# Category:Automorphism property implications

This category lists important implications between properties over the context space: automorphism. That is, it says that every automorphism satisfying the first automorphism property also satisfies the second

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## Pages in category "Automorphism property implications"

The following 22 pages are in this category, out of 22 total. The count *includes* redirect pages that have been included in the category. Redirect pages are shown in italics.

### C

### E

### F

- Finite solvable-extensible implies inner
- Finite-extensible implies class-preserving
- Finite-extensible implies Hall-semidirectly extensible
- Finite-extensible implies inner
- Finite-extensible implies subgroup-conjugating
- Finite-quotient-pullbackable implies class-preserving
- Finite-quotient-pullbackable implies inner