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 Chondrichthiomorphi
Class Chondrichthyes Huxley, 1880 - cartilaginous fishes
Subclass Holocephali Bonaparte, 1832
Superorder Holocephalimorpha (Lund, 1986)
Cochliodontomorpha
Order †Chondrenchelyiformes Moy-Thomas, 1939 [monotypic]
Family †Chondrenchelyidae Berg, 1940
Genus †Platyxystrodus Hay, 1899