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| Intermediate notions between [[characteristic subgroup]] and [[subhomomorph-containing subgroup]] | Intermediate notions between [[characteristic subgroup]] and [[subhomomorph-containing subgroup]]# |
|---|---|
| Fully invariant subgroup | Fully invariant subgroup |
| Homomorph-containing subgroup | Homomorph-containing subgroup |
| Intermediately fully invariant subgroup | Intermediately fully invariant subgroup |
| Isomorph-containing subgroup | Isomorph-containing subgroup |
| Normal-homomorph-containing subgroup | Normal-homomorph-containing subgroup |
| Normal-subhomomorph-containing subgroup | Normal-subhomomorph-containing subgroup |
| Right-transitively isomorph-containing subgroup | Right-transitively isomorph-containing subgroup |
| Sub-homomorph-containing subgroup | Sub-homomorph-containing subgroup |
| Subisomorph-containing subgroup | Subisomorph-containing subgroup |
| Transfer-closed fully invariant subgroup | Transfer-closed fully invariant subgroup |
