After Parker, 1982

<==o Hexactinellida [Hyalospongea] (glass sponges; lasisienet)
   |--o Amphidiscophora
   |  `--o Amphidiscosida [Pheronematidae, Monoraphididae]
   |     `-- Hyalonematidae
   `--o Hexasterophora
      |--o Hexactinosida
      |  |-- Farreidae
      |  |-- Euretidae
      |  |-- Craticulariidae
      |  |-- Aphrocallistidae
      |  |-- Tretodictyidae
      |  `-- Aulocalycidae
      |--o Lychniscosida
      |  |-- Aulocystidae
      |  |-- Diapleuridae*
      |  `-- Dactylocalycidae
      `--o Lyssacinosida
         |-- Leucopsacidae
         |-- Euplectellidae
         |-- Rossellidae
         `-- Caulophacidae

After de Laubenfels, 1955

<==o Hyalospongea (glass sponges; lasisienet)
   |--o Lyssakida
   |  |-- Hyalonematidae [Amphidiscophora: Amphidiscosida] [Pheronematidae, Monoraphididae]
   |  |-- Pheronematidae
   |  |-- Euplectellidae
   |  |-- Sympagellidae
   |  |-- Lanuginellidae
   |  |-- †Stauractinellidae
   |  |-- †Protospongiidae
   |  |-- †Leptomitidae
   |  |-- †Teganiidae
   |  |-- †Holasterellidae
   |  |--o †Dictyospongiidae
   |  |  |-- †Dictyospongiinae
   |  |  `-- †Prismodictyinae
   |  |-- †Uphantenidae
   |  |-- †Branchiospongiidae
   |  |-- †Multivasculatidae
   |  |-- †Vauxiidae
   |  |-- †Amphispongiidae
   |  `-- †Titusvilliidae
   |--o Dictyida
   |  |-- †Eubrochididae
   |  |-- †Staurodermatidae
   |  |-- †Leptophragmatidae
   |  |-- †Emplocidae
   |  |-- †Polythyrididae
   |  |-- †Polystigmatiidae
   |  |-- †Porospongiidae
   |  |-- †Botryosellidae
   |  |-- †Euretidae
   |  |-- Euryplegmatidae
   |  |-- Hexactinellidae
   |  |-- Pleurostomatidae
   |  |-- Myliusiidae
   |  |-- Dactylocalycidae
   |  |-- Aphrocallistidae
   |  `-- Wapkiosidae
   |--o Lychniskida
   |  |-- †Vetriculitidae
   |  |-- †Coeloscyphiidae
   |  |-- †Polyblastidiidae
   |  |-- †Coeloptychiidae
   |  |-- Camerospongiidae
   |  |-- †Cypelliidae
   |  |-- †Oncotoechidae
   |  |-- †Callodictyidae
   |  |-- †Coscinoporidae
   |  |-- †Becksiidae
   |  `-- †Calyptrellidae
   `--o †Heteractinida
      |-- †Chancelloriidae
      |-- †Astraeospongiidae
      `-- †Asteractinellidae

Reference(s):