Hexactinellida Schmidt, 1870
Hyalonematidae Gray, 1857
Hyalonemia
Itararella Kling & Reif, 1969
Kalimnospongia Rigby & Webby, 1988
Liscombispongia Rigby & Webby, 1988
Monoraphididae
Monorhaphididae Ijima, 1927
Pelicaspongia Rigby, 1970
Pelicaspongiidae Rigby, 1970
Pheronematidae Gray, 1870
Stiodermatidae Finks, 1960
Walliospongia Rigby & Webby, 1988
Wareembra