### Permutation group: (1234)=(12)(13)(14)

How do I show in sage that

```
(1234)=(12)(13)(14)
```

I ~~tried:~~tried make use of:

` `~~PermutationGroup([[(1,2)]]) ~~PermutationGroup([1,2]) * ~~PermutationGroup([[(1,3)]]) * PermutationGroup([[(1,4)]])
~~

but sage says:

```
For implementing multiplication, provide the method '_mul_' for Permutation Group with generators [(1,2)] resp. Permutation Group with generators [(1,3)]
```

But (12) is not a group actually - but permuation. So I tried:

```
Permutation([[(1,2)]]) * Permutation([[(1,3)]]) * Permutation([[(1,4)]])
PermutationGroup([1,3])
```

but it ~~gives:~~doesn't do what is needed.

~~ ~~```
TypeError: unsupported operand type(s) for -: 'list' and 'int'
```