You can't find the name of who initiated the kick, but you can look at the contacts menu. Chances are if you were kicked for no reason:
- Someone was parsing and decided you weren't good enough, ridiculous in a 24-man alliance.
- Someone checked your gear and decided you were undergeared.
- Someone kicked the wrong person.

If you were in a party where most/all of the players were in their own discord/fc communications channel, that is another possibility, but that still isn't a good reason for a kick.

As for figuring out who, you can check the lodestone of everyone from the last party, and look to see if they're in the same FC/server, or if you suspect parsing, just check the site where they submit their parses to.