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The query [[Fact about.Page::Cyclic normal subgroup]] was answered by the SMWSQLStore3 in 0.0106 seconds.

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Cyclic normal implies finite-pi-potentially verbal in finite, Cyclic normal implies hereditarily normal, Cyclic normal implies potentially verbal in finite, Cyclic normal is not join-closed, Degree of irreducible projective representation divides index of cyclic normal subgroup, Derived subgroup centralizes cyclic normal subgroup, Every Sylow subgroup is cyclic implies metacyclic