All 8 Uses

however
in
Nation, by Terry Pratchett
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Because however much of a Daphne you yearn to be, there is always your Ermintrude looking over your shoulder.
Chpt 9. *

however = regardless of how
That wasn't the most noticeable thing about it, however, which was that it was not alone.†
Chpt 9.

however = a word used to connect contrasting ideas as when using though, in spite of that, in contrast, nevertheless, etc.
Later on, some of them had had a go with it, however, and considered it a bit cumbersome for a real fight.†
Chpt 15. *
You will, however, act with grace and gratitude during the remainder of our stay in this place.†
Chpt 15.
However, it wasn't all she did.†
Chpt 4.
However, I have dismissed this hypothesis because I don't believe that people who have really gone mad think they have gone mad, so wondering if you have gone mad means that you haven't.†
Chpt 9.
However, if you were going to look at hundreds and thousands of dead men, it didn't help to see the light from Ataba's lamp flicker over them.†
Chpt 10.
However, do not try this at home.†
Chpt A.N.

Definitions:

(1) (however as in: However, complications may...)
though (or another expression that connects contrasting ideas)

Based on idea 1 we might not expect idea 2, but this is a way of saying that even though idea 1 exists, we still have idea 2. Synonyms include in spite of that, despite that, nevertheless, nonetheless, on the other hand, in contrast and but.
(2) (however as in: However much she tried...)
to whatever degree (regardless of how much; or whatever unspecified amount)
(3) (however as in: However you do it, get it done!)
in whatever way
(4) (meaning too rare to warrant focus)
Much more rarely (and arguably incorrectly), however can be used to intensify the word how, as when one says "However did you find her?" Grammarians would suggest using two words for that usage: "How ever did you find her?"