G with Order 12 acts on the Set 1.2...12.

How can I get an isomorphic group which acts on the Set 1.2...4  ?

Kurt Ewald

Does there exist a Frobenius Group which is not  neither a Dihedralgroup nor  Symm(3) ?

Best regards

Kurt Ewald

Dihedralgroup(9) acts on the set 1..9 and has order 9

g:=SmallGroup(18,1) acts on the set 1..18 and has order 18.

Question:

Is it possible to let g act on 1..9, too) and how can I do that?

Best regards

Kurt Ewald

Group Theory,

Given a Group G and a normal Subgroup H.

I can get " map(Representative,RightCosets(H,G)) ".

Is ist possible to get the factor group  G/N ?

Best regards

Kurt Ewald