Hi Simon,

You can use CodePcGroup and PcGroupCode, see example below.

Hope this helps
Alexander

gap> g:=SmallGroup(243,13);

<pc group of size 243 with 5 generators>

gap> c:=CodePcGroup(g);

1003339825

gap> H:=PcGroupCode(c,243);

<pc group of size 243 with 5 generators>

gap> IdGroup(H);

[ 243, 13 ]

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