The phrase "given however" is correct and can be used in written English to introduce a contrasting or conflicting idea in a sentence.
Example: The team was determined to win the championship, given however that they had lost their star player to an injury.
Critical excitement about the revival was never a given, however.
Mkhitaryan fails to test Given, however, with a rasper from 25 yards.
The ability to maintain their passion through adolescence is not a given, however.
Where some things are given, however, others are sometimes taken away.
A hint is given, however, of widening Roman monetary interests by two issues of bronze token coinage.
Loyalty was given, however, to the whole royal house, rather as it was in the later Ottoman Empire.
Even if training is given, however, some industry professionals consider interning with a broker a peculiar arrangement.
Given, however, that James Corden and Matt Horne have proven to be box-office poison (see Lesbian Vampire Killers – or, rather, don't), it might be fun to recast.
This reverses previous legal guidelines, which only required a defendant to prove they honestly believed consent had been given – however unreasonable their belief was – to ensure an acquittal.
The cause of Baffert, the jockey Gary Stevens and Point Given, however, didn't get any help from the draw, since once again the random-selection phase left Baffert with a bad pick for a post position.
Given, however, that far more people eschew exercise than complete decathlons, Dr. Gaesser and his colleagues are studying whether ever more minuscule bouts of exertion can aid in blood pressure control and other measures of health.
