List of quotient singularities with index 16

40 basic regular quotient singularity types and 52 irregular quotient singularity types

Singularity type Index
[32] 16
[2, 9, 2] 16
[6, 3, 6] 16
[6, 6, 2] 16
[7, 2, 3] 16
[18, 2, 6] 16
[18, 5, 2] 16
[22, 2, 2] 16
[19, 2, 2, 3] 16
[2, 2, 12, 2, 2] 16
[2, 5, 4, 5, 2] 16
[2, 5, 8, 2, 2] 16
[4, 2, 2, 6, 2] 16
[4, 2, 3, 2, 3] 16
[4, 3, 2, 2, 2] 16
[6, 2, 4, 2, 6] 16
[6, 2, 4, 5, 2] 16
[6, 2, 8, 2, 2] 16
[6, 3, 2, 2, 4] 16
[18, 2, 2, 2, 4] 16
[20, 2, 2, 2, 2] 16
[3, 2, 2, 5, 5, 2] 16
[3, 2, 2, 9, 2, 2] 16
[6, 2, 5, 2, 2, 3] 16
[2, 2, 10, 2, 2, 2, 2] 16
[2, 5, 6, 2, 2, 2, 2] 16
[3, 2, 2, 6, 2, 2, 3] 16
[4, 2, 2, 2, 4, 5, 2] 16
[4, 2, 2, 2, 8, 2, 2] 16
[4, 2, 2, 3, 2, 2, 4] 16
[6, 2, 4, 2, 2, 2, 4] 16
[6, 2, 6, 2, 2, 2, 2] 16
[3, 2, 2, 7, 2, 2, 2, 2] 16
[4, 2, 2, 2, 5, 2, 2, 3] 16
[2, 2, 2, 2, 8, 2, 2, 2, 2] 16
[4, 2, 2, 2, 4, 2, 2, 2, 4] 16
[4, 2, 2, 2, 6, 2, 2, 2, 2] 16
[2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[6, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[18, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[2, 2, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[2, 5, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[4, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[6, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[3, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[4, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[2, 2, 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, 2, 2] 16
Basic singularity type Second singularity type Third singularity type Index
[17, 17] [17, 2, 17] [17, 2, 2, 17] 16
[2, [2], [2], [9]] [2, [2], [2], [2, 9]] [2, [2], [2], [2, 2, 9]] 16
[4, [2], [2], [3]] [2, [2], [2], [4, 3]] [2, [2], [2], [2, 4, 3]] 16
[17, 3, 2, 6] [17, 2, 3, 2, 6] [17, 2, 2, 3, 2, 6] 16
[17, 3, 5, 2] [17, 2, 3, 5, 2] [17, 2, 2, 3, 5, 2] 16
[17, 7, 2, 2] [17, 2, 7, 2, 2] [17, 2, 2, 7, 2, 2] 16
[3, [2], [2], [3, 2]] [2, [2], [2], [3, 3, 2]] [2, [2], [2], [2, 3, 3, 2]] 16
[17, 4, 2, 2, 3] [17, 2, 4, 2, 2, 3] [17, 2, 2, 4, 2, 2, 3] 16
[2, 2, 7, 7, 2, 2] [2, 2, 7, 2, 7, 2, 2] [2, 2, 7, 2, 2, 7, 2, 2] 16
[2, 5, 3, 3, 5, 2] [2, 5, 3, 2, 3, 5, 2] [2, 5, 3, 2, 2, 3, 5, 2] 16
[2, 5, 3, 7, 2, 2] [2, 5, 3, 2, 7, 2, 2] [2, 5, 3, 2, 2, 7, 2, 2] 16
[6, 2, 3, 3, 2, 6] [6, 2, 3, 2, 3, 2, 6] [6, 2, 3, 2, 2, 3, 2, 6] 16
[6, 2, 3, 3, 5, 2] [6, 2, 3, 2, 3, 5, 2] [6, 2, 3, 2, 2, 3, 5, 2] 16
[6, 2, 3, 7, 2, 2] [6, 2, 3, 2, 7, 2, 2] [6, 2, 3, 2, 2, 7, 2, 2] 16
[17, 3, 2, 2, 2, 4] [17, 2, 3, 2, 2, 2, 4] [17, 2, 2, 3, 2, 2, 2, 4] 16
[17, 5, 2, 2, 2, 2] [17, 2, 5, 2, 2, 2, 2] [17, 2, 2, 5, 2, 2, 2, 2] 16
[3, 2, 2, 4, 3, 5, 2] [3, 2, 2, 4, 2, 3, 5, 2] [3, 2, 2, 4, 2, 2, 3, 5, 2] 16
[3, 2, 2, 4, 7, 2, 2] [3, 2, 2, 4, 2, 7, 2, 2] [3, 2, 2, 4, 2, 2, 7, 2, 2] 16
[6, 2, 3, 4, 2, 2, 3] [6, 2, 3, 2, 4, 2, 2, 3] [6, 2, 3, 2, 2, 4, 2, 2, 3] 16
[2, 2, 7, 5, 2, 2, 2, 2] [2, 2, 7, 2, 5, 2, 2, 2, 2] [2, 2, 7, 2, 2, 5, 2, 2, 2, 2] 16
[2, 5, 3, 5, 2, 2, 2, 2] [2, 5, 3, 2, 5, 2, 2, 2, 2] [2, 5, 3, 2, 2, 5, 2, 2, 2, 2] 16
[3, 2, 2, 4, 4, 2, 2, 3] [3, 2, 2, 4, 2, 4, 2, 2, 3] [3, 2, 2, 4, 2, 2, 4, 2, 2, 3] 16
[4, 2, 2, 2, 3, 3, 5, 2] [4, 2, 2, 2, 3, 2, 3, 5, 2] [4, 2, 2, 2, 3, 2, 2, 3, 5, 2] 16
[4, 2, 2, 2, 3, 7, 2, 2] [4, 2, 2, 2, 3, 2, 7, 2, 2] [4, 2, 2, 2, 3, 2, 2, 7, 2, 2] 16
[6, 2, 3, 3, 2, 2, 2, 4] [6, 2, 3, 2, 3, 2, 2, 2, 4] [6, 2, 3, 2, 2, 3, 2, 2, 2, 4] 16
[6, 2, 3, 5, 2, 2, 2, 2] [6, 2, 3, 2, 5, 2, 2, 2, 2] [6, 2, 3, 2, 2, 5, 2, 2, 2, 2] 16
[3, 2, 2, 4, 5, 2, 2, 2, 2] [3, 2, 2, 4, 2, 5, 2, 2, 2, 2] [3, 2, 2, 4, 2, 2, 5, 2, 2, 2, 2] 16
[3, [2], [2], [2, 2, 2, 2, 2, 2]] [2, [2], [2], [3, 2, 2, 2, 2, 2, 2]] [2, [2], [2], [2, 3, 2, 2, 2, 2, 2, 2]] 16
[4, 2, 2, 2, 3, 4, 2, 2, 3] [4, 2, 2, 2, 3, 2, 4, 2, 2, 3] [4, 2, 2, 2, 3, 2, 2, 4, 2, 2, 3] 16
[2, 2, 2, 2, 5, 5, 2, 2, 2, 2] [2, 2, 2, 2, 5, 2, 5, 2, 2, 2, 2] [2, 2, 2, 2, 5, 2, 2, 5, 2, 2, 2, 2] 16
[4, 2, 2, 2, 3, 3, 2, 2, 2, 4] [4, 2, 2, 2, 3, 2, 3, 2, 2, 2, 4] [4, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 4] 16
[4, 2, 2, 2, 3, 5, 2, 2, 2, 2] [4, 2, 2, 2, 3, 2, 5, 2, 2, 2, 2] [4, 2, 2, 2, 3, 2, 2, 5, 2, 2, 2, 2] 16
[17, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [17, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [17, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[2, 2, 7, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [2, 2, 7, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [2, 2, 7, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[2, 5, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [2, 5, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [2, 5, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[6, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [6, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [6, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[3, 2, 2, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [3, 2, 2, 4, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [3, 2, 2, 4, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[2, 2, 2, 2, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [2, 2, 2, 2, 5, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [2, 2, 2, 2, 5, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[4, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [4, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] [4, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16
[2, 2, 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, 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, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 16

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