Please describe the answers in words as well as numbers

The figure shown below is an equilateral triangular prism and two tetrahedral joined together. All edges have the same length, and one face of each tetrahedron coincides with a triangular face of the prism. The positions of the vertices are labeled as shown on the diagram: 2, 3 and 4 for the left-hand face of the prism; 5, 6 and 7 for the right-hand face of the prism: and 1 and 8 for the remaining vertices of the two tetrahedral. We represent the group G of symmetries of the figure as permutations of {1, 2, 3, 4, 5, 6, 7, 8}. (a) Describe geometrically the symmetries of the figure represented in cycle form by (2 3 4)(5 6 7) and (2 4)(5 7). (b) Write down all the symmetries of the figure in cycle form as permutations of the set {1, 2, 3, 4, 5, 6, 7, 8}, and describe each symmetry geometrically. (c) Write down the contumacy classes of G. (d) Determine a normal subgroup of G of order 2, a normal subgroup of order 3, and a normal subgroup of order 6, justifying your answer. The figure shown below is an equilateral triangular prism and two tetrahedral joined together. All edges have the same length, and one face of each tetrahedron coincides with a triangular face of the prism. The positions of the vertices are labeled as shown on the diagram: 2, 3 and 4 for the left-hand face of the prism; 5, 6 and 7 for the right-hand face of the prism: and 1 and 8 for the remaining vertices of the two tetrahedral. We represent the group G of symmetries of the figure as permutations of {1, 2, 3, 4, 5, 6, 7, 8}. (a) Describe geometrically the symmetries of the figure represented in cycle form by (2 3 4)(5 6 7) and (2 4)(5 7). (b) Write down all the symmetries of the figure in cycle form as permutations of the set {1, 2, 3, 4, 5, 6, 7, 8}, and describe each symmetry geometrically. (c) Write down the contumacy classes of G. (d) Determine a normal subgroup of G of order 2, a normal subgroup of order 3, and a normal subgroup of order 6, justifying your