All 5 Uses

however
in
Charlotte's Web
(Edited)

...the web is not easily broken. However, a web gets torn every day by the insects that kick around in it,
p. 55.2 *

however = in spite of that
The spider, however, stayed wide awake, gazing affectionately at him and making plans for his future.
p. 67.7

however = a word used to connect contrasting ideas as when using though, in spite of that, in contrast, nevertheless, etc.
This formed the upright part of the letter T. Charlotte was not satisfied, however.
p. 93.6

however = a word used to connect contrasting ideas as when using "though", "in spite of that", "in contrast", "nevertheless", etc.
However, I don't want you to worry about it—you might lose weight.
p. 117.3
However, I have a feeling I'm not going to see the results of last night's efforts.
p. 146.6

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?"