All 5 Uses

however
in
Hollow City
(Auto-generated)

As birds, however, their powers are very limited.†
p. 101.2

however = a word used to connect contrasting ideas as when using though, in spite of that, in contrast, nevertheless, etc.
Enoch, however, paid them no such courtesy.†
p. 282.6
Emma could never resist a touch of glitter, however small.
p. 301.8 *

however = regardless of how
On this map, however, India was called Malabar, and the island, which I knew to be Sri Lanka, was overlaid with slinky script that read Land of Serendip.†
p. 366.1 *

however = a word used to connect contrasting ideas as when using though, in spite of that, in contrast, nevertheless, etc.
However, in the spirit of total honesty, I will say this: you shouldn't have made us chase you.†
p. 172.9

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?"