Find an element of order 4 in the alternating group A6? Does A6 have an element of order 6?
A6 has 6!/2 elements=360
Prime factorization of this is 2^3*3^2*5
Therefore it has elements of order 8, 9 and 5, so no element of order 6?
but this means i cant do the first part
Some insight would be great
Thanks in advance