Guelzow [8] and similarly Armanious [1] [2] gave generalized doubling constructions to construct nilpotent subdirectly irreducible SQS-skeins and sloops. In [5] the authors have given recursive construction theorems as n ! 2n for subdirectly irreducible sloops and SQS-skeins, these constructions supplies us with a subdirectly irreducible sloop of cardinality 2n satisfying that the cardinality of the congruence class of its monolith is equal to 2. In this article, we give a construction for subdirectly irreducible sloops of cardinality n2m having a monolith with a congruence class of cardinality 2m for each integer m > 2. This construction supplies us with the fact that each sloop is isomorphic to the homomorphic image of the constructed subdirectly irreducible sloop over its monolith.