Refine search
Label | Name | Order | Parity | Solvable | Subfields | Low Degree Siblings |
---|---|---|---|---|---|---|
34T1 | $C_{34}$ | $34$ | $-1$ | ✓ | $C_2$, $C_{17}$ | |
34T2 | $D_{17}$ | $34$ | $-1$ | ✓ | $C_2$, $D_{17}$ | 17T2 |
34T3 | $D_{34}$ | $68$ | $-1$ | ✓ | $C_2$, $D_{17}$ | 34T3 |
34T4 | $C_{17}:C_4$ | $68$ | $-1$ | ✓ | $C_2$, $C_{17}:C_{4}$ | 17T3 |
34T5 | $C_{34}:C_4$ | $136$ | $-1$ | ✓ | $C_2$, $C_{17}:C_{4}$ | 34T5 |
34T6 | $C_{17}:C_8$ | $136$ | $-1$ | ✓ | $C_2$, $C_{17}:C_{8}$ | 17T4 |
34T7 | $C_{34}:C_8$ | $272$ | $-1$ | ✓ | $C_2$, $C_{17}:C_{8}$ | 34T7 |
34T8 | $F_{17}$ | $272$ | $-1$ | ✓ | $C_2$, $F_{17}$ | 17T5 |
34T9 | $C_2\times F_{17}$ | $544$ | $-1$ | ✓ | $C_2$, $F_{17}$ | 34T9 |
34T10 | $C_{17}\times D_{17}$ | $578$ | $-1$ | ✓ | $C_2$ | 34T10 x 7 |
34T11 | $D_{17}^2$ | $1156$ | $-1$ | ✓ | $C_2$ | 34T11 x 7 |
34T12 | $C_{17}^2:C_4$ | $1156$ | $-1$ | ✓ | $C_2$ | 34T12 x 7 |
34T13 | $D_{17}\wr C_2$ | $2312$ | $-1$ | ✓ | $C_2$ | 34T15 x 2 |
34T14 | $C_{17}^2:Q_8$ | $2312$ | $-1$ | ✓ | $C_2$ | 34T14 x 2 |
34T15 | $D_{17}\wr C_2$ | $2312$ | $-1$ | ✓ | $C_2$ | 34T13, 34T15 |
34T16 | $D_{17}^2.C_2$ | $2312$ | $-1$ | ✓ | $C_2$ | 34T16 x 7 |
34T17 | $C_{17}^2:C_8$ | $2312$ | $-1$ | ✓ | $C_2$ | 34T17 x 7 |
34T18 | $C_2^8:C_{17}$ | $4352$ | $1$ | ✓ | $C_{17}$ | 34T18 x 14 |
34T19 | $C_{17}^2:D_8$ | $4624$ | $-1$ | ✓ | $C_2$ | |
34T20 | $C_{17}^2:Q_{16}$ | $4624$ | $-1$ | ✓ | $C_2$ | |
34T21 | $D_{17}^2.C_4$ | $4624$ | $-1$ | ✓ | $C_2$ | 34T21 x 7 |
34T22 | $C_{17}:F_{17}$ | $4624$ | $-1$ | ✓ | $C_2$ | 34T22 x 7 |
34T23 | $C_{17}^2:\SD_{16}$ | $4624$ | $-1$ | ✓ | $C_2$ | |
34T24 | $D_{17}^2.C_2^2$ | $4624$ | $-1$ | ✓ | $C_2$ | 34T24 x 2 |
34T25 | $C_{17}^2:\OD_{16}$ | $4624$ | $-1$ | ✓ | $C_2$ | 34T26 x 2 |
34T26 | $C_{17}^2:\OD_{16}$ | $4624$ | $-1$ | ✓ | $C_2$ | 34T25, 34T26 |
34T27 | $C_2\times \SL(2,16)$ | $8160$ | $-1$ | $C_2$, $\PSL(2,16)$ | ||
34T28 | $\SOMinus(4,4)$ | $8160$ | $-1$ | $C_2$, $\PSL(2,16):C_2$ | 17T7 | |
34T29 | $C_2^9:C_{17}$ | $8704$ | $-1$ | ✓ | $C_{17}$ | 34T29 x 14 |
34T30 | $C_2^8.D_{17}$ | $8704$ | $1$ | ✓ | $D_{17}$ | 34T30 x 14, 34T31 x 15 |
34T31 | $C_2^8.D_{17}$ | $8704$ | $-1$ | ✓ | $D_{17}$ | 34T30 x 15, 34T31 x 14 |
34T32 | $C_{17}^2:D_{16}$ | $9248$ | $-1$ | ✓ | $C_2$ | |
34T33 | $C_{17}^2:Q_{32}$ | $9248$ | $-1$ | ✓ | $C_2$ | |
34T34 | $C_{17}^2:\OD_{32}$ | $9248$ | $-1$ | ✓ | $C_2$ | 34T34, 34T36 |
34T35 | $D_{17}^2.(C_2\times C_4)$ | $9248$ | $-1$ | ✓ | $C_2$ | 34T35 x 2 |
34T36 | $C_{17}^2:\OD_{32}$ | $9248$ | $-1$ | ✓ | $C_2$ | 34T34 x 2 |
34T37 | $C_{17}^2:\SD_{32}$ | $9248$ | $-1$ | ✓ | $C_2$ | |
34T38 | $D_{17}^2.D_4$ | $9248$ | $-1$ | ✓ | $C_2$ | |
34T39 | $D_{17}^2.Q_8$ | $9248$ | $-1$ | ✓ | $C_2$ | |
34T40 | $D_{17}^2.D_4$ | $9248$ | $-1$ | ✓ | $C_2$ | |
34T41 | $D_{17}:F_{17}$ | $9248$ | $-1$ | ✓ | $C_2$ | 34T41 x 7 |
34T42 | $C_{17}^2:C_{32}$ | $9248$ | $1$ | ✓ | $C_2$ | 34T42 x 8 |
34T43 | $C_2\times \SOMinus(4,4)$ | $16320$ | $-1$ | $C_2$, $\PSL(2,16):C_2$ | 34T43 | |
34T44 | $\PSL(2,16).C_4$ | $16320$ | $-1$ | $C_2$, $\PSL(2,16):C_4$ | 17T8 | |
34T45 | $C_2^8.D_{34}$ | $17408$ | $-1$ | ✓ | $D_{17}$ | 34T45 x 29 |
34T46 | $C_2^8.C_{17}:C_4$ | $17408$ | $1$ | ✓ | $C_{17}:C_{4}$ | 34T46 x 2, 34T47 x 3 |
34T47 | $C_2^8.C_{17}:C_4$ | $17408$ | $-1$ | ✓ | $C_{17}:C_{4}$ | 34T46 x 3, 34T47 x 2 |
34T48 | $D_{17}^2.D_8$ | $18496$ | $-1$ | ✓ | $C_2$ | |
34T49 | $D_{17}^2.Q_{16}$ | $18496$ | $-1$ | ✓ | $C_2$ | |
34T50 | $D_{17}^2.\OD_{16}$ | $18496$ | $-1$ | ✓ | $C_2$ |
Results are complete for degrees $\leq 23$.