Phylum Porifera Grant, 1836 - sponges
   Class Demospongea Sollas, 1875 see Class Demospongiae Sollas, 1885
     Subclass Ceractinomorpha Lévi, 1953 see Class Demospongiae Sollas, 1885
       Order †Agelasida Hartman, 1980
         01 Family †Catenispongiidae Finks, 1995
         02 Family †Virgolidae Termier & Termier, 1977
         03 Family †Sphaeropontiidae Rigby & Senowbari-Daryan, 1996
         04 Family †Exotubispongiidae Rigby & Senowbari-Daryan, 1996
         05 Family †Sestrostomellidae de Laubenfels, 1955
         06 Family †Pharetrospongiidae de Laubenfels, 1955
         07 Family †Auriculospongiidae Termier & Termier, 1977
         08 Family †Stellispongiellidae Wu, 1991
         09 Family †Preperonidellidae Finks & Rigby, 2004
         10 Family †Fissispongiidae Finks & Rigby, 2004
         11 Family †Maeandrostiidae Finks, 1971
         12 Family †Angullongiidae Webby & Rigby, 1985
         13 Family †Phragmocoeliidae Ott, 1974
         14 Family †Intrasporeocoeliidae Fan & Zhang, 1985
         15 Family †Cryptocoeliidae Steinmann, 1882
         16 Family †Palermocoeliidae Senowbari-Daryan, 1990 [monotypic]
         17 Family †Girtyocoeliidae Finks & Rigby, 2004
         18 Family †Thaumastocoeliidae Ott, 1967
         19 Family †Aphrosalpingidae Myagkova, 1955
         20 Family †Glomocystospongiidae Rigby, Fan & Zhang, 1989
         21 Family †Sebargasiidae de Laubenfels, 1955 (1882)
         22 Family †Olangocoeliidae Bechstädt & Brandner, 1970 [monotypic]
         23 Family †Cliefdenellidae Webby, 1969
         24 Family †Girtycoeliidae Finks & Rigby, 2004
         25 Family †Guadalupiidae Girty, 1908
         26 Genus †Fluegelispongites Mostler, 1994, incertae sedis
         27 Genus †Madonia Senowbari-Daryan & Schafer, 1986, incertae sedis
         28 Genus †Thamnonema Sollas, 1883, incertae sedis