Phylum Porifera Grant, 1836 - sponges
   Class Hexactinellida Schmidt, 1870 - hexactinellids
     Subclass Amphidiscophora Schulze, 1886
       Order Amphidiscosa Schrammen, 1924 see Order Amphidiscosida Schrammen, 1924
         Family †Pelicaspongiidae Rigby, 1970
           01 Genus †Larispongia Carrera, 1998
           02 Genus †Liscombispongia Rigby & Webby, 1988
           03 Genus †Wongaspongia Rigby & Webby, 1988
           04 Genus †Vaurealispongia Rigby, 1974
           05 Genus †Twenhofelella Rigby, 1974
           06 Genus †Asturiaspongia Garcia-Bellido & Rigby, 2004
           07 Genus †Bayviewia Reimann, 1945
           08 Genus †Calicispongia Reimann, 1945
           09 Genus †Cavospongiella Rigby, 1986
           10 Genus †Galeospongia Rigby, 1986
           11 Genus †Lysactinella Girty, 1895
           12 Genus †Pelicaspongia Rigby, 1970
           13 Genus †Polylophalis Reimann, 1945
           14 Genus †Pseudohydnoceras Reimann, 1934
           15 Genus †Stiodermiella Rigby, 1995
           16 Genus †Arakespongia Rigby, Chamberlain & Black, 1970
           17 Genus †Ascospongiella García-Bellido Capdevila & Rigby, 2004
           18 Genus †Estrellaspongia García-Bellido Capdevila & Rigby, 2004
           19 Genus †Hadrophragmos García-Bellido Capdevila & Rigby, 2004
           20 Genus †Prenehydnoceras Hurcewicz & Czarniecki, 1986
           21 Genus †Spiractinella Hinde, 1887
           22 Genus †Keriogastrospongia Wu, 1989
           23 Genus †Lecanocoelospongia Wu, 1989
           24 Genus †Placospongia Gray, 1867