Question: What class of ship is the destroyer named after this lieutenant commander embarked on the sixth aircraft carrier of the United States Navy and killed in action?

USS "Hayter" (DE-212/APD-80), a "Buckley"-class destroyer escort of the United States Navy, was named in honor of Lieutenant Commander Hubert M. Hayter (1901–1942), who was killed in action, while serving aboard the cruiser USS "New Orleans" during the Battle of Tassafaronga on 30 November 1942.  Lieutenant Commander Hayter was serving as damage control officer when "New Orleans" received a torpedo hit, and as Central Station, his battle post, filled with asphyxiating gas he ordered all men without masks to leave the compartment giving his own to a partially stricken seaman.  After clearing the compartment of all personnel, Lt. Cmdr. Hayter was finally overcome by the fumes.  For this extraordinary act of heroism he was posthumously awarded the Navy Cross. <SEP> USS "Douglas H. Fox" (DD-779) an "Allen M. Sumner"-class destroyer , was named in honor of Lieutenant Commander Douglas H. Fox, the commanding officer of the destroyer USS "Barton" , who went down with his ship when she was torpedoed and sunk in the naval battle of Guadalcanal on 13 November 1942.  Fox was posthumously awarded the Navy Cross for his contribution to the defeat of a superior enemy force in this battle, and was later awarded a Gold Star in lieu of a second Navy Cross for earlier actions on 26 and 30 October and 3 November, when he rescued survivors of the aircraft carrier USS "Hornet" under hazardous conditions. <SEP> USS "Enterprise" (CV-6), was the seventh U.S. Navy vessel to bear the name.  A "Yorktown"-class carrier, she was launched in 1936 and was one of only three American carriers commissioned before World War II to survive the war (the others being "Saratoga" and "Ranger" ).  She participated in more major actions of the war against Japan than any other United States ship.  These actions included the Attack on Pearl Harbor (18 dive bombers of VS-6 were over the harbor, 6 were shot down with a loss of eleven men, making her the only American Aircraft carrier with men at Pearl Harbor during the Attack and the first to receive casualties during the Pacific War), the Battle of Midway, the Battle of the Eastern Solomons, the Battle of the Santa Cruz Islands, various other air-sea engagements during the Guadalcanal Campaign, the Battle of the Philippine Sea, and the Battle of Leyte Gulf.  "Enterprise" earned 20 battle stars, the most for any U.S. warship in World War II, and was the most decorated U.S. ship of World War II, She is also the first American ship to sink an enemy vessel during the Pacific War, the sole surviving pilot of the six planes shot down over Pearl Harbor sank Japanese submarine I-70 on 10 December 1941.  On three occasions during the Pacific War, the Japanese announced that she had been sunk in battle, resulting in her being named "The Grey Ghost".  Colloquially called "the Big E", she was the sixth aircraft carrier of the United States Navy. <SEP> USS "Hopping" (DE-155/APD-51), a "Buckley"-class destroyer escort of the United States Navy, was named in honor of Lieutenant Commander Hallsted L. Hopping, commanding officer of Scouting Six, embarked on the USS Enterprise, killed in action during the February 1, 1942 Marshall Islands Raid.  LCDR Hopping was the first U.S. Navy aircraft squadron commander to lose his life in World War II.