Up front...
I have not done a survey, scientific or not. However, I do have some observations.
Criminals cannot legally buy guns, so they buy (sometimes rent) weapons on the underground market. In many areas, this really comes down to dealer's choice; it's a seller's market. The seller deals in whatever he can get.
Guns are expensive. Regular firearms in the legal market are expensive to begin. Dealing in stolen weapons - even though probably cheap in dollars to the illegal dealer - increases risk and therefore increases overhead. Buying a 'hot' gun by a 'hot' buyer cannot be cheaper than an equivlent legal gun. No dealer is going to accept less than the 'going market price'.
This is modified by 'consumer demand'. Criminals are not typically gun collectors, or particularly knowledgeable about firearms. I spoke with one young man of questionable integrity about guns once. He (he claimed) could load and fire a Glock without hurting himself or firing too many negligent discharges. On that basis, he thought he was well trained. I asked him what caliber handgun he had fired and his response was, "A nine." He didn't know anything more than that. Because of this relative ignorance, there are some curious reversals in the demand side of the equation. Glocks are prized because they are well known, widely distributed (so illegal dealers have more chance of getting them) and used by police and are therefore thought to be 'good guns'. For those criminals who have actually fired a gun, a 9x19 Glock doesn't recoil much and has a lot of shots. (I'm not trying to offend Glock enthusiasts here.) A Glock is much more valuable to a criminal than a Registered Magnum with box and papers, for instance. 'Everyone knows' revolvers are outdated and only hold six rounds. Besides, they're loud and kick like a mule.
Criminals are not famed for forethought. To a criminal, a gun is a tool, equipment required for the job and is therefore an 'expense'. 'Expense' should be kept low to maximize return. At the same time, a gun is to intimidate and ensure compliance from the victim. So a shotgun is valued in this regard. Some brighter villians understand they have a better chance of making a hit with a shotgun than a handgun. On the down side, shotguns are harder to hide.
Therefore, criminals buy the commonest, least expensive guns they can find. Back in the pre do-gooder days, criminals would buy the cheapest, smallest guns they could find. They still do.
In the old days, these were the Ravens, Jennings and such. With laws banning manufacture of these weapons, the firearm carried by the average thug has actually gone up in quality.
Please understand, I'm not criticizing the Glock or Glock owners as being 'cheap'; I'm saying because of the great distribution of Glocks, they are probably one of the most stolen firearms and therefore in widest circulation in the illegal firearm market, therefore 'cheaper' than some others.
Also, please understand, I'm talking about typical street thugs who are simply too lazy to work. There are some exceptions, like the Northridge Bank robbers, who did some careful planning and preparing. Obviously, what I've written here is not carved in stone, but is meant as a general overview. There are all sorts of exceptions.