Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
32T421 |
$C_2^4:C_2^3$ |
$128$ |
$1$ |
✓ |
$2$ |
$65$ |
$C_2$ x 15, $C_2^2$ x 35, $C_2^3$ x 15, $C_2^4$, $C_2^4:C_2^3$ x 2 |
16T197 x 30, 32T421 x 104 |
32T422 |
$D_4^2:C_2$ |
$128$ |
$1$ |
✓ |
$2$ |
$44$ |
$C_2$ 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, $Q_8 : C_2^2$ x 2, $C_2^2 \times D_4$, $D_4^2:C_2$ x 4 |
16T198 x 32, 32T422 x 7, 32T423 x 32, 32T424 x 8, 32T425 x 8, 32T1026 x 8 |
32T423 |
$D_4^2:C_2$ |
$128$ |
$1$ |
✓ |
$2$ |
$44$ |
$C_2$ 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, $Q_8 : C_2^2$, $C_2^2 \times D_4$, $D_4:C_2^3$, $D_4^2:C_2$ x 4 |
16T198 x 32, 32T422 x 8, 32T423 x 31, 32T424 x 8, 32T425 x 8, 32T1026 x 8 |
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 |
32T425 |
$D_4^2:C_2$ |
$128$ |
$1$ |
✓ |
$2$ |
$44$ |
$C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4$ x 2, $D_4\times C_2$ x 4, $Q_8:C_2^2$ x 4, $D_4\times C_2$, $D_4:C_2^3$ x 2, $D_4^2:C_2$ x 4 |
16T198 x 32, 32T422 x 8, 32T423 x 32, 32T424 x 8, 32T425 x 7, 32T1026 x 8 |
32T426 |
$C_2^3.C_2^4$ |
$128$ |
$1$ |
✓ |
$3$ |
$41$ |
$C_2$ 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, $D_4\times C_2$, $C_2^3.C_2^4$, $C_2^3.C_2^4$ |
16T199 x 8, 16T202 x 2, 16T203 x 4, 32T426 x 7, 32T427 x 8, 32T435 x 4, 32T436, 32T437 x 4, 32T438 x 8 |
32T427 |
$C_2^3.C_2^4$ |
$128$ |
$1$ |
✓ |
$3$ |
$41$ |
$C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4\times C_2$ x 6, $C_2^2 \times D_4$, $C_2^3.C_2^4$ x 2 |
16T199 x 8, 16T202 x 2, 16T203 x 4, 32T426 x 8, 32T427 x 7, 32T435 x 4, 32T436, 32T437 x 4, 32T438 x 8 |
32T428 |
$\OD_{16}.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$41$ |
$C_2$ x 7, $C_4$ x 4, $C_2^2$ x 7, $C_4\times C_2$ x 6, $C_2^3$, $C_4\times C_2^2$, $\OD_{16}.C_2^3$ x 2 |
16T200 x 6, 32T428 x 2, 32T429 x 12, 32T430 x 6 |
32T429 |
$\OD_{16}.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$41$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $\OD_{16}.C_2^3$ |
16T200 x 6, 32T428 x 3, 32T429 x 11, 32T430 x 6 |
32T430 |
$\OD_{16}.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$41$ |
$C_2$ x 7, $C_4$ x 4, $C_2^2$ x 7, $C_4\times C_2$ x 6, $C_2^3$, $C_4\times C_2^2$, $\OD_{16}.C_2^3$ x 2 |
16T200 x 6, 32T428 x 3, 32T429 x 12, 32T430 x 5 |
32T431 |
$C_4^2:C_2^3$ |
$128$ |
$1$ |
✓ |
$2$ |
$44$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2$ x 2, $Q_8:C_2^2$ x 4, $C_2 \times (C_4\times C_2):C_2$, $Q_8 : C_2^2$ x 2, $C_4^2:C_2^3$ x 2 |
16T201 x 16, 32T431 x 7, 32T432 x 16, 32T433 x 4, 32T434 x 4, 32T1032 x 4 |
32T432 |
$C_4^2:C_2^3$ |
$128$ |
$1$ |
✓ |
$2$ |
$44$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2$ x 2, $Q_8:C_2^2$ x 4, $C_2 \times (C_4\times C_2):C_2$, $Q_8 : C_2^2$, $D_4:C_2^3$, $C_4^2:C_2^3$ x 4 |
16T201 x 16, 32T431 x 8, 32T432 x 15, 32T433 x 4, 32T434 x 4, 32T1032 x 4 |
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 |
32T434 |
$C_4^2:C_2^3$ |
$128$ |
$1$ |
✓ |
$2$ |
$44$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2$ x 3, $Q_8:C_2^2$ x 4, $Q_8 : C_2$, $D_4:C_2^3$ x 2, $C_4^2:C_2^3$ x 4 |
16T201 x 16, 32T431 x 8, 32T432 x 16, 32T433 x 4, 32T434 x 3, 32T1032 x 4 |
32T435 |
$C_2^3.C_2^4$ |
$128$ |
$1$ |
✓ |
$3$ |
$41$ |
$C_2$ x 7, $C_4$ x 4, $C_2^2$ x 7, $C_4\times C_2$ x 6, $C_2^3$, $C_4\times C_2^2$, $C_2^3.C_2^4$, $C_2^3.C_2^4$ |
16T199 x 8, 16T202 x 2, 16T203 x 4, 32T426 x 8, 32T427 x 8, 32T435 x 3, 32T436, 32T437 x 4, 32T438 x 8 |
32T436 |
$C_2^3.C_2^4$ |
$128$ |
$1$ |
✓ |
$3$ |
$41$ |
$C_2$ x 15, $C_2^2$ x 35, $C_2^3$ x 15, $C_2^4$, $C_2^3.C_2^4$ x 2 |
16T199 x 8, 16T202 x 2, 16T203 x 4, 32T426 x 8, 32T427 x 8, 32T435 x 4, 32T437 x 4, 32T438 x 8 |
32T437 |
$C_2^3.C_2^4$ |
$128$ |
$1$ |
✓ |
$3$ |
$41$ |
$C_2$ x 7, $C_4$ x 4, $C_2^2$ x 7, $C_4\times C_2$ x 6, $C_2^3$, $C_4\times C_2^2$, $C_2^3.C_2^4$ x 2 |
16T199 x 8, 16T202 x 2, 16T203 x 4, 32T426 x 8, 32T427 x 8, 32T435 x 4, 32T436, 32T437 x 3, 32T438 x 8 |
32T438 |
$C_2^3.C_2^4$ |
$128$ |
$1$ |
✓ |
$3$ |
$41$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $C_2^3.C_2^4$ |
16T199 x 8, 16T202 x 2, 16T203 x 4, 32T426 x 8, 32T427 x 8, 32T435 x 4, 32T436, 32T437 x 4, 32T438 x 7 |
32T439 |
$D_8:C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$41$ |
$C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4$ x 2, $D_4\times C_2$ x 4, $D_4\times C_2$, $D_8:C_2^3$ x 2 |
16T204 x 6, 32T439 x 2, 32T440 x 12, 32T441 x 6, 32T1866 x 6 |
32T440 |
$D_8:C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$41$ |
$C_2$ 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 11, 32T441 x 6, 32T1866 x 6 |
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 |
32T442 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2$ x 3, $Q_8 : C_2$, $C_4^2.C_2^3$ x 2 |
16T205 x 2, 32T443 x 2, 32T444, 32T1959 x 2 |
32T443 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2$ x 2, $C_2 \times (C_4\times C_2):C_2$, $C_4^2.C_2^3$ |
16T205 x 2, 32T442, 32T443, 32T444, 32T1959 x 2 |
32T444 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2$ x 2, $C_2 \times (C_4\times C_2):C_2$, $C_4^2.C_2^3$ x 2 |
16T205 x 2, 32T442, 32T443 x 2, 32T1959 x 2 |
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 |
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 |
32T447 |
$D_4^2:C_2$ |
$128$ |
$1$ |
✓ |
$2$ |
$38$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2^2$ x 6, $Q_8 : C_2^2$ x 2, $D_4:C_2^3$, $D_4^2:C_2$ x 4 |
16T206 x 16, 32T445 x 12, 32T446 x 4, 32T447 x 11, 32T1031 x 2, 32T1040 x 6 |
32T448 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ 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, $D_4\times C_2$, $C_4^2.C_2^3$ x 2 |
16T207 x 6, 32T448 x 2, 32T449 x 3, 32T450 x 2, 32T1911 x 6 |
32T449 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ 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 |
16T207 x 6, 32T448 x 3, 32T449 x 2, 32T450 x 2, 32T1911 x 6 |
32T450 |
$C_4^2.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ 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 3 |
16T207 x 6, 32T448 x 3, 32T449 x 3, 32T450, 32T1911 x 6 |
32T451 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ 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, $(((C_4 \times C_2): C_2):C_2):C_2$ x 4, $C_2 \times (C_2^2:C_4)$, $C_2\wr C_2^2$ x 2, $C_2^4.D_4$ x 2, $C_2^4.D_4$ x 2 |
16T208 x 4, 16T210 x 4, 16T217 x 8, 16T247 x 8, 32T451, 32T452, 32T453 x 4, 32T454 x 8, 32T455 x 4, 32T459 x 8, 32T460, 32T478 x 4, 32T479 x 2, 32T564 x 2, 32T565 x 2, 32T1567 x 2, 32T1705 |
32T452 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ x 7, $C_4$ x 4, $C_2^2$ x 7, $C_4\times C_2$ x 6, $C_2^3$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 4, $C_4\times C_2^2$, $C_2\wr C_2^2$ x 2, $C_2^4.D_4$ x 4 |
16T208 x 4, 16T210 x 4, 16T217 x 8, 16T247 x 8, 32T451 x 2, 32T453 x 4, 32T454 x 8, 32T455 x 4, 32T459 x 8, 32T460, 32T478 x 4, 32T479 x 2, 32T564 x 2, 32T565 x 2, 32T1567 x 2, 32T1705 |
32T453 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 2, $C_4\times C_2$, $D_4\times C_2$, $Q_8:C_2$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 4, $C_4 \times D_4$, $C_2\wr C_2^2$ x 2, $C_2^4.D_4$ x 2, $C_2^4.D_4$ x 2 |
16T208 x 4, 16T210 x 4, 16T217 x 8, 16T247 x 8, 32T451 x 2, 32T452, 32T453 x 3, 32T454 x 8, 32T455 x 4, 32T459 x 8, 32T460, 32T478 x 4, 32T479 x 2, 32T564 x 2, 32T565 x 2, 32T1567 x 2, 32T1705 |
32T454 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 2, $C_4\times C_2$, $D_4\times C_2$, $Q_8:C_2$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_4 \times D_4$, $C_2\wr C_2^2$ x 2, $C_2^4.D_4$, $C_2^4.D_4$ |
16T208 x 4, 16T210 x 4, 16T217 x 8, 16T247 x 8, 32T451 x 2, 32T452, 32T453 x 4, 32T454 x 7, 32T455 x 4, 32T459 x 8, 32T460, 32T478 x 4, 32T479 x 2, 32T564 x 2, 32T565 x 2, 32T1567 x 2, 32T1705 |
32T455 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ 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, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $(((C_4 \times C_2): C_2):C_2):C_2$ x 2, $C_2 \times (C_2^2:C_4)$, $C_2\wr C_2^2$ x 2, $C_2^4.D_4$, $C_2^4.D_4$, $C_2^4.D_4$ x 2 |
16T208 x 4, 16T210 x 4, 16T217 x 8, 16T247 x 8, 32T451 x 2, 32T452, 32T453 x 4, 32T454 x 8, 32T455 x 3, 32T459 x 8, 32T460, 32T478 x 4, 32T479 x 2, 32T564 x 2, 32T565 x 2, 32T1567 x 2, 32T1705 |
32T456 |
$(C_2\times C_8):D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 4, $C_4\times C_2$, $D_4$ x 2, $C_2^2:C_4$ x 2, $C_2^2 : C_4$, $(C_2\times C_8):D_4$ x 2 |
16T209 x 4, 16T279 x 2, 32T456, 32T457 x 2, 32T458 x 2, 32T647 x 2, 32T648 x 4, 32T649, 32T650 |
32T457 |
$(C_2\times C_8):D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $(C_2\times C_8):D_4$ x 2, $(C_2\times C_8):D_4$ |
16T209 x 4, 16T279 x 2, 32T456 x 2, 32T457, 32T458 x 2, 32T647 x 2, 32T648 x 4, 32T649, 32T650 |
32T458 |
$(C_2\times C_8):D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ 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, $C_2 \times (C_2^2:C_4)$, $(C_2\times C_8):D_4$ x 2 |
16T209 x 4, 16T279 x 2, 32T456 x 2, 32T457 x 2, 32T458, 32T647 x 2, 32T648 x 4, 32T649, 32T650 |
32T459 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 4, $D_4\times C_2$ x 2, $Q_8:C_2$, $(((C_4 \times C_2): C_2):C_2):C_2$, $(((C_4 \times C_2): C_2):C_2):C_2$ x 3, $C_4:D_4$, $C_2\wr C_2^2$, $C_2\wr C_2^2$, $C_2^4.D_4$ x 2, $C_2^4.D_4$ x 2 |
16T208 x 4, 16T210 x 4, 16T217 x 8, 16T247 x 8, 32T451 x 2, 32T452, 32T453 x 4, 32T454 x 8, 32T455 x 4, 32T459 x 7, 32T460, 32T478 x 4, 32T479 x 2, 32T564 x 2, 32T565 x 2, 32T1567 x 2, 32T1705 |
32T460 |
$C_2^4.D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$32$ |
$C_2$ 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, $D_4\times C_2$, $C_2\wr C_2^2$ x 2, $C_2^4.D_4$ x 4 |
16T208 x 4, 16T210 x 4, 16T217 x 8, 16T247 x 8, 32T451 x 2, 32T452, 32T453 x 4, 32T454 x 8, 32T455 x 4, 32T459 x 8, 32T478 x 4, 32T479 x 2, 32T564 x 2, 32T565 x 2, 32T1567 x 2, 32T1705 |
32T461 |
$C_4^2:D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_4\wr C_2$ x 4, $C_2^2 \wr C_2$ x 4, $C_2^2\wr C_2$, $C_4\wr C_2$ x 2, $C_4^2:D_4$ x 4 |
16T211 x 16, 32T461 x 3, 32T462 x 8, 32T1895 x 4 |
32T462 |
$C_4^2:D_4$ |
$128$ |
$1$ |
✓ |
$3$ |
$44$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_4\wr C_2$ x 4, $C_2^2 \wr C_2$ x 4, $C_2^2\wr C_2$, $C_4^2:C_2^2$ x 2, $C_4^2:D_4$ x 4 |
16T211 x 16, 32T461 x 4, 32T462 x 7, 32T1895 x 4 |
32T463 |
$C_2^4.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ x 7, $C_4$ x 4, $C_2^2$ x 7, $C_4\times C_2$ x 6, $C_2^3$, $C_4\times C_2^2$, $C_2^4.C_2^3$, $C_2^4.C_2^3$ |
16T212, 16T229 x 4, 16T231, 16T286 x 2, 16T316 x 2, 32T464 x 4, 32T465 x 2, 32T514 x 4, 32T517 x 2, 32T518 x 2, 32T662 x 4 |
32T464 |
$C_2^4.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2$ x 3, $Q_8 : C_2$, $C_2^4.C_2^3$, $C_2^4.C_2^3$ |
16T212, 16T229 x 4, 16T231, 16T286 x 2, 16T316 x 2, 32T463, 32T464 x 3, 32T465 x 2, 32T514 x 4, 32T517 x 2, 32T518 x 2, 32T662 x 4 |
32T465 |
$C_2^4.C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4$ x 2, $D_4\times C_2$ x 4, $D_4\times C_2$, $C_2^4.C_2^3$, $C_2^4.C_2^3$ |
16T212, 16T229 x 4, 16T231, 16T286 x 2, 16T316 x 2, 32T463, 32T464 x 4, 32T465, 32T514 x 4, 32T517 x 2, 32T518 x 2, 32T662 x 4 |
32T466 |
$(C_2^2\times D_4):C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 4, $C_4\times C_2$, $D_4$ x 2, $C_2^2:C_4$ x 2, $C_2^2 : C_4$, $(C_2^2\times D_4):C_4$ x 2 |
16T213 x 2, 16T281 x 2, 16T315 x 2, 32T467 x 2, 32T468 x 2, 32T653, 32T654 x 2, 32T729 x 4, 32T730, 32T1123 x 2 |
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 |
32T468 |
$(C_2^2\times D_4):C_4$ |
$128$ |
$1$ |
✓ |
$4$ |
$23$ |
$C_2$ 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, 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 |
32T470 |
$C_4^2:C_2^3$ |
$128$ |
$1$ |
✓ |
$3$ |
$29$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4\times C_2$ x 3, $C_2^2 \wr C_2$ x 4, $C_2^3:D_4$, $C_4^2:C_2^3$ x 2 |
16T214 x 4, 16T262 x 4, 16T288 x 2, 32T469 x 4, 32T470 x 7, 32T471 x 4, 32T603 x 4, 32T604 x 2, 32T605 x 2, 32T665 x 2, 32T666 |
Results are complete for degrees $\leq 23$.