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We continue the study of irreducible representations of the exceptional Liesuperalgebra E(3,6). This is one of the two simple infinite-dimensional Liesuperalgebras of vector fields which have a Lie algebra sl(3)\times sl(2)\timesgl(1) as the zero degree component of its consistent ZZ-grading. We provide theclassification of the singular vectors in the degenerate Verma modules overE(3,6), completing thereby the classification and construction of allirreducible E(3,6)- modules that are L_0-locally finite.

REPRESENTATIONS OF THE EXCEPTIONAL LIE SUPERALGEBRA E(3,6) III: CLASSIFICATION OF SINGULAR VECTORS