公共团体

• 八(eight; split in two)RADICAL
• 厶(private; personal)ASSOCIATIVE

Public means sharing your private things with everyone to become shared property.

• 廾(two hands lifting up)ASSOCIATIVE
• 一(one; together)ASSOCIATIVE
• 八(eight)PHONETIC

Two hands lifting an object together convey the meaning of "together" or "shared."

• 囗(surround; outer square frame)RADICAL
• 才(talent; ability (for sound))PHONETIC

A group is many people surrounding each other, pooling their talents and strength together.