all the readings of 父 I know that means father and it's readed "chichi". I thought the other reading of it was "tou" since I've heard many times o tou san to refer to a father. But according to this list < the readings of are "fu" and "chichi". Is that list incomplete or does tou of o-tou-san written with other kanji?

Yes that list on Wikipedia is incomplete. The article says:

> The readings presented here are those noted in the official Jōyō table. [2]

And [2] refers to this official Joyo kanji list (PDF).

This PDF actually lists many special and/or jukujikun readings in the notes () and the appendix, but those special readings are not included in the article on English Wikipedia.

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What's written on the fourth () column is omitted.

is a reading which is both very common and "official", but there are actually many other readings not listed in the official joyo kanji list. See this question.