[GAP Forum] hall-senior number vs small group id

[Eamonn O'Brien]

Dear Forum:

Attached is the correspondence between Hall-Senior identifiers
for the groups of order dividing 64 and the corresponding
SmallGroup identifiers. I determined this in the 1980s.

HallSeniorToSmallGroup[n][x] returns the SmallGroup id
of the H-S group (2^n)#x.

gap> HallSeniorToSmallGroup[6][187];
245

SmallGroupToHallSenior[m][y] returns the HallSenior id
of the SmallGroup  (2^m)#y.

gap> SmallGroupToHallSenior[6][245];
187

Best wishes.
Eamonn
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