(Solved): 2. Classify the following groups according to the fundamental theorem of finitely generated abelian ...

2. Classify the following groups according to the fundamental theorem of finitely generated abelian groups. 1. \( \left(\mathbb{Z}_{4} \times \mathbb{Z}_{8}\right) /\langle(1,2)\rangle \) 2. \( \left(\mathbb{Z}_{4} \times \mathbb{Z}_{4} \times \mathbb{Z}_{8}\right) /\langle(1,2,4)\rangle \) 3. \( (\mathbb{Z} \times \mathbb{Z} \times \mathbb{Z}) /\langle(1,1,1)\rangle \) 4. \( (\mathbb{Z} \times \mathbb{Z} \times \mathbb{Z}) /\langle(3,3,3)\rangle \)