Phylum Porifera Grant, 1836 - sponges
   Class Demospongea Sollas, 1875 see Class Demospongiae Sollas, 1885
     Subclass †Lithistida Schmidt, 1870
       Order Tetralithistida Lagneau-Hérenger, 1962
         Suborder Tetracladina Zittel, 1878
           Family Theonellidae Lendenfeld, 1903
             1 Subfamily Theonellinae von Lendenfeld, 1903
             2 Subfamily †Acrochordoniinae Schrammen, 1910
             3 Subfamily †Phymaplectiinae Reid, 2004
             4 Genus †Pachycorynea Pocta, 1907
             5 Genus †Rhopalospongia Hinde, 1883
             6 Genus †Verrucodesma Reid, 2004
             7 Genus †Zitteleus de Laubenfels, 1955