gap> g := ElementaryAbelianGroup(27);
<pc group of size 27 with 3 generators>
gap> flist1 := [ Group(g.1), Group(g.2), Group(g.3), Group(g.1*g.2*g.3) ];
[ <pc group with 1 generators>, <pc group with 1 generators>,
<pc group with 1 generators>, <pc group with 1 generators> ]
gap> flist2 := [ Group([g.1, g.2^2*g.3]), Group([g.2, g.1^2*g.3 ]),
> Group([g.3, g.1^2*g.2]), Group([g.1^2*g.2, g.1^2*g.3 ]) ];
[ <pc group with 2 generators>, <pc group with 2 generators>,
<pc group with 2 generators>, <pc group with 2 generators> ]
gap> IsKantorFamily( g, flist1, flist2 );
#I Checking tangency condition...
#I Checking triple condition...
true
