Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct. see Subphylum Vertebrata Cuvier, 1812
       Vertebrata (Lamarck, 1801) - vertebrates see Subphylum Vertebrata Cuvier, 1812
         Myopterygii - myopterygians
           Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
             Grade Teleostomi Bonaparte, 1836
               Euteleostomi - bony vertebrates
                 Class Actinopterygii Woodward, 1891 - ray-finned fishes
                   Subclass Neopterygii Regan, 1923
                     Division Teleostei Müller, 1845 see Infraclass Teleostei Müller, 1845
                       Elopocephala see Supercohort Teleocephala de Pinna, 1996
                         Clupeocephala
                           Subdivision Euteleostei Greenwood et al., 1966 [monophyletic?] see Cohort Euteleosteomorpha (Greenwood et al., 1966)
                             Neoteleostei - neoteleosts see Subcohort Neoteleostei Nelson, 1969
                               Eurypterygii Rosen, 1973 - eurypterygians see Infracohort Eurypterygia (Rosen, 1973)
                                 Ctenosquamata see Section Ctenosquamata Rosen, 1973
                                   Acanthomorpha Rosen, 1973 - spiny-rayed fishes see Subsection Acanthomorphata (Rosen, 1973)
                                     Euacanthomorpha (Johnson & Patterson, 1993)
                                       Superorder Polymixiomorpha [monotypic] see Division Polymixiacea Wiley & Johnson, 2010
                                         Order Polymixiiformes Lowe, 1838 [monotypic] - beardfishes
                                           Family Polymixiidae Gill, 1862 - beardfishes
                                             1 Genus Polymixia Lowe, 1836
                                             2 Genus †Berycopsis Agassiz, 1850
                                             3 Genus †Dalmatichthys Radovcic, 1975
                                             4 Genus †Omosoma Costa, 1857
                                             5 Genus †Omosomopsis Gaudant, 1978