I had the same problem , it was a bcm problem (body control module).
Sorry to say it was a dealer repair.
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2004 Hummer H2 " Metallic Red "
20 inch Mojave's (Teflon)(325/60/20) BFG A/T's
MagnaFlow kitty back...Hypertech Tuned..Music to my ears
HCMI Member 50043