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Label | Name | Order | Parity | Solvable | Subfields | Low Degree Siblings |
---|---|---|---|---|---|---|
1T1 | Trivial | $1$ | $1$ | ✓ | ||
2T1 | $C_2$ | $2$ | $-1$ | ✓ | ||
3T1 | $C_3$ | $3$ | $1$ | ✓ | ||
4T1 | $C_4$ | $4$ | $-1$ | ✓ | $C_2$ | |
5T1 | $C_5$ | $5$ | $1$ | ✓ | ||
6T1 | $C_6$ | $6$ | $-1$ | ✓ | $C_2$, $C_3$ | |
7T1 | $C_7$ | $7$ | $1$ | ✓ | ||
8T1 | $C_8$ | $8$ | $-1$ | ✓ | $C_2$, $C_4$ | |
9T1 | $C_9$ | $9$ | $1$ | ✓ | $C_3$ | |
10T1 | $C_{10}$ | $10$ | $-1$ | ✓ | $C_2$, $C_5$ | |
11T1 | $C_{11}$ | $11$ | $1$ | ✓ | ||
12T1 | $C_{12}$ | $12$ | $-1$ | ✓ | $C_2$, $C_3$, $C_4$, $C_6$ | |
13T1 | $C_{13}$ | $13$ | $1$ | ✓ | ||
14T1 | $C_{14}$ | $14$ | $-1$ | ✓ | $C_2$, $C_7$ | |
15T1 | $C_{15}$ | $15$ | $1$ | ✓ | $C_3$, $C_5$ | |
16T1 | $C_{16}$ | $16$ | $-1$ | ✓ | $C_2$, $C_4$, $C_8$ | |
17T1 | $C_{17}$ | $17$ | $1$ | ✓ | ||
18T1 | $C_{18}$ | $18$ | $-1$ | ✓ | $C_2$, $C_3$, $C_6$, $C_9$ | |
19T1 | $C_{19}$ | $19$ | $1$ | ✓ | ||
20T1 | $C_{20}$ | $20$ | $-1$ | ✓ | $C_2$, $C_4$, $C_5$, $C_{10}$ | |
21T1 | $C_{21}$ | $21$ | $1$ | ✓ | $C_3$, $C_7$ | |
22T1 | $C_{22}$ | $22$ | $-1$ | ✓ | $C_2$, $C_{11}$ | |
23T1 | $C_{23}$ | $23$ | $1$ | ✓ | ||
24T1 | $C_{24}$ | $24$ | $-1$ | ✓ | $C_2$, $C_3$, $C_4$, $C_6$, $C_8$, $C_{12}$ | |
25T1 | $C_{25}$ | $25$ | $1$ | ✓ | $C_5$ | |
26T1 | $C_{26}$ | $26$ | $-1$ | ✓ | $C_2$, $C_{13}$ | |
27T1 | $C_{27}$ | $27$ | $1$ | ✓ | $C_3$, $C_9$ | |
28T1 | $C_{28}$ | $28$ | $-1$ | ✓ | $C_2$, $C_4$, $C_7$, $C_{14}$ | |
29T1 | $C_{29}$ | $29$ | $1$ | ✓ | ||
30T1 | $C_{30}$ | $30$ | $-1$ | ✓ | $C_2$, $C_3$, $C_5$, $C_6$, $C_{10}$, $C_{15}$ | |
31T1 | $C_{31}$ | $31$ | $1$ | ✓ | ||
32T33 | $C_{32}$ | $32$ | $-1$ | ✓ | $C_2$, $C_4$, $C_8$, $C_{16}$ | |
33T1 | $C_{33}$ | $33$ | $1$ | ✓ | $C_3$, $C_{11}$ | |
34T1 | $C_{34}$ | $34$ | $-1$ | ✓ | $C_2$, $C_{17}$ | |
35T1 | $C_{35}$ | $35$ | $1$ | ✓ | $C_5$, $C_7$ | |
36T1 | $C_{36}$ | $36$ | $-1$ | ✓ | $C_2$, $C_3$, $C_4$, $C_6$, $C_9$, $C_{12}$, $C_{18}$ | |
37T1 | $C_{37}$ | $37$ | $1$ | ✓ | ||
38T1 | $C_{38}$ | $38$ | $-1$ | ✓ | $C_2$, $C_{19}$ | |
39T1 | $C_{39}$ | $39$ | $1$ | ✓ | $C_3$, $C_{13}$ | |
40T1 | $C_{40}$ | $40$ | $-1$ | ✓ | $C_2$, $C_4$, $C_5$, $C_8$, $C_{10}$, $C_{20}$ | |
41T1 | $C_{41}$ | $41$ | $1$ | ✓ | ||
42T1 | $C_{42}$ | $42$ | $-1$ | ✓ | $C_2$, $C_3$, $C_6$, $C_7$, $C_{14}$, $C_{21}$ | |
43T1 | $C_{43}$ | $43$ | $1$ | ✓ | ||
44T1 | $C_{44}$ | $44$ | $-1$ | ✓ | $C_2$, $C_4$, $C_{11}$, $C_{22}$ | |
45T1 | $C_{45}$ | $45$ | $1$ | ✓ | $C_3$, $C_5$, $C_9$, $C_{15}$ | |
46T1 | $C_{46}$ | $46$ | $-1$ | ✓ | $C_2$, $C_{23}$ | |
47T1 | $C_{47}$ | $47$ | $1$ | ✓ |
Results are complete for degrees $\leq 23$.