Question: How to label the DrawSubgroupLattice with the order of the subgroup?

This is the default style about the group of DrawSubgroupLattice:

DrawSubgroupLattice(SymmetricGroup(4))

But I hope to label the DrawSubgroupLattice with the order of the subgroup but not the default index, is it possible? I can get the order with this code:

GroupOrder~(SubgroupLattice(SymmetricGroup(4), output = list))

But I don't know how to label it into the node...

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