Rafael, good point - the Hexapoda - Insecta division is less settled in my mind. Collembola and Protura are very problematic in their placement but I think you are right, the opinion is leaning toward removing them from Insecta.
Psocoptera is not monophletic because Phthiraptera (parasitic lice) evolved within the suborder Troctomorpha: Article Morphology of male genitalia in lice and relatives and phylo...
The class Insecta contains about 30 million species and is divided into 25 orders. These are the ten largest orders, with the scientific name, the type of insects in contains, and how many species listed in the title.