Ten others were injured in the attack, including four conscripts, one civilian employee and five civilians, according to the official statement.
However, a medical source had earlier, unofficially reported eight deaths and nine injuries.
The source said there were three police officers and three civilians among the dead. Body parts of two other deceased were also pulled from the blast site. They are believed to belong to the suicide bomber and a companion.
Five civilians and four policemen were injured in attack, the source said.
A security source, who declined to be named, said that the suicide bomber took advantage of stormy weather and heavy rain to get close to the site unnoticed.
Several buildings around the area were damaged due to the severity of the explosion.
The Islamic State terrorist network has claimed responsibility for the attack.
The group said in a statement circulated on Twitter that a successful operation conducted by “mayrtr Abu Aesha al-Masry” managed to detonate a car bomb outside the club.
“More [attacks] are waiting for them,” the statement said.
The group claimed the attack came in retaliation for the government’s arrests of tribal women in North Sinai.
The statement could not be independently verified by dpa.
Security troops in the largely desert Sinai peninsula have come under repeated attacks from hardline jihadists since the 2011 uprising that toppled long-time dictator Hosny Mubarak.
The extremists stepped up their attacks after the military deposed Islamist president Mohammed Morsi in 2013, killing scores of security personnel.
The violence has mostly occurred in northern Sinai, prompting authorities to set up a kilometre-deep buffer zone there along the Gaza border.