The insect order Blattodea includes cockroaches and termites, but only the former are treated in this sections as "Blattodea sensu strictu".
(after Roth 1991): Cockroaches have a dorso-ventrally flattened body. They have chewing mouthparts directed downwards on a head in repose. The forewings, when present, are usually modified into hardened tegmina, hind wings, when present, are membranous. Females deposit the eggs into an ootheca, which may be carried externally, deposited into the substrate or retracted into an uterus or brood sac.
Rentz (2014) wrote a guide to the cockroaches of Australia.