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**1. Homework Statement**

Determine [itex]Aut(G)/Inn(G)[/itex], given [itex]G = D4[/itex].

**2. The attempt at a solution**

Let [itex]D_4 = \{e, x, y, y^2, y^3, xy, xy^2, xy^3\}[/itex]

Found that [itex]Inn(G) = \{\phi_e, \phi_x, \phi_y, \phi_{xy}\}[/itex] and [itex]\mathrm{Aut}(G)[/itex] consists of 8 bijective functions. But I can't find [itex]Aut(G)/Inn(G)[/itex].