Sample script that searches Active Directory for all the groups that have a name beginning with the characters G-S-Group. The name attribute is replicated to the Global Catalog. This means you can connect to a Global Catalog server and search across the forest for all groups with a specified name.

PowerShell
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$strFilter = "(&(objectCategory=Group)(name=G-S-Group*))"

$objDomain = New-Object System.DirectoryServices.DirectoryEntry

$objSearcher = New-Object System.DirectoryServices.DirectorySearcher
$objSearcher.SearchRoot = $objDomain
$objSearcher.PageSize = 1000
$objSearcher.Filter = $strFilter

$colProplist = "name"
foreach ($i in $colPropList){$objSearcher.PropertiesToLoad.Add($i)}

$colResults = $objSearcher.FindAll()

foreach ($objResult in $colResults)
    {$objItem = $objResult.Properties; $objItem.name}