Oil/gas http://books.google.co.uk/books?id=2fQZFwWne3kC&pg=PA48&lpg=PA48&dq=which+industry+dominates+russia&source=bl&ots=SmBKDh4v2x&sig=5vmaGc8k3sUYRRwT8NnRSeXK6e4&hl=en&sa=X&ei=LKBuVIHUNIPfaOPFgqgM&ved=0CB8Q6AEwAQ
Statictics http://epp.eurostat.ec.europa.eu/statistics_explained/index.php/Russia-EU_-_basic_statistical_indicators
Main industries List. http://en.m.wikipedia.org/wiki/Economy_of_Russia
Oil and gas
Chemicals
Mining
Processed metals
Defense equipment
Shipbuilding
Aerospace
Automotive
Communications equipment
Electric power generating and transmitting equipment
Consumer durables
Textiles
Food and beverages
Retailing
Real estate
Healthcare
Utilities
External
Exports $542.5 billion (2012 est.)[13]
Export goods
petroleum and petroleum products, natural gas, metals, wood and wood products, chemicals, and a wide variety of civilian and military manufactures.
http://www.photius.com/countries/russia/economy/russia_economy_the_automotive_indus~1333.html Noril'sk Nickel Joint-Stock Company dominates Russia's nonferrous metallurgy industries. It controls nearly all of the country's aluminum and nickel production and 60 percent of copper production. The largest operations in the industry are Noril'sk Nickel in northwestern Siberia and Bratsk Aluminum, Krasnoyarsk Aluminum, and Sayan Aluminum in south-central Siberia. More than 90 percent of Russia's aluminum comes from six smelters. Some smelters have been privatized and export their semifinished products. Inputs, especially alumina (of which Russia has little), became much more expensive in the mid-1990s, as did transportation and electricity costs. At the same time, export revenues fell.
The Automotive Industry
The Mob
"the most dominating industry"
oil. nyeft, petroleum...
also, fishing, farming, forestry, but "the most dominating industry" as you asked is oil, (by amount of money).
mine (minerals, gold) and extractive industies (coal, oil and gas)