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Label | Name | Order | Parity | Solvable | Subfields | Low Degree Siblings |
---|---|---|---|---|---|---|
33T1 | $C_{33}$ | $33$ | $1$ | ✓ | $C_3$, $C_{11}$ | |
33T2 | $S_3\times C_{11}$ | $66$ | $-1$ | ✓ | $S_3$, $C_{11}$ | |
33T3 | $D_{33}$ | $66$ | $1$ | ✓ | $S_3$, $D_{11}$ | |
33T4 | $C_3\times D_{11}$ | $66$ | $-1$ | ✓ | $C_3$, $D_{11}$ | |
33T5 | $S_3\times D_{11}$ | $132$ | $-1$ | ✓ | $S_3$, $D_{11}$ | |
33T6 | $C_{11}:C_{15}$ | $165$ | $1$ | ✓ | $C_3$, $C_{11}:C_5$ | |
33T7 | $C_{33}:C_{10}$ | $330$ | $-1$ | ✓ | $S_3$, $C_{11}:C_5$ | |
33T8 | $C_3\times F_{11}$ | $330$ | $-1$ | ✓ | $C_3$, $F_{11}$ | |
33T9 | $C_{33}:C_{10}$ | $330$ | $1$ | ✓ | $S_3$, $F_{11}$ | |
33T10 | $C_{11}^2:C_3$ | $363$ | $1$ | ✓ | $C_3$ | 33T10 x 3 |
33T11 | $S_3\times F_{11}$ | $660$ | $-1$ | ✓ | $S_3$, $F_{11}$ | |
33T12 | $C_{11}^2:C_6$ | $726$ | $-1$ | ✓ | $C_3$ | 33T12 x 3 |
33T13 | $C_{11}^2:S_3$ | $726$ | $-1$ | ✓ | $S_3$ | 33T14 |
33T14 | $C_{11}^2:S_3$ | $726$ | $1$ | ✓ | $S_3$ | 33T13 |
33T15 | $C_{11}^2:D_6$ | $1452$ | $-1$ | ✓ | $S_3$ | 33T15 |
33T16 | $C_{11}^2:C_{15}$ | $1815$ | $1$ | ✓ | $C_3$ | 33T16 x 3 |
33T17 | $C_3\times \PSL(2,11)$ | $1980$ | $1$ | $C_3$, $\PSL(2,11)$ | 33T17, 36T3021 | |
33T18 | $C_3^5:C_{11}$ | $2673$ | $1$ | ✓ | $C_{11}$ | 33T18 x 10 |
33T19 | $C_{11}^2:C_{30}$ | $3630$ | $-1$ | ✓ | $C_3$ | 33T19 x 3 |
33T20 | $C_5^4:D_4$ | $3630$ | $1$ | ✓ | $S_3$ | 33T21 |
33T21 | $C_5^4:D_4$ | $3630$ | $-1$ | ✓ | $S_3$ | 33T20 |
33T22 | $S_3\times \PSL(2,11)$ | $3960$ | $-1$ | $S_3$, $\PSL(2,11)$ | 33T22, 36T4977 | |
33T23 | $C_{11}\wr C_3$ | $3993$ | $1$ | ✓ | $C_3$ | 33T23 x 39 |
33T24 | $C_3^5:C_{22}$ | $5346$ | $-1$ | ✓ | $C_{11}$ | 33T24 x 10 |
33T25 | $C_{11}^2:(S_3\times C_{10})$ | $7260$ | $-1$ | ✓ | $S_3$ | 33T25 |
33T26 | $C_{11}^3:C_6$ | $7986$ | $-1$ | ✓ | $C_3$ | 33T26 x 39 |
33T27 | $C_{11}\wr S_3$ | $7986$ | $-1$ | ✓ | $S_3$ | 33T27 x 9 |
33T28 | $C_{11}^2:D_{33}$ | $7986$ | $1$ | ✓ | $S_3$ | 33T28 x 9 |
33T29 | $C_3^5:C_{33}$ | $8019$ | $1$ | ✓ | $C_{11}$ | 33T29 x 21 |
33T30 | $C_3^5:C_{11}:C_5$ | $13365$ | $1$ | ✓ | $C_{11}:C_5$ | |
33T31 | $C_{11}^3:A_4$ | $15972$ | $1$ | ✓ | $C_3$ | 44T142 |
33T32 | $C_{11}^3:D_6$ | $15972$ | $-1$ | ✓ | $S_3$ | 33T32 x 9 |
33T33 | $C_3^6.C_{22}$ | $16038$ | $-1$ | ✓ | $C_{11}$ | 33T33 x 21 |
33T34 | $C_{11}^3:C_{15}$ | $19965$ | $1$ | ✓ | $C_3$ | 33T34 x 39 |
33T35 | $C_3\times M_{11}$ | $23760$ | $1$ | $C_3$, $M_{11}$ | 36T12768 | |
33T36 | $C_3^5:C_{11}:C_{10}$ | $26730$ | $-1$ | ✓ | $C_{11}:C_5$ | |
33T37 | $D_{11}\wr C_3$ | $31944$ | $-1$ | ✓ | $C_3$ | 44T229 |
33T38 | $C_{11}^3:S_4$ | $31944$ | $-1$ | ✓ | $S_3$ | 44T231 |
33T39 | $C_{11}^3:S_4$ | $31944$ | $1$ | ✓ | $S_3$ | 44T230 |
33T41 | $C_{11}^3:C_{30}$ | $39930$ | $-1$ | ✓ | $C_3$ | 33T41 x 39 |
33T42 | $C_{11}^3:(C_5\times S_3)$ | $39930$ | $-1$ | ✓ | $S_3$ | 33T42 x 9 |
33T43 | $C_{11}^3:(C_5\times S_3)$ | $39930$ | $1$ | ✓ | $S_3$ | 33T43 x 9 |
33T44 | $C_3^5:C_{11}:C_{15}$ | $40095$ | $1$ | ✓ | $C_{11}:C_5$ | 33T44 |
33T45 | $S_3\times M_{11}$ | $47520$ | $-1$ | $S_3$, $M_{11}$ | 36T16207 | |
33T46 | $D_{11}\wr S_3$ | $63888$ | $-1$ | ✓ | $S_3$ | 44T293 |
33T47 | $C_{11}^3:(C_5\times A_4)$ | $79860$ | $1$ | ✓ | $C_3$ | 44T296 |
33T48 | $C_{11}^3:(S_3\times C_{10})$ | $79860$ | $-1$ | ✓ | $S_3$ | 33T48 x 9 |
33T49 | $C_3^5:C_{33}:C_{10}$ | $80190$ | $-1$ | ✓ | $C_{11}:C_5$ | 33T49 |
33T50 | $C_{11}^3:(C_5^2:C_3)$ | $99825$ | $1$ | ✓ | $C_3$ | |
33T51 | $D_{11}^3:C_{15}$ | $159720$ | $-1$ | ✓ | $C_3$ | 44T326 |
Results are complete for degrees $\leq 23$.