Commen email id using by multiple user : Option in Google mail Managing Multiple Email Accounts

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Commen email id using by multiple user : Option in Google mailManaging Multiple Email Accounts

Hello sir, 

We have recently shifted a email server from Groupware to corporate email account with Google.  There was provision in the GROUP WARE in accessing the emails with common email id by multiple users. 

Since the server shifted to the  Google server,there is a problem in getting the emails while accessing theCommon id with several peoples. Id accessing by 6 - 8 members, where the mails are not reaching to everyone,Rather the first attempter get the mails and rest are not getting.

WeShould find out the solution in find the provision in accessing the mails withHaving common Id , else the separate id to be given..

 Here I would like to seek expert opinion,  whether there is any setting options are there... In access the mails by multiple user with using the common id. 

 Thanks in advance, expecting your earliest reply. 

Thanks

Rajendra Prasad