I'm not sure what you mean by "ordered a plastic green card" but I will guess that you have recently entered the US after inspection with CBP. You probably received an I-551 stamp in your passport. You should also have gone online at the CIS website and paid a processing fee. Once that is done, you can expect your green card to arrive at the address you proved within a few weeks. You can track your card status on the site.
You cannot simply "order" a green card. USCIS orders the production of your card. It is not clear what kind of case you had. If It was a renewal, you should be able to track the green card online.
This answer is for informational purposes only and should not be construed as legal advice.
Generally between 2 to 12 weeks depending on your category. Schedule an INFOPASS in September if you haven't received it by then or contact a US immigration attorney for assistance.
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