A relief charter flight of Daallo Airlines landed from Mogadishu (Somalia) via Muscat as a ferry flight on Saturday at 9.30 am and departed two hours later with the 128 passengers to Somalia via Muscat.
The group was forced out of the Somali capital in 2011 but still controls parts of the countryside and has also staged attacks in neighbouring Kenya.
The Somalia-based al-Shabab extremist group quickly claimed responsibility for the attack.
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"Somalia Federal government confirmed that 276 people were killed in the blast... and 300 wounded were admitted at the different hospitals in Mogadishu," the country's ministry of information said.
"In our 10 year experience in Mogadishu, we haven't seen anything like this," the Aamin Ambulance service tweeted.
Somalia's Information Minister, Abdirahman Omar, said the blast was the largest the city of Mogadishu had ever seen.
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"The number of casualties we have recorded today is 28 dead and 43 wounded," said Dr Abukadir Abdirahman Adem, head of the ambulance service.
Heavy gunfire could still be heard inside the hotel, Hussein said. He had no immediate information about casualties.