An ancient ceremonial crown, a flat board with hanging jade beads worn by rulers. Common in 冠冕 and the set phrase 冠冕堂皇, which means impressive on the surface but hollow inside.
Components
radical
冃mào
headgear; hat-cover
Top hat-cover element, the indexing radical here (filed under the cover radical). It pictures a head covering, fixing the core meaning: something worn on the head. The 免 below carries the sound.