Allusion על שבת 43:1

One should place [the Hanukkah light] above three handsbreadths [from the ground]. It is a mitzvah to place it beneath ten handsbreadths. But if he placed it above ten handsbreadths, he has fulfilled his obligation. However, if he placed it above twenty cubits, he has not fulfilled his obligation. Rem"a: And even if he took it as it is, lit, and placed it below twenty cubits, he has not fulfilled his obligation, because the kindling accomplishes the mitzvah. (Beit Yosef quoting Tosafot)

It is a mitzvah to place [the Hanukkah light] in the handsbreadth closest to the entrance on the left, so as to have the mezuzah on the right and the Hanukkah light on the left. But if there is no mezuzah in the entrance, he should place [the Hanukkah light] on the right. If one places it in the doorway itself, he should place it on the leftmost half of the entrance. Rem"a: However nowadays, when all kindle inside, and there is no distinction for the people of the public domain at all, one should not worry so much if we do not kindle it in the handsbreadth closest to the entrance. In any case, the custom is to kindle it in the handsbreadth closest to the entrance, as in [our ancestors'] days, and one should not deviate; unless the household members are many, [in which case] it is preferable for each one to kindle in a unique place rather than mixing the lights together, with no distinction of the number of lights they are kindling. In any case, they should take care not to kindle in the same place where they kindle lights all year, since then there would be no distinction at all. And even though there is only no distinction except for the members of the household, some distinction at least is necessary. In the synagogue, one should place [the Hanukkah light] at the southern wall (or to the south of the lamp, and he should arrange them from east to west). (Terumat Hadeshen Section 104, Beit Yosef) We kindle and recite the benedictions (in the synagogue) for the sake of publicizing the miracle. Rem"a: A person does not fulfill his obligation with the lights of the synagogue, and needs to kindle again in his own house. (Isaac ben Sheshet Section 111) We have the custom to kindle in the synagogue between the afternoon prayer and the evening prayer. Some have the custom to kindle on the Sabbath Eve before the afternoon prayer. (Kol Bo and Book of Abudirham) If [the prayer leader] wants to quickly pray right away after [he] has recited the benedictions and kindled one of them, the synagogue attendant may kindle the rest, and the prayer leader may pray. (Jacob ben Moses Moelin)