  In a setup of type IIB superstring compactification on an orientifold of a
${\mathbb T}^6/{\mathbb Z}_4$ sixfold, the presence of geometric flux
($\omega$) and non-geometric fluxes ($Q, R$) is implemented along with the
standard NS-NS and RR three-form fluxes ($H, F$). After computing the F/D-term
contributions to the ${\cal N}=1$ four dimensional effective scalar potential,
we rearrange the same into `suitable' pieces by using a set of new generalized
flux orbits. Subsequently, we dimensionally oxidize the various pieces of the
total four dimensional scalar potential to guess their ten-dimensional origin.
