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
           1 Genus †Shieliaᵀ Märss, 1998
           2 Genus †Paralogania Karatajūtė-Talimaa, 1997
           3 Genus †Praetrilogania Blom, 1999