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