[Phylum] Chordata Bateson, 1885 - chordates
   Subphylum Craniata auct.
     Infraphylum Vertebrata Lamarck, 1801 - vertebrates
       Superclass †Thelodontomorphi Jaekel, 1911 [monotypic]
         Class †Thelodonti Jaekel, 1911
           Order †Shielliiformes van der Laan, 2018, orth. inval. [monotypic] see Order Shieliiformes Märss, Wilson & Thorsteinsson, 2002
             1 Family †Shieliidae Märss, Wilson & Thorsteinsson, 2002