In this paper, hyperclone lattice is studied via three kinds of embeddings. One is from the clone lattice on $A$ to the hyperclone lattice on $A$, the second is from the hyperclone lattice on $A$ to the clone lattice on $P(A)\backslash\{\emptyset\}$ and the third one is from the hyperclone lattice on $A'$ to the hyperclone lattice on $A$, for $A'\subset A$ and the finite set $A$. The second map has usually been used for the description of hyperclone lattice, but one can see from this paper that hyperclone lattice on $A$ is in some way thin in the clone lattice on $P(A)\backslash\{\emptyset\}$. However, we show that the first and the third embeddings are full order embeddings and they are used to lift several properties.