Hello~~~, I am Tony!!!, who's still alive as well. To celebrate our survival, I am more than happy to answer your question based on the best of my very limited knowledge. ^_^
When I was a kid, my dad had a very old dictionary, which indexed Chinese characters according to the radicals and strokes, it's called "四角号码字典". I didn't get how to use it though had been taught a few times, since it's complicated of the rule, which's not existed now.
Nowadays, in computer systems, Chinese charaters are ordered by the first letter of pinyin after Roman numerals and English letters. Say for example: "123--》321--》abc--》cba--》zzz--》阿--》白--》蔡--》..............--》周..."
On the paper, usually there is no specific order, including of namelists. So we often see a statement above the listed names, that is "排名不分先后", meaning no sequence for listing names. However, it's sometimes ordered by the number of strokes of the surname, though it dosen't happen often.
Wish my answer could be helpful.
Merry Xmas and happy new year!