  We show that for the spaces of spherical embeddings modulo immersions
$\bar{Emb}(S^n,S^{n+q})$ and long embeddings modulo immersions
$\bar{Emb}_{\partial}(D^n,D^{n+q})$, the set of connected components is
isomorphic to $\pi_{n+1}(SG,SG_q)$ for $q\geq 3$. As a consequence, we show
that all the terms of the long exact sequence of the triad $(SG;SO,SG_q)$ have
a geometric meaning relating to spherical embeddings and immersions.
