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According to http://read.pudn.com/downloads10/sourcecode/asm/40769/pciasm/PCI.ASM__.htm, the correct subclass for 386 processors is 0b:01.
Are you sure that the data on this web page are correct? The latest PCI specification (v3.0) still claims that 0b:00 is 386. BTW, have you seen this class on any real device?