As printing a polycyclic group does not display the presentation, one cannot simply print a pc group to a file to save it. For this purpose we need the following function.
GapInputPcGroup( grp, string ) F
gap> G := SmallGroup( 24, 12 ); <pc group of size 24 with 4 generators> gap> PrintTo( "save", GapInputPcGroup( G, "H" ) ); gap> Read( "save" ); #I A group of order 24 has been defined. #I It is called H gap> H = G; false gap> IdGroup( H ) = IdGroup( G ); true
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GAP 4 manual