."