Which ones are most likely to form an alliance?
The number of seats taken by party are:
Liberals - 158
Conservatives - 119
Bloq Quebecois - 34
New Democrat Party - 25
Green - 2
The Green party here is the same party as in the US, pretty far left. The NDP is only slightly to the right of the Green Party and is still a far left party. The Bloq Q wants Quebec to separate from Canada and are only slightly to the right of the NDP. The Liberals are second from the right in the party left/right spectrum, and the Conservatives are the furthest right. The People’s Party of Canada would be considered the furthest right but they lost the only seat they won in 2019 and are now off the spectrum.
So there are 4 left-leaning parties and two right-leaning parties, one of which didn’t win any seats. The only natural alliances are the 4 left-leaning parties. It’s not easy being conservative in Canada.
The socialist party (aka the NDP) will almost certainly join with the Liberal Party to form a parliamentary voting majority. The Liberal Party has moved so far left that people find it hard to distinguish them from the socialists.
Meanwhile, the Conservative Party gambled that a leftward move would make them more competitive with Trudeau, but the People's Party of Canada (closest to Trumpism) took away their chance at a majority by getting 5% of the vote and no seats in Parliament.
Overall result of the election: the socialist parties -- all the major parties -- got 95% of the vote, and the true conservatives got 5%. Not a good sign.