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We present new explicit realizations of the most general N=4, d=1superconformal symmetry D(2,1;\alpha) in the models of N=4 superconformalmechanics based on the reducible multiplets (1,4,3)\oplus(0,4,4),(3,4,1)\oplus(0,4,4) and (4,4,0)\oplus(0,4,4). We start from the manifestlysupersymmetric superfield actions for these systems and then descend to therelevant off- and on-shell component actions from which we derive theD(2,1;\alpha) (super)charges by the Noether procedure. Some peculiarities ofthese realizations of D(2,1;\alpha) are discussed. We also construct a newD(2,1;\alpha) invariant system by joining the multiplets (3,4,1) and (4,4,0) insuch a way that they interact with each other through an extra (0,4,4)multiplet. New fermionic conformal couplings appear as the result ofelimination of the appropriate auxiliary fields.

New realizations of the supergroup D(2,1;\alpha) in N=4 superconformal mechanics