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Those who reject the authority of the Pope and of officially-appointed bishops, who, as it were, set up and direct their own Church, would be considered to be in some type of "schism." They dispute the authoritative structure of the official Church over such things as how to conduct the Mass, the central sacramental rite.

Which also applies to both the modernist and traditionalist side of the argument.

I know some consider the SSPX as being schismatic, is there a group as far on the other side of the spectrum that is treated like the SSPX'rs?

There was a thread posted rather recently about a group ordaining women in Austria. That would seem to qualify.

I'm not up on all the left-wing modernist cults, although I have heard of these Masses being conducted by lesbian nuns who think they are priestesses or some such. Doubt this is a very large organization. There used to be a group called "Old Catholics" which may still exist. This was a 19th-century faction which split off (I think) because they would not recognize the papal infallibility business. There are different factions of the SSPX/LeFevre groups. There's an SSPV, right, which is slightly different in governing structure? Been a while since I have read anything on this. As far as I know, they do accept the orthodox versions of the creed, so, technically I guess, they can't be considered a "heresy" proper.

"I am not now, nor have I ever been a member of schismatic group." (Whoooh! Hope that's clear for anyone ready to curse, hex, or anathematize me to the warmer, subterranean realms). Kinda silly that people do this.

http://www.sspv.org

This is it, I think. Definitely a "schismatic" Traditionalist group in the canonical sense. Don't know that much about them. Saw their leader (one Fr. Kelly) on television once. He claims to have become alarmed by modernism, liberalism, and heresy during his seminary studies. Similar to the concerns expressed in this recent book by Michael Rose. No idea what one could expect in terms of how they style their Catholicism or how cult-like the organization might be. Just know little about it.