  We study a class of exact supersymmetric solutions of type IIB Supergravity.
They have an SO(4) x SU(2) x U(1) isometry and preserve generically 4 of the 32
supersymmetries of the theory. Asymptotically AdS_5 x S^5 solutions in this
class are dual to 1/8 BPS chiral operators which preserve the same symmetries
in the N=4 SYM theory. They are parametrized by a set of four functions that
satisfy certain differential equations. We analyze the solutions to these
equations in a large radius asymptotic expansion: they carry charges with
respect to two U(1) KK gauge fields and their mass saturates the expected BPS
bound.
