Please can you help me understand the grammar in this Chinese sentence.

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Nov 10, 2013 00:32
Please can you help me understand the grammar in this Chinese sentence. The part confusing me is " 拎着装在袋里的" I am confused as to why 装 has been used where it is.

当他拎着装在袋里的一只大油饼往回走,经过他们身边时,他们的话断断续续飘入他的耳鼓:

Does 装 mean "bag" here? Could this sentence also be written "当他在袋里拎着一只大油饼往回走"?