Lots has changed since Honda made Honda which was sold at Honda dealership...
So, to sum it up, the origin of my bike goes as follows:

1. Suzuki and QingQi had cooperation in the past and have now, but Suzukis weren't branded QingQi and vice versa even though there's QingQi Suzuki website: http://www.qssuzuki.com.cn/index.asp
During this cooperation process Jinan QingQi bought rights for Suzuki GS125 engines.
My bike can't be found on that website.

2. There's been widely known Suzuki-Haojue joint venture. Their website's http://www.haojue.com/
and it has both Suzuki and Haojue bikes, but nothing similar to my bike.

3. I tried Suzuki Taiwan http://www.suzukimotor.com.tw/index.php and their website has nothing on my bike.
OK, I'm not surprised, it's not branded Suzuki after all.

4. It's branded QingQi but has no representation on QingQi website http://www.qingqi.com.cn/

5. Something similar can be seen on Somoto website http://www.somoto.cn/products.asp?nid=20 but with a different engine (e.g. their bikes have kickstarter, my bike doesn't). When contacted, Somoto said they didn't distribute their bikes in China.

6. It was designed by CCW, but isn't featured on their website either http://www.clevelandcyclewerks.com/bikes/

Well, what can I say, TIC...