Several samples of solid solutions RE 16 Rh 11−x Z x (RE = La, Ce, Pr, Nd, Sm; Z = Ga, Zn, Cd, In, Sn, Sb, Pb, Bi) were synthesized by high-frequency melting of the elements in sealed tantalum ampoules. The samples were characterized by powder X-ray diffraction, and the structures of eight compounds were refined on the basis of single-crystal X-ray diffractometer data. The compounds crystallize with a centrosymmetric variant (space group P4/mbm) of the Ca 16 Sb 11 type (P42 1 m). The relation between both structure types is discussed on the basis of a group-subgroup scheme. Only for La 16 Rh 8 Sn 3 we observed full rhodium-tin ordering. The striking structural motif is a chain of face-sharing square prisms (filled with tin) and anti-prisms (filled with rhodium