I guess you could do this. I think you need to do abit more work with this really if you want to output the group name – perhaps put the details into a hashtable and then output that?
$group = 'Project_Name'
Get-ADGroupMember -Identity $group | Get-ADUser -Properties name, description, Created, lastlogon, $group | ConvertTo-Csv | out-file C:\Temp\test.csv