Thanks for the info. I have checked over 20 Cobalt VIN numbers using a VIN decoder, and have yet to find one with Stabilitrak. Cobalts that are advertised with stability control turn out to have traction control, not stability control. The site I linked above, the Insurance Institute for Highway Safety, Highway Loss Data Institute site, lists electronic stability control as optional on the Cobalt. I am beginning to think that "optional" means very rare, if available at all.
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I checked a few more VINs, two of which were Cobalt SS models. The SS models had the JL4 code that Coby7 mentioned above. Two cars is not a meaningful sample, but perhaps Stabilitrak was only used on Cobalt SS models.