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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
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Results are complete for degrees $\leq 23$.