In Rieger's  system the clade Ochteridae + Gelastocoridae (Ochteroidea) was shown in the second branch, while the Corixidae were presented as the third branch.
The monophyly of the lineage Ochteridae + Gelastocoridae (Ochteroidea) is supported by 3 unambiguous synapomorphies (2-3), (34-2), and (35-1).
The sister group relationship between the Ochteroidea and the Aphelocheiridae is found in 73% of the trees, and a relatively high bootstrap value of77% also supports this relationship for the Potamocoridae.
 was generally congruent with the traditional classification of Mahner ; however, a new superfamily of the Aphelocheiroidea (Aphelocheiridae + Potamocoridae) was evaluated, and moreover the Naucoroidea were restricted to only one family (Naucoridae) and the Ochteroidea received a new position (Ochteridae + Gelastocoridae).
, on the basis of four Hox genes, supported the monophylies of the Nepomorpha, Naucoroidea (Aphelocheiridae + Naucoridae), Nepoidea (Belostomatidae + Nepidae), Ochteroidea (Ochteridae + Gelastocoridae), and Pleoidea (Pleidae + Helotrephidae); the Ochteroidea were the most basal lineage; the Notonectoidea contained Notonectidae only and formed a new sister relationship with the (Pleoidea + Naucoroidea) and the sister relationship with (Nepoidea + Corixoidea).
Then, the superfamily Ochteroidea (Ochteridae and Gelastocoridae) is positioned bellow the Corixoidea, however, in a different position from the one it had in the cladogram developed by Hebsgaard et al.
Mahner's (1993) scheme differs from Rieger's (1976) in the position of Corixidae, which is considered the sister group of (Ochteroidea
+ (Naucoroidea + Notonectoidea)); whereas in Rieger's scheme the position of the Ochteroidea
and Corixidae are inverted [i.e., (Ochteroidea
+ (Corixidae + ("Naucoroidea" + Notonectoidea)))].
There is evidence pointing to a close relationship between the Gelastocoridae and Ochteridae which, taken together, have formed the Ochteroidea
, but the Aphelocheiridae are rather distal in relationship from those families and have formed the Aphelocheiroidea together with the Potamocoridae .