The word odiaban is the imperfect form of odiar in the third person plural.
See the full odiar conjugation

odiar

La verdad es, se odiaban la mayoría del tiempo.
Truth is, they hated each other most of the time.
Todos sabían que era diferente y la odiaban por eso.
Everyone knew she was different, and they hated her for it.
Pero sabía que él y Robert se odiaban.
But you knew that he and Robert hated each other.
Los ancestros me odiaban por lo que hice con mi magia.
The ancestors hated me for what I did with my magic.
Amaban a sus familias y no odiaban a nadie.
They loved their families and did not hate anybody.
Porque odiaban a todos o a todo lo que era diferente.
Because they hated anyone or anything that was different.
Usted y su tía se odiaban el uno al otro.
You and your aunt hated each other.
Quizá me odiaban, pero era una de ellos.
They might've hated me, but I was one of them.
Ellos se odiaban mutuamente, por lo que podía ver.
They hated each other, as far as I could see.
Mis padres se odiaban y me culpaban a mí.
My parents hated each other and blamed me.
¿Creéis que los astronautas fueron a la luna porque odiaban el oxígeno?
You think astronauts go to the moon because they hate oxygen?
Pero dijiste que conociste a sus padres y que te odiaban.
But you said you met her parents and that they hated you.
Así que resulta que nos odiaban a los dos.
So it turns out they hated both of us.
He tratado de ser yo misma y lo odiaban.
I tired to be myself and they hated it.
Esto es antes de que se odiaban mutuamente.
This is before they hated each other.
Bueno, vale, está claro que sus estudiantes le odiaban.
Okay, well, it's clear his students hated him.
¿Creeis que los astronautas fueron a la luna porque odiaban el oxígeno?
You think astronauts go to the moon because they hate oxygen?
Sabes cuanto me odiaban los muchachos de la unidad.
You know how much the guys in the outfit hated me.
Ellos nos odiaban, y no nos querían allí.
They hated us, and they didn't want us there.
Ahora sé por qué esos híbridos te odiaban.
Now I know why those hybrids hated you.
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