I just started group theory revision and this is my first question. I can only think that the classification of finite groups may help me, but I cannot think how. Any guidance or an answer to set me on my way would be appreciated. Kindest regards!
Which of the following groups are isomorphic? Explain your answer.
i) $C_{12} \times C_{15} \times C_{7}$
ii) $C_{14} \times C_{30} \times \langle(1,2,3)\rangle$
iii) $\mathbb{Z}_{28} \times C_{3} \times C_{5} \times \langle(1,3,2)\rangle$
iv) $C_{14} \times C_{6} \times \mathbb{Z}_{15}$