Subphylum [Vertebrata] Cuvier, 1812 - vertebrates
Class Agnatha Cope, 1889
Subclass †Thelodonti Kiaer, 1932
Order †Shieliiformes Märss, Wilson & Thorsteinsson, 2002 [monotypic]
Family †Shieliidae Märss, Wilson & Thorsteinsson, 2002
Genus †Paralogania Karatajūtė-Talimaa, 1997
†Paralogania readbayensis Märss, Wilson & Thorsteinsson, 2002