  We continue our program on classification of holomorphic vertex operator
algebras of central charge $24$. In this article, we show that there exists a
unique strongly regular holomorphic VOA of central charge $24$, up to
isomorphism, if its weight one Lie algebra has the type $C_{4,10}$,
$D_{7,3}A_{3,1}G_{2,1}$, $A_{5,6}C_{2,3}A_{1,2}$, $A_{3,1}C_{7,2}$,
$D_{5,4}C_{3,2}A_{1,1}^2$, or $E_{6,4}C_{2,1}A_{2,1}$. As a consequence, we
have verified that the isomorphism class of a strongly regular holomorphic
vertex operator algebra of central charge $24$ is determined by its weight one
Lie algebra structure if the weight one subspace is nonzero.
