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Then let $map(X,Y;f)$ and $map_\\ast(X,Y;g)$ be the path component of $map(X,Y)$ containing $f$ and $map_\\ast(X,Y)$ containing $g$, respectively. In this paper, we compute cohomotopy groups of suspended complex plane $\\pi^{n+m}(\\Sigma^n \\mathbb{C} P^2)$ for $m=6,7$. Using these results, we classify path components of the spaces $map(\\Sigma^n \\mathbb{C} P^2,S^m)$ up to homotopy equivalent. 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