Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct.
       Vertebrata Lamarck, 1801 - vertebrates see Infraphylum Vertebrata Lamarck, 1801
         Myopterygii Janvier, 1978 - myopterygians
           Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
             Grade Teleostomi Bonaparte, 1836 see Clade Pan-Osteichthyes Rowe 2004 [Moore & Near 2020]
               Euteleostomi - bony vertebrates see Clade Osteichthyes Huxley 1880 [Moore & Near 2020]
                 Class Actinopterygii Woodward, 1891 - ray-finned fishes see Clade Actinopterygii Woodward 1891 [Moore & Near 2020]
                   Subclass Chondrostei Müller, 1844 [monophyletic?]
                     Order Acipenseriformes Berg, 1940 - paddlefishes and sturgeons
                       Suborder Acipenseroidei
                         Family Polyodontidae Bonaparte, 1835 - paddlefishes
                           1 [plesion] Genus †Protopsephurus Lu, 1994
                           2.1 [plesion] Genus †Paleopsephurus MacAlpin, 1941
                           2.2.1.1 [plesion] Genus †Crossopholis Cope, 1883
                           2.2.1.2 Genus Polyodon Bloch & Schneider, 1801
                           2.2.2 Genus Psephurus Günther, 1873 [monotypic]