1 |
G ≤ Sym(22) |
3-trans., on cosets of L3(4).22 (2nd max.) |
3 |
G ≤ Sym(77) |
rank 3, on cosets of 24:S6 (3rd max.) |
5 |
G ≤ Sym(231) |
rank 4, on cosets of 25:S5 (4th max.) |
6 |
G ≤ Sym(330) |
rank 5, on cosets of 2 × 23:L3(2) (5th max.) |
7 |
G ≤ Sym(352) |
rank 6, on cosets of A7 < M22 |
11 |
G ≤ Sym(616) |
rank 5, on cosets of A6.22 (6th max.) |
13 |
G ≤ Sym(672) |
rank 6, on cosets of L2(11).2 (7th max.) |
18 |
G ≤ GL(10a,2) |
|
19 |
G ≤ GL(10b,2) |
|
20 |
G ≤ GL(34,2) |
|
21 |
G ≤ GL(98,2) |
|
22 |
G ≤ GL(140,2) |
|
23 |
G ≤ GL(21a,3) |
|
24 |
G ≤ GL(55a,3) |
|
25 |
G ≤ GL(98,3) |
|
26 |
G ≤ GL(99a,3) |
|
27 |
G ≤ GL(210a,3) |
|
28 |
G ≤ GL(231a,3) |
|
29 |
G ≤ GL(21a,5) |
|
30 |
G ≤ GL(55a,5) |
|
31 |
G ≤ GL(98a,5) |
|
32 |
G ≤ GL(133a,5) |
|
33 |
G ≤ GL(210a,5) |
|
34 |
G ≤ GL(385a,5) |
|
35 |
G ≤ GL(560,5) |
|
36 |
G ≤ GL(21a,7) |
|
37 |
G ≤ GL(45a,7) |
|
38 |
G ≤ GL(54a,7) |
|
39 |
G ≤ GL(154a,7) |
|
40 |
G ≤ GL(210a,7) |
|
41 |
G ≤ GL(231a,7) |
|
42 |
G ≤ GL(385a,7) |
|
43 |
G ≤ GL(560,7) |
|
44 |
G ≤ GL(45a,9) |
|
45 |
G ≤ GL(45b,9) |
|
46 |
G ≤ GL(20a,11) |
|
47 |
G ≤ GL(45a,11) |
|
48 |
G ≤ GL(45b,11) |
|
49 |
G ≤ GL(55a,11) |
|
50 |
G ≤ GL(99a,11) |
|
51 |
G ≤ GL(154a,11) |
|
52 |
G ≤ GL(190a,11) |
|
53 |
G ≤ GL(231a,11) |
|
54 |
G ≤ GL(385a,11) |
|
55 |
G ≤ GL(45a,25) |
|
56 |
G ≤ GL(45b,25) |
|