Phylum Porifera Grant, 1836 - sponges
   Class Demospongea Sollas, 1875 see Class Demospongiae Sollas, 1885
     Subclass †Lithistida Schmidt, 1870
       Order Spirosclerophorida Reid, 1963
         Suborder Rhizomorina Zittel, 1895
           Family †Haplistiidae de Laubenfels, 1955
             01 Genus †Boonderooia Rigby & Webby, 1988
             02 Genus †Lewinia Rigby & Webby, 1988, nom. illeg.
             03 Genus †Nipterella Billings, 1889
             04 Genus †Taplowia Rigby & Webby, 1988
             05 Genus †Warrigalia Rigby & Webby, 1988
             06 Genus †Haplistion Young & Young, 1877
             07 Genus †Parodospongia Rigby & Chatterton, 1989
             08 Genus †Columellaespongia Pickett, 1969
             09 Genus †Varneycoelia Pickett, 1969
             10 Genus †Crawneya Pickett, 1969
             11 Genus †Oremo Pickett, 1969
             12 ?Genus †Radiatospongia Wolfenden, 1959
             13 ?Genus †Rhaphidhistia Carter, 1878
             14 Genus †Chaunactis Finks, 1960
             15 Genus †Mortieria Koninck, 1841
             16 Genus †Kazania Stuckenberg, 1895
             17 ?Genus †Monarchopemmatites de Laubenfels, 1947
             18 ?Genus †Pemmatites Dunikowski, 1888