All 4 Uses

however
in
Prince Caspian: The Return to Narnia
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But however he turned his head and squinted and whisked his beard to and fro, he couldn't quite see his own shoulder.†
Chpt 8 *

however = in whatever way
The boys and the Dwarf, however, were used to woods and were not taken in for more than a few seconds.†
Chpt 9 *

however = a word used to connect contrasting ideas as when using though, in spite of that, in contrast, nevertheless, etc.
Before they had begun to cross it, however, up out of the water came a great wet, bearded head, larger than a man's, crowned with rushes.†
Chpt 14
You know that, however long we seemed to have lived in Narnia, when we got back through the wardrobe it seemed to have taken no time at all?†
Chpt 3 *

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?"