Upvote:8
Yes. That's the price, as indicated on a commercial website. Of course, other companies may be more expensive, and it depends where in London you're travelling from - remember, London is big!
A pdf of prices is available and it's worth noting they also mention private taxi for about 125 GBP. However, note that it's just certain companies - DO NOT hop in a Black taxi (the famous London type) and expect to pay this - you'll end up paying up to 3 times that amount!
Best bet - ring the company up, make a booking, and confirm the price.
(possibly better bet - take a National Express bus - they're comfortable, cheap, and may even have wifi - plus you get a better view)