A semilattice of left groups is called an $\mathcal{SL(LG)}$-type semigroup. For a finite set $X$, the semigroup ${\mathcal T}_X$ of all mappings from $X$ into itself under composition of mappings is called the finite full transformation semigroup. In this paper, we determine all $\mathcal{SL(LG)}$-type subsemigroups, especially all maximal $\mathcal{SL(LG)}$-type subsemigroups, of ${\mathcal T}_X