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Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
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Results (1-50 of 248 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
16T1082 $C_2^7:C_2^3$ $1024$ $1$ ✓ $C_2$ x 7, $C_2^2$ x 7, $C_2^3$ 16T1082 x 7, 16T1083 x 56, 32T35273 x 56, 32T35274 x 84, 32T35275 x 112, 32T35276 x 28, 32T35277 x 224, 32T35278 x 84, 32T35279 x 84, 32T42936 x 28
16T1083 $C_2^7:C_2^3$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2^2$ 16T1082 x 8, 16T1083 x 55, 32T35273 x 56, 32T35274 x 84, 32T35275 x 112, 32T35276 x 28, 32T35277 x 224, 32T35278 x 84, 32T35279 x 84, 32T42936 x 28
16T1084 $C_4^3.C_2^4$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2^2$ 16T1084 x 15, 32T35280 x 8, 32T35281 x 64, 32T35282 x 24, 32T35283 x 24, 32T42941 x 24
16T1085 $D_4^2:C_2.D_4$ $1024$ $1$ ✓ $C_2$, $C_4$, $C_2^3: C_4$ 16T1085 x 3, 16T1088 x 8, 16T1094 x 4, 32T35284 x 4, 32T35285 x 2, 32T35286 x 4, 32T35287 x 4, 32T35288 x 2, 32T35323 x 8, 32T35324 x 8, 32T35325 x 4, 32T35326 x 8, 32T35327 x 4, 32T35370 x 8, 32T35371 x 2, 32T35372 x 4, 32T35373 x 2, 32T35374 x 4, 32T35375 x 4, 32T45919 x 2, 32T45921 x 2, 32T70051 x 2, 32T70627 x 4, 32T88066 x 2, 32T90083 x 4, 32T94976 x 2
16T1086 $(C_2^2\times D_4^2):C_4$ $1024$ $1$ ✓ $C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$ 16T1086 x 15, 16T1100 x 32, 32T35289 x 32, 32T35290 x 32, 32T35291 x 32, 32T35292 x 16, 32T35293 x 32, 32T35294 x 16, 32T35295 x 8, 32T35296 x 32, 32T35297 x 8, 32T35298 x 8, 32T35299 x 8, 32T35300 x 16, 32T35301 x 8, 32T35302 x 8, 32T35303 x 8, 32T35416 x 32, 32T35417 x 32, 32T35418 x 32, 32T35419 x 32, 32T35420 x 32, 32T35421 x 16, 32T35422 x 16, 32T35423 x 32, 32T35424 x 32, 32T35425 x 32, 32T35426 x 32, 32T35427 x 16, 32T35428 x 16, 32T35429 x 32, 32T35430 x 32, 32T35431 x 32, 32T35432 x 16, 32T35433 x 16
16T1087 $(C_2\times D_4^2):D_4$ $1024$ $1$ ✓ $C_2$, $D_{4}$ x 3, $C_2^2 \wr C_2$ 16T1087 x 47, 32T35304 x 24, 32T35305 x 48, 32T35306 x 48, 32T35307 x 48, 32T35308 x 48, 32T35309 x 48, 32T35310 x 48, 32T35311 x 48, 32T35312 x 48, 32T35313 x 24, 32T35314 x 48, 32T35315 x 48, 32T35316 x 24, 32T35317 x 48, 32T35318 x 24, 32T35319 x 48, 32T35320 x 24, 32T35321 x 24, 32T35322 x 24
16T1088 $D_4^2:C_2.D_4$ $1024$ $1$ ✓ $C_2$, $D_{4}$, $C_2^3 : C_4 $ 16T1085 x 4, 16T1088 x 7, 16T1094 x 4, 32T35284 x 4, 32T35285 x 2, 32T35286 x 4, 32T35287 x 4, 32T35288 x 2, 32T35323 x 8, 32T35324 x 8, 32T35325 x 4, 32T35326 x 8, 32T35327 x 4, 32T35370 x 8, 32T35371 x 2, 32T35372 x 4, 32T35373 x 2, 32T35374 x 4, 32T35375 x 4, 32T45919 x 2, 32T45921 x 2, 32T70051 x 2, 32T70627 x 4, 32T88066 x 2, 32T90083 x 4, 32T94976 x 2
16T1089 $(D_4\times C_2^3).C_2^4$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2^2$ 16T1089 x 7, 32T35328 x 4, 32T35329 x 4, 32T35330 x 8, 32T35331 x 8, 32T35332 x 4, 32T45901 x 4, 32T45905 x 4, 32T55642 x 8, 32T69976 x 2, 32T88744 x 4
16T1090 $C_2^7:(C_2\times C_4)$ $1024$ $1$ ✓ $C_2$, $C_4$, $C_2^3: C_4$ 16T1090 x 15, 16T1099 x 8, 16T1102 x 8, 32T35333 x 16, 32T35334 x 32, 32T35335 x 8, 32T35336 x 16, 32T35337 x 32, 32T35338 x 16, 32T35339 x 8, 32T35410 x 8, 32T35411 x 32, 32T35412 x 8, 32T35413 x 8, 32T35414 x 4, 32T35415 x 4, 32T35439 x 16, 32T35440 x 16, 32T35441 x 4, 32T35442 x 64, 32T35443 x 16, 32T35444 x 16, 32T35445 x 16, 32T35446 x 16, 32T35447 x 8, 32T35448 x 16, 32T35449 x 4, 32T35450 x 8, 32T35451 x 16, 32T35452 x 8, 32T35453 x 16, 32T44298 x 4, 32T45936 x 8
16T1091 $D_4^2:C_2.D_4$ $1024$ $1$ ✓ $C_2$, $C_4$, $C_2^3: C_4$ 16T1091 x 7, 32T35340 x 4, 32T35341 x 4, 32T35342 x 8, 32T35343 x 8, 32T35344 x 4, 32T45918 x 4, 32T45920 x 4, 32T70044 x 2, 32T88061 x 4
16T1092 $(D_4\times C_2^3).C_2^4$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2^2$ 16T1092 x 15, 32T35345 x 8, 32T35346 x 64, 32T35347 x 8, 32T35348 x 16, 32T35349 x 16, 32T35350 x 8, 32T44297 x 8, 32T45937 x 16
16T1093 $(C_2\times D_4^2):D_4$ $1024$ $1$ ✓ $C_2$, $D_{4}$ x 3, $C_2^2 \wr C_2$ 16T1093 x 31, 16T1098 x 16, 32T35351 x 32, 32T35352 x 32, 32T35353 x 32, 32T35354 x 32, 32T35355 x 32, 32T35356 x 32, 32T35357 x 32, 32T35358 x 16, 32T35359 x 32, 32T35360 x 32, 32T35361 x 16, 32T35362 x 32, 32T35363 x 32, 32T35364 x 16, 32T35365 x 16, 32T35366 x 32, 32T35367 x 32, 32T35368 x 16, 32T35369 x 16, 32T35396 x 32, 32T35397 x 16, 32T35398 x 16, 32T35399 x 16, 32T35400 x 32, 32T35401 x 8, 32T35402 x 32, 32T35403 x 8, 32T35404 x 8, 32T35405 x 8, 32T35406 x 8, 32T35407 x 32, 32T35408 x 8, 32T35409 x 8, 32T51222 x 16
16T1094 $D_4^2:C_2.D_4$ $1024$ $1$ ✓ $C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$ 16T1085 x 4, 16T1088 x 8, 16T1094 x 3, 32T35284 x 4, 32T35285 x 2, 32T35286 x 4, 32T35287 x 4, 32T35288 x 2, 32T35323 x 8, 32T35324 x 8, 32T35325 x 4, 32T35326 x 8, 32T35327 x 4, 32T35370 x 8, 32T35371 x 2, 32T35372 x 4, 32T35373 x 2, 32T35374 x 4, 32T35375 x 4, 32T45919 x 2, 32T45921 x 2, 32T70051 x 2, 32T70627 x 4, 32T88066 x 2, 32T90083 x 4, 32T94976 x 2
16T1095 $C_2^6.(C_2\times D_4)$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$ 16T1095 x 3, 16T1103 x 8, 16T1104 x 4, 32T35376 x 8, 32T35377 x 4, 32T35378 x 4, 32T35379 x 2, 32T35380 x 8, 32T35381 x 4, 32T35382 x 2, 32T35383 x 4, 32T35454 x 8, 32T35455 x 4, 32T35456 x 8, 32T35457 x 4, 32T35458 x 2, 32T35459 x 4, 32T35460 x 4, 32T35461 x 2, 32T45900 x 2, 32T45904 x 2, 32T51240 x 4, 32T51243 x 4, 32T55639 x 4, 32T69983 x 2, 32T70619 x 4, 32T88743 x 2, 32T90086 x 4, 32T94968 x 2
16T1096 $C_4^3.(C_2^2\times C_4)$ $1024$ $1$ ✓ $C_2$, $C_4$, $C_2^3: C_4$ 16T1096 x 15, 32T35384 x 8, 32T35385 x 32, 32T35386 x 8, 32T35387 x 16, 32T35388 x 32, 32T35389 x 16, 32T35390 x 8, 32T44300 x 8
16T1097 $D_4^2:C_2.D_4$ $1024$ $1$ ✓ $C_2$, $D_{4}$, $C_2^3 : C_4 $ 16T1097 x 7, 32T35391 x 4, 32T35392 x 8, 32T35393 x 4, 32T35394 x 4, 32T35395 x 8, 32T45925 x 4, 32T45930 x 4, 32T70624 x 2, 32T90085 x 4
16T1098 $(C_2\times D_4^2):D_4$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$ 16T1093 x 32, 16T1098 x 15, 32T35351 x 32, 32T35352 x 32, 32T35353 x 32, 32T35354 x 32, 32T35355 x 32, 32T35356 x 32, 32T35357 x 32, 32T35358 x 16, 32T35359 x 32, 32T35360 x 32, 32T35361 x 16, 32T35362 x 32, 32T35363 x 32, 32T35364 x 16, 32T35365 x 16, 32T35366 x 32, 32T35367 x 32, 32T35368 x 16, 32T35369 x 16, 32T35396 x 32, 32T35397 x 16, 32T35398 x 16, 32T35399 x 16, 32T35400 x 32, 32T35401 x 8, 32T35402 x 32, 32T35403 x 8, 32T35404 x 8, 32T35405 x 8, 32T35406 x 8, 32T35407 x 32, 32T35408 x 8, 32T35409 x 8, 32T51222 x 16
16T1099 $C_2^7:(C_2\times C_4)$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2^2$ 16T1090 x 16, 16T1099 x 7, 16T1102 x 8, 32T35333 x 16, 32T35334 x 32, 32T35335 x 8, 32T35336 x 16, 32T35337 x 32, 32T35338 x 16, 32T35339 x 8, 32T35410 x 8, 32T35411 x 32, 32T35412 x 8, 32T35413 x 8, 32T35414 x 4, 32T35415 x 4, 32T35439 x 16, 32T35440 x 16, 32T35441 x 4, 32T35442 x 64, 32T35443 x 16, 32T35444 x 16, 32T35445 x 16, 32T35446 x 16, 32T35447 x 8, 32T35448 x 16, 32T35449 x 4, 32T35450 x 8, 32T35451 x 16, 32T35452 x 8, 32T35453 x 16, 32T44298 x 4, 32T45936 x 8
16T1100 $(C_2^2\times D_4^2):C_4$ $1024$ $1$ ✓ $C_2$, $D_{4}$ x 3, $C_2^2 \wr C_2$ 16T1086 x 16, 16T1100 x 31, 32T35289 x 32, 32T35290 x 32, 32T35291 x 32, 32T35292 x 16, 32T35293 x 32, 32T35294 x 16, 32T35295 x 8, 32T35296 x 32, 32T35297 x 8, 32T35298 x 8, 32T35299 x 8, 32T35300 x 16, 32T35301 x 8, 32T35302 x 8, 32T35303 x 8, 32T35416 x 32, 32T35417 x 32, 32T35418 x 32, 32T35419 x 32, 32T35420 x 32, 32T35421 x 16, 32T35422 x 16, 32T35423 x 32, 32T35424 x 32, 32T35425 x 32, 32T35426 x 32, 32T35427 x 16, 32T35428 x 16, 32T35429 x 32, 32T35430 x 32, 32T35431 x 32, 32T35432 x 16, 32T35433 x 16
16T1101 $C_2^5:C_2^3:C_4$ $1024$ $1$ ✓ $C_2$, $D_{4}$, $C_2^3 : C_4 $ 16T1101 x 7, 32T35434 x 4, 32T35435 x 8, 32T35436 x 4, 32T35437 x 8, 32T35438 x 4, 32T45907 x 4, 32T45912 x 4, 32T70614 x 2, 32T90084 x 4
16T1102 $C_2^7:(C_2\times C_4)$ $1024$ $1$ ✓ $C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_4\times C_2$ 16T1090 x 16, 16T1099 x 8, 16T1102 x 7, 32T35333 x 16, 32T35334 x 32, 32T35335 x 8, 32T35336 x 16, 32T35337 x 32, 32T35338 x 16, 32T35339 x 8, 32T35410 x 8, 32T35411 x 32, 32T35412 x 8, 32T35413 x 8, 32T35414 x 4, 32T35415 x 4, 32T35439 x 16, 32T35440 x 16, 32T35441 x 4, 32T35442 x 64, 32T35443 x 16, 32T35444 x 16, 32T35445 x 16, 32T35446 x 16, 32T35447 x 8, 32T35448 x 16, 32T35449 x 4, 32T35450 x 8, 32T35451 x 16, 32T35452 x 8, 32T35453 x 16, 32T44298 x 4, 32T45936 x 8
16T1103 $C_2^6.(C_2\times D_4)$ $1024$ $1$ ✓ $C_2$, $D_{4}$, $C_2^3 : C_4 $ 16T1095 x 4, 16T1103 x 7, 16T1104 x 4, 32T35376 x 8, 32T35377 x 4, 32T35378 x 4, 32T35379 x 2, 32T35380 x 8, 32T35381 x 4, 32T35382 x 2, 32T35383 x 4, 32T35454 x 8, 32T35455 x 4, 32T35456 x 8, 32T35457 x 4, 32T35458 x 2, 32T35459 x 4, 32T35460 x 4, 32T35461 x 2, 32T45900 x 2, 32T45904 x 2, 32T51240 x 4, 32T51243 x 4, 32T55639 x 4, 32T69983 x 2, 32T70619 x 4, 32T88743 x 2, 32T90086 x 4, 32T94968 x 2
16T1104 $C_2^6.(C_2\times D_4)$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2^2$ 16T1095 x 4, 16T1103 x 8, 16T1104 x 3, 32T35376 x 8, 32T35377 x 4, 32T35378 x 4, 32T35379 x 2, 32T35380 x 8, 32T35381 x 4, 32T35382 x 2, 32T35383 x 4, 32T35454 x 8, 32T35455 x 4, 32T35456 x 8, 32T35457 x 4, 32T35458 x 2, 32T35459 x 4, 32T35460 x 4, 32T35461 x 2, 32T45900 x 2, 32T45904 x 2, 32T51240 x 4, 32T51243 x 4, 32T55639 x 4, 32T69983 x 2, 32T70619 x 4, 32T88743 x 2, 32T90086 x 4, 32T94968 x 2
16T1105 $(C_2\times D_4^2).D_4$ $1024$ $1$ ✓ $C_2$, $D_{4}$ x 3, $C_2^2 \wr C_2$ 16T1105 x 47, 32T35462 x 24, 32T35463 x 48, 32T35464 x 48, 32T35465 x 24, 32T35466 x 48, 32T35467 x 48, 32T35468 x 48, 32T35469 x 48, 32T35470 x 48, 32T35471 x 24, 32T35472 x 48, 32T35473 x 48, 32T35474 x 24, 32T35475 x 48, 32T35476 x 48, 32T35477 x 24, 32T35478 x 48, 32T35479 x 24, 32T35480 x 24
16T1106 $\OD_{16}^2:C_4$ $1024$ $-1$ ✓ $C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$ 16T1106 x 7, 32T35481 x 4, 32T35482 x 4, 32T35483 x 4, 32T56477 x 4, 32T56482 x 4, 32T70471 x 2, 32T70507 x 2, 32T70520 x 2
16T1107 $C_2^7:D_4$ $1024$ $1$ ✓ $C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$ 16T1107 x 31, 16T1121 x 8, 16T1171 x 8, 32T35484 x 32, 32T35485 x 32, 32T35486 x 64, 32T35487 x 16, 32T35488 x 32, 32T35489 x 16, 32T35490 x 32, 32T35491 x 32, 32T35578 x 8, 32T35579 x 32, 32T35580 x 8, 32T35581 x 4, 32T35582 x 4, 32T35583 x 8, 32T35966 x 8, 32T35967 x 32, 32T35968 x 32, 32T35969 x 16, 32T35970 x 8, 32T35971 x 32, 32T35972 x 4, 32T35973 x 16, 32T35974 x 4, 32T35975 x 16, 32T35976 x 8, 32T35977 x 32, 32T35978 x 16, 32T35979 x 8, 32T44040 x 4, 32T46312 x 8
16T1108 $(C_2\times C_4^3).D_4$ $1024$ $-1$ ✓ $C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$ 16T1108 x 7, 32T35492 x 4, 32T35493 x 8, 32T35494 x 4, 32T35495 x 8, 32T35496 x 4, 32T48968 x 4, 32T48972 x 4, 32T70454 x 2, 32T70544 x 4
16T1109 $(C_4\times \OD_{16}).C_4^2$ $1024$ $-1$ ✓ $C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$ 16T1109 x 7, 32T35497 x 4, 32T35498 x 16, 32T35499 x 4, 32T35500 x 4, 32T50145 x 4, 32T70473 x 4, 32T70517 x 2
16T1110 $(D_4\times C_2^3).C_2^4$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2^2$ 16T1110 x 3, 16T1242 x 4, 32T35501 x 4, 32T35502 x 4, 32T35503 x 2, 32T35504 x 4, 32T35505 x 2, 32T36566 x 4, 32T36567 x 4, 32T36568 x 2, 32T36569 x 8, 32T36570 x 4, 32T36571 x 2, 32T36572 x 4, 32T45876 x 2, 32T45881 x 2, 32T55526 x 4, 32T55534 x 4, 32T55655 x 4, 32T70178 x 2, 32T88740 x 2, 32T94981 x 2
16T1111 $C_2^6.(C_2\times D_4)$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $(((C_4 \times C_2): C_2):C_2):C_2$ 16T1111 x 7, 16T1167 x 8, 16T1172 x 8, 16T1213 x 8, 32T35506 x 8, 32T35507 x 8, 32T35508 x 8, 32T35509 x 4, 32T35510 x 8, 32T35511 x 8, 32T35512 x 16, 32T35513 x 4, 32T35929 x 8, 32T35930 x 8, 32T35931 x 4, 32T35932 x 4, 32T35933 x 8, 32T35934 x 4, 32T35935 x 8, 32T35936 x 4, 32T35937 x 8, 32T35938 x 4, 32T35939 x 8, 32T35940 x 4, 32T35941 x 8, 32T35942 x 4, 32T35943 x 8, 32T35944 x 8, 32T35945 x 4, 32T35946 x 8, 32T35947 x 4, 32T35948 x 4, 32T35949 x 4, 32T35950 x 4, 32T35980 x 8, 32T35981 x 4, 32T35982 x 8, 32T35983 x 16, 32T35984 x 8, 32T35985 x 4, 32T35986 x 8, 32T36336 x 8, 32T36337 x 4, 32T36338 x 8, 32T36339 x 4, 32T55494 x 8, 32T56456 x 4, 32T56992 x 8
16T1112 $(C_2\times C_4^3).D_4$ $1024$ $-1$ ✓ $C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$ 16T1112 x 7, 32T35514 x 4, 32T35515 x 8, 32T35516 x 4, 32T35517 x 8, 32T35518 x 4, 32T56511 x 4, 32T70468 x 2, 32T70523 x 4
16T1113 $C_4^2.C_2\wr C_4$ $1024$ $-1$ ✓ $C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$ 16T1113 x 15, 32T35519 x 8, 32T35520 x 16, 32T35521 x 32, 32T35522 x 8, 32T35523 x 16, 32T35524 x 16, 32T35525 x 8, 32T35526 x 16, 32T48765 x 8
16T1114 $(D_4\times C_2^3).C_2^4$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2^2$ 16T1114 x 3, 16T1122 x 4, 32T35527 x 4, 32T35528 x 2, 32T35529 x 2, 32T35530 x 2, 32T35531 x 2, 32T35532 x 2, 32T35533 x 2, 32T35584 x 2, 32T35585 x 4, 32T35586 x 4, 32T35587 x 2, 32T35588 x 2, 32T35589 x 4, 32T35590 x 4, 32T35591 x 2, 32T35592 x 2, 32T35593 x 2, 32T51260 x 2, 32T51685 x 2, 32T51689 x 2, 32T51693 x 2, 32T51697 x 2, 32T54759 x 2, 32T54767 x 2, 32T55594 x 2, 32T55599 x 2, 32T70289, 32T70301, 32T87377, 32T88823, 32T88824, 32T96666
16T1115 $(D_4\times C_2^3).C_2^4$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2^2$ 16T1115 x 3, 16T1136 x 4, 32T35534 x 4, 32T35535 x 2, 32T35536 x 2, 32T35537 x 2, 32T35538 x 2, 32T35539 x 2, 32T35540 x 2, 32T35705 x 2, 32T35706 x 4, 32T35707 x 2, 32T35708 x 4, 32T35709 x 2, 32T35710 x 4, 32T35711 x 2, 32T35712 x 4, 32T35713 x 2, 32T35714 x 2, 32T51745 x 2, 32T51747 x 2, 32T52411 x 2, 32T52414 x 2, 32T52420 x 2, 32T52430 x 2, 32T55575 x 2, 32T55579 x 2, 32T55624 x 2, 32T71211, 32T71218, 32T87358, 32T88755, 32T88828, 32T96667
16T1116 $C_2^7:D_4$ $1024$ $1$ ✓ $C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$, $C_2 \wr C_2\wr C_2$ x 2 16T1116 x 127, 32T35541 x 32, 32T35542 x 32, 32T35543 x 64, 32T35544 x 64, 32T35545 x 32, 32T35546 x 32, 32T35547 x 64, 32T35548 x 32, 32T35549 x 32, 32T35550 x 64, 32T35551 x 32, 32T44704 x 16, 32T44706 x 16, 32T44742 x 32, 32T45272 x 16, 32T46107 x 16, 32T46112 x 16, 32T46125 x 32, 32T49347 x 32, 32T49348 x 32, 32T49509 x 32, 32T51999 x 32, 32T55778 x 16, 32T55814 x 32, 32T56666 x 16
16T1117 $(D_4\times C_2^3).C_2^4$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2^2$ 16T1117 x 3, 16T1246 x 4, 32T35552 x 4, 32T35553 x 4, 32T35554 x 2, 32T35555 x 4, 32T35556 x 2, 32T36596 x 4, 32T36597 x 4, 32T36598 x 2, 32T36599 x 8, 32T36600 x 4, 32T36601 x 2, 32T36602 x 4, 32T45892 x 2, 32T45893 x 2, 32T55522 x 4, 32T55530 x 4, 32T55709 x 4, 32T70183 x 2, 32T88737 x 2, 32T94980 x 2
16T1118 $(C_2\times C_4^3).D_4$ $1024$ $-1$ ✓ $C_2$ x 3, $C_2^2$, $C_2^3: C_4$ 16T1118 x 15, 32T35557 x 8, 32T35558 x 64, 32T35559 x 8, 32T35560 x 16, 32T35561 x 16, 32T35562 x 8, 32T45038 x 8, 32T50395 x 16
16T1119 $C_2^7.D_4$ $1024$ $1$ ✓ $C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$ 16T1119 x 15, 16T1130 x 8, 16T1131 x 16, 16T1208 x 8, 32T35563 x 16, 32T35564 x 16, 32T35565 x 8, 32T35566 x 32, 32T35567 x 16, 32T35568 x 16, 32T35569 x 8, 32T35570 x 16, 32T35652 x 8, 32T35653 x 8, 32T35654 x 8, 32T35655 x 4, 32T35656 x 8, 32T35657 x 8, 32T35658 x 4, 32T35659 x 16, 32T35660 x 16, 32T35661 x 16, 32T35662 x 16, 32T35663 x 8, 32T35664 x 32, 32T35665 x 16, 32T35666 x 16, 32T35667 x 8, 32T35668 x 8, 32T35669 x 16, 32T35670 x 4, 32T35671 x 4, 32T35672 x 8, 32T35673 x 4, 32T35674 x 4, 32T35675 x 8, 32T35676 x 8, 32T35677 x 32, 32T35678 x 8, 32T35679 x 8, 32T36294 x 32, 32T36295 x 4, 32T36296 x 4, 32T36297 x 4, 32T36298 x 4, 32T36299 x 4, 32T36300 x 4, 32T48755 x 4, 32T50113 x 4, 32T50809 x 4
16T1120 $D_4^2:\OD_{16}$ $1024$ $-1$ ✓ $C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$ 16T1120 x 7, 32T35571 x 4, 32T35572 x 4, 32T35573 x 4, 32T35574 x 4, 32T35575 x 4, 32T35576 x 4, 32T35577 x 4, 32T49130 x 4, 32T49131 x 4, 32T70459 x 2, 32T70499 x 2, 32T70545 x 2
16T1121 $C_2^7:D_4$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2^2$ 16T1107 x 32, 16T1121 x 7, 16T1171 x 8, 32T35484 x 32, 32T35485 x 32, 32T35486 x 64, 32T35487 x 16, 32T35488 x 32, 32T35489 x 16, 32T35490 x 32, 32T35491 x 32, 32T35578 x 8, 32T35579 x 32, 32T35580 x 8, 32T35581 x 4, 32T35582 x 4, 32T35583 x 8, 32T35966 x 8, 32T35967 x 32, 32T35968 x 32, 32T35969 x 16, 32T35970 x 8, 32T35971 x 32, 32T35972 x 4, 32T35973 x 16, 32T35974 x 4, 32T35975 x 16, 32T35976 x 8, 32T35977 x 32, 32T35978 x 16, 32T35979 x 8, 32T44040 x 4, 32T46312 x 8
16T1122 $(D_4\times C_2^3).C_2^4$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2$ 16T1114 x 4, 16T1122 x 3, 32T35527 x 4, 32T35528 x 2, 32T35529 x 2, 32T35530 x 2, 32T35531 x 2, 32T35532 x 2, 32T35533 x 2, 32T35584 x 2, 32T35585 x 4, 32T35586 x 4, 32T35587 x 2, 32T35588 x 2, 32T35589 x 4, 32T35590 x 4, 32T35591 x 2, 32T35592 x 2, 32T35593 x 2, 32T51260 x 2, 32T51685 x 2, 32T51689 x 2, 32T51693 x 2, 32T51697 x 2, 32T54759 x 2, 32T54767 x 2, 32T55594 x 2, 32T55599 x 2, 32T70289, 32T70301, 32T87377, 32T88823, 32T88824, 32T96666
16T1123 $C_2^3\wr C_2:D_4$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2$ 16T1123 x 3, 16T1169 x 8, 16T1241 x 4, 32T35594 x 2, 32T35595 x 4, 32T35596 x 4, 32T35597 x 4, 32T35598 x 4, 32T35599 x 4, 32T35600 x 2, 32T35601 x 2, 32T35602 x 2, 32T35603 x 2, 32T35604 x 2, 32T35955 x 8, 32T35956 x 4, 32T35957 x 4, 32T35958 x 4, 32T35959 x 4, 32T35960 x 4, 32T35961 x 4, 32T36557 x 2, 32T36558 x 2, 32T36559 x 4, 32T36560 x 2, 32T36561 x 4, 32T36562 x 2, 32T36563 x 2, 32T36564 x 4, 32T36565 x 2, 32T52412 x 2, 32T52413 x 2, 32T54837 x 2, 32T54840 x 2, 32T55512 x 2, 32T55517 x 2, 32T55576 x 2, 32T55580 x 2, 32T64496 x 2, 32T64569 x 2, 32T71212, 32T71259, 32T85210 x 2, 32T85228 x 2, 32T86552, 32T87360, 32T96662, 32T96664
16T1124 $C_2^4.D_4^2$ $1024$ $1$ ✓ $C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$ 16T1124 x 15, 16T1148 x 8, 32T35605 x 16, 32T35606 x 8, 32T35607 x 8, 32T35608 x 8, 32T35609 x 8, 32T35610 x 8, 32T35611 x 8, 32T35802 x 4, 32T35803 x 4, 32T35804 x 8, 32T35805 x 4, 32T35806 x 4, 32T35807 x 8, 32T35808 x 4, 32T35809 x 4, 32T35810 x 8, 32T35811 x 4, 32T52393 x 4, 32T52399 x 4, 32T55501 x 4, 32T55507 x 4, 32T64498 x 4, 32T64565 x 4, 32T70227, 32T70229, 32T85198 x 4, 32T85240 x 4, 32T86556 x 2, 32T96656 x 2
16T1125 $C_2^6.(C_2\times D_4)$ $1024$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$ 16T1125 x 7, 16T1218 x 16, 16T1238 x 8, 32T35612 x 16, 32T35613 x 16, 32T35614 x 8, 32T35615 x 8, 32T35616 x 8, 32T35617 x 16, 32T35618 x 8, 32T35619 x 16, 32T35620 x 4, 32T35621 x 4, 32T35622 x 4, 32T35623 x 16, 32T35624 x 4, 32T35625 x 4, 32T35626 x 4, 32T36363 x 8, 32T36364 x 8, 32T36365 x 8, 32T36366 x 8, 32T36367 x 8, 32T36368 x 8, 32T36536 x 8, 32T36537 x 32, 32T36538 x 4, 32T36539 x 32, 32T36540 x 4, 32T36541 x 8, 32T36542 x 4, 32T36543 x 4, 32T36544 x 8, 32T36545 x 8, 32T36546 x 4, 32T36547 x 4, 32T51230 x 8, 32T55544 x 8
16T1126 $C_2^6.(C_2\times D_4)$ $1024$ $1$ ✓ $C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$ 16T1126 x 7, 16T1143 x 4, 16T1183 x 4, 32T35627 x 8, 32T35628 x 8, 32T35629 x 4, 32T35630 x 8, 32T35631 x 4, 32T35764 x 4, 32T35765 x 4, 32T35766 x 4, 32T35767 x 2, 32T35768 x 2, 32T36086 x 8, 32T36087 x 4, 32T36088 x 2, 32T36089 x 4, 32T36090 x 2, 32T36091 x 4, 32T46289 x 2, 32T46290 x 2, 32T51246 x 4, 32T51247 x 4, 32T55686 x 4, 32T70011 x 2, 32T70481 x 4, 32T70490 x 4, 32T88742 x 2, 32T94969 x 2
16T1127 $(C_2\times D_4).D_4^2$ $1024$ $1$ ✓ $C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$ 16T1127 x 15, 32T35632 x 8, 32T35633 x 16, 32T35634 x 32, 32T35635 x 8, 32T35636 x 16, 32T35637 x 8, 32T35638 x 16, 32T35639 x 16, 32T46317 x 8
16T1128 $(C_2\times C_4^3):D_4$ $1024$ $1$ ✓ $C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$ 16T1128 x 7, 32T35640 x 4, 32T35641 x 8, 32T35642 x 4, 32T35643 x 8, 32T35644 x 4, 32T46293 x 4, 32T46295 x 4, 32T70478 x 2, 32T70488 x 4
16T1129 $C_2^3\wr C_2:D_4$ $1024$ $1$ ✓ $C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$ 16T1129 x 7, 16T1159 x 4, 16T1220 x 4, 32T35645 x 8, 32T35646 x 4, 32T35647 x 4, 32T35648 x 4, 32T35649 x 4, 32T35650 x 4, 32T35651 x 4, 32T35868 x 4, 32T35869 x 2, 32T35870 x 2, 32T35871 x 2, 32T35872 x 2, 32T35873 x 2, 32T35874 x 2, 32T36375 x 2, 32T36376 x 2, 32T36377 x 4, 32T36378 x 2, 32T36379 x 4, 32T36380 x 2, 32T36381 x 2, 32T36382 x 4, 32T36383 x 2, 32T51746 x 2, 32T51748 x 2, 32T52422 x 2, 32T52428 x 2, 32T54838 x 2, 32T54839 x 2, 32T55510 x 2, 32T55519 x 2, 32T55626 x 2, 32T64557 x 2, 32T64573 x 2, 32T71209, 32T71271, 32T85202 x 2, 32T85223 x 2, 32T86555, 32T88757, 32T88829, 32T96660
16T1130 $C_2^7.D_4$ $1024$ $-1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$ 16T1119 x 16, 16T1130 x 7, 16T1131 x 16, 16T1208 x 8, 32T35563 x 16, 32T35564 x 16, 32T35565 x 8, 32T35566 x 32, 32T35567 x 16, 32T35568 x 16, 32T35569 x 8, 32T35570 x 16, 32T35652 x 8, 32T35653 x 8, 32T35654 x 8, 32T35655 x 4, 32T35656 x 8, 32T35657 x 8, 32T35658 x 4, 32T35659 x 16, 32T35660 x 16, 32T35661 x 16, 32T35662 x 16, 32T35663 x 8, 32T35664 x 32, 32T35665 x 16, 32T35666 x 16, 32T35667 x 8, 32T35668 x 8, 32T35669 x 16, 32T35670 x 4, 32T35671 x 4, 32T35672 x 8, 32T35673 x 4, 32T35674 x 4, 32T35675 x 8, 32T35676 x 8, 32T35677 x 32, 32T35678 x 8, 32T35679 x 8, 32T36294 x 32, 32T36295 x 4, 32T36296 x 4, 32T36297 x 4, 32T36298 x 4, 32T36299 x 4, 32T36300 x 4, 32T48755 x 4, 32T50113 x 4, 32T50809 x 4
16T1131 $C_2^7.D_4$ $1024$ $1$ ✓ $C_2$, $D_{4}$, $(C_4^2 : C_2):C_2$ 16T1119 x 16, 16T1130 x 8, 16T1131 x 15, 16T1208 x 8, 32T35563 x 16, 32T35564 x 16, 32T35565 x 8, 32T35566 x 32, 32T35567 x 16, 32T35568 x 16, 32T35569 x 8, 32T35570 x 16, 32T35652 x 8, 32T35653 x 8, 32T35654 x 8, 32T35655 x 4, 32T35656 x 8, 32T35657 x 8, 32T35658 x 4, 32T35659 x 16, 32T35660 x 16, 32T35661 x 16, 32T35662 x 16, 32T35663 x 8, 32T35664 x 32, 32T35665 x 16, 32T35666 x 16, 32T35667 x 8, 32T35668 x 8, 32T35669 x 16, 32T35670 x 4, 32T35671 x 4, 32T35672 x 8, 32T35673 x 4, 32T35674 x 4, 32T35675 x 8, 32T35676 x 8, 32T35677 x 32, 32T35678 x 8, 32T35679 x 8, 32T36294 x 32, 32T36295 x 4, 32T36296 x 4, 32T36297 x 4, 32T36298 x 4, 32T36299 x 4, 32T36300 x 4, 32T48755 x 4, 32T50113 x 4, 32T50809 x 4
Next   displayed columns for results

Results are complete for degrees $\leq 23$.