1 |
G ≤ Sym(65) |
2-trans., on cosets of 22+4:15 (1st max.) |
2 |
G ≤ Sym(208) |
rank 5, on cosets of 5 × A5 (2nd max.) |
3 |
G ≤ Sym(416) |
rank 9, on cosets of 52:S3 (3rd max.) |
4 |
G ≤ Sym(1600) |
rank 48, on cosets of 13:3 (4th max.) |
5 |
G ≤ GL(12,2) |
|
6 |
G ≤ GL(16,2) |
|
7 |
G ≤ GL(36,2) |
|
8 |
G ≤ GL(64,2) |
|
9 |
G ≤ GL(96,2) |
|
10 |
G ≤ GL(12,3) |
|
11 |
G ≤ GL(52e,3) |
|
12 |
G ≤ GL(64,3) |
|
13 |
G ≤ GL(75a,3) |
|
14 |
G ≤ GL(75b,3) |
|
15 |
G ≤ GL(75c,3) |
|
16 |
G ≤ GL(75d,3) |
|
17 |
G ≤ GL(78,3) |
|
18 |
G ≤ GL(208,3) |
|
19 |
G ≤ GL(6a,4) |
|
20 |
G ≤ GL(6b,4) |
|
21 |
G ≤ GL(8a,4) |
|
22 |
G ≤ GL(8b,4) |
|
23 |
G ≤ GL(18a,4) |
|
24 |
G ≤ GL(18b,4) |
|
25 |
G ≤ GL(48a,4) |
|
26 |
G ≤ GL(48b,4) |
|
27 |
G ≤ GL(12,5) |
|
28 |
G ≤ GL(39,5) |
|
29 |
G ≤ GL(65,5) |
|
30 |
G ≤ GL(300,5) |
|
31 |
G ≤ GL(12,13) |
|
32 |
G ≤ GL(52e,13) |
|
33 |
G ≤ GL(63,13) |
|
34 |
G ≤ GL(65a,13) |
|
35 |
G ≤ GL(78,13) |
|
36 |
G ≤ GL(208,13) |
|
37 |
G ≤ GL(260,13) |
|
38 |
G ≤ GL(3a,16) |
|
39 |
G ≤ GL(3b,16) |
|
40 |
G ≤ GL(3c,16) |
|
41 |
G ≤ GL(3d,16) |
|
42 |
G ≤ GL(9a,16) |
|
43 |
G ≤ GL(9b,16) |
|
44 |
G ≤ GL(9c,16) |
|
45 |
G ≤ GL(9d,16) |
|
46 |
G ≤ GL(24a,16) |
|
47 |
G ≤ GL(24b,16) |
|
48 |
G ≤ GL(24c,16) |
|
49 |
G ≤ GL(24d,16) |
|
50 |
G ≤ GL(150a,25) |
|
51 |
G ≤ GL(150b,25) |
|
52 |
G ≤ GL(64,ℤ) |
|
53 |
G ≤ GL(65a,ℤ) |
|
54 |
G ≤ GL(260,ℤ) |
|
55 |
G ≤ GL(300,ℤ) |
|
56 |
G ≤ GL(12,Field([E(13)])) |
|
57 |
G ≤ GL(13a,Field([E(5)])) |
|
58 |
G ≤ GL(13b,Field([E(5)])) |
|
59 |
G ≤ GL(13c,Field([E(5)])) |
|
60 |
G ≤ GL(13d,Field([E(5)])) |
|
61 |
G ≤ GL(52a,Field([E(5)])) |
|
62 |
G ≤ GL(52b,Field([E(5)])) |
|
63 |
G ≤ GL(52c,Field([E(5)])) |
|
64 |
G ≤ GL(52d,Field([E(5)])) |
|