Let $T$ be the triangle in the coordinate plane with vertices $(0,0)$, $(4,0)$, and $(0,3)$. Consider the following six isometries (rigid transformations) of the plane: rotations of $90^{\circ },180^{\circ },$ and $270^{\circ }$ counterclockwise around the origin, reflection across the $x$-axis, reflection across the $y$-axis, and reflection across the line $y=x$. How many of the $6^3=216$ sequences of three of these transformations (not necessarily distinct) will return $T$ to its original position?