{
  "aliases": [
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  "body": "\n## Summary\n\nIn group theory, a **metacyclic group** is an extension of a [[cyclic group|0B85Q41RP6]] by a cyclic group. Equivalently, a metacyclic group is a group $G$ having a cyclic [[normal subgroup|0CB0DX5BVV]] $N$, such that the [[quotient|0KYX2N69J0]] $G/N$ is also cyclic.\n",
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