Subnormal subgroup of finite index

Definition
A subnormal subgroup of finite index in a group is a subnormal subgroup whose index in the whole group is finite.

Stronger properties

 * Weaker than::Normal subgroup of finite index

Weaker properties

 * Stronger than::Join-transitively subnormal subgroup:
 * Stronger than::Subnormal subgroup
 * Stronger than::Sub-(maximal normal) subgroup: Also related:
 * Stronger than::Composition subgroup
 * Stronger than::Subgroup of finite index