Stomopneustoida Kroh & Smith, 2010
Phymechinus Desor, 1856
Phymotaxis Lambert & Thiéry, 1914
Promechinus Vadet, Nicolleau & Reboul, 2010
Stomopneustes L. Agassiz, 1841b
Triadechinus H.L. Clark, in Arnold & H.L. Clark, 1927
