[GAP Forum] Equal structure descriptions

[R.E. Boss]

What can I conclude from the equal structure descriptions below I stumbled upon?

 

R.E. Boss

 

 

gap> StructureDescription(SmallGroup(64,156));

"Q8 : Q8"

gap> StructureDescription(SmallGroup(64,158));

"Q8 : Q8"

 

gap> StructureDescription(SmallGroup(64,155));

"(C8 : C4) : C2"

gap> StructureDescription(SmallGroup(64,157));

"(C8 : C4) : C2"

gap> StructureDescription(SmallGroup(64,159));

"(C8 : C4) : C2"

 

gap> StructureDescription(SmallGroup(64,160));

"(C2 x C2) . (C2 x D8) = (C4 x C2) . (C2 x C2 x C2)"

gap> StructureDescription(SmallGroup(64,179));

"C8 : Q8"

gap> StructureDescription(SmallGroup(64,180));

"(C2 x C2) . (C2 x D8) = (C4 x C2) . (C2 x C2 x C2)"