  Pseudo $H$-type Lie algebras are a special class of 2-step nilpotent metric
Lie algebras, intimately related to Clifford algebras $\Cl_{r,s}$. In this work
we propose the classification method for integral orthonormal structures of
pseudo $H$-type Lie algebras. We apply this method for the full classification
of these structures for $r\in\{1,\ldots,16\}$, $s\in \{0,1\}$ and irreducible
Clifford modules. The latter cases form the basis for the further extensions by
making use of the Atiyah-Bott periodicity. The existence of integral structures
gives rise to the integral discrete uniform subgroups of the pseudo $H$-type
Lie groups.
