Kingdom Animalia Linnaeus, 1758 - animals
   Phylum †Conodonta Eichenberg, 1930 see Subclass Conodonta Eichenberg, 1930
     Class †Conodontophorida Eichenberg, 1930 see Order Conodontophorida Eichenberg, 1930
       Order †Hibbardellina
         Genus †Epigondolella Mosher, 1968
         Genus †Furnishius Clark, 1959
         Genus †Hibbardella Bassler, 1925
         Genus †Idioprioniodus Gunnell, 1933
         Genus †Kockelella Walliser, 1957
         Genus †Mesotaxis Klapper & Philip, 1972
         Genus †Palmatolepis Ulrich & Bassler, 1926
         Genus †Parachirognathus Clark, 1959
         Genus †Platyvillosus Clark, Sincavage & Stone, 1964
         Genus †Polygnathus Hinde, 1879