  In this paper, we study a class of generalized intersection matrix Lie
algebras $\gim(M_n)$, and prove that its every finite-dimensional semi-simple
quotient is of type $M(n,{\bf a}, {\bf c},{\bf d})$. Particularly, any finite
dimensional irreducible $\gim(M_n)$ module must be an irreducible module of
$M(n,{\bf a}, {\bf c},{\bf d})$ and any finite dimensional irreducible
$M(n,{\bf a}, {\bf c},{\bf d})$ module must be an irreducible module of
$\gim(M_n)$.
