Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
41T1 |
$C_{41}$ |
$41$ |
$1$ |
✓ |
$1$ |
$41$ |
|
|
42T1 |
$C_{42}$ |
$42$ |
$-1$ |
✓ |
$1$ |
$42$ |
$C_2$, $C_3$, $C_6$, $C_7$, $C_{14}$, $C_{21}$ |
|
42T2 |
$C_7:C_6$ |
$42$ |
$-1$ |
✓ |
$-1$ |
$10$ |
$C_2$, $C_3$, $C_6$, $C_7:C_3$, $(C_7:C_3) \times C_2$, $C_7:C_3$ |
14T5 |
42T3 |
$C_3\times D_7$ |
$42$ |
$-1$ |
✓ |
$-1$ |
$15$ |
$C_2$, $C_3$, $C_6$, $D_{7}$, $D_{7}$, $C_3\times D_7$ |
21T3 |
42T4 |
$F_7$ |
$42$ |
$-1$ |
✓ |
$-1$ |
$7$ |
$C_2$, $C_3$, $C_6$, $F_7$, $F_7$, $F_7$ |
7T4, 14T4, 21T4 |
42T5 |
$D_{21}$ |
$42$ |
$-1$ |
✓ |
$-1$ |
$12$ |
$C_2$, $S_3$, $S_3$, $D_{7}$, $D_{7}$, $D_{21}$ |
21T5 |
42T6 |
$S_3\times C_7$ |
$42$ |
$-1$ |
✓ |
$-1$ |
$21$ |
$C_2$, $S_3$, $S_3$, $C_7$, $C_{14}$, $S_3\times C_7$ |
21T6 |
43T1 |
$C_{43}$ |
$43$ |
$1$ |
✓ |
$1$ |
$43$ |
|
|
44T1 |
$C_{44}$ |
$44$ |
$-1$ |
✓ |
$1$ |
$44$ |
$C_2$, $C_4$, $C_{11}$, $C_{22}$ |
|
44T2 |
$C_2\times C_{22}$ |
$44$ |
$1$ |
✓ |
$1$ |
$44$ |
$C_2$ x 3, $C_2^2$, $C_{11}$, $C_{22}$ x 3 |
|
44T3 |
$C_{11}:C_4$ |
$44$ |
$-1$ |
✓ |
$-1$ |
$14$ |
$C_2$, $C_4$, $D_{11}$, $D_{11}$ |
|
44T4 |
$D_{22}$ |
$44$ |
$1$ |
✓ |
$-1$ |
$14$ |
$C_2$ x 3, $C_2^2$, $D_{11}$, $D_{11}$, $D_{22}$ x 2 |
22T3 x 2 |
45T1 |
$C_{45}$ |
$45$ |
$1$ |
✓ |
$1$ |
$45$ |
$C_3$, $C_5$, $C_9$, $C_{15}$ |
|
45T2 |
$C_3\times C_{15}$ |
$45$ |
$1$ |
✓ |
$1$ |
$45$ |
$C_3$ x 4, $C_5$, $C_3^2$, $C_{15}$ x 4 |
|
46T1 |
$C_{46}$ |
$46$ |
$-1$ |
✓ |
$1$ |
$46$ |
$C_2$, $C_{23}$ |
|
46T2 |
$D_{23}$ |
$46$ |
$-1$ |
✓ |
$-1$ |
$13$ |
$C_2$, $D_{23}$ |
23T2 |
47T1 |
$C_{47}$ |
$47$ |
$1$ |
✓ |
$1$ |
$47$ |
|
|
Results are complete for degrees $\leq 23$.