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
                   01 Genus †Diplospondichthys Filleul & Dutheil, 2004, incertae sedis
                   02 [stem] Family †Haplolepidae Westoll, 1944
                   03 Genus †Coccolepis Agassiz, 1844, incertae sedis
                   04 [stem] Order †Cheirolepidiformes [monotypic]
                   05 [stem] Order †Palaeonisciformes Jarvik, 1961
                   06 [stem] Order †Dorypteriformes Cope, 1871 [monotypic]
                   07 [stem] Order †Platysomiformes
                   08 [stem] Order †Tarrasiiformes [monotypic]
                   09 [stem] Order †Guildayichthyiformes Lund, 2000 [monotypic]
                   10 [stem] Order †Phanerorhynchiformes [monotypic]
                   11 [stem] Order †Saurichthyiformes Aldinger, 1937 [monotypic]
                   12 [stem] [unranked] †subholosteans
                   13 [crown] Infraclass Cladistia Cope, 1870 [monotypic] see Class Cladistii Cope, 1870
                   14.1 [crown] Infraclass Chondrostei Müller, 1844 see Subclass Chondrostei Müller, 1844
                   14.2 [crown] Neopterygii Regan, 1923 see Subclass Neopterygii Regan, 1923