Is the product of group representations commutative?

Question

Consider, for example, the product of $E_6$ representations

$$ 78 \cdot \overline{351}_s \cdot 78 \cdot 351_s, $$

where the $s$ denotes symmetric. Is this equal to

$$ 78 \cdot 78 \cdot \overline{351}_s \cdot 351_s ? $$