Direct product of D8 and Q8

Definition
This group is defined as the uses as intermediate construct::external direct product of defining ingredient::dihedral group:D8 (the dihedral group of degree four and order eight) and defining ingredient::quaternion group (the quaternion group of order eight).

Other descriptions
The group can be constructed using GAP's SmallGroup and DirectProduct functions as:

DirectProduct(SmallGroup(8,3),SmallGroup(8,4))