Separate trust_levels from other groups

I wonder how difficult it can be to add grouping to groups page, and what’s the best approach to do it.

Can a theme component be enough or is a custom plugin needed?

With add-ons we have groups on categories, tags and badges but not in groups.

I want to separate trust_levels from other groups because trust_levels are subscription groups on our instance.

So keeping them distinctive is good to motivate users to engage and/or pay for a subscription.

‘Others’ should display admins, mods, team, editors, lurkers and so on.