If a male Kohen has forbidden relations with a divorced woman, a zonah, or chalalah-- the child is a Chalal (Rambam, Hilchos Issurei Biah 19:1):
אֵי זוֹ הִיא חֲלָלָה זוֹ שֶׁנּוֹלִדָה מֵאִסּוּר כְּהֻנָּה. וְכֵן אַחַת מִן הַנָּשִׁים הָאֲסוּרוֹת לִכְהֻנָּה שֶׁנִּבְעֲלָה לְכֹהֵן נִתְחַלְּלָה. אֲבָל הַכֹּהֵן עַצְמוֹ שֶׁעָבַר הָעֲבֵרָה לֹא נִתְחַלֵּל:
In other words, this child is the opposite of the "Kedushah" of Cohanim - he's חול, or חולין - he lost his Kedushah status.
I only know three types of Jews: Cohen, Levi, and Israel.
Where does a Chalal belong?
Is he a regular Israel? Is he a "downgraded" Cohen? Is he a type on its own? What Alyah does a Chalal get? Is there any נ"מ between a Chalal and other types - like in eating, Brochos, Trumah, etc?