itanladapo,
your question is not clear. The employee shouldn’t have the Company card. Only COMPANY can have it. So your question doesn’t make any sense! Now. If you are under sponsorship of the company whose Card is expired, and you WORK for them, it’s not a problem, they simply have to renew the Card, otherwise no any immigration transaction can be performed by this company (such as exit permit, visas, etc.). Now. If you have an RP under company which you DON’T work for, THIS is ILLEGAL, and that’s why you CAN be deported!  

ishu369, you are wrong!
RP under company sponsorship is given to the person who WORKS for this company.
ONLY! Otherwise it is illegal. Once the employee quit/terminated, the company
MUST either cancel his/her RP or to transfer sponsorship under another company!
So YOUR response is incorrect! 

coxtown_rajan,
YOUR answer is incorrect too, as you are talking about personal Qatari ID card,
which has nothing to do with the question. 

naruto427,
you are saying nonsense as well. Company card IS NOT a work permit! What the hell
is THAT supposed to mean? You also mix Family sponsorship and Company sponsorship. YOUR answer is as silly as two previous ones!

itanladapo,
my answer to you: you MIGHT be deported because some Company has issue the
illegal RP for you, and you don’t work for this company, and moreover, it looks
like this company got blacklisted, or doesn’t exist anymore. You are in
trouble, man! WHO will issue an exit permit for you, once you want to travel,
since this company has no ID card??