Can double bonds be in side chains when naming hydrocarbons?

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kathyt.25
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I just have a quick question about hydrocarbon nomenclature:

When picking the "parent chain", I know that you're supposed to pick the one with the longest carbon chain... does the parent chain always have to have the double/triple bonds? Or can the double/triple bonds be located in a sidechain?

Also, when prioritizing alkyl groups, what has a higher priority - methyl, ethyl, propyl, etc. Or do you just prioritize these straight chain alkyl side groups by alphabetical order?
 
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From what I remember of organic nomenclature the parent must always contain the double or triple. You cannot put as a side-chain. As for alkyl groups you just list them alphabetically.