I'm having some trouble with the following exercise: I am asked to determine how many Sylow $p$-subgroups the group $G$ might have, where $|G|=240=2^4\cdot3\cdot5$. I am not sure how to interpret this "might": I mean, I applied the third Sylow Theorem and computed the possible values for $n_p$, the number of $p$-Sylows in $G$, but it seems I'm not able to go beyond this and give a sharper estimate. Can someone help please?
2026-03-30 07:09:11.1774854551
Sylow subgroups of G of order 240
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