under the umbrella of; affiliated with; under the jurisdiction of
Used for subsidiaries, branches, or entities that belong to a larger parent organization. Often appears in the pattern 〜の傘下.
That company is under the umbrella of a major corporation.
The newly established subsidiary came under the group's umbrella.
The company came under the umbrella of a major trading house.
The major corporation brought the small manufacturer under its umbrella.
This factory is operated by a company under Sony's umbrella.
独立 means being independent and self-governing, the opposite of being 傘下 (under the umbrella of a larger organization).
傘 literally means 'umbrella,' while 傘下 uses the same kanji figuratively to mean being affiliated with or subordinate to a larger organization.
Compound of 傘 (umbrella) and 下 (under), literally 'under the umbrella'. Figuratively used for entities under the protection or control of a larger organization.