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![abstract algebra - Showing $\mathbb{Z}_2 \times \mathbb{Z}_2$ and $\mathbb{Z}_4$ have a different number of subgroups of order $2$. - Mathematics Stack Exchange abstract algebra - Showing $\mathbb{Z}_2 \times \mathbb{Z}_2$ and $\mathbb{Z}_4$ have a different number of subgroups of order $2$. - Mathematics Stack Exchange](https://i.stack.imgur.com/EpxkN.png)