Phylum Porifera Grant, 1836 - sponges
   Class Hexactinellida Schmidt, 1870 - hexactinellids
     Subclass Hexasterophora Schulze, 1886
       Order Lyssacinosa Zittel, 1877 see Order Lyssacinosida Zittel, 1877
         Superfamily †Brachiospongioidea Beecher, 1889
           1 Family †Brachiospongiidae Beecher, 1889
           2 Family †Pyruspongiidae Rigby, 1971 [monotypic]
           3 Family †Malumispongiidae Rigby, 1967
           4 Family †Toomeyospongiidae Finks & Rigby, 2004 [monotypic]