According to their study, the most basal lineage is the Ochteroidea, whereas the Notonectoidea include only the Notonectidae and form a new sister relationships with (Pleoidea + Naucoroidea) and (Nepoidea + Corixoidea).
The monophyly of the superfamily Pleoidea (Pleidae and Helotrephidae) is supported by two unambiguous synapomorphies: (37-4) and (46-3).
, the system of classification of the Nepomorpha included seven monophyletic superfamilies, namely, (Nepoidea, Corixoidea, Aphelocheiroidea, Naucoroidea, Ochteroidea, Notonectoidea, and Pleoidea (Pleidae + Helotrephidae)).
, 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).
, who treated the Nepomorpha as a monophyletic group, excluding the Pleoidea.
Actually, the clade Helotrephidae + Pleidae (Pleoidea) is also a sister group to the Notonectidae (Notonectoidea).
The classification system and the relationships among super(families) of the Nepomorpha with the Ochteroidea as the basal lineage and the configuration of the clade Pleoidea + Naucoroidea as well as the clade Nepoidea + Corixoidea presented by Li et al.
These families correspond to the group Cibariopectinata distinguished by Mahner  as well as to the Cibariopectinata composed of a polytomy of the clades Potamocoridae, Aphelocheiridae + Naucoridae, and Notonectidae + Pleoidea (Pleidae + Helotrephidae) presented only in the morphological analysis by Hebsgaard et al.