How to classify groups of order $6p$ where $p$ is a prime and of the form $p=6\ell+1$, especially $|G|=2022$?

Question

How to classify groups of order $6p$ where $p$ is a prime and of the form $p=6\ell+1$, especially $|G|=2022$?

I found some lists like this one and this one, both show that $|G|=6p$ divides into two cases. I tried the standard ways like the case of 2019 through semi-direct product, but the $2022$ cases seem more complicated.