First off, all pumps are split case, I'm assuming you're looking at a multistage pump, and deciding between a radially split multistage pump (casing closure is radial to the shaft), and an axially split multistage pump (casing closure lies parallel to the axis of the shaft).
Generally, axially split casings have lower pressure and temperature limits than radially split casings. Depending on manufacturer and design standard, axial splits can be used to up about 14,000 kPa and 200°C, beyond that you should look at radially split. Beyond that, like Artisi said, there's a lot of other factors that can influence the decision. Surrounding space, for instance, if you have to replace the rotor on an axial split pump, the top cover comes off, and the rotor is lifted up out of the top of the pump - here you need to make sure you have plenty of overhead space available. Most radial split pumps have a 'pullout space' at the non-drive end of the pump that you have to pull the rotor assembly out of horizontally to replace - here you need to make sure there's lots of open floorspace at the non-drive end of the pump.
The pump suction conditions will be a factor as well. If you have plenty of NPSHA, go with a 2 pole motor. At 3600 rpm, you shouldn't even need a multistage pump. A pump with a 10000 suction specific speed should require about 2.7 meters NPSHR at 3600 RPM. If you have it, I'd go with a single stage end-suction pump unless you have money to burn.
If NPSH is low, you may have to run at lower speeds. Lower speeds mean lower specific speeds and lower efficiencies that over the long run can justify going to multiple stage designs.
Also, if NPSH is low, you may want to go to a double suction impeller. In that case, even if you go with a single stage pump, you may still find yourself with a axial split case design - I'm not sure why, but every single stage double suction pump I've seen is axially split.