How many ways are there to put 9 differently colored beads on a 3x3 grid if the purple bead and the green bead cannot be adjacent (either horizontally, vertically, or diagonally), and rotations and reflections of the grid are considered the same?
I know that either the purple bead or the green bead can't be in the center of the grid, but I'm basically stuck there.
Also, the purple bead and the green bead can't be in the same 4x4 mini-grid. Does that help?