↑

Learn more

Refine search

Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
Sort order Select

Results (47 matches)

  displayed columns for results
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 $C_{47}$ $47$ $1$ ✓
  displayed columns for results

Results are complete for degrees $\leq 23$.