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In mathematics, in the field of group theory, a subgroup H {\displaystyle H} of a group G {\displaystyle G} is called c-normal if there is a normal subgroup T {\displaystyle T} of G {\displaystyle G} such that H T = G {\displaystyle HT=G} and the intersection of H {\displaystyle H} and T {\displaystyle T} lies inside the normal core of H {\displaystyle H}.
For a weakly c-normal subgroup, we only require T {\displaystyle T} to be subnormal.
Here are some facts on c-normal subgroups:
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