$$ AB:BC=1:3 $$

$$ => \frac{AB}{AC}=\frac{1}{4} $$

$$ \frac{AD}{AE}=\frac{AB}{AC}=\frac{1}{4} $$

$$ \frac{AD}{AE}=\frac{1}{4} $$

$$ \frac{8-2}{AE}=\frac{1}{4}=> AE=4 \times 6=24 $$

Therefore, the x coordinate of C is 2+24=26.

$$ \frac{DB}{EC}=\frac{AB}{AC}=\frac{1}{4} $$

$$ \frac{DB}{EC}=\frac{1}{4} $$

$$ \frac{3}{EC}=\frac{1}{4}=> EC=12 $$

Therefore, the y coordinate of C is -4+12=8.

The coordinates of point C is (26,8).