We have only found the first extra dimension. It is either the 4th or 5th dimension. Time is considered the true 4th dimension, but cannot be represented in a spacial sense except by a line. A line is the first dimension. We suspect time is not the fourth dimension. It is a quality of the first. But if it were, the 5th dimension would be the first extra dimension, because perception of time is an everyday part of our lives.
The 4th (or 5th) dimension is remarkably depressing. The scientists, whom through heavy drug use have became aware of this dimension, are all very depressed now. Through the 4th dimension, you can perceive alternate universes, and the special requirement of each universe is that it is very, very tiny--and hidden from all other universes. One scientist described a universe as a grain of sand in a haystack superimposed by an impossibly complex crossword puzzle. Curiously, he is now phobic of crossword puzzles. The tiny boxes, the tiny boxes!
The first extra dimension is responsible for the lizard peoples' telepathy. They can see into other universes, and have appendages to collect sensory details of the properties of those universes.
Portals often are only visible by scanning using the 4th dimension as a reference. When we find a portal, the lizard people control our minds, and prevent us from making any kind of real progress. But it is fun.