Function: galoisgetname
Section: number_fields
C-Name: galoisgetname
Prototype: LL
Help: galoisgetname(a,b): query the galpol package for a string describing the
group of order a with index b in the GAP4 Small Group library.
Doc: Query the \kbd{galpol} package for a string describing the group of order
$a$
with index $b$ in the GAP4 Small Group library, by Hans Ulrich Besche,
Bettina Eick and Eamonn O'Brien.
The strings were generated using the GAP4 function \kbd{StructureDescription}.
It is possible for different groups to have the same name.
The command below outputs the names of all abstract groups of order 12:
\bprog
? N = galoisgetgroup(12); \\ # of abstract groups of order 12
? for(i=1, N, print(i,". ",galoisgetname(12,i)))
1. C3 : C4
2. C12
3. A4
4. D12
5. C6 x C2
@eprog\noindent
The current version of \kbd{galpol} supports groups of order $a\leq 143$.