Group([ (1,4,3), (1,4) ]) is a subgroup of s4, but not normal
Group([ (1,2)(3,4), (1,3)(2,4) ]) is a normalsubgroup of s4
Because t is a complement to v in s4, s4 is a semidirectproduct of t by v.
But using the automorphismGroup of t all the
GroupHomomorphismByImages failed and the construction of the
Are there other methods?
A second question:
knowing H and Q can GAP construct G or the isomorphismClass of G?
Many thanks and