A "normal" computer can play on the "normal" settings. You can't play on the super-duper settings.
For GC3, that means that a computer that meets the Recommended setup
https://forums.galciv3.com/461330/page/1/
Should be able to play on the mid-sized maps with a dozen opponents, but not the Insane Map with several dozen.
GC3 is multithreaded, so if you seem to be seeing it solely single-threaded, then I suggest you open a support ticket to get to the bottom of why your machine isn't using all the available cores.
Also, as of right now, as this is a TURN-based game, the time it takes to process a turn is LINEARLY affected by the number of factions. The ultimate arbitrator of turn time is the number of faction plus the number of items each faction must process (planets, ships, etc.). I suspect there may be some future optimizations to be had on larger maps where factions don't always need to be processed in lockstep (e.g. if two factions are widely spaced apart, it's much more likely that they can have their turns resolved in parallel).