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There are 5 different carbon backbone structures including benzine that are possible isomers of C6H12O.

Of these 5, the benzine ring can only form -OH compounds with the formula C6H12O so there is only one benzine isomer.

The linear carbon chain can form 3 different isomers with a double bonded oxygen; an aldehyde and 2 ketones (on the first, second, or third carbon). It can also form 15 different alkene isomers with an -OH functional group (hyrdoxyl) in different positions on the chain and a double bond on the first, second or third carbon in the chain. This gives 18 total possible isomers of C6H12O with the linear 6 carbon chain.

There are two variation with a five carbon chain and a methyl group on the second and the third carbon in the chain.

There is a 4 carbon chain variation with an ethyl on the second carbon in the chain.

Both the five and four carbon chain variations can make different isomers with a double bonded oxygen in various locations and alkene variations with a double bond in the carbon chain and an -OH functional group (hyrdoxyl) in different positions on the chains.

Over all there are over 60 different isomers of C6H12O that are possible.

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