  We give a further investigation of the range criterion and Low-to-High Rank
Generating Mode (LHRGM) introduced in \cite{Chen}, which can be used for the
classification of $2\times{M}\times{N}$ states under reversible local filtering
operations. By using of these techniques, we entirely classify the family of
$2\times4\times4$ states, which actually contains infinitely many kinds of
states. The classifications of true entanglement of $2\times(M+3)\times(2M+3)$
and $2\times(M+4)\times(2M+4)$ systems are briefly listed respectively.

Quantum Physics