What was the name of the Oxford club Tolkien shared with C.S. Lewis?

The Oxford literary group Tolkien shared with C.S. Lewis was called The Inklings.

The Inklings were an informal discussion and reading group associated with Oxford University. Members met mainly at The Eagle and Child pub, known to them as the Bird and Baby, and in college rooms. Tolkien and C.S. Lewis were among the best-known participants, but the group also included writers and academics such as Charles Williams and Owen Barfield.

Members read drafts of their own work aloud and discussed literature, religion, language, and ideas. Tolkien read portions of The Lord of the Rings to the group while the work was being developed. The meetings were social as well as intellectual, and they helped create a setting in which ambitious imaginative writing could receive immediate reactions from trusted friends.

The Inklings were not a formal university society with a fixed membership or constitution. Their importance comes from the influence of sustained conversation on major twentieth-century fantasy and Christian literary writing.