In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebra G 2(2) which is split real form of G2. We give the classification of reducible Verma modules G2. We give also the singular vectors between these modules, thus setting the stage for construction of the invariant differential operators over G 2(2) .Dedicated to I.E. Segal in commemoration of the centenary of his birth. The author remembers with great pleasure the talk he gave at Segal's seminar at MIT in 1975.