  It is well known that three-qubit system has two kind of inequivalent genuine
entangled classes under stochastic local operation and classical communication
(SLOCC). These classes are called as GHZ class and W class. GHZ class proved to
be a very useful class for different quantum information processing task such
as quantum teleportation, controlled quantum teleportation etc. In this work,
we distribute pure three-qubit states from GHZ class into different subclasses
denoted by $S_{1}$, $S_{2}$, $S_{3}$, $S_{4}$ and show that the three-qubit
states either belong to $S_{2}$ or $S_{3}$ or $S_{4}$ may be more efficient
than the three-qubit state belong to $S_{1}$. Thus, it is necessary to
discriminate the states belong to $S_{i}, i=2,3,4$ and the state belong to
$S_{1}$. To achieve this task, we have constructed different witness operators
that can classify the subclasses $S_{i}, i=2,3,4$ from $S_{1}$. We have shown
that the constructed witness operator can be decomposed into Pauli matrices and
hence can be realized experimentally.
