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In mathematics, in the field of group theory, a subgroup of a group is called c-normal if there is a normal subgroup of such that and the intersection of and lies inside the normal core of . For a weakly c-normal subgroup, we only require to be subnormal. Here are some facts on c-normal subgroups: * Every normal subgroup is c-normal * Every retract is c-normal * Every c-normal subgroup is weakly c-normal
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