Answer

There is one main Śvetāmbara Tristutik gaccha commonly listed in modern Jain reference material, but the number of its internal lineages/branches is not fixed in a universal way. Jainpedia lists Tristuti-gaccha as a current minor Śvetāmbara Mūrti-pūjaka subsect, and notes that mendicant lineages can split into branches over time. ( jainpedia.org)

Explanation

If by “lineages” you mean the main sectarian order, then the answer is one: Tristuti-gaccha. If you mean smaller sub-lineages or samudāyas inside it, then the count can vary by source and period. One scholarly source even mentions that a split in 2000 created a “fourth Tristuti tradition,” which shows that internal numbering is not standardized. ( jainpedia.org)

Spiritual Understanding

In Jain tradition, the important thing is not only the count of branches, but the sincerity of samyak darshan, right conduct, and disciplined practice within the lineage. The lineage supports the practice; the practice preserves the lineage. ( jainpedia.org)

Takeaway

So the simplest answer is: one main Tristutik gaccha, with multiple possible internal sub-lineages depending on the source. ( jainpedia.org)