Let $G$ be a group such that $|G| = 2012$, how would you classify, up to isomorphism, all groups $G$?
Clearly $2012 = 503 \times 2 \times 2$ and so $G \cong C_{503} \times C_2 \times C_2$ but how would you find the others?
Let $G$ be a group such that $|G| = 2012$, how would you classify, up to isomorphism, all groups $G$?
Clearly $2012 = 503 \times 2 \times 2$ and so $G \cong C_{503} \times C_2 \times C_2$ but how would you find the others?