wide acquaintanceship

He obviously developed a wide acquaintanceship among Japan's political leaders, business people and cosmopolitan intelligentsia.

He was a recluse but had a wide acquaintanceship in the 19th century Paris world of arts and letters.

If you have a wide acquaintanceship, you may already know X. Otherwise, latch onto him tightly.

He loved the theater, classical music, and travel, and had wide acquaintanceships in those worlds as well as in sports, journalism and advertising.