Hi, sirgroiney.
Welcome to the Apple Support Communities. We’re glad you decided to reach out about migrating to your new iPhone. Were you able to get your data transferred?
If not, try forcing your iPhone 11 to restart.
Force restart iPhone - Apple Support
When it comes up again, if the migration was unsuccessful, make sure you’re following the guidance outlined in the “How to use iPhone migration” here:
Use Quick Start to transfer data to a new iPhone, iPad, or iPod touch - Apple Support
Note that you need to make sure both devices are connected to power and they stay near each other. Depending upon your connection type, network conditions, and the amount of data on your iPhone 6, it can take awhile for the data to transfer.
All our best.