Phylum Porifera Grant, 1836 - sponges
   Class Hexactinellida Schmidt, 1870 - hexactinellids
     Subclass Hexasterophora Schulze, 1886
       Order Hexactinosa Schrammen, 1903 see Order Hexactinosida Schrammen, 1903
         Superfamily Pileolitoidea Finks, 1960
           Family †Craticulariidae Rauff, 1893
             1 Genus †Conicospongia Rigby & Pisera, 2001
             2 Genus †Cordiospongia Rigby & Pisera, 2001
             3 Genus †Paleocraticularia Rigby & Pisera, 2001
             4 Genus †Polonospongia Rigby & Pisera, 2001
             5 Genus †Urnospongia Rigby & Pisera, 2001