Template:HallSenior

Hall-Senior number
This group of prime power order has order and has Hall-Senior number  among the groups of order. This information can be used to construct the group in GAP using the Gap3CatalogueGroup function as follows:

Gap3CatalogueGroup

For instance, we can use the following assignment in GAP to create the group and name it $$G$$:

gap> G := Gap3CatalogueGroup;

Conversely, to check whether a given group $$G$$ is in fact the group we want, we can use GAP's Gap3CatalogueIdGroup function:

Gap3CatalogueIdGroup(G) = [,]

or just do:

Gap3CatalogueIdGroup(G)

to have GAP output the group ID, that we can then compare to what we want.