CLEVELAND (CBS NEWS) -- The chief executive of a beverage distribution company and his family were among six people on a plane that disappeared overnight shortly after takeoff from Cleveland’s lakeshore airport, his family said Friday. 

The parents of Superior Beverage Company executive John T. Fleming confirmed to multiple media outlets that he was the pilot of the Columbus-bound plane carrying three children and three adults when it vanished from radar late Thursday about 2 miles over Lake Erie. 

Fleming’s father tells The Blade newspaper in Toledo that the other five people on the plane were Fleming’s wife, two teenage sons, a neighbor and the neighbor’s daughter. John W. Fleming also described his son as “an experienced pilot.” 

Crews combing Lake Erie for the plane on Friday remain hopeful that the occupants could be found alive, and they are in search-and-rescue mode, not recovery mode, as they ply waters about 50 feet deep, said Capt. Michael Mullen, the chief of response for the Ninth Coast Guard District. 

Authorities have detected “faint hints” but no strong pulse from an emergency locating transmitter, a beacon that could help find the plane, Mullen said. Searchers have found no sign of debris. 

“We’re very hopeful. We will be very hopeful up until the point that we have to turn the search off and we switch over to assisting with recovery,” Mullen said at news conference Friday. 

But when asked about the possibility of the single-engine jet landing safely on Lake Erie, Mullen said, “Aircraft are not designed to float, especially in 12-foot seas.” 

It was also “unlikely” that the plane landed somewhere else, an experienced helicopter pilot said, CBS Cleveland affiliate WOIO-TV reported.

The search overnight was made difficult by snow squalls, high seas and darkness, Mullen said. Weather prevented smaller Coast Guard boats in the Cleveland area from launching. Weather in the area included 12-15 feet seas with winds around 30 knots, WOIO reported.

A U.S. Coast Guard helicopter and a It would have been the pilot’s responsibility to determine whether it was safe to fly, Mullen said.

Royal Canadian Air Force plane were used along with a Coast Guard ship from Detroit in the search. Searchers used night-vision goggles and some aircraft were able to search for heat signatures, Coast Guard petty officer Christopher Yaw said, WOIO reports. 

The waters in the search area are about 50 feet deep, the Coast Guard said.  

The Federal Aviation Administration said the Cessna Citation 525 plane left Burke Lakefront Airport at 10:50 p.m., and the Coast Guard said it was notified about the missing plane by air traffic control at Burke about 30 minutes later. Investigators from the FAA and National Transportation Safety Board were expected to arrive in Cleveland on Friday. 

The aircraft was headed to Ohio State University Airport northwest of downtown Columbus. The plane is kept at a hangar at the airfield, but the six people aboard the aircraft aren’t affiliated with OSU, Coast Guard representatives said.