List of quotient singularities with index 10

10 basic regular quotient singularity types and 14 irregular quotient singularity types

Singularity type Index
[20] 10
[4, 3, 4] 10
[12, 2, 4] 10
[14, 2, 2] 10
[2, 2, 8, 2, 2] 10
[4, 2, 4, 2, 4] 10
[4, 2, 6, 2, 2] 10
[2, 3, 2, 2, 2, 2, 2] 10
[4, 3, 2, 2, 2, 2, 2, 2, 2] 10
[12, 2, 2, 2, 2, 2, 2, 2, 2] 10
[2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2] 10
[4, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2] 10
[2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2] 10
[2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2] 10
Basic singularity type Second singularity type Third singularity type Index
[11, 11] [11, 2, 11] [11, 2, 2, 11] 10
[11, 3, 2, 4] [11, 2, 3, 2, 4] [11, 2, 2, 3, 2, 4] 10
[11, 5, 2, 2] [11, 2, 5, 2, 2] [11, 2, 2, 5, 2, 2] 10
[2, 2, 5, 5, 2, 2] [2, 2, 5, 2, 5, 2, 2] [2, 2, 5, 2, 2, 5, 2, 2] 10
[4, 2, 3, 3, 2, 4] [4, 2, 3, 2, 3, 2, 4] [4, 2, 3, 2, 2, 3, 2, 4] 10
[4, 2, 3, 5, 2, 2] [4, 2, 3, 2, 5, 2, 2] [4, 2, 3, 2, 2, 5, 2, 2] 10
[11, 3, 2, 2, 2, 2, 2, 2, 2, 2] [11, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2] [11, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2] 10
[2, 2, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2] [2, 2, 5, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2] [2, 2, 5, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2] 10
[4, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2] [4, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2] [4, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2] 10
[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, 3, 2, 3, 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] 10

Reference: R. Blache, "Two aspects of log terminal surface singularities", Abh. Math. Sem. Univ. Hamburg 64 (1994), 59-87