![Matt Macauley on Twitter: "Let's summarize the groups of order 8. Notice our "rule of thumb": --Lots of elements of small order => lots of subgroups. --Few elements of small order => Matt Macauley on Twitter: "Let's summarize the groups of order 8. Notice our "rule of thumb": --Lots of elements of small order => lots of subgroups. --Few elements of small order =>](https://pbs.twimg.com/media/FLv3AL0VUAEEp0v.png)
Matt Macauley on Twitter: "Let's summarize the groups of order 8. Notice our "rule of thumb": --Lots of elements of small order => lots of subgroups. --Few elements of small order =>
![abstract algebra - Finding generators from lattice of subgroups of a group - Mathematics Stack Exchange abstract algebra - Finding generators from lattice of subgroups of a group - Mathematics Stack Exchange](https://i.stack.imgur.com/UZHGu.jpg)
abstract algebra - Finding generators from lattice of subgroups of a group - Mathematics Stack Exchange
![abstract algebra - How to draw the subgroup diagram of $\Bbb{Z}_n$ for specific n? - Mathematics Stack Exchange abstract algebra - How to draw the subgroup diagram of $\Bbb{Z}_n$ for specific n? - Mathematics Stack Exchange](https://i.stack.imgur.com/N9QPp.jpg)