In this paper we briefly review the main results obtained in [1], where some algebraic properties of the 'vector supersymmetry' (VSUSY) algebra have been studied. VSUSY is a graded extension of the Poincaré algebra in 4 dimensions with two central charges. We derive all independent Casimir operators of VSUSY and we find two distinct spin-related operators in the case of nonvanishing central charges. One is the analogue of superspin for VSUSY and the other is a new spin, called C-spin, whose value is fixed to 1/2. We also show that the VSUSY algebra and its Casimir operators can be derived by an Inönü-Wigner contraction from OSp(3, 2 |2). This paper is based on the talk given in Varna, Bulgaria, during the 4-th EU RTN Workshop 2008.