  The 16 lowest higher spin currents of spins (1, 3/2, 3/2, 2), (3/2, 2, 2, 5/2
), (3/2, 2, 2, 5/2) and (2, 5/2, 5/2, 3) in terms of N=2 WZW affine currents
were obtained in the N=4 superconformal Wolf space coset SU(5)/[SU(3) x SU(2) x
U(1)] previously. By calculating the operator product expansions (OPEs) between
the above higher spin currents which are contained in an extension of large N=4
nonlinear superconformal algebra, the next 16 higher spin currents of spins (2,
5/2, 5/2, 3), (5/2, 3, 3, 7/2 ), (5/2, 3, 3, 7/2) and (3, 7/2, 7/2, 4) are
determined from the right hand sides of these OPEs. Moreover, the composite
fields consisting of both the 11 currents in the large N=4 nonlinear
superconformal algebra and the above 16 lowest higher spin currents also occur
in the right hand sides of these OPEs. The latter appears quadratically (and
linearly) in the fusion rules together with large N=4 nonlinear superconformal
family of the identity operator.
