Group 1's job is to save the company money, or make existing systems easier to use/more efficient. They help increase sales by implementing metrics/ab testing/etc. A top member of group 1 will be leveraging technology to automate costs & complexity away. If the company nets more money because a Group 1 person is employed, they're doing their job.
Group 2's job is to invent core technology, often from scratch. They are well-versed in theory and application, and their deliverables take lots of time. If the company gains a patent because of a Group 2 person, they're doing their job.
Group 1 is business (and sometime public) facing, so soft skills are much more important. Group 2 IS usually the business, so tech skills are #1. The two groups have the same components in their pie charts, just in different proportions.