Phylum Porifera Grant, 1836 - sponges
   Class Demospongiae Sollas, 1885 - demosponges
     Order †Permosphincta Termier & Termier, 1974
       Suborder †Porata Seilacher, 1962
         Family †Cryptocoeliidae Steinmann, 1882
           1 Genus †Antalythalamia Senowbari-Daryan, 1994
           2 Genus †Anisothalamia Senowbari-Daryan, Zuhlke, Bechstadt & Flugel, 1993
           3 Genus †Cryptocoelia Steinmann, 1882
           4 Genus †Rigbyspongia de Freitas, 1987
           6 Genus †Sphinctonella Hurcewicz, 1975
           7 Genus †Zanklithalamia Senowbari-Daryan, 1990