The task is to separate tumours built from nerve cells from one built from supporting glial cells. Three of the listed lesions trace their lineage to neurons or their precursors: a gangliocytoma is a mass of well-differentiated ganglion cells, a ganglioglioma blends neoplastic ganglion cells with a glial stroma yet still carries a clear neuronal element, and a neuroblastoma springs from immature neuroblasts that are committed to the neuronal line. The odd one out is the ependymoma, which grows from the ependymal lining of the ventricular system; these lining cells are members of the glial family rather than the neuronal family, so the tumour is grouped among the gliomas. Since the question asks for the non-neuronal entity, the answer is the ependymoma. \[\boxed{\text{Ependymoma}}\]