A scanning code consists of a $7$ times $7$ grid of squares, with some of its squares colored black and the rest

A scanning code consists of a $7$ times $7$ grid of squares, with some of its squares colored black and the rest colored white. There must be at least one square of each color in this grid of $49$ squares. A scanning code is called symmetric if its look does not change when the entire square is rotated by a multiple of $90$ deg counterclockwise around its center, nor when it is reflected across a line joining opposite corners or a line joining midpoints of opposite sides. What is the total number of possible symmetric scanning codes?

A. $510$
B. $1022$
C. $8190$
D. $8192$
E. $65534$

OA B

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