You can save your Groove contact as a file, and then send it as a file attachment in an email.
Select Options - Preferences, and click the Identities tab.
Select the identity you want to export from the Identities drop-down menu.
Click Save this Contact as File....
Do the following in the Save Contact Info As... dialog box:
Enter a file name (or accept the default).
Select a destination directory.
Click Save.
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