The picture below shows a larger front and back view of this U.S. President Rutherford B. Hayes Inauguration Medal Coin. The medal is made of a gold colored metal that is probably brass or bronze. One side has an image of Rutherford B. Hayes, and the other side has a wreath. It is marked on the two sides as follows:
RUTHERFORD B. HAYES
PRESIDENT OF THE UNITED STATES INAUGURATED MARCH 5, 1877
The medal measures 1-5/16'' wide. It appears to be in mint condition as pictured.