21 basic regular quotient singularity types and
30 irregular quotient singularity types
| Singularity type | Index |
|---|---|
| [28] | 14 |
| [17, 5] | 14 |
| [19, 3] | 14 |
| [3, 10, 3] | 14 |
| [5, 6, 5] | 14 |
| [5, 8, 3] | 14 |
| [6, 3, 2] | 14 |
| [16, 2, 2, 3, 2] | 14 |
| [16, 3, 2, 2, 2] | 14 |
| [3, 7, 2, 2, 3, 2] | 14 |
| [3, 7, 3, 2, 2, 2] | 14 |
| [5, 5, 2, 2, 3, 2] | 14 |
| [5, 5, 3, 2, 2, 2] | 14 |
| [2, 2, 2, 5, 2, 2, 2] | 14 |
| [2, 3, 2, 3, 2, 3, 2] | 14 |
| [2, 3, 2, 4, 2, 2, 2] | 14 |
| [2, 2, 2, 3, 4, 3, 2, 2, 2] | 14 |
| [2, 3, 2, 2, 4, 2, 2, 3, 2] | 14 |
| [2, 3, 2, 2, 4, 3, 2, 2, 2] | 14 |
| [4, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
| [6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
| [16, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
| [3, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
| [5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
| [2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
| [2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
| [2, 2, 2, 3, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
| [2, 3, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
| [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
| [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
| Basic singularity type | Second singularity type | Third singularity type | Index |
|---|---|---|---|
| [15, 15] | [15, 2, 15] | [15, 2, 2, 15] | 14 |
| [15, 4, 5] | [15, 2, 4, 5] | [15, 2, 2, 4, 5] | 14 |
| [15, 6, 3] | [15, 2, 6, 3] | [15, 2, 2, 6, 3] | 14 |
| [3, 6, 6, 3] | [3, 6, 2, 6, 3] | [3, 6, 2, 2, 6, 3] | 14 |
| [5, 4, 4, 5] | [5, 4, 2, 4, 5] | [5, 4, 2, 2, 4, 5] | 14 |
| [5, 4, 6, 3] | [5, 4, 2, 6, 3] | [5, 4, 2, 2, 6, 3] | 14 |
| [15, 3, 2, 2, 3, 2] | [15, 2, 3, 2, 2, 3, 2] | [15, 2, 2, 3, 2, 2, 3, 2] | 14 |
| [15, 3, 3, 2, 2, 2] | [15, 2, 3, 3, 2, 2, 2] | [15, 2, 2, 3, 3, 2, 2, 2] | 14 |
| [3, 6, 3, 2, 2, 3, 2] | [3, 6, 2, 3, 2, 2, 3, 2] | [3, 6, 2, 2, 3, 2, 2, 3, 2] | 14 |
| [3, 6, 3, 3, 2, 2, 2] | [3, 6, 2, 3, 3, 2, 2, 2] | [3, 6, 2, 2, 3, 3, 2, 2, 2] | 14 |
| [5, 4, 3, 2, 2, 3, 2] | [5, 4, 2, 3, 2, 2, 3, 2] | [5, 4, 2, 2, 3, 2, 2, 3, 2] | 14 |
| [5, 4, 3, 3, 2, 2, 2] | [5, 4, 2, 3, 3, 2, 2, 2] | [5, 4, 2, 2, 3, 3, 2, 2, 2] | 14 |
| [2, 2, 2, 3, 3, 3, 3, 2, 2, 2] | [2, 2, 2, 3, 3, 2, 3, 3, 2, 2, 2] | [2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 2] | 14 |
| [2, 3, 2, 2, 3, 3, 2, 2, 3, 2] | [2, 3, 2, 2, 3, 2, 3, 2, 2, 3, 2] | [2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2] | 14 |
| [2, 3, 2, 2, 3, 3, 3, 2, 2, 2] | [2, 3, 2, 2, 3, 2, 3, 3, 2, 2, 2] | [2, 3, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2] | 14 |
| [15, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | [15, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | [15, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
| [3, 6, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | [3, 6, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | [3, 6, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
| [5, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | [5, 4, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | [5, 4, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
| [2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | [2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | [2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
| [2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | [2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | [2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
| [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] | 14 |
Reference: R. Blache, "Two aspects of log terminal surface singularities", Abh. Math. Sem. Univ. Hamburg 64 (1994), 59-87