1 |
G ≤ Sym(7a) |
2-trans., on cosets of S4 (1st max.) |
2 |
G ≤ Sym(7b) |
2-trans., on cosets of S4 (2nd max.) |
3 |
G ≤ Sym(8) |
2-trans., on cosets of 7:3 (3rd max.) |
4 |
G ≤ Sym(14a) |
rank 3, on cosets of A4 < S4 |
5 |
G ≤ Sym(14b) |
rank 3, on cosets of A4 < S4 |
6 |
G ≤ Sym(21) |
rank 6, on cosets of D8 < S4 |
7 |
G ≤ Sym(24) |
rank 6, on cosets of 7 < 7:3 |
8 |
G ≤ Sym(28) |
rank 7, on cosets of S3 < S4 |
9 |
G ≤ Sym(42a) |
rank 15, on cosets of 22 < S4 |
10 |
G ≤ Sym(42b) |
rank 15, on cosets of 22 < S4 |
11 |
G ≤ Sym(42c) |
rank 12, on cosets of 4 < S4 |
12 |
G ≤ Sym(56) |
rank 20, on cosets of 3 < S4 |
13 |
G ≤ Sym(84) |
rank 44, on cosets of 2 < S4 |
14 |
G ≤ Sym(168) |
rank 168, on cosets of 1 < S4 |
15 |
G ≤ GL(3a,2) |
|
16 |
G ≤ GL(3b,2) |
|
17 |
G ≤ GL(8,2) |
|
18 |
G ≤ GL(6a,3) |
|
19 |
G ≤ GL(6b,3) |
|
20 |
G ≤ GL(7,3) |
|
21 |
G ≤ GL(3,7) |
|
22 |
G ≤ GL(5,7) |
|
23 |
G ≤ GL(7,7) |
|
24 |
G ≤ GL(3a,9) |
|
25 |
G ≤ GL(3b,9) |
|
26 |
G ≤ GL(6a,ℤ) |
|
27 |
G ≤ GL(6b,ℤ) |
|
28 |
G ≤ GL(7,ℤ) |
|
29 |
G ≤ GL(8,ℤ) |
|
30 |
G ≤ GL(3a,Field([Sqrt(-7)])) |
|
31 |
G ≤ GL(3b,Field([Sqrt(-7)])) |
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