Is there a shuttle from Avalon Airport to Melbourne city center?

I have a question, how can I find a minibus transfer? We are traveling with a group of five people and will be arriving at Avalon Airport at 5 a.m. We need to get to a hotel in central Melbourne. We can't all fit in a taxi, and it will probably be more expensive. Especially since we have a lot of luggage. Are there any minibus transfers available at a reasonable price?