[GAP Forum] How I can act an automorphism of a group to a quotient group

[Masoud Chaboksavar]

Dear Forum
Hello
Let G be a finite group and H a normal subgroup of it. Also Assume that G/H
is a quotient and A is full automorphism group of G.
I want calculate the image of  a in A on G/H by GAP.
For more details: if G/H={H, g1H, g2H, . . . , gnH} I want calculate {H,
(g1)^aH, (g2)^aH, . . . , (gn)^aH}

With best regards