A bstract We explore a variety of composite topological structures that arise from the spontaneous breaking SO(10) to SU(3) c × U(1) em via one its maximal subgroups SU(5) χ , SU(4) SU(2) L R and X (also known as flipped SU(5)). They include i) network ℤ strings which develop monopoles turn into necklaces with structure 2 strings, ii) dumbbells connecting two different types monopoles, or antim...