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A subgroup H of a group G is said to be permutable subgroup if and only if HK = KH for every subgroup K of G. Certainly, every normal subgroup is permutable. The converse is not true. In this research we will find all permutable subgroups of the groups of order 16. Then, find which subgroup is permutable and not normal.doi:10.12732/ijam.v32i1.10 fatcat:m46mo6hyivblpdx4vowuthuloe