The device is a Sony cdx gt207x but I don't have the front part of it, but I know that everything is working, except the AM/FM. My interest is to only the auxiliary channel but I don't know if it's possible to turn on theses components without the front part of it. (I'm a beginner in electronics)It looks like that BIG IC is already part of something. If it is already part of some device that includes it as an amplifier then it makes a lot more sense to use it that way. Consider that most of those 38 leads serve some purpose, unless you are incredibly skillful it will be much simpler to use the amplifier portion of whatever it is in now as the amplifier for the Sony toy.
Do you even have any information about that TDA8588 device??