| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 16T227 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2 |
16T227 x 3, 16T259 x 8, 16T261 x 4, 16T273 x 4, 16T283 x 4, 32T506, 32T507 x 2, 32T508 x 4, 32T595 x 4, 32T596 x 8, 32T597 x 2, 32T598 x 4, 32T599 x 4, 32T601, 32T602 x 2, 32T633, 32T657, 32T1130 x 2, 32T1796 |
| 16T259 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$, $C_4$, $C_2^3: C_4$, $((C_8 : C_2):C_2):C_2$ x 2 |
16T227 x 4, 16T259 x 7, 16T261 x 4, 16T273 x 4, 16T283 x 4, 32T506, 32T507 x 2, 32T508 x 4, 32T595 x 4, 32T596 x 8, 32T597 x 2, 32T598 x 4, 32T599 x 4, 32T601, 32T602 x 2, 32T633, 32T657, 32T1130 x 2, 32T1796 |
| 16T261 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_4\times C_2$, $((C_8 : C_2):C_2):C_2$ x 2 |
16T227 x 4, 16T259 x 8, 16T261 x 3, 16T273 x 4, 16T283 x 4, 32T506, 32T507 x 2, 32T508 x 4, 32T595 x 4, 32T596 x 8, 32T597 x 2, 32T598 x 4, 32T599 x 4, 32T601, 32T602 x 2, 32T633, 32T657, 32T1130 x 2, 32T1796 |
| 16T273 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$, $((C_8 : C_2):C_2):C_2$ x 2 |
16T227 x 4, 16T259 x 8, 16T261 x 4, 16T273 x 3, 16T283 x 4, 32T506, 32T507 x 2, 32T508 x 4, 32T595 x 4, 32T596 x 8, 32T597 x 2, 32T598 x 4, 32T599 x 4, 32T601, 32T602 x 2, 32T633, 32T657, 32T1130 x 2, 32T1796 |
| 16T283 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2 |
16T227 x 4, 16T259 x 8, 16T261 x 4, 16T273 x 4, 16T283 x 3, 32T506, 32T507 x 2, 32T508 x 4, 32T595 x 4, 32T596 x 8, 32T597 x 2, 32T598 x 4, 32T599 x 4, 32T601, 32T602 x 2, 32T633, 32T657, 32T1130 x 2, 32T1796 |
| 32T506 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 4, $C_4\times C_2$, $D_4$ x 2, $C_2^2:C_4$ x 2, $(((C_4 \times C_2): C_2):C_2):C_2$ x 4, $C_2^2 : C_4$, $C_2\wr C_4$ x 2, $C_2^5:C_4$ x 4 |
16T227 x 4, 16T259 x 8, 16T261 x 4, 16T273 x 4, 16T283 x 4, 32T507 x 2, 32T508 x 4, 32T595 x 4, 32T596 x 8, 32T597 x 2, 32T598 x 4, 32T599 x 4, 32T601, 32T602 x 2, 32T633, 32T657, 32T1130 x 2, 32T1796 |
| 32T507 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 4, $C_4\times C_2$, $D_4\times C_2$ x 2, $C_2^2:C_4$ x 4, $(((C_4 \times C_2): C_2):C_2):C_2$ x 4, $C_2 \times (C_2^2:C_4)$, $C_2\wr C_4$ x 2, $C_2^5:C_4$ x 2, $C_2^5:C_4$ x 2 |
16T227 x 4, 16T259 x 8, 16T261 x 4, 16T273 x 4, 16T283 x 4, 32T506, 32T507, 32T508 x 4, 32T595 x 4, 32T596 x 8, 32T597 x 2, 32T598 x 4, 32T599 x 4, 32T601, 32T602 x 2, 32T633, 32T657, 32T1130 x 2, 32T1796 |
| 32T508 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 4, $C_4\times C_2$, $D_4\times C_2$ x 2, $C_2^2:C_4$ x 4, $((C_8 : C_2):C_2):C_2$ x 2, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2 \times (C_2^2:C_4)$, $C_2\wr C_4$ x 2, $C_2^5:C_4$, $C_2^5:C_4$, $C_2^5:C_4$, $C_2^5:C_4$ |
16T227 x 4, 16T259 x 8, 16T261 x 4, 16T273 x 4, 16T283 x 4, 32T506, 32T507 x 2, 32T508 x 3, 32T595 x 4, 32T596 x 8, 32T597 x 2, 32T598 x 4, 32T599 x 4, 32T601, 32T602 x 2, 32T633, 32T657, 32T1130 x 2, 32T1796 |
| 32T595 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$, $C_2^3: C_4$, $((C_8 : C_2):C_2):C_2$ x 3, $(((C_4 \times C_2): C_2):C_2):C_2$, $C_2^3:C_4$, $C_2\wr C_4$, $C_2\wr C_4$, $C_2^5:C_4$ x 4 |
16T227 x 4, 16T259 x 8, 16T261 x 4, 16T273 x 4, 16T283 x 4, 32T506, 32T507 x 2, 32T508 x 4, 32T595 x 3, 32T596 x 8, 32T597 x 2, 32T598 x 4, 32T599 x 4, 32T601, 32T602 x 2, 32T633, 32T657, 32T1130 x 2, 32T1796 |
| 32T596 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$, $C_2^3: C_4$ x 2, $((C_8 : C_2):C_2):C_2$ x 3, $C_2^4:C_4$, $C_2\wr C_4$, $C_2\wr C_4$, $C_2^5:C_4$ x 2, $C_2^5:C_4$ x 2 |
16T227 x 4, 16T259 x 8, 16T261 x 4, 16T273 x 4, 16T283 x 4, 32T506, 32T507 x 2, 32T508 x 4, 32T595 x 4, 32T596 x 7, 32T597 x 2, 32T598 x 4, 32T599 x 4, 32T601, 32T602 x 2, 32T633, 32T657, 32T1130 x 2, 32T1796 |
| 32T597 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_4\times C_2$, $C_2^3: C_4$, $C_2^3: C_4$, $((C_8 : C_2):C_2):C_2$ x 4, $C_2^3:C_4$, $C_2\wr C_4$ x 2, $C_2^5:C_4$ x 4 |
16T227 x 4, 16T259 x 8, 16T261 x 4, 16T273 x 4, 16T283 x 4, 32T506, 32T507 x 2, 32T508 x 4, 32T595 x 4, 32T596 x 8, 32T597, 32T598 x 4, 32T599 x 4, 32T601, 32T602 x 2, 32T633, 32T657, 32T1130 x 2, 32T1796 |
| 32T598 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_4\times C_2$, $C_2^3: C_4$ x 2, $((C_8 : C_2):C_2):C_2$ x 4, $C_2^4:C_4$, $C_2\wr C_4$ x 2, $C_2^5:C_4$ x 2, $C_2^5:C_4$ x 2 |
16T227 x 4, 16T259 x 8, 16T261 x 4, 16T273 x 4, 16T283 x 4, 32T506, 32T507 x 2, 32T508 x 4, 32T595 x 4, 32T596 x 8, 32T597 x 2, 32T598 x 3, 32T599 x 4, 32T601, 32T602 x 2, 32T633, 32T657, 32T1130 x 2, 32T1796 |
| 32T599 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_4\times C_2$, $C_2^3: C_4$ x 2, $((C_8 : C_2):C_2):C_2$ x 2, $C_2^4:C_4$, $C_2\wr C_4$ x 2, $C_2^5:C_4$ x 2, $C_2^5:C_4$ |
16T227 x 4, 16T259 x 8, 16T261 x 4, 16T273 x 4, 16T283 x 4, 32T506, 32T507 x 2, 32T508 x 4, 32T595 x 4, 32T596 x 8, 32T597 x 2, 32T598 x 4, 32T599 x 3, 32T601, 32T602 x 2, 32T633, 32T657, 32T1130 x 2, 32T1796 |
| 32T601 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ x 7, $C_4$ x 4, $C_2^2$ x 7, $C_4\times C_2$ x 6, $C_2^3$, $((C_8 : C_2):C_2):C_2$ x 4, $C_4\times C_2^2$, $C_2\wr C_4$ x 2, $C_2^5:C_4$ x 4 |
16T227 x 4, 16T259 x 8, 16T261 x 4, 16T273 x 4, 16T283 x 4, 32T506, 32T507 x 2, 32T508 x 4, 32T595 x 4, 32T596 x 8, 32T597 x 2, 32T598 x 4, 32T599 x 4, 32T602 x 2, 32T633, 32T657, 32T1130 x 2, 32T1796 |
| 32T602 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 4, $C_4\times C_2$, $D_4\times C_2$ x 2, $C_2^2:C_4$ x 4, $((C_8 : C_2):C_2):C_2$ x 4, $C_2 \times (C_2^2:C_4)$, $C_2\wr C_4$ x 2, $C_2^5:C_4$ x 2, $C_2^5:C_4$ x 2 |
16T227 x 4, 16T259 x 8, 16T261 x 4, 16T273 x 4, 16T283 x 4, 32T506, 32T507 x 2, 32T508 x 4, 32T595 x 4, 32T596 x 8, 32T597 x 2, 32T598 x 4, 32T599 x 4, 32T601, 32T602, 32T633, 32T657, 32T1130 x 2, 32T1796 |
| 32T633 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 4, $C_4\times C_2$, $D_4$ x 2, $C_2^2:C_4$ x 2, $((C_8 : C_2):C_2):C_2$ x 4, $C_2^2 : C_4$, $C_2\wr C_4$ x 2, $C_2^5:C_4$ x 4 |
16T227 x 4, 16T259 x 8, 16T261 x 4, 16T273 x 4, 16T283 x 4, 32T506, 32T507 x 2, 32T508 x 4, 32T595 x 4, 32T596 x 8, 32T597 x 2, 32T598 x 4, 32T599 x 4, 32T601, 32T602 x 2, 32T657, 32T1130 x 2, 32T1796 |
| 32T657 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4$ x 2, $D_4\times C_2$ x 4, $(((C_4 \times C_2): C_2):C_2):C_2$ x 4, $D_4\times C_2$, $C_2\wr C_4$ x 2, $C_2^5:C_4$ x 4 |
16T227 x 4, 16T259 x 8, 16T261 x 4, 16T273 x 4, 16T283 x 4, 32T506, 32T507 x 2, 32T508 x 4, 32T595 x 4, 32T596 x 8, 32T597 x 2, 32T598 x 4, 32T599 x 4, 32T601, 32T602 x 2, 32T633, 32T1130 x 2, 32T1796 |
| 32T1130 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $C_2^3 : C_4 $ x 2, $C_2^4:C_4$, $C_2\wr C_4$ x 2 |
16T227 x 4, 16T259 x 8, 16T261 x 4, 16T273 x 4, 16T283 x 4, 32T506, 32T507 x 2, 32T508 x 4, 32T595 x 4, 32T596 x 8, 32T597 x 2, 32T598 x 4, 32T599 x 4, 32T601, 32T602 x 2, 32T633, 32T657, 32T1130, 32T1796 |
| 32T1796 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$, $C_2^3 : C_4 $, $C_2^3: C_4$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 4, $C_2^3:C_4$, $C_2\wr C_4$ x 2 |
16T227 x 4, 16T259 x 8, 16T261 x 4, 16T273 x 4, 16T283 x 4, 32T506, 32T507 x 2, 32T508 x 4, 32T595 x 4, 32T596 x 8, 32T597 x 2, 32T598 x 4, 32T599 x 4, 32T601, 32T602 x 2, 32T633, 32T657, 32T1130 x 2 |
Results are complete for degrees $\leq 23$.
