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)
                                       Holacanthopterygii Johnson & Patterson, 1993
                                         Superorder Acanthopterygii Rosen & Patterson, 1969 see [unranked] Acanthopterygii Rosen & Patterson, 1969
                                           Series Percomorpha see Division Percomorphacea Wiley & Johnson, 2010
                                             Order Tetraodontiformes Berg, 1937 - plectognaths
                                               Suborder Balistoidei Rafinesque, 1810
                                                 1 Family †Moclaybalistidae Santini & Tyler, 2003
                                                 2 Family †Bolcabalistidae
                                                 3 Family †Eospinidae Santini & Tyler, 2003
                                                 4 Superfamily Triacanthoidea [monotypic] see Suborder Triacanthoidei Betancur et al., 2013
                                                 5 Superfamily Balistoidea
                                                 6 Superfamily Ostracioidea (Tyler, 1980)