After Parker, 1982

<==o Siphonophora
   |--o Calycophorae
   |  |-- Abylidae
   |  |-- Clausophyidae
   |  |-- Diphyidae
   |  |-- Hippopodiidae
   |  |-- Prayidae
   |  `-- Sphaeronectidae
   |--o Cystonectae [Rhizophysaliae]
   |  |-- Rhizophysidae
   |  `--o Physaliidae
   |     `-- Physalia
   `--o Physonectae [Physophorae]
      |-- Agalmidae
      |-- Apolemiidae
      |-- Athorybiidae
      |-- Forskaliidae
      |-- Physophoridae
      |-- Pyrostephidae
      `--o Rhodaliidae Haeckel, 1888 [Angelidae Fewkes, 1886; Rhodalidae Haeckel, 1888; incl. Dendrogrammatidae Just, Kristensen & Olesen, 2014]
         |--o Angelopsis Fewkes, 1886 [Angelidae Fewkes, 1886]
         |  |-- A. euryale Pugh, 1983
         |  `-- A. globosa Fewkes, 1886
         |-- Arancialia captonia Hissman, 2005
         |--o Archangelopsis Lens & van Riemsdijk, 1908
         |  |-- A. jagoa Hissmann, Schauer & Pugh, 1995
         |  `-- A. typica Lens & van Riemsdijk, 1908
         |-- Dendrogramma enigmatica Just, Kristensen & Olesen, 2014 [incl. D. discoides  Just, Kristensen & Olesen, 2014]
         |-- Dromalia alexandri Bigelow, 1911
         |-- Rhodalia miranda Haeckel, 1888
         |-- Steleophysema aurophora Moser, 1924 [Steleophysema auronecta Moser, 1925; Sagamalia hinomaru Kawamura, 1954]
         |--o Stephalia Haeckel, 1888 [Stephonalia Haeckel, 1888]
         |  |-- S. bathyphysa (Haeckel, 1888) [Stephonalia bathyphysa Haeckel, 1888]
         |  |-- S. corona Haeckel, 1888
         |  `-- S. dilata (Bigelow, 1911) [Angelopsis dilata Bigelow, 1911]
         |-- Thermopalia taraxaca Pugh, 1983
         `--o Tridensa Hissmann, 2005
            |-- T. rotunda Hissmann, 2005
            `-- T. sulawensis Hissmann, 2005

Reference(s):