Flag of the United States Vice Chief of Naval Operations.  It is a variation on the Chief of Naval Operations flag. It is defined in naval regulations, document NTP 13(B) [1] section 1811, as:

The personal flag of the Vice Chief of Naval Operations consists of a blue and white rectangular background divided diagonally from the lower hoist to upper fly and again diagonally from the upper hoist to lower fly, the upper and lower sections white and the horizontal sections blue. In the center of the flag appears an adaption of the center of the official seal of the Chief of Naval Operations, consisting of an eagle clutching an anchor, all in proper colors, encircled by fifty links of gold chain. Directly above and below, and to each side of the circular center design at the four cardinal compass points, is a 5-point star with one point upward. On the blue field the two stars are white and on the white field the other two stars are blue. For indoor flags a yellow fringe is added.
For more information, see SeaFlags.
Modified from File:US-ChiefOfNavalOperations-Flag.svg
U.S. Government, mostly