Mixing Qt and plain old C-style OpenGL?

[Publicnamer]

I want to have a separate OpenGL window.
Is it necessary to use Qt's API for OpenGL to create that and manage the event loop, or can I:

1. forked into a separate process
2. use GLUT to create a new window and to manage the event loop for the new GL window
3. and then use plain old OpenGL C calls?