Not meaning to intrude, but inCircle likes to use the general term alumnae (took a while to get it changed from Alumni to Alumnae so we take it as we can get it!). I dont' know how AXiD has theirs set up, but AOII mentions Alumnae but is open to ALL initiated AOIIs. InCircle has been predominantly marketed to colleges but there are a growing number of GLOs that use the site - we LOVE it! You are able to set up groups for chapters, interests, etc.
Have fun!