I've been working on a classification of Bol loops of small order. Here is a list of the 7 Bol loops of order 28. This includes the four groups, one non-associative Moufang loop, and two non-Moufang (and non-associative) Bol loops. The latter two examples are isotopic, but the other six are G-loops. The completeness of this list follows from Burn (1981).
I have made available
In listing elements of the commutator (resp. associator) subloop of each of these loops, we have printed in italics
any elements which are not actual commutators (resp. associators). (I have not checked whether this
phenomenon occurs in any of the loop of order 28.)
The four Groups: 18.104.22.168, 22.214.171.124, 126.96.36.199, 188.8.131.52
The non-associative Moufang Loop: 184.108.40.206
The two non-Moufang (non-associative) Bol Loops: 220.127.116.11, 18.104.22.168