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] [unranked] †subholosteans
                     Order †Perleidiformes Berg, 1937 [paraphyletic?]
                       1 Family †Cephaloxenidae Brough, 1939
                       2 Family †Cleithrolepididae Wade, 1935, nom. praeval.
                       3 Family †Colobodontidae Andersson, 1916
                       4 Family †Perleididae Brough, 1931
                       5 Family †Platysiagidae Brough, 1939
                       6 Family †Peltopleuridae Brough, 1939