Getting security permiisions and the groups

Question

I have a script for extracting al ist of uses,and groups from a shared folder
$project_folder = "\\foldername\servername"
Get-Acl $project_folder | 
    ForEach-Object { 
        $_.Access | Add-Member -MemberType NoteProperty -Name Path -Value $_.Path -PassThru  
    } | 
    ft -GroupBy Path -Property IdentityReference, AccessControlType, FileSystemRights > foldertst.csv
It lists all the users and groups under security tab, but the problem is that it does not show the full  sg name.
Eg. if sg name is aa_bb_c#def_fgt_gr_rw. it'll only show aa_bb_c#def_f....
how do i get the full group name.
Also is it possible to get a list of members who are a part of the security group?
Eg. if i run the code it tells me that aa_bb_c#def_fgt_gr_rw has RW access under security.
Is it possible to incorporate a code that will not only give me the lists of all the groups and users having access to \\servername\foldername but also the users who are a part of aa_bb_c#def_fgt_gr_rw and all the groups listed in the folder?

Answer 1

I do not need a list of members from the nested group. 
Eg. if the group aa_bb_c#def_fgt_gr_rw has a nested group bb_bb_c#def_fgt_gr_rw.
i do not need the list of members from bb_bb_c#def_fgt_gr_rw
group only aa_bb_c#def_fgt_gr_rw group