clear, deep, major, serious
A serious split in the ruling coalition appeared soon after the election.

acrimonious, damaging
Ten years after their acrimonious split, the band has reformed.

growing
ideological
an ideological split within the party

cause, create, lead to

appear, occur

split between
a split between the right and left wings of the party

split in, split within
split over
a growing split in the Church over the issue of gay priests

split with
Mike's split with his wife

even
It's an even split; some love it, some hate it.

two-way, three-way, etc. (esp. BrE)
The initiative was funded in a three-way split between the sponsors, the League and the clubs.

easily
Plastic splits very easily.

apart
open
The ripe seed pod splits open and scatters the seeds.

down the middle, in half, in two
The lid had split down the middle.
Split the coconut in half.

into
He split the log into several pieces.

eventually, finally
apart, away, off, up
The rock group split up last year.

from
Several factions split from the party.

into
In 1993 Czechoslovakia split into two independent states.

on, over
The party finally split over the issue of gun control.

be deeply split
The party is deeply split on this issue.

equally, evenly

among, between
The cost has been split equally between three countries.

split sth two, three, etc. ways
The profit will be split three ways.

split the difference
I offered €200 but he wanted €300. In the end, we split the difference and I paid him €250.

split your time between sth and sth
She splits her time between Madrid and Washington.

Split is used with these nouns as the subject:
nail

Split is used with these nouns as the object:
atom, bill, booty, check, country, difference, duty, infinitive, log, party, proceeds, profit, vote