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| Label | Name | Order | Parity | Solvable | Subfields | Low Degree Siblings |
|---|---|---|---|---|---|---|
| 44T1 | $C_{44}$ | $44$ | $-1$ | ✓ | $C_2$, $C_4$, $C_{11}$, $C_{22}$ | |
| 44T2 | $C_2\times C_{22}$ | $44$ | $1$ | ✓ | $C_2$ x 3, $C_2^2$, $C_{11}$, $C_{22}$ x 3 | |
| 44T3 | $C_{11}:C_4$ | $44$ | $-1$ | ✓ | $C_2$, $C_4$, $D_{11}$, $D_{11}$ | |
| 44T4 | $D_{22}$ | $44$ | $1$ | ✓ | $C_2$ x 3, $C_2^2$, $D_{11}$, $D_{11}$, $D_{22}$ x 2 | 22T3 x 2 |
| 44T5 | $C_{11}\times D_4$ | $88$ | $-1$ | ✓ | $C_2$, $D_{4}$, $C_{11}$, $C_{22}$ | 44T5 |
| 44T6 | $D_{22}:C_2$ | $88$ | $-1$ | ✓ | $C_2$, $D_{4}$, $D_{11}$, $D_{11}$ | 44T8 |
| 44T7 | $C_4\times D_{11}$ | $88$ | $-1$ | ✓ | $C_2$, $C_4$, $D_{11}$, $D_{22}$ | 44T7 |
| 44T8 | $D_{22}:C_2$ | $88$ | $-1$ | ✓ | $C_2$, $D_{4}$, $D_{11}$, $D_{22}$ | 44T6 |
| 44T9 | $D_{44}$ | $88$ | $-1$ | ✓ | $C_2$, $D_{4}$, $D_{11}$, $D_{22}$ | 44T9 |
| 44T10 | $C_2^2\times D_{11}$ | $88$ | $1$ | ✓ | $C_2$ x 3, $C_2^2$, $D_{11}$, $D_{22}$ x 3 | 44T10 x 3 |
| 44T11 | $C_{11}\times A_4$ | $132$ | $1$ | ✓ | $A_4$, $C_{11}$ | |
| 44T12 | $D_4\times D_{11}$ | $176$ | $-1$ | ✓ | $C_2$, $D_{4}$, $D_{11}$, $D_{22}$ | 44T12 x 3 |
| 44T13 | $C_{11}:C_{20}$ | $220$ | $-1$ | ✓ | $C_2$, $C_4$, $F_{11}$, $F_{11}$ | |
| 44T14 | $C_2\times F_{11}$ | $220$ | $1$ | ✓ | $C_2$ x 3, $C_2^2$, $F_{11}$, $F_{11}$, $C_2\times F_{11}$ x 2 | 22T6 x 2 |
| 44T15 | $C_4\times C_{11}:C_5$ | $220$ | $-1$ | ✓ | $C_2$, $C_4$, $C_{11}:C_5$, $C_2\times C_{11}:C_5$ | |
| 44T16 | $C_2^2\times C_{11}:C_5$ | $220$ | $1$ | ✓ | $C_2$ x 3, $C_2^2$, $C_{11}:C_5$, $C_2\times C_{11}:C_5$ x 3 | |
| 44T17 | $C_{11}\times S_4$ | $264$ | $-1$ | ✓ | $S_4$, $C_{11}$ | |
| 44T18 | $A_4\times D_{11}$ | $264$ | $1$ | ✓ | $A_4$, $D_{11}$ | |
| 44T19 | $C_{11}:S_4$ | $264$ | $-1$ | ✓ | $S_4$, $D_{11}$ | |
| 44T20 | $C_2^2:F_{11}$ | $440$ | $-1$ | ✓ | $C_2$, $D_{4}$, $F_{11}$, $F_{11}$ | 44T22 |
| 44T21 | $D_4\times C_{11}:C_5$ | $440$ | $-1$ | ✓ | $C_2$, $D_{4}$, $C_{11}:C_5$, $C_2\times C_{11}:C_5$ | 44T21 |
| 44T22 | $C_2^2:F_{11}$ | $440$ | $-1$ | ✓ | $C_2$, $D_{4}$, $F_{11}$, $C_2\times F_{11}$ | 44T20 |
| 44T23 | $D_{44}:C_5$ | $440$ | $-1$ | ✓ | $C_2$, $D_{4}$, $F_{11}$, $C_2\times F_{11}$ | 44T23 |
| 44T24 | $C_4\times F_{11}$ | $440$ | $-1$ | ✓ | $C_2$, $C_4$, $F_{11}$, $C_2\times F_{11}$ | 44T24 |
| 44T25 | $C_2^2\times F_{11}$ | $440$ | $1$ | ✓ | $C_2$ x 3, $C_2^2$, $F_{11}$, $C_2\times F_{11}$ x 3 | 44T25 x 3 |
| 44T26 | $C_{11}\times C_{11}:C_4$ | $484$ | $-1$ | ✓ | $C_2$, $C_4$, $C_{11}\times D_{11}$ | 44T26 x 4 |
| 44T27 | $C_{22}\times D_{11}$ | $484$ | $1$ | ✓ | $C_2$ x 3, $C_2^2$, $C_{11}\times D_{11}$ | 44T27 x 4 |
| 44T28 | $C_{11}:D_{11}.C_2$ | $484$ | $-1$ | ✓ | $C_2$, $C_4$, $C_{11}:D_{11}.C_2$ | 22T8 x 6, 44T28 x 5 |
| 44T29 | $D_{11}^2$ | $484$ | $1$ | ✓ | $C_2$ x 3, $C_2^2$, $D_{11}^2$ | 22T9 x 5, 44T29 x 4 |
| 44T30 | $C_{11}:(C_2\times S_4)$ | $528$ | $-1$ | ✓ | $S_4$, $D_{11}$ | |
| 44T31 | $A_4\times C_{11}:C_5$ | $660$ | $1$ | ✓ | $A_4$, $C_{11}:C_5$ | |
| 44T32 | $C_{11}:(C_{10}\times D_4)$ | $880$ | $-1$ | ✓ | $C_2$, $D_{4}$, $F_{11}$, $C_2\times F_{11}$ | 44T32 x 3 |
| 44T33 | $C_{11}\times D_{22}:C_2$ | $968$ | $-1$ | ✓ | $C_2$, $D_{4}$, $C_{11}\times D_{11}$ | 44T33 x 9 |
| 44T34 | $C_2\times C_{11}:D_{11}.C_2$ | $968$ | $-1$ | ✓ | $C_2$, $C_4$, $C_{11}:D_{11}.C_2$ | 44T34 x 5, 44T35 x 6 |
| 44T35 | $C_2\times C_{11}:D_{11}.C_2$ | $968$ | $1$ | ✓ | $C_2$ x 3, $C_2^2$, $C_{11}:D_{11}.C_2$ | 44T34 x 6, 44T35 x 5 |
| 44T36 | $C_{11}^2:(C_2\times C_4)$ | $968$ | $-1$ | ✓ | $C_2$, $C_4$, $D_{11}^2$ | 44T36 x 9 |
| 44T37 | $C_2\times D_{11}^2$ | $968$ | $1$ | ✓ | $C_2$ x 3, $C_2^2$, $D_{11}^2$ | 44T37 x 9 |
| 44T38 | $C_{11}^2:D_4$ | $968$ | $-1$ | ✓ | $C_2$, $D_{4}$, $D_{11}^2$ | 44T38 x 9 |
| 44T39 | $C_{11}^2:D_4$ | $968$ | $-1$ | ✓ | $C_2$, $D_{4}$, $C_{11}^2:D_4$ | 22T10 x 2, 44T39, 44T40 x 2, 44T41 x 2, 44T44 x 2 |
| 44T40 | $C_{11}^2:D_4$ | $968$ | $1$ | ✓ | $C_2$ x 3, $C_2^2$, $C_{11}^2:D_4$ | 22T10 x 2, 44T39 x 2, 44T40, 44T41 x 2, 44T44 x 2 |
| 44T41 | $C_{11}^2:D_4$ | $968$ | $-1$ | ✓ | $C_2$, $D_{4}$, $C_{11}^2:D_4$ | 22T10 x 2, 44T39 x 2, 44T40 x 2, 44T41, 44T44 x 2 |
| 44T42 | $C_{11}^2:C_8$ | $968$ | $1$ | ✓ | $C_2$, $C_4$ | 44T42 x 2 |
| 44T43 | $C_{11}^2:Q_8$ | $968$ | $1$ | ✓ | $C_2$ x 3, $C_2^2$ | 44T43 x 2 |
| 44T44 | $C_{11}^2:D_4$ | $968$ | $1$ | ✓ | $C_2$ x 3, $C_2^2$ | 22T10 x 2, 44T39 x 2, 44T40 x 2, 44T41 x 2, 44T44 |
| 44T45 | $C_{11}:(C_5\times S_4)$ | $1320$ | $-1$ | ✓ | $S_4$, $C_{11}:C_5$ | |
| 44T46 | $C_{11}:(C_{10}\times A_4)$ | $1320$ | $1$ | ✓ | $A_4$, $F_{11}$ | |
| 44T47 | $C_{11}:(C_5\times S_4)$ | $1320$ | $-1$ | ✓ | $S_4$, $F_{11}$ | |
| 44T48 | $C_{11}^2:(C_2^2:C_4)$ | $1936$ | $-1$ | ✓ | $C_2$, $D_{4}$, $C_{11}:D_{11}.C_2$ | 44T48 x 23 |
| 44T49 | $C_{11}^2:(C_2\times D_4)$ | $1936$ | $-1$ | ✓ | $C_2$, $D_{4}$, $D_{11}^2$ | 44T49 x 19 |
| 44T50 | $C_{11}^2:(C_2\times D_4)$ | $1936$ | $1$ | ✓ | $C_2$ x 3, $C_2^2$, $C_{11}^2:D_4$ | 44T50 x 3, 44T53 x 4 |
Results are complete for degrees $\leq 23$.