You will need any one of the following Fermi or Kepler based GPUs to get access to all the OpenGL 4.4 and GLSL 4.40 functionality:

The extensions listed below are part of the OpenGL 4.4 core specification, but they can also be used in contexts below OpenGL 4.4 on supported hardware:

The OpenGL 4.4 and GLSL 4.40 specifications, and all ARB extension specifications, can be downloaded here:https://www.opengl.org/registry/