# |
Algebra (L) |
Fundamental group (H) |
Generators of H (k) |
1 |
\( 6 A_1 \) |
\(Z_2^5\) |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
|
2 |
\( 6 A_1 \) |
\(Z_2^5\) |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
|
3 |
\( 6 A_1 \) |
\(Z_2^5\) |
0 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
|
4 |
\( 3 C_2 \) |
\(Z_2^2\) |
|
5 |
\( 2 A_1+2 C_2 \) |
\(Z_2^3\) |
|
6 |
\( C_2+D_4 \) |
\(Z_2^3\) |
|
7 |
\( 6 A_1^2 \) |
\(Z_2^2\) |
|
8 |
\( A_1+2 C_2+A_1^2 \) |
\(Z_2^2\) |
|
9 |
\( 2 C_2+2 A_1^2 \) |
\(Z_2\) |
|
10 |
\( C_4+2 A_1^2 \) |
\(Z_2\) |
|
11 |
\( A_3+3 A_1^2 \) |
\(Z_2\) |
|
12 |
\( A_3+3 A_1^2 \) |
\(Z_4\) |
|
13 |
\( A_1+C_2+3 A_1^2 \) |
\(Z_2\) |
|
14 |
\( C_3+3 A_1^2 \) |
\(Z_1\) |
|
15 |
\( 2 A_1+4 A_1^2 \) |
\(Z_2\) |
|
16 |
\( 2 A_1+4 A_1^2 \) |
\(Z_2^2\) |
|
17 |
\( A_2+4 A_1^2 \) |
\(Z_1\) |
|
18 |
\( A_2+4 A_1^2 \) |
\(Z_2\) |
|
19 |
\( A_1+5 A_1^2 \) |
\(Z_2\) |
|
20 |
\( 3 A_1+C_2+A_1^4 \) |
\(Z_2^3\) |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
|
21 |
\( 3 A_1+C_2+A_1^4 \) |
\(Z_2^3\) |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
|
22 |
\( A_3+C_2+A_1^4 \) |
\(Z_2^2\) |
|
23 |
\( A_1+2 C_2+A_1^4 \) |
\(Z_2^2\) |
|
24 |
\( A_1+D_4+A_1^4 \) |
\(Z_2^3\) |
|
25 |
\( 2 A_1+C_2+A_1^2+A_1^4 \) |
\(Z_2^2\) |
|
26 |
\( 2 C_2+A_1^2+A_1^4 \) |
\(Z_2\) |
|
27 |
\( C_4+A_1^2+A_1^4 \) |
\(Z_2\) |
|
28 |
\( D_4+A_1^2+A_1^4 \) |
\(Z_2^2\) |
|
29 |
\( A_3+2 A_1^2+A_1^4 \) |
\(Z_2\) |
|
30 |
\( A_1+C_2+2 A_1^2+A_1^4 \) |
\(Z_2\) |
|
31 |
\( C_3+2 A_1^2+A_1^4 \) |
\(Z_1\) |
|
32 |
\( A_2+3 A_1^2+A_1^4 \) |
\(Z_1\) |
|
33 |
\( C_2+3 A_1^2+A_1^4 \) |
\(Z_1\) |
|
34 |
\( 4 A_1+2 A_1^4 \) |
\(Z_2^3\) |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
|
35 |
\( 4 A_1+2 A_1^4 \) |
\(Z_2^3\) |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
|
36 |
\( A_1+A_3+2 A_1^4 \) |
\(Z_2^2\) |
|
37 |
\( 2 A_1+C_2+2 A_1^4 \) |
\(Z_2^2\) |
|
38 |
\( 2 A_1+C_2+2 A_1^4 \) |
\(Z_2^2\) |
|
39 |
\( A_2+C_2+2 A_1^4 \) |
\(Z_2\) |
|
40 |
\( 2 C_2+2 A_1^4 \) |
\(Z_2\) |
|
41 |
\( C_4+2 A_1^4 \) |
\(Z_2\) |
|
42 |
\( D_4+2 A_1^4 \) |
\(Z_2^2\) |
|
43 |
\( 3 A_1+A_1^2+2 A_1^4 \) |
\(Z_2^2\) |
|
44 |
\( A_3+A_1^2+2 A_1^4 \) |
\(Z_2\) |
|
45 |
\( A_1+C_2+A_1^2+2 A_1^4 \) |
\(Z_2\) |
|
46 |
\( C_3+A_1^2+2 A_1^4 \) |
\(Z_1\) |
|
47 |
\( 2 A_1+2 A_1^2+2 A_1^4 \) |
\(Z_2\) |
|
48 |
\( A_2+2 A_1^2+2 A_1^4 \) |
\(Z_1\) |
|
49 |
\( C_2+2 A_1^2+2 A_1^4 \) |
\(Z_1\) |
|
50 |
\( A_1+3 A_1^2+2 A_1^4 \) |
\(Z_1\) |
|
51 |
\( 4 A_1^2+2 A_1^4 \) |
\(Z_1\) |
|
52 |
\( 3 A_1+3 A_1^4 \) |
\(Z_2^2\) |
|
53 |
\( 3 A_1+3 A_1^4 \) |
\(Z_2^2\) |
|
54 |
\( A_1+A_2+3 A_1^4 \) |
\(Z_2\) |
|
55 |
\( A_3+3 A_1^4 \) |
\(Z_2\) |
|
56 |
\( A_1+C_2+3 A_1^4 \) |
\(Z_2\) |
|
57 |
\( A_1+C_2+3 A_1^4 \) |
\(Z_2\) |
|
58 |
\( C_3+3 A_1^4 \) |
\(Z_1\) |
|
59 |
\( 2 A_1+A_1^2+3 A_1^4 \) |
\(Z_2\) |
|
60 |
\( A_2+A_1^2+3 A_1^4 \) |
\(Z_1\) |
|
61 |
\( 2 A_1+4 A_1^4 \) |
\(Z_2\) |
|
62 |
\( 2 A_1+4 A_1^4 \) |
\(Z_2\) |
|
63 |
\( A_2+4 A_1^4 \) |
\(Z_1\) |
|
64 |
\( C_2+4 A_1^4 \) |
\(Z_2\) |
|
65 |
\( A_1+A_1^2+4 A_1^4 \) |
\(Z_1\) |
|
66 |
\( 3 C_2^2 \) |
\(Z_1\) |
|
67 |
\( C_4+C_2^2 \) |
\(Z_2\) |
|
68 |
\( A_3+A_1^2+C_2^2 \) |
\(Z_2\) |
|
69 |
\( A_1+C_2+A_1^2+C_2^2 \) |
\(Z_2\) |
|
70 |
\( C_3+A_1^2+C_2^2 \) |
\(Z_1\) |
|
71 |
\( 2 A_1+2 A_1^2+C_2^2 \) |
\(Z_2\) |
|
72 |
\( A_2+2 A_1^2+C_2^2 \) |
\(Z_1\) |
|
73 |
\( C_2+2 A_1^2+C_2^2 \) |
\(Z_1\) |
|
74 |
\( A_1+3 A_1^2+C_2^2 \) |
\(Z_1\) |
|
75 |
\( A_3+A_1^4+C_2^2 \) |
\(Z_2\) |
|
76 |
\( A_1+C_2+A_1^4+C_2^2 \) |
\(Z_2\) |
|
77 |
\( C_3+A_1^4+C_2^2 \) |
\(Z_1\) |
|
78 |
\( 2 A_1+A_1^2+A_1^4+C_2^2 \) |
\(Z_2\) |
|
79 |
\( A_2+A_1^2+A_1^4+C_2^2 \) |
\(Z_1\) |
|
80 |
\( C_2+A_1^2+A_1^4+C_2^2 \) |
\(Z_1\) |
|
81 |
\( A_1+2 A_1^2+A_1^4+C_2^2 \) |
\(Z_1\) |
|
82 |
\( 2 A_1+2 A_1^4+C_2^2 \) |
\(Z_2\) |
|
83 |
\( A_2+2 A_1^4+C_2^2 \) |
\(Z_1\) |
|
84 |
\( C_2+2 A_1^4+C_2^2 \) |
\(Z_1\) |
|
85 |
\( A_1+A_1^2+2 A_1^4+C_2^2 \) |
\(Z_1\) |
|
86 |
\( 2 A_1+2 C_2^2 \) |
\(Z_2\) |
|
87 |
\( A_2+2 C_2^2 \) |
\(Z_1\) |
|
88 |
\( C_2+2 C_2^2 \) |
\(Z_1\) |
|
89 |
\( A_1+A_1^2+2 C_2^2 \) |
\(Z_1\) |
|
90 |
\( 2 A_1^2+2 C_2^2 \) |
\(Z_1\) |
|
91 |
\( A_1+A_1^4+2 C_2^2 \) |
\(Z_1\) |
|
92 |
\( A_1^2+A_1^4+2 C_2^2 \) |
\(Z_1\) |
|