What a shame about that Sigma Kappa opal badge.
AEPhi doesn't have a special chapter president's badge, although of course the president can go buy a president dangle for her badge.
The only AEPhi who gets to wear a different badge is the national president - she wears the Hannah G. Solomon Badge, which is passed down from president to president. Hannah G. Solomon was the founder of the National Council of Jewish Women. Other national officers have a pin (a gold circle with the Greek letters embossed on it) that they wear in addition to their own badge. (I'm starting to smell a new thread idea...
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