symmetry: Oh, order: 4, count: 9

(4.4.3.3)
(4.4/2.4.3)
(4.3.4/2.2)
(4.3.3.2)
(4.2.4.2)
(4/2.3.4/2.3)
(4/2.2.3.2)
(3.3.3.3)
(3.3.2.2)