| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 32T424 |
$D_4^2:C_2$ |
$128$ |
$1$ |
✓ |
$2$ |
$44$ |
$C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4\times C_2$ x 6, $Q_8:C_2^2$ x 4, $C_2^2 \times D_4$, $D_4:C_2^3$ x 2, $D_4^2:C_2$ x 4 |
16T198 x 32, 32T422 x 8, 32T423 x 32, 32T424 x 7, 32T425 x 8, 32T1026 x 8 |
| 32T433 |
$C_4^2:C_2^3$ |
$128$ |
$1$ |
✓ |
$2$ |
$44$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2$ x 2, $Q_8:C_2^2$ x 4, $C_2 \times (C_4\times C_2):C_2$, $D_4:C_2^3$ x 2, $C_4^2:C_2^3$ x 4 |
16T201 x 16, 32T431 x 8, 32T432 x 16, 32T433 x 3, 32T434 x 4, 32T1032 x 4 |
| 32T441 |
$D_8:C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$41$ |
$C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4\times C_2$ x 6, $C_2^2 \times D_4$, $D_8:C_2^3$ x 2 |
16T204 x 6, 32T439 x 3, 32T440 x 12, 32T441 x 5, 32T1866 x 6 |
| 32T445 |
$D_4^2:C_2$ |
$128$ |
$1$ |
✓ |
$2$ |
$38$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2^2$ x 6, $Q_8 : C_2^2$, $D_4:C_2^3$ x 2, $D_4^2:C_2$ x 4 |
16T206 x 16, 32T445 x 11, 32T446 x 4, 32T447 x 12, 32T1031 x 2, 32T1040 x 6 |
| 32T467 |
$(C_2^2\times D_4):C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $(C_2^2\times D_4):C_4$, $(C_2^2\times D_4):C_4$ |
16T213 x 2, 16T281 x 2, 16T315 x 2, 32T466, 32T467, 32T468 x 2, 32T653, 32T654 x 2, 32T729 x 4, 32T730, 32T1123 x 2 |
| 32T469 |
$C_4^2:C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_2^2 \wr C_2$ x 4, $C_2^2\wr C_2$, $C_4^2:C_2^3$ x 2 |
16T214 x 4, 16T262 x 4, 16T288 x 2, 32T469 x 3, 32T470 x 8, 32T471 x 4, 32T603 x 4, 32T604 x 2, 32T605 x 2, 32T665 x 2, 32T666 |
| 32T471 |
$C_4^2:C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_2^2 \wr C_2$ x 4, $C_2^2\wr C_2$, $C_4^2:C_2^3$, $C_4^2:C_2^3$ |
16T214 x 4, 16T262 x 4, 16T288 x 2, 32T469 x 4, 32T470 x 8, 32T471 x 3, 32T603 x 4, 32T604 x 2, 32T605 x 2, 32T665 x 2, 32T666 |
| 32T477 |
$\OD_{16}:D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $\OD_{16}:D_4$, $\OD_{16}:D_4$ |
16T216 x 4, 16T278 x 2, 32T475 x 2, 32T476 x 2, 32T477 x 3, 32T645 x 4, 32T646 |
| 32T480 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_2^2 \wr C_2$ x 4, $C_2^2\wr C_2$, $C_2^4.D_4$, $C_2^4.D_4$ |
16T218 x 2, 16T224 x 2, 16T268, 16T284, 16T295, 16T304, 16T318 x 2, 16T326 x 2, 32T480, 32T481 x 4, 32T497 x 2, 32T498 x 2, 32T499 x 2, 32T622 x 2, 32T623, 32T658, 32T659, 32T684 x 2, 32T685, 32T686 x 2, 32T732 x 2 |
| 32T489 |
$C_4^2.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_2^2 \wr C_2$ x 4, $C_2^2\wr C_2$, $C_4^2.D_4$, $C_4^2.D_4$ |
16T221 x 4, 16T307 x 2, 32T488 x 2, 32T489 x 3, 32T490 x 2, 32T711 x 2, 32T712, 32T713 x 2, 32T1971, 32T1992 |
| 32T492 |
$C_4^2:D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $C_4^2:D_4$ x 2 |
16T222 x 4, 16T276 x 4, 16T305 x 2, 32T491 x 4, 32T492, 32T493 x 2, 32T641 x 4, 32T642 x 4, 32T704 x 2, 32T705 |
| 32T498 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $C_2^4.D_4$, $C_2^4.D_4$ |
16T218 x 2, 16T224 x 2, 16T268, 16T284, 16T295, 16T304, 16T318 x 2, 16T326 x 2, 32T480 x 2, 32T481 x 4, 32T497 x 2, 32T498, 32T499 x 2, 32T622 x 2, 32T623, 32T658, 32T659, 32T684 x 2, 32T685, 32T686 x 2, 32T732 x 2 |
| 32T502 |
$C_4^2.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_2^2 \wr C_2$ x 4, $C_2^2\wr C_2$, $C_4^2.D_4$ x 2 |
16T225 x 4, 16T311 x 2, 32T500 x 2, 32T501 x 2, 32T502, 32T720, 32T721, 32T1960, 32T1998 |
| 32T504 |
$C_4^2.(C_2\times C_4)$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $C_4^2.(C_2\times C_4)$, $C_4^2.(C_2\times C_4)$ |
16T226 x 4, 16T285 x 2, 32T503 x 2, 32T504 x 3, 32T505 x 2, 32T660 x 4, 32T661 |
| 32T509 |
$C_2^4:C_8$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$, $C_4$, $C_8:C_2$, $(C_8:C_2):C_2$, $C_2^3: C_4$, $((C_8 : C_2):C_2):C_2$ x 3, $C_2^3:C_8$, $C_2\wr C_4$, $C_2\wr C_4$, $C_2^4:C_8$ x 2, $C_2^4:C_8$ x 2 |
16T228 x 8, 16T257 x 4, 16T258 x 4, 32T509 x 7, 32T510 x 4, 32T511 x 4, 32T512 x 2, 32T513 x 4, 32T591 x 2, 32T592 x 4, 32T593, 32T594, 32T1797 |
| 32T511 |
$C_2^4:C_8$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$, $C_4$, $C_8$, $(C_8:C_2):C_2$, $C_2^3: C_4$, $((C_8 : C_2):C_2):C_2$ x 4, $C_2^3:C_8$, $C_2\wr C_4$ x 2, $C_2^4:C_8$ x 2, $C_2^4:C_8$ x 2 |
16T228 x 8, 16T257 x 4, 16T258 x 4, 32T509 x 8, 32T510 x 4, 32T511 x 3, 32T512 x 2, 32T513 x 4, 32T591 x 2, 32T592 x 4, 32T593, 32T594, 32T1797 |
| 32T512 |
$C_2^4:C_8$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_4\times C_2$, $(C_8:C_2):C_2$ x 2, $((C_8 : C_2):C_2):C_2$ x 4, $\OD_{16}:C_2$, $C_2\wr C_4$ x 2, $C_2^4:C_8$ x 4 |
16T228 x 8, 16T257 x 4, 16T258 x 4, 32T509 x 8, 32T510 x 4, 32T511 x 4, 32T512, 32T513 x 4, 32T591 x 2, 32T592 x 4, 32T593, 32T594, 32T1797 |
| 32T519 |
$(C_2^2\times D_4):C_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $(C_2^2\times D_4):C_4$, $(C_2^2\times D_4):C_4$ |
16T232 x 2, 16T290 x 4, 32T519 x 3, 32T520 x 4, 32T521, 32T668 x 8, 32T669 x 2, 32T670 x 2, 32T1918 x 2 |
| 32T526 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $C_2^4.D_4$, $C_2^4.D_4$ |
16T234 x 2, 16T250 x 2, 16T297 x 4, 16T310 x 2, 32T524 x 2, 32T525, 32T526, 32T569 x 2, 32T570, 32T689 x 4, 32T690 x 4, 32T718 x 2, 32T719 |
| 32T529 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $C_4^2:C_4$ x 2, $C_2^4.D_4$ x 2, $C_2^4.D_4$ x 2 |
16T235 x 8, 16T248 x 8, 32T527 x 2, 32T528 x 4, 32T529 x 3, 32T566 x 2, 32T1134 x 4, 32T1789 x 2, 32T1792 x 2 |
| 32T531 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $C_2^4.D_4$, $C_2^4.D_4$ |
16T219, 16T236, 16T266, 16T287, 16T317, 16T319 x 2, 16T324, 32T482, 32T483, 32T484, 32T530, 32T614, 32T615, 32T616, 32T617, 32T663, 32T664, 32T731 x 2, 32T733 x 2, 32T734 x 2, 32T743 |
| 32T534 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$, $Q_8:C_2$ x 2, $C_2^3: C_4$ x 4, $C_2^2.D_4$, $C_2^4:C_4$ x 2, $C_2^4.D_4$ x 4 |
16T230 x 8, 16T237 x 8, 16T249 x 8, 32T515 x 4, 32T516 x 4, 32T532 x 8, 32T533 x 2, 32T534, 32T535 x 8, 32T536 x 4, 32T567 x 2, 32T568 x 2, 32T1132 x 2, 32T1301 x 2 |
| 32T539 |
$(C_2\times C_8):D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $(C_2\times C_8):D_4$, $(C_2\times C_8):D_4$ |
16T238 x 4, 16T298 x 2, 32T537 x 2, 32T538 x 2, 32T539 x 3, 32T691 x 4, 32T692, 32T1983 x 2 |
| 32T542 |
$C_2^3.C_2^4$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4\times C_2$ x 6, $C_2^2 \times D_4$, $C_2^3.C_2^4$, $C_2^3.C_2^4$ |
16T239 x 12, 16T313 x 2, 32T540 x 6, 32T541 x 6, 32T542 x 11, 32T726, 32T1374 x 4 |
| 32T543 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ 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, $C_2^3: C_4$ x 4, $C_2 \times (C_2^2:C_4)$, $C_2^4:C_4$ x 2, $C_2^5:C_4$ x 4 |
16T240 x 16, 16T275 x 16, 32T543 x 3, 32T544 x 16, 32T545 x 4, 32T546 x 8, 32T638 x 16, 32T639 x 4, 32T640 x 4, 32T1110 x 4 |
| 32T558 |
$(C_2^2\times D_4):C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $(C_2^2\times D_4):C_4$, $(C_2^2\times D_4):C_4$ |
16T244 x 4, 16T263 x 2, 32T556 x 2, 32T557 x 2, 32T558 x 3, 32T606, 32T607 x 4, 32T1136 x 4 |
| 32T568 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_2^2 \wr C_2$ x 4, $C_2^3: C_4$ x 4, $C_2^2\wr C_2$, $C_2^4:C_4$ x 2, $C_2^4.D_4$ x 4 |
16T230 x 8, 16T237 x 8, 16T249 x 8, 32T515 x 4, 32T516 x 4, 32T532 x 8, 32T533 x 2, 32T534 x 2, 32T535 x 8, 32T536 x 4, 32T567 x 2, 32T568, 32T1132 x 2, 32T1301 x 2 |
| 32T577 |
$C_2^3:\OD_{16}$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_4\times C_2$, $C_8:C_2$ x 2, $(C_8:C_2):C_2$ x 2, $C_2^3: C_4$ x 2, $C_2 \times (C_8:C_2)$, $C_2^4:C_4$, $\OD_{16}:C_2^2$, $C_2^3:\OD_{16}$ x 4 |
16T252 x 16, 32T574 x 8, 32T575 x 8, 32T576 x 4, 32T577 x 3, 32T578 x 8 |
| 32T582 |
$C_2^5.C_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ 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, $(C_8:C_2):C_2$ x 4, $C_2 \times (C_2^2:C_4)$, $\OD_{16}:C_2^2$ x 2, $C_2^5.C_4$ x 4 |
16T253 x 32, 32T579 x 32, 32T580 x 8, 32T581 x 8, 32T582 x 7 |
| 32T585 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $Z_8 : Z_8^\times$ x 4, $C_2^2 \wr C_2$ x 4, $C_2^2\wr C_2$, $C_8:C_2^3$ x 2, $C_2^4.D_4$ x 4 |
16T255 x 32, 32T585 x 15, 32T586 x 32, 32T587 x 8 |
| 32T589 |
$D_{16}:C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Z_8 : Z_8^\times$ x 2, $D_8:C_2$, $D_{16}:C_4$ x 2 |
16T256 x 2, 32T588, 32T590, 32T2022 |
| 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 |
| 32T604 |
$C_4^2:C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4\times C_2$ x 6, $C_2^2 \times D_4$, $C_4^2:C_2^3$ x 2 |
16T214 x 4, 16T262 x 4, 16T288 x 2, 32T469 x 4, 32T470 x 8, 32T471 x 4, 32T603 x 4, 32T604, 32T605 x 2, 32T665 x 2, 32T666 |
| 32T609 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4\times C_2$ x 6, $C_2^2 \times D_4$, $C_4^2.C_2^3$ x 2 |
16T264 x 4, 16T303 x 2, 32T608 x 2, 32T609, 32T610 x 2, 32T702, 32T703, 32T1386 x 4, 32T1912 x 2 |
| 32T613 |
$C_4^2:C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4\times C_2$ x 6, $(C_4^2 : C_2):C_2$ x 4, $C_2^2 \times D_4$, $D_4:D_4$ x 2, $C_4^2:C_2^3$ x 4 |
16T265 x 16, 32T611 x 4, 32T612 x 4, 32T613 x 3, 32T1383 x 8, 32T1670 x 2, 32T1724 x 2 |
| 32T619 |
$\OD_{16}.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$, $Q_8:C_2$ x 2, $C_2^2.D_4$, $\OD_{16}.D_4$ |
16T267 x 2, 32T618 x 2, 32T619, 32T620 x 2, 32T621, 32T1973, 32T1984 |
| 32T620 |
$\OD_{16}.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 4, $D_4\times C_2$ x 2, $Q_8:C_2$, $C_4:D_4$, $\OD_{16}.D_4$ x 2 |
16T267 x 2, 32T618 x 2, 32T619 x 2, 32T620, 32T621, 32T1973, 32T1984 |
| 32T625 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4\times C_2$ x 6, $C_2^2 \times D_4$, $C_4^2.C_2^3$, $C_4^2.C_2^3$ |
16T269 x 4, 16T282 x 2, 32T624 x 2, 32T625 x 3, 32T626 x 2, 32T655 x 4, 32T656, 32T1381 x 4, 32T1908 x 2 |
| 32T637 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_4\times C_2$, $Q_8:C_2$ x 2, $C_2^3: C_4$ x 4, $C_4^2:C_2$, $C_2^4:C_4$ x 2, $C_2^4.D_4$ x 4 |
16T274 x 16, 32T634 x 16, 32T635 x 8, 32T636 x 4, 32T637 x 3, 32T1119 x 4 |
| 32T639 |
$C_2^5:C_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ 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, $C_2^3: C_4$ x 4, $C_2 \times (C_2^2:C_4)$, $C_2^4:C_4$ x 2, $C_2^5:C_4$ x 4 |
16T240 x 16, 16T275 x 16, 32T543 x 4, 32T544 x 16, 32T545 x 4, 32T546 x 8, 32T638 x 16, 32T639 x 3, 32T640 x 4, 32T1110 x 4 |
| 32T642 |
$C_4^2:D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_2^2 \wr C_2$ x 4, $C_2^2\wr C_2$, $C_4^2:D_4$, $C_4^2:D_4$ |
16T222 x 4, 16T276 x 4, 16T305 x 2, 32T491 x 4, 32T492 x 2, 32T493 x 2, 32T641 x 4, 32T642 x 3, 32T704 x 2, 32T705 |
| 32T644 |
$C_2^4:D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_2^2 \wr C_2$ x 4, $C_2^2\wr C_2$, $C_2^4:D_4$, $C_2^4:D_4$ |
16T241, 16T277 x 2, 16T301, 16T309 x 6, 16T320 x 3, 16T329 x 3, 32T547 x 3, 32T548 x 3, 32T549, 32T643 x 4, 32T644 x 5, 32T698 x 6, 32T716 x 6, 32T717 x 6, 32T749 x 3 |
| 32T654 |
$(C_2^2\times D_4):C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $(C_2^2\times D_4):C_4$, $(C_2^2\times D_4):C_4$ |
16T213 x 2, 16T281 x 2, 16T315 x 2, 32T466, 32T467 x 2, 32T468 x 2, 32T653, 32T654, 32T729 x 4, 32T730, 32T1123 x 2 |
| 32T655 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4\times C_2$ x 3, $C_2^2\wr C_2$, $C_4^2.C_2^3$ x 2 |
16T269 x 4, 16T282 x 2, 32T624 x 2, 32T625 x 4, 32T626 x 2, 32T655 x 3, 32T656, 32T1381 x 4, 32T1908 x 2 |
| 32T664 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $C_2^4.D_4$, $C_2^4.D_4$ |
16T219, 16T236, 16T266, 16T287, 16T317, 16T319 x 2, 16T324, 32T482, 32T483, 32T484, 32T530, 32T531, 32T614, 32T615, 32T616, 32T617, 32T663, 32T731 x 2, 32T733 x 2, 32T734 x 2, 32T743 |
| 32T669 |
$(C_2^2\times D_4):C_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $(C_2^2\times D_4):C_4$ x 2 |
16T232 x 2, 16T290 x 4, 32T519 x 4, 32T520 x 4, 32T521, 32T668 x 8, 32T669, 32T670 x 2, 32T1918 x 2 |
| 32T674 |
$(C_2^3\times C_4):C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_4\times C_2$, $C_2^3: C_4$ x 2, $C_2^4:C_4$, $(C_2^3\times C_4):C_4$ x 2 |
16T243 x 2, 16T280 x 2, 16T292 x 2, 32T553, 32T554, 32T555 x 2, 32T651, 32T652, 32T674, 32T675, 32T676 x 2, 32T677, 32T1137 x 2 |
| 32T679 |
$(C_2\times C_4^2):C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$26$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $(C_2\times C_4^2):C_4$ x 2 |
16T293 x 4, 16T322 x 2, 32T678 x 2, 32T679, 32T680 x 2, 32T738, 32T739, 32T1138 x 4 |
Results are complete for degrees $\leq 23$.
