Adult females lying on cushion of cotton; retaining feet and antennæ Gossyparia. Adult females enclosed in a cottony sac; apodous; with or without antennæ; excreting from the abdomen a very long cottony appendage Antonina. The genus _Acanthococcus_, Signoret (loc. cit., 1874, p. 34), is here united to _Eriococcus_; and the genus _Capulinia_, Signoret (loc. cit., 1874, p. 27), to _Antonina_. Subdivision II. Adult females active or stationary; naked, or covered with mealy, cottony, or waxy secretion; antennæ of from six to nine joints; anogenital ring conspicuous, with several long hairs; anal tubercles inconspicuous. Eyes of male sometimes facetted Dactylopidæ. Adult females having antennæ of eight joints; anogenital ring with six hairs; naked, or covered with meal or cotton Dactylopius. Adult females having antennæ of nine joints; covered with cottony secretion; anogenital ring with six hairs; upper digitules of foot absent Pseudococcus. _Genera not yet represented in New Zealand._ Adult females having antennæ of six joints; covered with mealy secretion; anogenital ring with six hairs Ripersia. Adult females having antennæ of nine joints; anogenital ring with eight hairs; upper digitules of foot present Puto. Adult females having antennæ of eight joints; covered with plates of waxy secretion; anogenital ring with six hairs. Eyes of male facetted Orthezia. The genera _Westwoodia_ and _Boisduvalia_, Signoret (loc. cit., 1874, pp. 337, 338), are here united to _Dactylopius_. Subdivision III. _Not yet represented in New Zealand._ Adult females active, covered with mealy secretion; antennæ of seven joints; no hairs on anogenital ring. Eyes of male not facetted Coccidæ. Adult females having antennæ of seven joints; no hairs on anogenital ring Coccus. Subdivision IV. Adult females active or stationary; naked, or covered with mealy, waxy, or cottony secretion; antennæ of ten or eleven joints; anterior pair of feet similar to the rest; anogenital ring without hairs; anal tubercles inconspicuous. Males with facetted eyes and no ocelli Monophlebidæ.