Celestial sphere is in angle a of 63° toward galaxy disk, but Ecliptic plane (plane of the solar system) is only 60,2° - galactic latitude and this plane is facing toward 120° (Cassiopeia) (0° is Sagittarius etc) of galactic longitude.
I am showing two pic from wiki, which are clearly stating, that eliptic plane is in 60, 2°to galaxy - which is in contrast of previous comment Rob Jeffries (astrophysics), which I highly respects.
It is also not clear from Rob Jeffries that galactic north is close toward Polaris Galacticum Borealis (const. Coma Berenices) which is in Galactic coordinates 120° (Cassiopea) - which also confirm my test on stellarium (bellow) and I also read this 120° in a Springer¨s article, but can not find it anymore to give link (so I could be wrong).
Plausible check on Stellarium: autumnal equinox (23. 9. 2019) at noon is on 27° Longitude, if you remove ground and check 180° opposite night sky and subtract 60° (Ecliptic plane angle, 23° Earth pole axis now does not play a role) you see that you point toward 120° (Cassiopeia).
23° rotation around sun causing 360° rotation of milky way on the night sky and it´s shift 23° during the year.