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Product table for D5d point group

 A1gA2gE1gE2gA1uA2uE1uE2u
A1gA1gA2gE1gE2gA1uA2uE1uE2u
A2gA2gA1gE1gE2gA2uA1uE1uE2u
E1gE1gE1gA1g+A2g+E2gE1g+E2gE1uE1uA1u+A2u+E2uE1u+E2u
E2gE2gE2gE1g+E2gA1g+A2g+E2gE2uE2uE1u+E2uA1u+A2u+E2u
A1uA1uA2uE1uA2uA1gA2gE1gE2g
A2uA2uA1uE1uE2uA2gA1gE1gE2g
E1uE1uE1uA1u+A2u+E2uE1u+E2uE1gE1gA1g+A2g+E2gE1g+E2g
E2uE2uE2uE1u+E2uA1u+A2u+E2uE2gE2gE1g+E2gA1g+A2g+E2g

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