I read in Werners Vogels blog (amazon CTO), that there are four types of CTOs [1] based on Berray and Sampath paper. [2]

* Infrastructure Manager

* Technology Visionary and Operations Manager

* External Facing Technologist

* Big Thinker

[1] https://www.allthingsdistributed.com/2007/07/the_different_c...

[2] http://www.brixtonspa.com/Career/The_Role_of_the_CTO_4Models...