One of the standard methods of investigating algebraic structures like Groups, Rings, Modules and Lie Algebras is by constructing them with the help of given algebraic structure of smaller order/dimension and by using the properties of latter's, one can obtain the necessary facts about the former's. In fact such constructions like direct products and semidirect products can be found in the fundamentals of Theory of Abstract Algebra. Other constructions proving their own significance include generalized direct products which were introduced by B.H. Neumann and H. Neumann [1]. If on one hand generalized direct products behave almost like direct products, then on the other hand situation is somewhat complicated. The present article is devoted to demonstrate one of the reasons of such complicated behaviour of generalized direct products.