----- C8
2,
gens(a,b,c),
rels(a^2=b,b^2=c,c^2=1),
weights([1,2,4]);
----- C4xC2
2,
gens(a,b,c),
rels(a^2=c,b^2=1,c^2=1),
weights([1,1,2]);
----- D4
2,
gens(a,b,c),
rels(a^2=1,b^2=1,c^2=1,[b,a]=c),
weights([1,1,2]);
----- Q8
2,
gens(a,b,c),
rels(a^2=c,b^2=c,c^2=1,[b,a]=c),
weights([1,1,2]);
----- C2xC2xC2
2,
gens(a,b,c),
rels(a^2=1,b^2=1,c^2=1),
weights([1,1,1]);
-----

