The "group" is the size of the battery. A lot of starting batteries are 24 group - I happen to like a slightly larger battery for my starting, so I go with a 27 group. Most trolling motor batteries that come dealer rigged are 27 group, but you can go up in size to 29, 30, or 31 group. I run Trojan batteries of the 30 group size for my trolling motor (SCS 225's). Generally, the larger the number, the larger the battery. However, differences in numbers don't always equal how much of a jump. For instance, Trojan has a 24 group starting battery (24SM-1000) that produces 1000 cranking amps. My 27 group Trojan starting battery (27SM-1100) produces 1100 cranking amps. Not a huge jump between 24 and 27 on that one, but I like all the power I can get for the big Opti's. Just personal preference.
The group size of batteries does NOT however, pertain to the power rating of a battery - it simply is the case size. For instance, Trojan has 24 group starting batteries in 550, 650, 850, and 1000 cranking amps. Generally, though, a higher number on the group does equate to more power / run time.... but you have to check the cranking amps / battery capacity to ensure you are buying enough battery for your needs.
Here is a link to Trojan batteries site so you can see the different size and case dimensions. Just click on the different battery to get the size of the case, cranking amps, and capacity:
http://www.trojan-battery.com/Products/Marine.aspx
All the best,
Glenn