It's not easy to find sales for this Gulf state. Most of them are there and it gives an insight into the nation. The Sultanate of Oman has a population of about 4.4 million and has as its capital Muscat. The average standard of living is quite high so the car buying is in reasonably good numbers.
Toyota has about half of the total sales, with Nissan nearly 1 in 5 cars sold. That's about two thirds between those two brands. Add Lexus and it gets even more dominating. Hyundai and Kia are also established but beyond that the pickings are pretty lean.
If you want to get a taste of Oman, try this video.