All 7 Uses of

however
in
The Voyage of the Dawn Trader

Lucy had, however, already run forward, followed by Reepicheep, as fast as his short legs could carry him, and then of course the boys and Drinian came, too.
Chpt 6

however = a word used to connect contrasting ideas as when using though, in spite of that, in contrast, nevertheless, etc.

It was, however, clear to everyone that Eustace's character had been rather improved by becoming a dragon.
Chpt 7 *

She tried to open it but couldn't at first; this, however, was only because it was fastened by two leaden clasps, and when she had undone these it opened easily enough.
Chpt 10

He did, however, tell them that about seven years before a Narnian ship had put in at his waters and that she had on board the lords Revilian, Argoz, Mavramorn and Rhoop: so they judged that the golden man they had seen lying in Deathwater must be the Lord Restimar.
Chpt 11

She could not, however, spend much time looking back; what was coming into view in the forward direction was too exciting.
Chpt 15

He never held on to anything, however the ship pitched, and kept his balance with perfect ease; perhaps his long tail, hanging down to the deck inside the bulwarks, made this easier.†
Chpt 2

But these were warm and green and full, of forests and waterfalls however high you looked.†
Chpt 16

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 contrastand 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)
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?"