Summary: The classification and nonabelian tensor squares of infinite 2-generator groups of nilpotency class 2 is given by {\it N. H. Sarmin} [Int. J. Math. Math. Sci. 32, No. 10, 615-625 (2002; Zbl 1038.20024)]. Let $S$ be the class of type 1 in the classification. We will determine certain homological functors in $S$ such as the exterior square, the symmetric square and the Schur multiplier. {\tt GAP} is used to first compute the homological functors for some specific groups in $S$, and then the functors are generalized.