Z2 x Z2 generalizations of N=1 superconformal Galilei algebras and their representations

We introduce two classes of novel color superalgebras of Z(2) x Z(2) grading. This is done by realizing members of each class within the universal enveloping algebra of the N = 1 supersymmetric extension of the conformal Galilei algebra. This allows us to upgrade any representation of the super conformal Galilei algebras to a representation of the Z(2) x Z(2) graded algebra. As an example, bosonfermion Fock space representation of one class is given. We also provide a vector field realization of members of the other class by using a generalization of the Grassmann calculus to Z(2) x Z(2) graded setting.