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## Main Question or Discussion Point

Im calculating [itex]Aut(Aut(Aut(C_{73})))[/itex] and have got as far as [itex]Aut(Aut(Aut(C_{73})))\cong Aut(C_2\times C_2\times C_2) \times Aut(C_3)[/itex]

I thought this was the answer but I have been told that [itex]Aut(C_2\times C_2\times C_2) \times Aut(C_3)\cong GL_3(\mathbb{F}_2)[/itex]

Can someone explain this to me please.

I thought this was the answer but I have been told that [itex]Aut(C_2\times C_2\times C_2) \times Aut(C_3)\cong GL_3(\mathbb{F}_2)[/itex]

Can someone explain this to me please.