Suppose that the rank two tensor $C_{ij}=10$ is an antisymmetric representation of SU(5) group and $24$ is the adjoint representation which written as rank two tensor $D_{kl}=24$
I understand that the tensor product of $10⊗24=C_{ij}⊗D_{kl}$ can be decomposed under SU(5) group as a sum $$10⊗24=10⊕15⊕40⊕175$$
but I don't know how to write the sum $10⊕15⊕40⊕175$ in term of tensors $C_{ij}⊗D_{kl}$?