For any discrete isometry group of the sphere, the splitting procedure can be applied to fundamental 2-isohedral tilings of the sphere with disks [1]. As a result we obtain all the fundamental 3-isohedral tilings of the sphere with disks for this group. However some Delone classes may appear several times when doing such a procedure. So in order to get the full classification we have to do the second step that consists in discerning which tilings belong to the same Delone class. But there is no convenient method for doing that. To gain the goal we establish the ordering in the list of obtained tilings and then compare neighboring ones. Each polygonal disk in the tiling has a type written as n1:n2 : : : nr where n1, n2, . . . ,nr refer to the valencies of the vertices in the tiling. Among different possibilities to write the type we choose the one with the smallest number n1n2 : : : nr. For 3 transitivity classes of polygonal disks in the tiling, we write together the 3 types, beginning with the smallest number of edges. Remark that such a type does not determine the whole tiling of the sphere.