Is there a standard order for versors?

Let’s denote the versors as follow:


I noticed that the cayley tables in sort them in the order \epsilon e\gamma, like v=\epsilon_{01} e_{12}\gamma_{12}

There is a convenient reason to pick them in that particular order? General use in literature, custom, readability?

I ask because I’m programming a library, and I find some ordering to be faster than other.