Partitions and Blocks for imprimitive permutation groups

[roed314]

I got a request at Banff this week for the LMFDB to add the minimal partitions for imprimitive groups (as computed here).

[SamSchiavone]

Having the partitions could be give a nice connection to primitivizations of Belyi maps.

[jwj61]

Would you want all minimal partitions, or just one?

Do you want the lengths of the parts, or the actual elements in those parts?

[roed314]

The request I got was for all minimal partitions, and probably have two columns: one for the partition lengths and another for the set of elements. But we should look at what the data would be in order to decide whether this is a good idea to store.