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Let ξ be an oriented 8-dimensional vector bundle. We prove that the structure group SO(8) of ξ can be reduced to Sp(2) or Sp(2) · Sp(1) if and only if the vectorbundle associated to ξ via a certain outer automorphism of the group Spin(8) has 3 linearly independent sections or contains a 3-dimensional subbundle. Necessary and sufficient conditions for the existence of an Sp(2)-structure in ξ overa closed connected spin manifold of dimension 8 are also given in terms of characteristic classes

On $Sp(2)$ and $sp(2) \cdot Sp(1)$-structures in 8-dimensional vector bundles