Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908 Phylum Chordata Bateson, 1885 - chordates Subphylum Craniata auct. Superclass Myxinomorphi [monotypic] see Infraphylum Myxinomorphi Class Myxini Jaekel, 1911 [monotypic] Order Myxiniformes - hagfishes Family Myxinidae Rafinesque, 1815 - hagfishes 1 Subfamily Myxininae Rafinesque, 1815 - hagfishes 2 Subfamily Eptatretinae Bonaparte, 1850 - multi-gill hagfishes