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Label Name Order Parity Solvable Subfields Low Degree Siblings
32T421 $C_2^4:C_2^3$ $128$ $1$ $C_2$ 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 $D_4^2:C_2$ $128$ $1$ $C_2$ 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 $D_4^2:C_2$ $128$ $1$ $C_2$ 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 $D_4^2:C_2$ $128$ $1$ $C_2$ 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 $D_4^2:C_2$ $128$ $1$ $C_2$ 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 $C_2^3.C_2^4$ $128$ $1$ $C_2$ 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 $C_2^3.C_2^4$ $128$ $1$ $C_2$ 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 $\OD_{16}.C_2^3$ $128$ $1$ $C_2$ 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 $\OD_{16}.C_2^3$ $128$ $1$ $C_2$ 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 $\OD_{16}.C_2^3$ $128$ $1$ $C_2$ 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 $C_4^2:C_2^3$ $128$ $1$ $C_2$ 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 $C_4^2:C_2^3$ $128$ $1$ $C_2$ 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 $C_4^2:C_2^3$ $128$ $1$ $C_2$ 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 $C_4^2:C_2^3$ $128$ $1$ $C_2$ 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 $C_2^3.C_2^4$ $128$ $1$ $C_2$ 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 $C_2^3.C_2^4$ $128$ $1$ $C_2$ 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 $C_2^3.C_2^4$ $128$ $1$ $C_2$ 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 $C_2^3.C_2^4$ $128$ $1$ $C_2$ 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 $D_8:C_2^3$ $128$ $1$ $C_2$ 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 $D_8:C_2^3$ $128$ $1$ $C_2$ 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 $D_8:C_2^3$ $128$ $1$ $C_2$ 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 $C_4^2.C_2^3$ $128$ $1$ $C_2$ 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 $C_4^2.C_2^3$ $128$ $1$ $C_2$ 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 $C_4^2.C_2^3$ $128$ $1$ $C_2$ 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 $D_4^2:C_2$ $128$ $1$ $C_2$ 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 $D_4^2:C_2$ $128$ $1$ $C_2$ 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 $D_4^2:C_2$ $128$ $1$ $C_2$ 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 $C_4^2.C_2^3$ $128$ $1$ $C_2$ 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 $C_4^2.C_2^3$ $128$ $1$ $C_2$ 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 $C_4^2.C_2^3$ $128$ $1$ $C_2$ 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 $C_2^4.D_4$ $128$ $1$ $C_2$ 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 $C_2^4.D_4$ $128$ $1$ $C_2$ 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 $C_2^4.D_4$ $128$ $1$ $C_2$ 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 $C_2^4.D_4$ $128$ $1$ $C_2$ 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 $C_2^4.D_4$ $128$ $1$ $C_2$ 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 $(C_2\times C_8):D_4$ $128$ $1$ $C_2$ 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 $(C_2\times C_8):D_4$ $128$ $1$ $C_2$ 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 $(C_2\times C_8):D_4$ $128$ $1$ $C_2$ 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 $C_2^4.D_4$ $128$ $1$ $C_2$ 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 $C_2^4.D_4$ $128$ $1$ $C_2$ 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 $C_4^2:D_4$ $128$ $1$ $C_2$ 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 $C_4^2:D_4$ $128$ $1$ $C_2$ 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 $C_2^4.C_2^3$ $128$ $1$ $C_2$ 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 $C_2^4.C_2^3$ $128$ $1$ $C_2$ 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 $C_2^4.C_2^3$ $128$ $1$ $C_2$ 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 $(C_2^2\times D_4):C_4$ $128$ $1$ $C_2$ 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 $(C_2^2\times D_4):C_4$ $128$ $1$ $C_2$ 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 $(C_2^2\times D_4):C_4$ $128$ $1$ $C_2$ 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 $C_4^2:C_2^3$ $128$ $1$ $C_2$ 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 $C_4^2:C_2^3$ $128$ $1$ $C_2$ 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
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Results are complete for degrees $\leq 23$.