Order 71

Class	Number of isomorphism classes	date	machine
1	1
2	[Non-symmetric, AIso to Schurian]
5
7
10	[Non-symmetric]
14	[Non-symmetric]
35	1 (Schurian)
70 (thin)	1

Order 73

Class	Number of isomorphism classes	date	machine
1	1
2	[Symmetric, AIso to Schurian]
3	[Symmetric, AIso to Schurian]
4
6
8	[Non-symmetric]
9
12
18
24	[Non-symmetric]
36	1 (Schurian)
72 (thin)	1

Order 79

Class	Number of isomorphism classes	date	machine
1	1
2	[Non-symmetric, AIso to Schurian]
3	[Symmetric, AIso to Schurian]
6	[Non-symmetric, AIso to Schurian]
13
26	[Non-symmetric]
39	1 (Schurian)
78 (thin)	1

Order 83

Class	Number of isomorphism classes	date	machine
1	1
2	[Symmetric, AIso to Schurian]
41	1 (Schurian)
82 (thin)	1

Order 89

Class	Number of isomorphism classes	date	machine
1	1
2	[Symmetric, AIso to Schurian]
4
8	[Non-symmetric]
11
22
44	1 (Schurian)
88 (thin)	1

Order 97

Class	Number of isomorphism classes	date	machine
1	1
2	[Symmetric, AIso to Schurian]
3	[Symmetric, AIso to Schurian]
4
6
8
12
16
24
32	[Non-symmetric]
48	1 (Schurian)
96 (thin)	1