SketchUp's interface simply doesn't support multiple 3D viewpanes in one interface window the way many other 3D DCC tools do (C4D, modo, Maya, 3DS for example) though there is a workaround, assuming a fairly simple model: see this thread in SketchUp Community on this topic (link) to see what I mean.
In essence, you declare your model in progress a component, and then place three iterations of your component around the original, each rotated the appropriate amount around the relevant axis; it ends up looking like this as you work:
To be clear: Cinema 4D, Maya, Modo, 3DS are all serious DCC 3D apps, and have much more complex codebases, toolsets and much more extensible interfaces as well as toolpipes: SketchUp was always designed to be fast, loose, low-rent and not very full-featured - but with a very shallow adoption curve - easy to learn fast. This was the case when SketchUp was first developed by At Last Software, was still true later when it was picked up by Google, and is still true now that it's owned by Trimble.