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I have the poset $(\{1,2,3,4,5,6,8,15\}, |)$, where $|$ denotes divisibility
and was able to come up with the Hasse diagram
I feel like I had multiple options to connect the $8$ too as well as the $6$. This is my first hasse diagram and I just wanted to post to make sure I did it correctly.
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$\begingroup$For starters, you have it upside-down: $1$ is the minimum element and should be at the bottom. Apart from that it’s just missing two lines: there should be a line from $2$ to $6$: $2$ is a divisor of $6$, and there is nothing between them (as $4$, for instance, is between $2$ and $8$). Similarly, there should be a line from $3$ to $15$. Everything else is fine: you have no superfluous lines.
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