*Note: *This is the first of “Examples and Counter Examples” series. I plan on expanding such posts in course of time, as I come across examples.

Interesting fact:These are the OEIS lists of number of distinct groups of order n: number of groups,number of abelian groups, number of non-abelian groups

### Examples

- Integers modulo n
- , the symmetric group.
- Any group of order < 4

### Counter-Examples (or Non-Abelian Groups)

- Symmetric groups