A137315 - cp's OEIS frontend

A137315 a(n) is the least number m such that any finite group of order at least m has at least n automorphisms.

n	a(n)
1	1
2	3
3	7
4	7
5	13
6	13
7	19
8	19
9	31
10	31
11	31
12	31
13	43
14	43
15	43
16	43
17	61
18	61
19	61
20	61
21	67
22	67
23	67
24	67
25	91
26	91
27	91
28	91
29	91
30	91
31	91
32	91
33	121
34	121
35	121
36	121
37	127
38	127
39	127
40	127
41	151
42	151
43	151
44	151
45	151
46	151
47	151
48	151

[1, 3, 7, 7, 13, 13, 19, 19, 31, 31, 31, 31, 43, 43, 43, 43, 61, 61, 61, 61, 67, 67, 67, 67, 91, 91, 91, 91, 91, 91, 91, 91, 121, 121, 121, 121, 127, 127, 127, 127, 151, 151, 151, 151, 151, 151, 151, 151]

cp's OEIS Frontend

A137315 a(n) is the least number m such that any finite group of order at least m has at least n automorphisms.

Table of values

List of values

n	a(n)
1	1
2	3
3	7
4	7
5	13
6	13
7	19
8	19
9	31
10	31
11	31
12	31
13	43
14	43
15	43
16	43
17	61
18	61
19	61
20	61
21	67
22	67
23	67
24	67
25	91
26	91
27	91
28	91
29	91
30	91
31	91
32	91
33	121
34	121
35	121
36	121
37	127
38	127
39	127
40	127
41	151
42	151
43	151
44	151
45	151
46	151
47	151
48	151

n	a(n)
1	1
2	3
3	7
4	7
5	13
6	13
7	19
8	19
9	31
10	31
11	31
12	31
13	43
14	43
15	43
16	43
17	61
18	61
19	61
20	61
21	67
22	67
23	67
24	67
25	91
26	91
27	91
28	91
29	91
30	91
31	91
32	91
33	121
34	121
35	121
36	121
37	127
38	127
39	127
40	127
41	151
42	151
43	151
44	151
45	151
46	151
47	151
48	151

n	a(n)
1	1
2	3
3	7
4	7
5	13
6	13
7	19
8	19
9	31
10	31
11	31
12	31
13	43
14	43
15	43
16	43
17	61
18	61
19	61
20	61
21	67
22	67
23	67
24	67
25	91
26	91
27	91
28	91
29	91
30	91
31	91
32	91
33	121
34	121
35	121
36	121
37	127
38	127
39	127
40	127
41	151
42	151
43	151
44	151
45	151
46	151
47	151
48	151