Learn English – Which is the correct word to use here: “consensus” or “majority”

You left out the construction that makes the question more interesting: different to.

The quick answer is that "different from" is always correct and acceptable everywhere, but "different than" is common in US usage (as odd as it may seem for two things to be both different than the other), and "different to" is common in UK usage (as odd as it may seem to have both "different from" and "different to" mean the same thing).

Here's the useful alt.usage.english FAQ entry in its entirety:

"Different from" is the construction that no one will object to. "Different to" is fairly common informally in the U.K., but rare in the U.S. "Different than" is sometimes used to avoid the cumbersome "different from that which", etc. (e.g., "a very different Pamela than I used to leave all company and pleasure for" -- Samuel Richardson). Some U.S. speakers use "different than" exclusively. Some people have insisted on "different from" on the grounds that "from" is required after "to differ". But Fowler points out that there are many other adjectives that do not conform to the construction of their parent verbs (e.g., "accords with", but "according to"; "derogates from", but "derogatory to").

The Collins Cobuild Bank of English shows choice of preposition after "different" to be distributed as follows:

                "from"  "to"    "than"
                -----   ----    ------
U.K. writing    87.6    10.8     1.5
U.K. speech     68.8    27.3     3.9
U.S. writing    92.7     0.3     7.0
U.S. speech     69.3     0.6    30.1

So it's safest to avoid both "different to" and "different than", even though they have ≈30% popularity in UK and US speech respectively, and use "different from" exclusively. See also Michael Quinion's World Wide Words where he points out that many good writers have used the much-maligned now-grudgingly-accepted "than".

They're both grammatically correct and accepted.

For me though, and if you would like to dissect the nuance between them,

Both of them mean a "person to whom thought or action is directed"

But object emphasizes:

"a person seen as a focus for feelings, thought etc."

ex. an object of affection/ contempt

While subject:

"one who experiences or is subjected to something"

ex. the helpless subject of their cruelty/ ridicule