  We present new elements in the identification of the lens-system producing
the 4 images of the BAL quasar H1413+117, based on the recent
HST/NICMOS-2/F160W observations. After a careful PSF subtraction of the 4
images of the quasar, the residual H image reveals the presence of a faint
object (H~20.5) within the region enclosed by the 4 quasar images. This object
corresponds to a single galaxy: the primary lens of the lens-system. We also
identify the galaxies around the Cloverleaf which had been proposed to belong
to a galaxy cluster/group at high redshift (Kneib et al 1998): the other
component in the lens-system that provides the additional "external" shear. For
these galaxies, we have derived a likely redshift based upon their R, I and H
magnitudes. We find that most of them are consistent with belonging to a galaxy
cluster/group with mean redshift <z>=0.9 +/- 0.1. Furthermore we detect 2 very
red objects (I-H~4): the faintest one has no observed optical (R and I)
counterpart, while the brightest has a predicted redshift around z~2, and may
be identified with one of the Cloverleaf absorbers. This gravitational-lens
system constitutes an excellent target for IR imaging/spectroscopy with the new
generation of 8m ground-based telescopes.
