AbstractFollowing upon a previous paper [1] on the existence of chiral transformations in a foliated version of the Cremmer, Julia and Scherk model, we deduce a couple of interesting properties of the model. These are:(i) TM4 is isomorphic to a quotient Lie pseudoalgebra on the algebra of basic functions in M11;(ii) There is a locally trivial fibration which exhibits M11 as M7 × U, U ⊂ W and W is the basic manifold of the foliation [5](iii) The chiral group of the model is identified as Clx (L, gL) × Clx (Q, gQ), the factors are respectively the multiplication groups of units in the Clifford algebras Clx (L, gL) and Clx (Q, gQ) and matching of this group with phenomenology is briefly discussed.