These straps belong to astronaut Ed White's Gemini period G-4-C spacesuit.
The G-4-C spacesuit was designed for and worn by Ed White during his historic "walk in space" in June 1965. The EVA was the first by an American astronaut and lasted approximately 21 minutes.
The David Clark Company constructed the spacesuit and named it G-4-C. The G-4-C EVA suit was composed of 21 layers (including the cotton undergarment), as opposed to the 4 layers of the G-3-C suit. The spacesuit was developed by the Manned Spaceflight Center, Crew Systems Division, and designed and constructed by the David Clark Company of Worcester, Massachusetts, incorporating B.F. Goodrich helmet and gloves.
NASA transferred this straps to the Museum in 1967.
This object is not on display at the National Air and Space Museum. It is either on loan or in storage.