  We generalize a result of the author about the classification of 1-connected
7-manifolds and demonstrate its use by two concrete applications, one to
2-connected 7-manifolds (a new proof -- and slightly different formulation --
of an up to now unpublished Theorem by Crowley and Nordstroem and one to simply
connected 7-manifolds with the cohomology ring of $S^2 \times S^5 \sharp S^3
\times S^4$. The answer is in terms of generalized Kreck-Stolz invariants,
which in the case of 2-connected 7-manifolds is equivalent to a quadratic
refinement of the linking form and a generalized Eells-Kuiper invariant.
