My general recommendation for materials like that is to use a highly diluted mixture of woolite and water in a sprayer. Spray onto a clean lint free towel and blot at any spot. No excessive rubbing, and don't saturate the material.
I had a similar material in my 2006 Trailblazer SS and it was a pain to keep clean and hated moisture/cleaners.
Best bet is to just not get it dirty in the first place
