Repeat Exercise 20 for the group Z₂₄ with the subnormal series (1) {0} < (12) < (4) < Z₂₄ and (2) {0} < (6) < (3) < Z₂₄.

Data from Exercise 20

Let G be Z₃₆ . Refer to the proof of Theorem 35.11. Let the subnormal series (1) be {0} < (12) < (3) < Z₃₆ and let the subnormal series (2) be {0} < (18) < Z₃₆. Find chains (3) and (4) and exhibit the isomorphic factor groups as described in the proof. Write chains (3) and (4) in the rectangular array shown in the text.