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Results (1-50 of 115 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
34T1 $C_{34}$ $34$ $-1$ yes $C_2$, $C_{17}$
34T2 $D_{17}$ $34$ $-1$ yes $C_2$, $D_{17}$ 17T2
34T3 $D_{34}$ $68$ $-1$ yes $C_2$, $D_{17}$ 34T3
34T4 $D_{17}.C_2$ $68$ $-1$ yes $C_2$, $C_{17}:C_{4}$ 17T3
34T5 $C_2\times D_{17}.C_2$ $136$ $-1$ yes $C_2$, $C_{17}:C_{4}$ 34T5
34T6 $C_{17}:C_8$ $136$ $-1$ yes $C_2$, $C_{17}:C_{8}$ 17T4
34T7 $C_2\times C_{17}:C_8$ $272$ $-1$ yes $C_2$, $C_{17}:C_{8}$ 34T7
34T8 $F_{17}$ $272$ $-1$ yes $C_2$, $F_{17}$ 17T5
34T9 t34n9 $544$ $-1$ yes $C_2$, $F_{17}$ 34T9
34T10 t34n10 $578$ $-1$ yes $C_2$ 34T10 x 7
34T11 t34n11 $1156$ $-1$ yes $C_2$ 34T11 x 7
34T12 t34n12 $1156$ $-1$ yes $C_2$ 34T12 x 7
34T13 t34n13 $2312$ $-1$ yes $C_2$ 34T15 x 2
34T14 t34n14 $2312$ $-1$ yes $C_2$ 34T14 x 2
34T15 t34n15 $2312$ $-1$ yes $C_2$ 34T13, 34T15
34T16 t34n16 $2312$ $-1$ yes $C_2$ 34T16 x 7
34T17 t34n17 $2312$ $-1$ yes $C_2$ 34T17 x 7
34T18 t34n18 $4352$ $1$ yes $C_{17}$ 34T18 x 14
34T19 t34n19 $4624$ $-1$ yes $C_2$
34T20 t34n20 $4624$ $-1$ yes $C_2$
34T21 t34n21 $4624$ $-1$ yes $C_2$ 34T21 x 7
34T22 t34n22 $4624$ $-1$ yes $C_2$ 34T22 x 7
34T23 t34n23 $4624$ $-1$ yes $C_2$
34T24 t34n24 $4624$ $-1$ yes $C_2$ 34T24 x 2
34T25 t34n25 $4624$ $-1$ yes $C_2$ 34T26 x 2
34T26 t34n26 $4624$ $-1$ yes $C_2$ 34T25, 34T26
34T27 t34n27 $8160$ $-1$ no $C_2$, $\PSL(2,16)$
34T28 t34n28 $8160$ $-1$ no $C_2$, $\PSL(2,16):C_2$ 17T7
34T29 t34n29 $8704$ $-1$ yes $C_{17}$ 34T29 x 14
34T30 t34n30 $8704$ $1$ yes $D_{17}$ 34T30 x 14, 34T31 x 15
34T31 t34n31 $8704$ $-1$ yes $D_{17}$ 34T30 x 15, 34T31 x 14
34T32 t34n32 $9248$ $-1$ yes $C_2$
34T33 t34n33 $9248$ $-1$ yes $C_2$
34T34 t34n34 $9248$ $-1$ yes $C_2$ 34T34, 34T36
34T35 t34n35 $9248$ $-1$ yes $C_2$ 34T35 x 2
34T36 t34n36 $9248$ $-1$ yes $C_2$ 34T34 x 2
34T37 t34n37 $9248$ $-1$ yes $C_2$
34T38 t34n38 $9248$ $-1$ yes $C_2$
34T39 t34n39 $9248$ $-1$ yes $C_2$
34T40 t34n40 $9248$ $-1$ yes $C_2$
34T41 t34n41 $9248$ $-1$ yes $C_2$ 34T41 x 7
34T42 t34n42 $9248$ $1$ yes $C_2$ 34T42 x 8
34T43 t34n43 $16320$ $-1$ no $C_2$, $\PSL(2,16):C_2$ 34T43
34T44 t34n44 $16320$ $-1$ no $C_2$, $\PSL(2,16):C_4$ 17T8
34T45 t34n45 $17408$ $-1$ yes $D_{17}$ 34T45 x 29
34T46 t34n46 $17408$ $1$ yes $C_{17}:C_{4}$ 34T46 x 2, 34T47 x 3
34T47 t34n47 $17408$ $-1$ yes $C_{17}:C_{4}$ 34T46 x 3, 34T47 x 2
34T48 t34n48 $18496$ $-1$ yes $C_2$
34T49 t34n49 $18496$ $-1$ yes $C_2$
34T50 t34n50 $18496$ $-1$ yes $C_2$
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Results are complete for degrees $\leq 23$.