  We present an explicit, exact to all orders in gravitational coupling E7(7)
symmetry transformations of on-shell N=8 supergravity fields in the gauge with
70 scalars in E7(7)/SU(8) coset space, the local SU(8) symmetry being fixed.
The non-linear realization of E7(7) includes a field-dependent SU(8)
transformation preserving the unitary gauge. We find the conserved
Noether-Gaillard-Zumino current of E7(7) symmetry, the linear part of it being
a chiral SU(8) symmetry. We comment on the conformal realization of the E7(7)
algebra which includes a dilatation operator. We hope that these results can be
useful for studies of anomalies/absence of anomalies and the UV behavior of N=8
supergravity.
