No. It has only 3 big spiral galaxies, but dozens of dwarf galaxies.
Global Cluster
What do you mean with "the" barred spiral galaxy? There is not one such galaxy; there are millions of them. Also, the only galaxies that can be said to "orbit" the Milky Way are some nearby dwarf galaxies. The galaxies in the Local Group (the group which includes the Milky Way) are gravitationally bound to the Local Group, but they don't exactly orbit one another; it's probably more like they orbit around their common center of mass.
We only live in one galaxy - The Milky Way. It is a barred spiral galaxy that is part of the Local Group of galaxies.
We are part of the Local Group. The Local Group contains the Milky Way, two other major galaxies, and dozens of dwarf galaxies. The Local Groups is a group of galaxies which, as galaxies go, are close to us.
Both the Andromeda galaxy and the Milky Way are spiral galaxies that are part of the Local Group of galaxies. They have similar structures with central bulges surrounded by spiral arms. Additionally, both galaxies contain billions of stars and are part of the larger cosmic web of galaxies in the universe.
You are in the Milky Way galaxy, which is a barred spiral galaxy that contains our solar system. It is estimated to have about 100 to 400 billion stars and is roughly 100,000 light-years in diameter. The Milky Way is part of a larger group of galaxies known as the Local Group, which includes the Andromeda Galaxy and several smaller galaxies.
Those are the spiral galaxies. In our "immediate neighborhood" (part of our Local Group), we have M31, a.k.a. the Andromeda Galaxy.
The Milky Way is the galaxy in which the solar system is located. It is a barred spiral galaxy that is part of the local group of galaxies. It is one of billions of galaxies in the observable universe.
Spiral galaxies look like flat white disks with yellowish bulges at the center and disks filled with cool gas and dust, interspersed with hotter ionized gas and usually display beautiful spiral arms
The larger group of stars that contains our solar system is called the Milky Way galaxy. This galaxy is a spiral galaxy that contains billions of stars, as well as planets, gas, and dust. The Milky Way is just one of many galaxies in the universe.
Our galaxy is one of the billions of other galaxy known as the spiral galaxy. Our galaxy is one of a dozen galaxies that comprises what is known as the local group.
Our solar system is located in the Milky Way galaxy, specifically in one of its spiral arms known as the Orion Arm or Orion Spur. This region is situated about 26,000 light-years from the galactic center. The Milky Way is a barred spiral galaxy that contains billions of stars, including our Sun, and is part of a larger group of galaxies known as the Local Group.