Carbocation stability order I was wondering whether the following order (from here) is correct:




In the first inequality, why did 9 hyperconjugations dominated resonance effect of benzene ring?  
In the last inequality doesn't the 2 hyperconjugations of vinylic carbocation overpower the methyl carbocation?   


In middle there is:
allyl = secondary     


Why is there an equality here when resonance dominates inductive effect?
About the first two, it's an exception to the rule that resonance dominates hyperconjugation.

About the last inequality, the vinyl cation is sp hybridized which means it is highly electronegative, and a positive charge on it will be very unstable.

About the middle inequality, the benzyl carbocation (with five resonance structures) is more stable than allyl carbocation (two resonance structures). You may verify this here.