Tyler Durden (Brad Pitt)’s Timeline and Summary

We see a few subliminal blips of Tyler before our narrator officially meets him on a plane.
When he gets a call from the narrator asking for a place to stay, Tyler kindly obliges.
But first, they get into a fistfight in the parking lot of a bar. Why? Because Tyler wants to.
This eventually becomes fight club, which Tyler grows without our narrator knowing.
While this is happening, Tyler starts sleeping with Marla Singer and making soap. Not at the same time. We hope.
After Tyler gives our narrator a chemical burn as a form of brand, he upgrades fight club to Project Mayhem.
What is Project Mayhem? The first rule of Project Mayhem is you do not ask about Project Mayhem.
It turns out that Tyler and our narrator are the same person. Yikes.
Tyler tries to stop, um, himself, from stopping his plan to blow up credit card companies, but when our narrator shoots himself in the face, Tyler disappears for good.