a rebours
against the grain
arsy-varsy
backwards
bottom side up
bottom up
by contraries
contra
contrarily
contrariously
contrariwise
conversely
head over heels
heels over head
in flat opposition
just the opposite
nay rather
on the contrary
oppositely
otherwise
over
per contra
quite the contrary
rather
to the contrary
topsy-turvy
tout au contraire
turned around
upside down
vice versa
adversely
perversely
tersely
directly