| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 32T446 |
$D_4^2:C_2$ |
$128$ |
$1$ |
✓ |
$2$ |
$38$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2^2$ x 6, $D_4:C_2^3$ x 3, $D_4^2:C_2$ x 4 |
16T206 x 16, 32T445 x 12, 32T446 x 3, 32T447 x 12, 32T1031 x 2, 32T1040 x 6 |
| 32T607 |
$(C_2^2\times D_4):C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$, $C_2^3: C_4$ x 2, $C_2^4:C_4$, $(C_2^2\times D_4):C_4$ x 2 |
16T244 x 4, 16T263 x 2, 32T556 x 2, 32T557 x 2, 32T558 x 4, 32T606, 32T607 x 3, 32T1136 x 4 |
| 32T660 |
$C_4^2.(C_2\times C_4)$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$, $C_2^3: C_4$ x 2, $C_2^4:C_4$, $C_4^2.(C_2\times C_4)$ x 2 |
16T226 x 4, 16T285 x 2, 32T503 x 2, 32T504 x 4, 32T505 x 2, 32T660 x 3, 32T661 |
| 32T742 |
$C_2^3.C_4^2$ |
$128$ |
$1$ |
✓ |
$3$ |
$26$ |
$C_2$ x 3, $C_2^2$, $Q_8$, $C_2^3: C_4$ x 6, $C_2^2.C_4^2$ x 3, $C_2^3.C_4^2$ x 4 |
16T323 x 16, 32T740 x 12, 32T741 x 12, 32T742 x 3, 32T1305 x 6 |
| 32T799 |
$C_4^2.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$17$ |
$C_2$, $D_{4}$ x 3, $C_2^2 \wr C_2$, $C_2\wr C_2^2$, $C_4^2.D_4$ x 2 |
16T349 x 2, 16T357, 16T404 x 3, 32T799 x 3, 32T800 x 6, 32T817 x 3 |
| 32T947 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$2$ |
$38$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2^2$ x 2, $C_4.C_2^4$ x 2, $D_4:C_2^3$ |
32T947 x 7 |
| 32T968 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$2$ |
$38$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2^2$ x 2, $C_4.C_2^4$ x 2, $D_4:C_2^3$ |
32T968 x 3 |
| 32T969 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$2$ |
$38$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2^2$ x 2, $C_4.C_2^4$ x 2, $D_4:C_2^3$ |
32T969 x 3, 32T979 x 4 |
| 32T1005 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$2$ |
$38$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_4\times C_2$, $Q_8:C_2^2$ x 2, $C_4^2:C_2^2$, $C_8.C_2^3$ x 2 |
32T1005 x 3 |
| 32T1006 |
$C_2^3.C_2^4$ |
$128$ |
$1$ |
✓ |
$2$ |
$38$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_4\times C_2$, $Q_8:C_2^2$ x 6, $C_4^2:C_2^2$ x 3, $C_4^2:C_2^2$ x 3, $C_4^2:C_2^2$ |
32T1006 x 15 |
| 32T1013 |
$C_4^2:C_2^3$ |
$128$ |
$1$ |
✓ |
$2$ |
$38$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2^2$ x 6, $D_4:C_2^3$ x 3, $C_4^2:C_2^2$ x 4 |
32T1013 x 31 |
| 32T1020 |
$C_4^2:C_2^3$ |
$128$ |
$1$ |
✓ |
$2$ |
$38$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2^2$ x 6, $D_4:C_2^3$ x 3, $C_4^2:C_2^2$ x 4 |
32T1020 x 15 |
| 32T1086 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$26$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Q_8:C_2^2$ x 2, $C_4^2:C_2^2$, $D_8:C_2^2$ x 2 |
32T1086 x 3 |
| 32T1090 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$26$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Q_8:C_2^2$ x 2, $C_4^2:C_2^2$, $D_8:C_2^2$ x 2 |
32T1090 x 3 |
| 32T1091 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$26$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Q_8:C_2^2$ x 2, $C_4^2:C_2^2$, $D_8:C_2^2$, $D_8:C_2^2$ |
32T1091 x 3 |
| 32T1187 |
$(C_2^2\times C_8):C_2^2$ |
$128$ |
$1$ |
✓ |
$3$ |
$26$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Q_8:C_2^2$ x 2, $D_8:C_2^2$, $C_2^3:D_4$, $D_8:C_2^2$ |
32T1187 x 3 |
| 32T1188 |
$(C_2^2\times C_8):C_2^2$ |
$128$ |
$1$ |
✓ |
$3$ |
$26$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Q_8:C_2^2$ x 2, $D_8:C_2^2$ x 2, $C_2^3:D_4$ |
32T1188 x 7 |
| 32T1209 |
$C_2^4.Q_8$ |
$128$ |
$1$ |
✓ |
$2$ |
$26$ |
$C_2$ x 3, $C_2^2$, $Q_8$, $Q_8:C_2^2$ x 6, $C_4^2:C_2^2$ x 4, $C_2^3:Q_8$ x 3 |
32T1209 x 15 |
| 32T1210 |
$C_2^4:D_4$ |
$128$ |
$1$ |
✓ |
$2$ |
$26$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$, $Q_8:C_2^2$ x 6, $C_4^2:C_2^2$ x 3, $C_4^2:C_2^2$, $C_2^3:D_4$ x 3 |
32T1210 x 15 |
| 32T1245 |
$(C_2^2\times C_8):C_2^2$ |
$128$ |
$1$ |
✓ |
$3$ |
$26$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Q_8:C_2^2$ x 2, $C_2^3:D_4$, $D_8:C_2^2$ x 2 |
32T1245 x 3 |
| 32T1314 |
$C_2^4:Q_8$ |
$128$ |
$1$ |
✓ |
$2$ |
$26$ |
$C_2$ x 3, $C_2^2$, $Q_8$, $Q_8:C_2^2$ x 6, $C_2^3:Q_8$ x 3, $C_4^2:C_2^2$ x 4 |
32T1314 x 15 |
| 32T1342 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$26$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$, $Q_8:C_2^2$ x 2, $D_8:C_2^2$ x 2, $C_2^3:D_4$ |
32T1342 x 3 |
| 32T1609 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$20$ |
$C_2$, $D_{4}$ x 3, $C_2^2 \wr C_2$, $D_4:D_4$ x 3 |
32T1609 x 3 |
| 32T1612 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$20$ |
$C_2$, $D_{4}$ x 3, $C_2^2 \wr C_2$, $D_4:D_4$, $C_4^2:C_2^2$ x 2 |
32T1612 x 3 |
| 32T2367 |
$C_4.D_4^2$ |
$256$ |
$1$ |
✓ |
$3$ |
$34$ |
$C_2$ x 3, $C_2^2$, $Q_8:C_2$, $Q_8:C_2^2$ x 2, $C_4^2:C_2^2$, $C_4.D_4^2$ x 2 |
16T475 x 4, 32T2366 x 8, 32T2367 x 3, 32T2368 x 4, 32T2369 x 8, 32T2370 x 2, 32T2371 x 4, 32T7618 x 4 |
| 32T2412 |
$(C_4\times \OD_{16}):C_4$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$, $C_2^3: C_4$, $C_2^3:C_4$, $(C_4\times \OD_{16}):C_4$ x 2 |
16T483 x 4, 32T2410 x 2, 32T2411 x 4, 32T2412 x 3, 32T2413 x 4, 32T6635 x 2 |
| 32T2413 |
$(C_4\times \OD_{16}):C_4$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$, $C_2^3: C_4$ x 2, $C_2^4:C_4$, $(C_4\times \OD_{16}):C_4$ x 2 |
16T483 x 4, 32T2410 x 2, 32T2411 x 4, 32T2412 x 4, 32T2413 x 3, 32T6635 x 2 |
| 32T2581 |
$(C_4\times \OD_{16}):C_4$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$, $C_2^3: C_4$, $C_2^3:C_4$, $(C_4\times \OD_{16}):C_4$ x 2 |
16T518 x 4, 32T2579 x 2, 32T2580 x 4, 32T2581 x 3, 32T2582 x 4, 32T6839 x 2 |
| 32T2591 |
$C_4^2.(C_2^2\times C_4)$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$, $C_2^3: C_4$, $C_2^3:C_4$, $C_4^2.(C_2^2\times C_4)$ x 2 |
16T520 x 4, 32T2589 x 2, 32T2590 x 4, 32T2591 x 3, 32T2592 x 4, 32T6715 x 2 |
| 32T2592 |
$C_4^2.(C_2^2\times C_4)$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$, $C_2^3: C_4$ x 2, $C_2^4:C_4$, $C_4^2.(C_2^2\times C_4)$ x 2 |
16T520 x 4, 32T2589 x 2, 32T2590 x 4, 32T2591 x 4, 32T2592 x 3, 32T6715 x 2 |
| 32T2652 |
$(C_4\times C_8).D_4$ |
$256$ |
$1$ |
✓ |
$4$ |
$28$ |
$C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$, $(C_8:C_2):C_2$, $\OD_{16}:C_2$, $(C_4\times C_8).D_4$ x 2 |
16T534 x 4, 32T2650 x 2, 32T2651 x 4, 32T2652 x 3, 32T2653 x 4, 32T6936 x 2 |
| 32T2784 |
$C_2^4.\OD_{16}$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $C_4$, $C_8:C_2$, $(C_8:C_2):C_2$, $C_2^3: C_4$, $C_2^3:C_8$, $C_2^4.\OD_{16}$ x 2 |
16T561 x 4, 32T2782 x 8, 32T2783 x 4, 32T2784 x 3, 32T2785 x 8, 32T2786 x 4, 32T2787 x 2 |
| 32T2791 |
$(C_4\times C_8):D_4$ |
$256$ |
$1$ |
✓ |
$3$ |
$34$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Q_8:C_2^2$ x 2, $C_4^2:C_2^2$, $(C_4\times C_8):D_4$ x 2 |
16T562 x 4, 32T2788 x 2, 32T2789 x 4, 32T2790 x 4, 32T2791 x 3, 32T7068 x 2, 32T7463 x 4 |
| 32T2822 |
$C_4.D_4^2$ |
$256$ |
$1$ |
✓ |
$3$ |
$34$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Q_8:C_2^2$ x 2, $C_2^3:D_4$, $C_4.D_4^2$ x 2 |
16T570 x 4, 32T2819 x 2, 32T2820 x 4, 32T2821 x 4, 32T2822 x 3, 32T6820 x 2, 32T7276 x 4 |
| 32T2840 |
$(C_4\times C_8).C_2^3$ |
$256$ |
$1$ |
✓ |
$4$ |
$28$ |
$C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$, $(C_8:C_2):C_2$ x 2, $\OD_{16}:C_2^2$, $(C_4\times C_8).C_2^3$ x 2 |
16T577 x 4, 32T2839 x 2, 32T2840 x 3, 32T2841 x 4, 32T2842 x 2, 32T2843 x 2, 32T7011 x 2 |
| 32T2841 |
$(C_4\times C_8).C_2^3$ |
$256$ |
$1$ |
✓ |
$4$ |
$28$ |
$C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$, $(C_8:C_2):C_2$, $\OD_{16}:C_2$, $(C_4\times C_8).C_2^3$ x 2 |
16T577 x 4, 32T2839 x 2, 32T2840 x 4, 32T2841 x 3, 32T2842 x 2, 32T2843 x 2, 32T7011 x 2 |
| 32T3400 |
$D_4^2:C_2^2$ |
$256$ |
$1$ |
✓ |
$2$ |
$70$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2^2$ x 2, $D_4:C_2^3$, $C_2^4:C_2^3$ x 2 |
32T3400 x 15 |
| 32T3401 |
$D_4^2:C_2^2$ |
$256$ |
$1$ |
✓ |
$2$ |
$70$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2^2$ x 2, $D_4:C_2^3$, $C_2^4:C_2^3$ x 2 |
32T3399 x 16, 32T3401 x 15 |
| 32T3402 |
$D_4^2:C_2^2$ |
$256$ |
$1$ |
✓ |
$2$ |
$70$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2^2$ x 2, $D_4:C_2^3$, $C_2^4:C_2^3$ x 2 |
32T3402 x 15 |
| 32T3403 |
$D_4^2:C_2^2$ |
$256$ |
$1$ |
✓ |
$2$ |
$70$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2^2$ x 2, $D_4:C_2^3$, $C_2^4:C_2^3$ x 2 |
32T3393 x 8, 32T3403 x 15 |
| 32T3406 |
$D_4^2:C_2^2$ |
$256$ |
$1$ |
✓ |
$2$ |
$70$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2^2$ x 2, $D_4:C_2^3$, $C_2^4:C_2^3$ x 2 |
32T3406 x 31 |
| 32T3407 |
$D_4^2:C_2^2$ |
$256$ |
$1$ |
✓ |
$2$ |
$70$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $C_4.C_2^4$, $C_2^4:C_2^3$ x 2 |
32T3407 x 15 |
| 32T3416 |
$D_4^2:C_2^2$ |
$256$ |
$1$ |
✓ |
$2$ |
$70$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $C_4.C_2^4$, $C_2^4:C_2^3$ x 2 |
32T3416 x 7 |
| 32T3417 |
$D_4^2:C_2^2$ |
$256$ |
$1$ |
✓ |
$2$ |
$70$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2^2$ x 2, $D_4:C_2^3$, $C_2^4:C_2^3$ x 2 |
32T3417 x 15 |
| 32T3418 |
$D_4^2:C_2^2$ |
$256$ |
$1$ |
✓ |
$2$ |
$70$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $C_4.C_2^4$, $C_2^4:C_2^3$ x 2 |
32T3418 x 7 |
| 32T3463 |
$C_4^2.C_2^4$ |
$256$ |
$1$ |
✓ |
$3$ |
$46$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Q_8:C_2^2$ x 2, $D_4^2:C_2$, $D_8:C_2^3$ x 2 |
32T3463 x 15 |
| 32T3464 |
$D_4^2:C_2^2$ |
$256$ |
$1$ |
✓ |
$3$ |
$46$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Q_8:C_2^2$ x 2, $D_4^2:C_2$, $D_8:C_2^3$ x 2 |
32T3464 x 15 |
| 32T3482 |
$C_2^4.C_2^4$ |
$256$ |
$1$ |
✓ |
$3$ |
$46$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Q_8:C_2^2$ x 2, $C_2^3:D_4$, $C_2^3.C_2^4$ x 2 |
32T3482 x 7, 32T3592 x 8, 32T3594 x 8, 32T3612 x 8 |
| 32T3486 |
$C_2^4.C_2^4$ |
$256$ |
$1$ |
✓ |
$3$ |
$46$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Q_8:C_2^2$ x 2, $C_2^3:D_4$, $C_2^3.C_2^4$ x 2 |
32T3486 x 15, 32T3591 x 16 |
| 32T3489 |
$C_2^4.C_2^4$ |
$256$ |
$1$ |
✓ |
$3$ |
$46$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Q_8:C_2^2$ x 2, $C_4^2:C_2^2$, $C_2^3.C_2^4$ x 2 |
32T3489 x 7, 32T3574 x 4, 32T3575 x 4 |
Results are complete for degrees $\leq 23$.
