How can I determine the the Wiring Configuration of an LVDT sensor?
One pair of wires will bt the primary and no be galvanically connected to the other four wires. Use a multimeter to confirm which they are.

Set up an oscillator on that winding and debug the other wires as per the signal you get from them. The centre tap to one end should give X volts when the armature is central. Ditto centre tap to the other end AND you should get 2X volts across the two ends.

The 6th wire is probably a screen.