# Confusing partitions of $S_5$ in two different sources

I am trying to understand the partitions of $S_5$ created by it's conjugacy classes but two sources have two different partitions.

So, for example, in the first table, the partition for cycle structure ()()()()() i.e. $5$ $1$-cycle is $5+0+0+0+0$ but in the second table it is $1+1+1+1+1$.

• Normally partition of an integer composed of only positive whole numbers , we generally don't allow zero as a part of the partition, the first table seems to have errors. Second table is fine though. Dec 5 '15 at 2:17