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According to Federal Motor Carrier Safety Administration records, Sky Express buses have been involved in four crashes, with an injury or fatality — it didn’t specify which — during the two-year period that ended May 20. It also has been cited for 46 violations of drivers being fatigued over that same time, ranking it worse than 86 percent of similar companies in that category.

The driver in Tuesday’s fatal crash, Kin Yiu Cheung, was charged with reckless driving and police say his fatigue was a factor. Cheung, 37, of Flushing, N.Y., was released from an area jail Tuesday night on bond and is scheduled to appear in court on Friday.

The bus departed Greensboro, N.C., on Monday night and was headed to Chinatown in New York City with 59 people aboard.

Virginia State Police on Wednesday identified those killed in the crash as Karen Blyden-Decastro, 46, of Cambria Heights, N.Y.; Sie Giok Giang, 63, of Philadelphia; Josefa Torres, 78, of Jamaica, N.Y.; and Denny Estefany Martinez, 25, of Jersey City, N.J.

About 20 people remained hospitalized Wednesday, some of which were still in intensive care, said Virginia State Police spokeswoman Corinne Geller.

The company offered its condolences to the families of the four women killed and said it would cooperate fully in the investigation.

“This is the first serious accident” involving Sky Express buses, the company said in a statement. “The bus driver has never before been involved in an accident.”

Gail Parenteau, a spokeswoman for Sky Express, also said the company had suspended service on almost all of its buses as soon as it learned of the accident.

The company’s drivers have been cited for 17 unsafe-driving violations, including eight for speeding, since 2009, according to a report by federal officials. It received a 62.9 percent rating, meaning it performed worse than nearly 63 percent of comparable transportation companies.

Other recent crashes, including one involving another company in March that killed 15 people returning to Chinatown from a Connecticut casino, demonstrate that the bus industry won’t take essential steps to protect passengers’ safety unless required by the government, the Senate sponsor of a bipartisan bus safety bill said.

Sen. Sherrod Brown, Ohio Democrat, and Sen. Kay Bailey Hutchison, Texas Republican, have been trying for three years to pass a bus safety bill that would require better training for drivers, seat belts and stronger bus roofs that aren’t easily crushed or sheared off to prevent passengers from being ejected in a rollover and to ensure they have enough space inside to survive. The Sky Express bus had no passenger seat belts; only the driver had a seat belt.

The federal Department of Transportation also has proposed requiring buses to have electronic on-board recorders to replace easily falsified paper records of driver hours. The proposals also would make it easier to revoke drivers’ commercial licenses following violations.

— Associated Press writer Joan Lowy in Washington contributed to this report.