I figured it out on my own using a simple test application:
F5 = Search = 16 91 132 = VK_SHIFT + VK_LWIN + VK_F21
F6 = Share = 18 91 132 = VK_MENU + VK_LWIN + VK_F21
F7 = Devices = 17 91 132 = VK_CONTROL + VK_LWIN + VK_F21
F8 = Settings = 91 132 = VK_LWIN + VK_F21
F9 = Display switch = 17 91 8 = VK_CONTROL + VK_LWIN + VK_BACK
F10 = Flip3D
F11 = Horizontal display orientation = 18 91 133 = VK_MENU + VK_LWIN + VK_F22
F12 = Vertical display orientation = 17 91 134 = VK_CONTROL + VK_LWIN + VK_F23
F10 invokes Flip3D on Windows 7, so without installing a keyboard hook I can not figure out what key combination is triggered.