| Dimension | Gets the dimension of the permutation. |
| IsDerangement | Gets a Boolean flag indicating whether the permutation is a derangement. |
| IsEven | Gets a Boolean value that is true if the permutation is even and false if the permutation is odd. |
| IsIdentity | Gets a Boolean value indicating whether the permutation is the identity. |
| IsInvolution | Gets a Boolean flag indicating whether the permutation is an involution. |
| Order | Gets the order of the permutation. |