Hydrozoa Owen, 1843
Aeginidae Gegenbauer, 1857
Csiromedusidae Gershwin & Zeidler, 2010
Cuninidae Bigelow, 1913
Polypodiidae Poche, 1914
Solmaridae
Solmarisidae Haeckel, 1879
Tetraplatidae Collins, Bentlage, Lindner, Lindsay, Haddock, Jarms, Norenburg, Jankowski & Cartwright, 2008
