It s a stupid question probably but i dont know. It was a little question in a test. The order ( cardinality) of $G= \mathbb{Z}_2 \times \mathbb{Z}_6$. I think it s $12$, the direct product is the cartesian product of the two sets $\mathbb{Z}_2$ and $\mathbb{Z}_6$ with the same operation etc. But i think it s not the right answer (if it was $12$ why ask it, it s obvious...)
2026-03-27 13:47:07.1774619227
Order of this group?
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Yes, you are correct. The order of the Cartesian product of two groups is the product of the order of the groups. Good job!