# Category:Subgroup metaproperty dissatisfactions

From Groupprops

*This category lists examples of metaproperty dissatisfactions for subgroups; in other words, it gives situations where a given subgroup property does not satisfy a given subgroup metaproperty*

## Pages in category "Subgroup metaproperty dissatisfactions"

The following 76 pages are in this category, out of 76 total. The count *includes* redirect pages that have been included in the category. Redirect pages are shown in italics.

### 2

### A

### C

- Central factor is not finite-intersection-closed
- Central factor is not finite-join-closed
- Central factor is not quotient-transitive
- Characteristicity does not satisfy image condition
- Characteristicity does not satisfy intermediate subgroup condition
- Characteristicity does not satisfy lower central series condition
- Characteristicity is not finite direct power-closed
- Characteristicity is not finite-relative-intersection-closed
- Characteristicity is not upper join-closed
- Cofactorial automorphism-invariance is not transitive
- Conjugacy-closedness is not join-closed
- Conjugacy-closedness is not upper join-closed
- Cyclic normal is not join-closed

### D

### E

### F

### I

### L

### N

### P

- Panferov Lie group for 5
- Permutability is not finite-intersection-closed
- Permutability is not transitive
- Permutability is not upper join-closed
- Permutably complemented does not satisfy transfer condition
- Permutably complemented is not finite-intersection-closed
- Permutably complemented is not transitive
- Powering-invariance does not satisfy intermediate subgroup condition
- Powering-invariance is not commutator-closed
- Powering-invariance is not finite-join-closed
- Powering-invariance is not quotient-transitive
- Procharacteristicity is not finite-join-closed
- Pronormality does not satisfy transfer condition
- Pronormality is not centralizer-closed
- Pronormality is not commutator-closed
- Pronormality is not finite-intersection-closed
- Pronormality is not finite-join-closed
- Pronormality is not finite-upper join-closed
- Pronormality is not permuting join-closed
- Pronormality is not transitive