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
           01 Family †Radiocelliidae Senowbari-Daryan & Wurm, 1994 see Family Radiocellidae Senowbari-Daryan & Wurm, 1994
           02 Family †Protetraclisidae Schrammen, 1924
           03 Family Siphoniidae d'Orbigny, 1851
           04 Family †Astrocladiidae Schrammen, 1901
           05 Family †Phymaraphiniidae Schrammen, 1910
           06 Family Theonellidae Lendenfeld, 1903
           07 Family †Plinthosellidae Schrammen, 1910
           08 Family †Chenendoporidae Roemer, 1864
           09 Genus †Vermiculissimum de Laubenfels, 1955
           10 Genus †Sulcastrella Schmidt, 1879