for N:=2 to 10 do
G:=GL(2,IntegerRing(N));
H:=SL(2,IntegerRing(N));
Sub:=Subgroups(H);
for R1,R2 in Sub do
H1:=R1`subgroup;
H2:=R2`subgroup;
if H1 ne H2 then
bool,g:=IsConjugate(G,H1,H2);
if bool then print H1,H2,g; end if;
end if;
end for;
end for;

MatrixGroup(2, IntegerRing(7)) of order 2^3
Generators:
[2 1]
[2 5]

[6 4]
[3 1]

[6 0]
[0 6]

MatrixGroup(2, IntegerRing(7)) of order 2^3
Generators:
[1 1]
[5 6]

[6 4]
[3 1]

[6 0]
[0 6]
Conjugate by
[3 0]
[0 1]