Hello. I don't remember starting the main story or anything yet. I've only been to Sol, Carse and Sirius galaxies. Does a main story start at some point? Please, no spoilers, just wondering if maybe I started it and forgot where I was supposed to go already (before I started writing down the details). Thanks!

The story is the over arching plot of the Civil War between the four(Maybe five is you start your own side) factions in the galaxy, with the flavor text of battles to give it an interesting feel. Beyond that, Exploring Planets(The button below the picture of the planet when you land), gives you some side stories, but there is no 'main quest' or anything of that sort sadly. It's just a go till some faction, hopefully yours, controls 16 systems in the Galaxy

Oh, okay. Thanks for clearing that up.