Phylum Porifera Grant, 1836 - sponges
   Class Demospongea Sollas, 1875 see Class Demospongiae Sollas, 1885
     Subclass †Lithistida Schmidt, 1870
       01 Order †Orchocladina Rauff, 1895
       02 Order Tetralithistida Lagneau-Hérenger, 1962
       03 Order Megalithistida Reid, 2004
       04 Order Axinellida Lévi, 1953 see Order Halichondrida Vosmaer, 1887
       05 Order Monalithistida Lagneau-Hérenger, 1955
       06 Family †Criccospongiidae Mostler, 1986 [monotypic]
       07 ?Genus †Petrosites Howell & Landes, 1936
       08 Genus †Syltrochos von Hacht, 1981
       09 Genus †Atractosella Hinde, 1887
       10 Genus †Belemnospongia Ulrich, 1889
       11 Genus †Incrustospongia Molineux, 1994
       12 Genus †Hippalimus Lamouroux, 1821
       13 Order Spirosclerophorida Reid, 1963