The 3 groups of back muscles are organized in layers: superficial, intermediate, and deep.
Muscles of the superficial and intermediate groups are called extrinsic back muscles because they are involved in respiration and movements of the upper extremity. Muscles of the deep group are called intrinsic back muscles because they are involved in movement and stabilization of the vertebral column.
Superficial layer:
-trapezius
-latissimus dorsi
-levator scapulae
-rhomboid major+minor
Intermediate layer:
-serratus
Deep:
-errector spinae
-transversospinalis
-splenius
-suboccipital muscles
Hope this helps.