28 singularity types
| Singularity types | \(K^2\) | Orders of local fundamental groups |
Local indices | Index | Cascade |
|---|---|---|---|---|---|
| \(\phi\) | 9 | 1 | - | 1 | cascade |
| [2] | 8 | 2 | 1 | 1 | cascade |
| [2], [2, 2] | 6 | 2, 3 | 1, 1 | 1 | cascade |
| [2, 2, 2, 2] | 5 | 5 | 1 | 1 | cascade |
| [2], [2], [2, 2, 2] | 4 | 2, 2, 4 | 1, 1, 1 | 1 | cascade |
| [2, [2], [2], [2, 2]] | 4 | 12 | 1 | 1 | cascade |
| [2], [2, 2, 2, 2, 2] | 3 | 2, 6 | 1, 1 | 1 | cascade |
| [2, 2], [2, 2], [2, 2] | 3 | 3, 3, 3 | 1, 1, 1 | 1 | cascade |
| [2, [2], [2, 2], [2, 2]] | 3 | 24 | 1 | 1 | cascade |
| [2], [2, 2, 2], [2, 2, 2] | 2 | 2, 4, 4 | 1, 1, 1 | 1 | cascade |
| [2, 2], [2, 2, 2, 2, 2] | 2 | 3, 6 | 1, 1 | 1 | cascade |
| [2, 2, 2, 2, 2, 2, 2] | 2 | 8 | 1 | 1 | cascade |
| [2], [2], [2], [2, [2], [2], [2]] | 2 | 2, 2, 2, 8 | 1, 1, 1, 1 | 1 | cascade |
| [2], [2, [2], [2], [2, 2, 2]] | 2 | 2, 16 | 1, 1 | 1 | cascade |
| [2, [2], [2, 2], [2, 2, 2]] | 2 | 48 | 1 | 1 | cascade |
| [2], [2], [2, 2, 2], [2, 2, 2] | 1 | 2, 2, 4, 4 | 1, 1, 1, 1 | 1 | cascade |
| [2], [2, 2], [2, 2, 2, 2, 2] | 1 | 2, 3, 6 | 1, 1, 1 | 1 | cascade |
| [2], [2, 2, 2, 2, 2, 2, 2] | 1 | 2, 8 | 1, 1 | 1 | cascade |
| [2, 2], [2, 2], [2, 2], [2, 2] | 1 | 3, 3, 3, 3 | 1, 1, 1, 1 | 1 | cascade |
| [2, 2, 2, 2], [2, 2, 2, 2] | 1 | 5, 5 | 1, 1 | 1 | cascade |
| [2, 2, 2, 2, 2, 2, 2, 2] | 1 | 9 | 1 | 1 | cascade |
| [2], [2], [2, [2], [2], [2, 2, 2]] | 1 | 2, 2, 16 | 1, 1, 1 | 1 | cascade |
| [2], [2, [2], [2, 2], [2, 2, 2]] | 1 | 2, 48 | 1, 1 | 1 | cascade |
| [2, 2], [2, [2], [2, 2], [2, 2]] | 1 | 3, 24 | 1, 1 | 1 | cascade |
| [2, 2, 2], [2, [2], [2], [2, 2]] | 1 | 4, 12 | 1, 1 | 1 | cascade |
| [2, [2], [2], [2, 2, 2, 2, 2]] | 1 | 24 | 1 | 1 | cascade |
| [2, [2], [2, 2], [2, 2, 2, 2]] | 1 | 120 | 1 | 1 | cascade |
| [2, [2], [2], [2]], [2, [2], [2], [2]] | 1 | 8, 8 | 1, 1 | 1 | cascade |