List of quotient singularities with index 12

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

Singularity type Index
[24] 12
[2, 7, 2] 12
[14, 4, 2] 12
[15, 2, 3] 12
[2, 4, 4, 4, 2] 12
[3, 2, 5, 4, 2] 12
[3, 2, 6, 2, 3] 12
[3, 3, 2, 2, 2, 2, 2, 2, 2, 2] 12
[2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2] 12
[14, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 12
[2, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 12
[3, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 12
[2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2] 12
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 12
Basic singularity type Second singularity type Third singularity type Index
[13, 13] [13, 2, 13] [13, 2, 2, 13] 12
[2, [2], [2], [7]] [2, [2], [2], [2, 7]] [2, [2], [2], [2, 2, 7]] 12
[13, 3, 4, 2] [13, 2, 3, 4, 2] [13, 2, 2, 3, 4, 2] 12
[13, 4, 2, 3] [13, 2, 4, 2, 3] [13, 2, 2, 4, 2, 3] 12
[2, 4, 3, 3, 4, 2] [2, 4, 3, 2, 3, 4, 2] [2, 4, 3, 2, 2, 3, 4, 2] 12
[3, 2, 4, 3, 4, 2] [3, 2, 4, 2, 3, 4, 2] [3, 2, 4, 2, 2, 3, 4, 2] 12
[3, 2, 4, 4, 2, 3] [3, 2, 4, 2, 4, 2, 3] [3, 2, 4, 2, 2, 4, 2, 3] 12
[3, [2], [2], [2, 2, 2, 2]] [2, [2], [2], [3, 2, 2, 2, 2]] [2, [2], [2], [2, 3, 2, 2, 2, 2]] 12
[13, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [13, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [13, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 12
[2, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [2, 4, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [2, 4, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 12
[3, 2, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [3, 2, 4, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [3, 2, 4, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 12
[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, 3, 2, 3, 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] 12

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