Don't think there's a posting order. 
[hr]

San-people order or of higher status than you. Similar to 'Sempai'
Sempai-More commonly used in schools, or work, similar to 'san'
Chan- used for a younger girls or other girly subjects. Used on younger or people closer. 
Kun- the male version of the honorific 'chan'
*no honorific*- this states that whoever you address is extremely close to you

And that's the basics of honorifics. 

For example:
*Sumiko's name would normally addressed with the honorific '-chan' as she is younger than most of her coworkers
*Madame Lilacflour would be addressed with '-san' as she is of the highest standing and the oldest.