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Suppose H ≤ K ≤ G {\displaystyle H\leq K\leq G} are groups such that H {\displaystyle H} is a normalizer-relatively normal subgroup of K {\displaystyle K} relative to G {\displaystyle G} , and K {\displaystyle K} is a CDIN-subgroup of G {\displaystyle G} . Then, H {\displaystyle H} is a CDIN-subgroup of G {\displaystyle G} .
