Correct me if I'm wrong, but can't you Empower it as well? I mean, doesn't synergize well with Maximize (you probably won't roll many more fours), but still.
Yes, but due to the odd nature of the spell, you might actually be worse off than if you'd only Maximized it. 
How do you figure? I'm not seeing that.
Cleromancy involves casting bones and interpreting the results. Those able to arrive at the proper interpretation are granted knowledge of coming events. Roll 1d4 per caster level. Group the dice by like results, and choose one of the groups. For the duration of cleromancy, you can apply a luck bonus equal to the result of the selected dice to any d20 roll.
You can apply this bonus to a number of rolls equal to the number of dice in the group. If cleromancy expires before you are able to allocate the total number of allotted bonuses, the remaining bonuses are lost.
A maximized Cleromancy only has one group. If you also empower it, you're going to have different groups again (only two, instead of four, though), because you apply Maximize and Empower separately (you'd roll 4+1d2 for each die, then separate the results into two piles depending on the rolls).
Slightly incorrect. Empower + Maximize doesn't mean you roll a die 0.5 times the size, it means you roll the die then multiply by 0.5. So the results would be {4, 5, 5, 6} after rounding (as opposed to {5, 5, 6, 6} with 1d2+4). So three piles (one of which is ~twice the size), not two.
