Translation:Her administration is from the same party.
I had a lot of trouble understanding this sentence as a whole, although it was easy to get a correct translation.
"administration" combined with "party" makes me think of government. In that context, I think of "administration" as the total activity of the government, not something that can really be owned by one person. Or, when I do think of "her administration", I think of it as meaning all the government activity that she oversees, and I don't see where being from the same party makes sense.
But now I think that "her administration" must mean "the rest of the government besides her [the leader]".