Number of ways of making a die using the digits $1,2,3,4,5,6$ 
Find the number of ways of making a die using the digits $1,2,3,4,5,6$.

I know that $6!$ is not the correct answer because some arrangements can be obtained just by rotation of the dice. So there will be many repetitions. I tried by fixing any two opposite faces and using circular permutations for the remaining 4 faces. Number of such arrangements is $2!\binom{6}{2}(4-1)!=2\times15\times 6=180$.
But answer given is just $30$. Maybe there are still some repetitions which I am not seeing.

Hint if you fix an arrangement then it has $6$ similar arrangements you see why by rotating in $2$ directions X,Z so answer should be $\frac{180}{6}=30$
