I was going through some problems of chirality when I came across the following compound
My attempt
If we look at its mirror image about a mirror which is perpendicular to plane of the molecule, the two $\ce{-CH3}$ groups which isare pointing upwards and downwards (implied by the wedge and the dash) will interchange their positions but then:
But also the mirror image would be perfectly superimposable on the given compound1,2-dimethylcyclobutane. Hence, it should be achiral, but the answer key givessays it to beis chiral. I couldn't get it. Is this compound an exception?