User:Virginia-American/Sandbox/table/Group of primitive classes
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Group Structure
n |
|
|
λ(n) |
generators |
|
n |
|
|
λ(n) |
generators |
2 |
{1} |
1 |
1 |
1 |
33 |
C2×C10 |
20 |
10 |
10, 2 |
3 |
C2 |
2 |
2 |
2 |
34 |
C16 |
16 |
16 |
3 |
4 |
C2 |
2 |
2 |
3 |
35 |
C2×C12 |
24 |
12 |
6, 2 |
5 |
C4 |
4 |
4 |
2 |
36 |
C2×C6 |
12 |
6 |
19, 5 |
6 |
C2 |
2 |
2 |
5 |
37 |
C36 |
36 |
36 |
2 |
7 |
C6 |
6 |
6 |
3 |
38 |
C18 |
18 |
18 |
3 |
8 |
C2×C2 |
4 |
2 |
7, 3 |
39 |
C2×C12 |
24 |
12 |
38, 2 |
9 |
C6 |
6 |
6 |
2 |
40 |
C2×C2×C4 |
16 |
4 |
39, 11, 3 |
10 |
C4 |
4 |
4 |
3 |
41 |
C40 |
40 |
40 |
6 |
11 |
C10 |
10 |
10 |
2 |
42 |
C2×C6 |
12 |
6 |
13, 5 |
12 |
C2×C2 |
4 |
2 |
5, 7 |
43 |
C42 |
42 |
42 |
3 |
13 |
C12 |
12 |
12 |
2 |
44 |
C2×C10 |
20 |
10 |
43, 3 |
14 |
C6 |
6 |
6 |
3 |
45 |
C2×C12 |
24 |
12 |
44, 2 |
15 |
C2×C4 |
8 |
4 |
14, 2 |
46 |
C22 |
22 |
22 |
5 |
16 |
C2×C4 |
8 |
4 |
15, 3 |
47 |
C46 |
46 |
46 |
5 |
17 |
C16 |
16 |
16 |
3 |
48 |
C2×C2×C4 |
16 |
4 |
47, 7, 5 |
18 |
C6 |
6 |
6 |
5 |
49 |
C42 |
42 |
42 |
3 |
19 |
C18 |
18 |
18 |
2 |
50 |
C20 |
20 |
20 |
3 |
20 |
C2×C4 |
8 |
4 |
19, 3 |
51 |
C2×C16 |
32 |
16 |
50, 5 |
21 |
C2×C6 |
12 |
6 |
2, 20 |
52 |
C2×C12 |
24 |
12 |
51, 7 |
22 |
C10 |
10 |
10 |
7 |
53 |
C52 |
52 |
52 |
2 |
23 |
C22 |
22 |
22 |
5 |
54 |
C18 |
18 |
18 |
5 |
24 |
C2×C2×C2 |
8 |
2 |
5, 7, 13 |
55 |
C2×C20 |
40 |
20 |
21, 2 |
25 |
C20 |
20 |
20 |
2 |
56 |
C2×C2×C6 |
24 |
6 |
13, 29, 3 |
26 |
C12 |
12 |
12 |
7 |
57 |
C2×C18 |
36 |
18 |
20, 2 |
27 |
C18 |
18 |
18 |
2 |
58 |
C28 |
28 |
28 |
3 |
28 |
C2×C6 |
12 |
6 |
13, 3 |
59 |
C58 |
58 |
58 |
2 |
29 |
C28 |
28 |
28 |
2 |
60 |
C2×C2×C4 |
16 |
4 |
11, 19, 7 |
30 |
C2×C4 |
8 |
4 |
11, 7 |
61 |
C60 |
60 |
60 |
2 |
31 |
C30 |
30 |
30 |
3 |
62 |
C30 |
30 |
30 |
3 |
32 |
C2×C8 |
16 |
8 |
31, 3 |
63 |
C6×C6 |
36 |
6 |
2, 5
|