# Template:HallSenior

From Groupprops

### Hall-Senior number

This group of prime power order has [[groups of order {{{1}}}|order {{{1}}}]] and has Hall-Senior number {{{2}}} among the groups of order {{{1}}}. This information can be used to construct the group in GAP using the Gap3CatalogueGroup function as follows:

`Gap3CatalogueGroup({{{1}}},{{{2}}})`

WARNING: There is some disagreement between the GAP 3 catalogue numbers and the Hall-Senior numbers for some abelian groups, but it does not affect this group.

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

`gap> G := Gap3CatalogueGroup({{{1}}},{{{2}}});`

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

`Gap3CatalogueIdGroup(G) = [{{{1}}},{{{2}}}]`

or just do:

`Gap3CatalogueIdGroup(G)`

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