I got another question regarding semidirect products:
Construct all semidirect products of C3 ⋊ C3.
I got another question regarding semidirect products:
Construct all semidirect products of C3 ⋊ C3.
The automorphism gorup of $C_3$ has only two elements as each automorphism must map a generator to a generator. Hence no automorphism has order thre, i.e. $C_3$ can act on itself only trivially. This makes the semidirect product a direct product.