Vertebrata Cuvier, 1812 - vertebrates Gnathostomata Class Chondrichthyes Huxley, 1880 - cartilaginous fishes Subclass Holocephali Bonaparte, 1832 Suborder †Cochliodontoidei [monotypic] see Order Cochliodontiformes Obruchev, 1953 Family †Cochliodontidae Owen, 1867