Correct. I was thinking it was part of India under British rule, but it was not. It was a separate client state under British influence, but separately governed and at least nominally independent.
Indian troops did, however, fight in Burma and North Africa and Italy.
yeah indians fought on both sides in North africa, Europe and South East Asia. Indian troops earned a really bad reputation in France for adopting a scortched earth policy and rapes when they retreated from the allied advance.