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Label | Name | Order | Parity | Solvable | Subfields | Low Degree Siblings |
---|---|---|---|---|---|---|
25T1 | $C_{25}$ | $25$ | $1$ | ✓ | $C_5$ | |
25T2 | $C_5^2$ | $25$ | $1$ | ✓ | $C_5$ x 6 | |
25T3 | $C_5\times D_5$ | $50$ | $1$ | ✓ | $C_5$, $D_{5}$ | 10T6 x 2 |
25T4 | $D_{25}$ | $50$ | $1$ | ✓ | $D_{5}$ | |
25T5 | $C_5:D_5$ | $50$ | $1$ | ✓ | $D_{5}$ x 6 | |
25T6 | $C_5^2:C_3$ | $75$ | $1$ | ✓ | 15T9 x 2 | |
25T7 | $C_5\times F_5$ | $100$ | $-1$ | ✓ | $C_5$, $F_5$ | 20T29 |
25T8 | $C_{25}:C_4$ | $100$ | $1$ | ✓ | $F_5$ | |
25T9 | $C_5:F_5$ | $100$ | $1$ | ✓ | $F_5$ x 6 | |
25T10 | $C_5:F_5$ | $100$ | $1$ | ✓ | $F_5$ x 2 | 10T10 x 2, 20T27 x 2 |
25T11 | $C_5:F_5$ | $100$ | $-1$ | ✓ | $D_{5}$, $F_5$ | 20T26 |
25T12 | $D_5^2$ | $100$ | $1$ | ✓ | $D_{5}$ x 2 | 10T9 x 2, 20T28 x 2 |
25T13 | $C_{25}:C_5$ | $125$ | $1$ | ✓ | $C_5$ | |
25T14 | $\He_5$ | $125$ | $1$ | ✓ | $C_5$ | 25T14 x 5 |
25T15 | $C_5^2:C_6$ | $150$ | $1$ | ✓ | 15T12 x 2, 30T35 x 2 | |
25T16 | $C_5^2:S_3$ | $150$ | $1$ | ✓ | 15T13, 15T14, 30T37, 30T38 | |
25T17 | $C_5^2:Q_8$ | $200$ | $1$ | ✓ | 10T20 x 3, 20T47 x 3, 40T166 x 3 | |
25T18 | $D_5\times F_5$ | $200$ | $-1$ | ✓ | $D_{5}$, $F_5$ | 20T51, 40T168 |
25T19 | $D_5:F_5$ | $200$ | $1$ | ✓ | $F_5$ x 2 | 10T17 x 2, 20T54 x 2, 40T169 x 2 |
25T20 | $C_5^2:C_8$ | $200$ | $-1$ | ✓ | 10T18 x 3, 20T56 x 3, 40T171 x 3 | |
25T21 | $D_5\wr C_2$ | $200$ | $1$ | ✓ | 10T19, 10T21 x 2, 20T48 x 2, 20T50 x 2, 20T55, 20T57 x 2, 40T167 x 2, 40T170 | |
25T22 | $C_5^2:D_5$ | $250$ | $1$ | ✓ | $D_{5}$ | 25T22 x 5 |
25T23 | $C_5^2:C_{10}$ | $250$ | $1$ | ✓ | $D_{5}$ | 25T24 |
25T24 | $C_5^2:C_{10}$ | $250$ | $1$ | ✓ | $C_5$ | 25T23 |
25T25 | $C_{25}:C_{10}$ | $250$ | $1$ | ✓ | $D_{5}$ | |
25T26 | $C_5^2:C_{12}$ | $300$ | $1$ | ✓ | 15T19 x 2, 30T78 x 2 | |
25T27 | $C_5^2:D_6$ | $300$ | $1$ | ✓ | 15T18 x 2, 30T66 x 2, 30T72 x 2, 30T80 x 2 | |
25T28 | $C_5^2:C_3:C_4$ | $300$ | $1$ | ✓ | 15T17 x 2, 30T71 x 2 | |
25T30 | $D_5^2.C_2^2$ | $400$ | $1$ | ✓ | 10T27 x 3, 20T90 x 3, 20T96 x 3, 20T97 x 3, 40T393 x 3, 40T394 x 3, 40T395 x 3 | |
25T31 | $C_5^2:\OD_{16}$ | $400$ | $-1$ | ✓ | 10T28, 20T104, 20T107, 20T109, 20T115, 40T397, 40T398, 40T399, 40T400 | |
25T32 | $F_5^2$ | $400$ | $-1$ | ✓ | $F_5$ x 2 | 20T102, 40T396 |
25T33 | $C_5^2:F_5$ | $500$ | $-1$ | ✓ | $F_5$ | 25T33 x 5 |
25T34 | $C_5^2:C_{20}$ | $500$ | $1$ | ✓ | $F_5$ | 25T37 |
25T35 | $C_5^2:F_5$ | $500$ | $-1$ | ✓ | $F_5$ | 25T35 |
25T36 | $C_5^2:F_5$ | $500$ | $-1$ | ✓ | $D_{5}$ | 25T39 |
25T37 | $C_5^2:C_{20}$ | $500$ | $-1$ | ✓ | $C_5$ | 25T34 |
25T38 | $C_5^2:D_{10}$ | $500$ | $1$ | ✓ | $D_{5}$ | 25T38 |
25T39 | $C_5^2:F_5$ | $500$ | $1$ | ✓ | $F_5$ | 25T36 |
25T40 | $C_{25}:C_{20}$ | $500$ | $1$ | ✓ | $F_5$ | |
25T41 | $C_5^2:\SL(2,3)$ | $600$ | $1$ | ✓ | 30T126 | |
25T43 | $C_5^2:(C_4\times S_3)$ | $600$ | $1$ | ✓ | 15T27 x 2, 30T150 x 2, 30T153 x 2, 30T155 x 2 | |
25T45 | $C_5^2:C_3:C_8$ | $600$ | $-1$ | ✓ | 30T143 | |
25T47 | $C_5^2:C_{24}$ | $600$ | $-1$ | ✓ | 30T131 | |
25T48 | $C_5^3:C_5$ | $625$ | $1$ | ✓ | $C_5$ | 25T48 x 4 |
25T49 | $C_5^3.C_5$ | $625$ | $1$ | ✓ | $C_5$ | 25T49 x 4 |
25T50 | $F_5\wr C_2$ | $800$ | $-1$ | ✓ | 10T33, 20T155, 20T161, 20T167, 20T169, 40T874, 40T875, 40T876, 40T877, 40T878, 40T879, 40T880, 40T881, 40T882, 40T883 | |
25T51 | $C_5^2:(C_2\times F_5)$ | $1000$ | $-1$ | ✓ | $F_5$ | 25T51 |
25T52 | $C_5^2:(C_4\times D_5)$ | $1000$ | $1$ | ✓ | $F_5$ | 25T53 |
25T53 | $C_5^2:(C_4\times D_5)$ | $1000$ | $-1$ | ✓ | $D_{5}$ | 25T52 |
25T56 | $\AGammaL(1,25)$ | $1200$ | $-1$ | ✓ | 30T239 |
Results are complete for degrees $\leq 23$.