Amphidiscosida Schrammen, 1924
Ascospongiella Garcia-Bellido & Rigby, 2004
Asturiaspongia Garcia-Bellido & Rigby, 2004
Cavospongiella Rigby, 1986
Estrellaspongia Garcia-Bellido & Rigby, 2004
Galeospongia Rigby, 1986
Hadrophragmos García-Bellido, 2002
Hexirregularia
Naybandospongia
Trailospongia
Twenhofelella Rigby, 1974
