2006 LT Rad fan not working

I have an 06 cobalt that the rad fan is not running. I have replaced the sensor on the air compressor and the coolant temp sensor and the thermostat( thought I may as well change that as I had to let coolant out to change the coolant sensor. The rad fan runs if you jump the relays or if you unplug the coolant temp sensor( the latter is what a mech at a garage that does air conditioning at told me to do to check fans and wiring) .He also told me to try it with the heater on defrost and it came on but once only. I changed the sensor on the air compressor because the fan was not starting and the air charge was at the low end of the normal range and I charged the air to the upper part of its range and the fan came on( one time only) so I figured the switch on the sensor was sticky. The fuses are all good in the fuse panel as are the relays. The car has 195000km on it and I thought it should have some life left in it but now I am beginning to wonder. I am not sure what to change next - possibly the heater controls or something - the heater blower motor works on all speeds. Has anyone had the same symptoms and found the solution as I am getting both tired and poor buying parts? Thanks .... John

With the A/C running you should have at least one fan running. What temperature is the car saying the coolant is getting up to? It doesn't come on until something like 210*F

The air is no longer working as I think the rad fan needs to work for the air but not positive . Bought a parts car and going to change out the air compressor if there is juice going to it and compressor not starting. Got sidetracked and haven't got anything else done with it yet. There seems to be varying numbers in what folks think the rad fan should come on for cooling but it has yet to overheat so I suspect that the 100-105c readings I have been getting may not be hot enough to make it start but when my daughter had the car the coolant temp indicator never read over 100 so its kinda got me puzzled. I did put new dexcool in it when I had the thermostat and temp sensor out

YelloEye said:

With the A/C running you should have at least one fan running. What temperature is the car saying the coolant is getting up to? It doesn't come on until something like 210*F

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There is just one fan in this car I think that has two speeds and two relays

The interior HVAC fan is entirely separate from the radiator fan, should function regardless.

Ah right, I always forget that the non-SS models just have the single fan.