Note that, if there exists an association scheme of prime order p and class d, then d must be a divisor of p-1.

Order 60
Class # isomorphism classes date machine character tables
1 1 -- -- --
2 10 SRG on (prime + 1) points
3
4
36 -- 38 0
39
40 -- 43 0
44
45 -- 58 0
59 13

Order 61
Class # isomorphism classes date machine character tables
1 1 -- -- --
12
1 2009/09/28 Core2Quad:090723
30
1
60 1 -- -- --

Order 62
Class # isomorphism classes date machine character tables
1 1 -- -- --
2 2 SRG on (prime + 1) points
32 -- 60 0 -- -- --
61 2 -- -- --

Order 63
Class # isomorphism classes date machine character tables
1 1 -- -- --
42 -- 61 0 -- -- --
62 4 -- -- --

Order 64
Class # isomorphism classes date machine character tables
1 1 -- -- --
48 -- 62 0 -- -- --
63 257 -- -- --

Order 65
Class # isomorphism classes date machine character tables
1 1 -- -- --
39 -- 63 0 -- -- --
64 1 -- -- --

Order 66
Class # isomorphism classes date machine character tables
1 1 -- -- --
44 -- 64 0 -- -- --
65 4 -- -- --

Order 67
Class # isomorphism classes date machine character tables
1 1 -- -- --
33
1

66 1 -- -- --

Order 68
Class # isomorphism classes date machine character tables
1 1 -- -- --
2 4 SRG on (prime + 1) points
51 -- 66 0 -- -- --
67 5 -- -- --

Order 69
Class # isomorphism classes date machine character tables
1 1 -- -- --
46 -- 67 0 -- -- --
68 1 -- -- --