Extractor fan hole

I need to drill a 52cm hole in a wall for an extractor fan. I have a Titan TTB278SDS SDS drill.The wall is approx 50cm thick. Question is, will this drill be suitable as I can buy an Erbauer 52cm core bit but the Arbor would not be long enough to go through the wall. If the Titan drill is suitable, is there an arbor available that is long enough? If the Titan drill isn't suitable, what is?

Thanks

Brian