The -oogas are a set of 26 numbers with each -ooga being bigger than the previous one.
It starts with aooga which equals to a powerset of a goppatoth.
then there's booga which equals to a powerset of a powerset of a goppatoth or we can simplify it to a powerset of an aooga.
Then it goes on for 23 times until zooga which is a powerset of a yooga.
The actual notation is this (P(times the number for the starting letter)Goppatoth)) e.g. dooga equals to (P(P(P(P(Goppatoth))))