After Parker, 1982, “The Tree of Life”, and Grimaldi & Engel, 2005

<==o Sternorrhyncha (psyllids, whiteflies, aphids, coccids)
   |--o Psylloidea (kempit) [paraphyletic Psyllomorpha]
   |  |-- Psyllidae
   |  |-- Calophyidae
   |  |-- Phacopteronidae
   |  |-- Homotomidae
   |  |-- Carsidaridae
   |  `-- Triozidae
   `--+?-o Aleurodoidea (jauhiaisensukuiset) [paraphyletic Psyllomorpha]
      |  |?- †Heidea cretacica
      |  |?- †Bernaea neocomica
      |  `-- Aleurodidae (jauhiaiset)
      `--o Aphidomorpha (kirvamaiset)
         |?- †Creaphis theodora U.Trias.
         |?- †Genaphis
         |?- †Juraphis crassipes L.Jur.
         |?- †Grimmenaphis magnifica U.Jur.
         |?- †Tinaphis
         |--o †Canadaphidoidea
         |  |?- †Shaposhnikoviidae
         |  `--+-- †Palaeoaphididae
         |     `-- †Canadaphididae
         |-- Coccoidea (scale insects; kilpikirvojensukuiset)
         `--+--o Phylloxeroidea (havukirvojensukuiset)
            |  |--o Phylloxeridae
            |  |  `-- Dakulosphaira vitifolii (viinikirva)
            |  `--+-- †Cretamyzidae
            |     |-- †Elektraphididae
            |     |-- †Mesozoicaphididae
            |     `-- Adelgidae (havukirvat) [8/50]
            `--o Aphidoidea [Aphididae sensu lato] (kirvansukuiset)
               |-- †Oviparosiphidae
               `--+--+-- Pemphigidae
                  |  |?- Anoeciidae
                  |  `-- Hormaphididae
                  |?- †Taymyraphididae [Tajmyraphididae]
                  `--+?- Phloeomyzidae
                     |--+-- Mindaridae
                     |  `--+-- Drepanosiphidae
                     |     `-- Thelaxidae
                     `--+-- Greenideidae
                        `--+--o Aphididae (lehtikirvat)
                           |  |-- †Aphidocallis caudatus U.Cret. NAs.
                           |  `== Recent Aphidids
                           `-- Lachnidae

Reference(s):