Cryptocercus is a genus of Dictyoptera

Dictyoptera

Dictyoptera includes three groups of polyneopterous insects - cockroaches , termites and mantids...

 (cockroaches and allies) in the family Polyphagidae, of which this genus is the only member. Species are known as wood roaches or brown-hooded cockroaches.
They are subsocial xylophagous insects, found in North America

North America

North America is a continent wholly within the Northern Hemisphere and almost wholly within the Western Hemisphere. It is also considered a northern subcontinent of the Americas...

 and Asia

Asia

Asia is the world's largest and most populous continent, located primarily in the eastern and northern hemispheres. It covers 8.7% of the Earth's total surface area and with approximately 3.879 billion people, it hosts 60% of the world's current human population...

.

There are 9 known species.

Cryptocercus is especially notable for sharing numerous characteristics with termites, and phylogenetic studies have shown that this genus is more closely related to termites than it is to other cockroaches.
Cryptocercus sp., apart from having a common ancestor with termites, have been placed within the Polyphagidae

Polyphagidae

The Polyphagidae is a family of the order Blattaria . Many are known as sand cockroaches. The family is divided into five subfamilies, comprising some 40 genera. One prominent species is the desert cockroach, Arenivaga investigata....

based on molecular analysis, and they are even closer relatives of Therea sp. (Grandcolas, 1996 and later).