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)
                                 Superorder Cyclosquamata [monotypic] see Section Aulopa Wiley & Johnson, 2010
                                   Order Aulopiformes Rosen, 1973 - lizardfishes
                                     Suborder †Halecoidei Goody, 1969 [monotypic]
                                       Family †Halecidae Agassiz, 1834
                                         1 Genus †Halec Agassiz, 1834
                                         2 Genus †Hemisaurida Kner, 1867
                                         3 Genus †Phylactocephalus Davis, 1887