A magnetic dipole is aligned in the north-south direction. Suppose...

Let the magnetic dipole moment be $\vec{m}$ aligned along the North-South direction. Assume $\vec{m}$ points towards the North.

Points $P_1$ (North)$and P_2$ (South) lie on the axial line of the dipole. The magnetic field at any axial point is in the same direction as the dipole moment. Thus, the magnetic fields at $P_1$ and $P_2$ are both directed towards the North.

Points $Q_1$ (East)$and Q_2$ (West) lie on the equatorial line of the dipole. The magnetic field at any equatorial point is in the opposite direction to the dipole moment. Thus, the magnetic fields at $Q_1$ and $Q_2$ are both directed towards the South.

Comparing the directions:
The magnetic field at $P_1$ is towards the North, and the magnetic field at $Q_1$ is towards the South. They are in opposite directions.
The magnetic field at $P_2$ is towards the North, and the magnetic field at $Q_2$ is towards the South. They are also in opposite directions.

Therefore, the directions of the magnetic field are opposite at $P_1$ and $Q_1$, and at $P_2$ and $Q_2$.