gap> u1:=(4,1,6,7);
(1,6,7,4)
gap> u2:=(2,3,8,5);
(2,3,8,5)
gap>
gap> G_u:=Group(u1,u2);
Group( (1,6,7,4), (2,3,8,5) )


gap> G_u:=Group(u1,u2);
Group( (1,6,7,4), (2,3,8,5) )
gap> GroupId(G_u);
rec(
  catalogue := [ 16, 4 ],
  size := 16,
  names := [ "4x4" ],
  abelianInvariants := [ 4, 4 ],
  pGroupId := 2 )
gap> d1:=(1,2,7,8)(11,61,71,41);
( 1, 2, 7, 8)(11,61,71,41)
gap> d2:=(3,4,5,6)(21,31,81,51);
( 3, 4, 5, 6)(21,31,81,51)
gap>
gap> G_d:=Group(d1,d2);
Group( ( 1, 2, 7, 8)(11,61,71,41), ( 3, 4, 5, 6)(21,31,81,51) )
gap> GroupId(G_d);
rec(
  catalogue := [ 16, 4 ],


rec(
  catalogue := [ 16, 4 ],
  size := 16,
  names := [ "4x4" ],
  abelianInvariants := [ 4, 4 ],
  pGroupId := 2 )
gap> u3:=(1,2,3,4)(11,21,31,41);
( 1, 2, 3, 4)(11,21,31,41)
gap> d3:=(5,6,7,8)(51,61,71,81);
( 5, 6, 7, 8)(51,61,71,81)
gap>
gap> G:=Group(u1,u2,u3,d1,d2,d3);
Group( (1,6,7,4), (2,3,8,5), ( 1, 2, 3, 4)(11,21,31,41), ( 1, 2, 7, 8)
(11,61,71,41), ( 3, 4, 5, 6)(21,31,81,51), ( 5, 6, 7, 8)(51,61,71,81) )
gap>
gap> Size(G);
1625702400
gap> quit;