| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 41T2 |
$D_{41}$ |
$82$ |
$1$ |
✓ |
$-1$ |
$22$ |
|
|
| 42T7 |
$C_7\times A_4$ |
$84$ |
$1$ |
✓ |
$-1$ |
$28$ |
$C_3$, $A_4$, $C_7$, $C_{21}$ |
28T17 |
| 42T8 |
$C_7:A_4$ |
$84$ |
$1$ |
✓ |
$-1$ |
$12$ |
$C_3$, $A_4$, $C_7:C_3$, $C_7:C_3$ |
28T16 |
| 42T9 |
$C_3\times D_{14}$ |
$84$ |
$-1$ |
✓ |
$-1$ |
$30$ |
$C_2$, $C_3$, $C_6$, $D_{7}$, $D_{14}$, $C_3\times D_7$ |
42T9 |
| 42T10 |
$C_2\times F_7$ |
$84$ |
$-1$ |
✓ |
$-1$ |
$14$ |
$C_2$, $C_3$, $C_6$, $F_7$, $F_7 \times C_2$, $F_7$ |
14T7 x 2, 28T15, 42T10 |
| 42T11 |
$D_{42}$ |
$84$ |
$-1$ |
✓ |
$-1$ |
$24$ |
$C_2$, $S_3$, $D_{6}$, $D_{7}$, $D_{14}$, $D_{21}$ |
42T11 |
| 42T12 |
$S_3\times C_{14}$ |
$84$ |
$-1$ |
✓ |
$-1$ |
$42$ |
$C_2$, $S_3$, $D_{6}$, $C_7$, $C_{14}$, $S_3\times C_7$ |
42T12 |
| 42T13 |
$S_3\times D_7$ |
$84$ |
$-1$ |
✓ |
$-1$ |
$15$ |
$C_2$, $S_3$, $D_{6}$, $D_{7}$, $D_{14}$, $S_3\times D_7$ |
21T8, 42T14, 42T15 |
| 42T14 |
$S_3\times D_7$ |
$84$ |
$-1$ |
✓ |
$-1$ |
$15$ |
$C_2$, $S_3$, $S_3$, $D_{7}$, $D_{14}$, $S_3\times D_7$ |
21T8, 42T13, 42T15 |
| 42T15 |
$S_3\times D_7$ |
$84$ |
$-1$ |
✓ |
$-1$ |
$15$ |
$C_2$, $S_3$, $D_{6}$, $D_{7}$, $D_{7}$, $S_3\times D_7$ |
21T8, 42T13, 42T14 |
| 42T16 |
$C_{21}:C_6$ |
$126$ |
$-1$ |
✓ |
$-1$ |
$30$ |
$C_2$, $C_3$, $C_6$, $C_7:C_3$, $(C_7:C_3) \times C_2$, $C_{21}:C_3$ |
42T16 x 2 |
| 42T17 |
$C_3\times F_7$ |
$126$ |
$-1$ |
✓ |
$-1$ |
$21$ |
$C_2$, $C_3$, $C_6$, $F_7$, $F_7$, $C_3\times F_7$ |
21T9 x 3, 42T17 x 2 |
| 42T18 |
$C_{21}:C_6$ |
$126$ |
$-1$ |
✓ |
$-1$ |
$12$ |
$C_2$, $S_3$, $S_3$, $F_7$, $F_7$, $C_{21}:C_6$ |
21T10, 42T22 |
| 42T19 |
$C_{21}:C_6$ |
$126$ |
$-1$ |
✓ |
$-1$ |
$15$ |
$C_2$, $S_3$, $S_3$, $C_7:C_3$, $(C_7:C_3) \times C_2$, $C_{21}:C_6$ |
21T11, 42T23 |
| 42T20 |
$S_3\times C_{21}$ |
$126$ |
$-1$ |
✓ |
$-1$ |
$63$ |
$C_2$, $S_3\times C_3$, $C_7$, $C_{14}$ |
|
| 42T21 |
$C_3\times D_{21}$ |
$126$ |
$-1$ |
✓ |
$-1$ |
$36$ |
$C_2$, $S_3\times C_3$, $D_{7}$, $D_{7}$ |
|
| 42T22 |
$C_{21}:C_6$ |
$126$ |
$-1$ |
✓ |
$-1$ |
$12$ |
$C_2$, $S_3\times C_3$, $F_7$, $F_7$ |
21T10, 42T18 |
| 42T23 |
$C_{21}:C_6$ |
$126$ |
$-1$ |
✓ |
$-1$ |
$15$ |
$C_2$, $S_3\times C_3$, $C_7:C_3$, $(C_7:C_3) \times C_2$ |
21T11, 42T19 |
| 43T2 |
$D_{43}$ |
$86$ |
$-1$ |
✓ |
$-1$ |
$23$ |
|
|
| 44T5 |
$D_4\times C_{11}$ |
$88$ |
$-1$ |
✓ |
$2$ |
$55$ |
$C_2$, $D_{4}$, $C_{11}$, $C_{22}$ |
44T5 |
| 44T6 |
$C_{11}:D_4$ |
$88$ |
$-1$ |
✓ |
$-1$ |
$25$ |
$C_2$, $D_{4}$, $D_{11}$, $D_{11}$ |
44T8 |
| 44T7 |
$C_4\times D_{11}$ |
$88$ |
$-1$ |
✓ |
$-1$ |
$28$ |
$C_2$, $C_4$, $D_{11}$, $D_{22}$ |
44T7 |
| 44T8 |
$C_{11}:D_4$ |
$88$ |
$-1$ |
✓ |
$-1$ |
$25$ |
$C_2$, $D_{4}$, $D_{11}$, $D_{22}$ |
44T6 |
| 44T9 |
$D_{44}$ |
$88$ |
$-1$ |
✓ |
$-1$ |
$25$ |
$C_2$, $D_{4}$, $D_{11}$, $D_{22}$ |
44T9 |
| 44T10 |
$C_2\times D_{22}$ |
$88$ |
$1$ |
✓ |
$-1$ |
$28$ |
$C_2$ x 3, $C_2^2$, $D_{11}$, $D_{22}$ x 3 |
44T10 x 3 |
| 45T3 |
$S_3\times C_{15}$ |
$90$ |
$-1$ |
✓ |
$-1$ |
$45$ |
$C_3$, $S_3$, $C_5$, $S_3\times C_3$, $C_{15}$, $S_3 \times C_5$ |
30T15 |
| 45T4 |
$D_{45}$ |
$90$ |
$1$ |
✓ |
$-1$ |
$24$ |
$S_3$, $D_{5}$, $D_{9}$, $D_{15}$ |
|
| 45T5 |
$C_3\times D_{15}$ |
$90$ |
$-1$ |
✓ |
$-1$ |
$27$ |
$C_3$, $S_3$, $D_{5}$, $S_3\times C_3$, $D_{15}$, $D_5\times C_3$ |
30T16 |
| 45T6 |
$C_3:D_{15}$ |
$90$ |
$1$ |
✓ |
$-1$ |
$24$ |
$S_3$ x 4, $D_{5}$, $C_3^2:C_2$, $D_{15}$ x 4 |
|
| 45T7 |
$C_9\times D_5$ |
$90$ |
$1$ |
✓ |
$-1$ |
$36$ |
$C_3$, $D_{5}$, $C_9$, $D_5\times C_3$ |
|
| 45T8 |
$C_3^2\times D_5$ |
$90$ |
$1$ |
✓ |
$-1$ |
$36$ |
$C_3$ x 4, $D_{5}$, $C_3^2$, $D_5\times C_3$ x 4 |
|
| 45T9 |
$C_5\times D_9$ |
$90$ |
$1$ |
✓ |
$-1$ |
$30$ |
$S_3$, $C_5$, $D_{9}$, $S_3 \times C_5$ |
|
| 45T10 |
$C_{15}:S_3$ |
$90$ |
$1$ |
✓ |
$-1$ |
$30$ |
$S_3$ x 4, $C_5$, $C_3^2:C_2$, $S_3 \times C_5$ x 4 |
|
| 46T3 |
$D_{46}$ |
$92$ |
$-1$ |
✓ |
$-1$ |
$26$ |
$C_2$, $D_{23}$ |
46T3 |
| 47T2 |
$D_{47}$ |
$94$ |
$-1$ |
✓ |
$-1$ |
$25$ |
|
|
Results are complete for degrees $\leq 23$.
