# Extensions 1→N→G→Q→1 with N=Q8 and Q=C22×S3

Direct product G=N×Q with N=Q8 and Q=C22×S3
dρLabelID
C22×S3×Q896C2^2xS3xQ8192,1517

Semidirect products G=N:Q with N=Q8 and Q=C22×S3
extensionφ:Q→Out NdρLabelID
Q8⋊(C22×S3) = C22×GL2(𝔽3)φ: C22×S3/C22S3 ⊆ Out Q832Q8:(C2^2xS3)192,1475
Q82(C22×S3) = C2×S3×SD16φ: C22×S3/D6C2 ⊆ Out Q848Q8:2(C2^2xS3)192,1317
Q83(C22×S3) = C2×Q83D6φ: C22×S3/D6C2 ⊆ Out Q848Q8:3(C2^2xS3)192,1318
Q84(C22×S3) = S3×C8⋊C22φ: C22×S3/D6C2 ⊆ Out Q8248+Q8:4(C2^2xS3)192,1331
Q85(C22×S3) = C22×Q82S3φ: C22×S3/C2×C6C2 ⊆ Out Q896Q8:5(C2^2xS3)192,1366
Q86(C22×S3) = C2×D4⋊D6φ: C22×S3/C2×C6C2 ⊆ Out Q848Q8:6(C2^2xS3)192,1379
Q87(C22×S3) = C22×Q83S3φ: trivial image96Q8:7(C2^2xS3)192,1518
Q88(C22×S3) = C2×S3×C4○D4φ: trivial image48Q8:8(C2^2xS3)192,1520
Q89(C22×S3) = C2×D4○D12φ: trivial image48Q8:9(C2^2xS3)192,1521
Q810(C22×S3) = S3×2+ 1+4φ: trivial image248+Q8:10(C2^2xS3)192,1524

Non-split extensions G=N.Q with N=Q8 and Q=C22×S3
extensionφ:Q→Out NdρLabelID
Q8.1(C22×S3) = C22×CSU2(𝔽3)φ: C22×S3/C22S3 ⊆ Out Q864Q8.1(C2^2xS3)192,1474
Q8.2(C22×S3) = C2×Q8.D6φ: C22×S3/C22S3 ⊆ Out Q832Q8.2(C2^2xS3)192,1476
Q8.3(C22×S3) = C2×C4.S4φ: C22×S3/C22S3 ⊆ Out Q864Q8.3(C2^2xS3)192,1479
Q8.4(C22×S3) = C2×C4.6S4φ: C22×S3/C22S3 ⊆ Out Q832Q8.4(C2^2xS3)192,1480
Q8.5(C22×S3) = C2×C4.3S4φ: C22×S3/C22S3 ⊆ Out Q832Q8.5(C2^2xS3)192,1481
Q8.6(C22×S3) = GL2(𝔽3)⋊C22φ: C22×S3/C22S3 ⊆ Out Q8324Q8.6(C2^2xS3)192,1482
Q8.7(C22×S3) = Q8.6S4φ: C22×S3/C22S3 ⊆ Out Q8324Q8.7(C2^2xS3)192,1483
Q8.8(C22×S3) = Q8.7S4φ: C22×S3/C22S3 ⊆ Out Q8324+Q8.8(C2^2xS3)192,1484
Q8.9(C22×S3) = D4.4S4φ: C22×S3/C22S3 ⊆ Out Q8164Q8.9(C2^2xS3)192,1485
Q8.10(C22×S3) = D4.5S4φ: C22×S3/C22S3 ⊆ Out Q8324-Q8.10(C2^2xS3)192,1486
Q8.11(C22×S3) = C2×D4.D6φ: C22×S3/D6C2 ⊆ Out Q896Q8.11(C2^2xS3)192,1319
Q8.12(C22×S3) = C2×Q8.7D6φ: C22×S3/D6C2 ⊆ Out Q896Q8.12(C2^2xS3)192,1320
Q8.13(C22×S3) = SD1613D6φ: C22×S3/D6C2 ⊆ Out Q8484Q8.13(C2^2xS3)192,1321
Q8.14(C22×S3) = C2×S3×Q16φ: C22×S3/D6C2 ⊆ Out Q896Q8.14(C2^2xS3)192,1322
Q8.15(C22×S3) = C2×Q16⋊S3φ: C22×S3/D6C2 ⊆ Out Q896Q8.15(C2^2xS3)192,1323
Q8.16(C22×S3) = C2×D24⋊C2φ: C22×S3/D6C2 ⊆ Out Q896Q8.16(C2^2xS3)192,1324
Q8.17(C22×S3) = D12.30D4φ: C22×S3/D6C2 ⊆ Out Q8964Q8.17(C2^2xS3)192,1325
Q8.18(C22×S3) = S3×C4○D8φ: C22×S3/D6C2 ⊆ Out Q8484Q8.18(C2^2xS3)192,1326
Q8.19(C22×S3) = SD16⋊D6φ: C22×S3/D6C2 ⊆ Out Q8484Q8.19(C2^2xS3)192,1327
Q8.20(C22×S3) = D815D6φ: C22×S3/D6C2 ⊆ Out Q8484+Q8.20(C2^2xS3)192,1328
Q8.21(C22×S3) = D811D6φ: C22×S3/D6C2 ⊆ Out Q8484Q8.21(C2^2xS3)192,1329
Q8.22(C22×S3) = D8.10D6φ: C22×S3/D6C2 ⊆ Out Q8964-Q8.22(C2^2xS3)192,1330
Q8.23(C22×S3) = D84D6φ: C22×S3/D6C2 ⊆ Out Q8488-Q8.23(C2^2xS3)192,1332
Q8.24(C22×S3) = D85D6φ: C22×S3/D6C2 ⊆ Out Q8488+Q8.24(C2^2xS3)192,1333
Q8.25(C22×S3) = D86D6φ: C22×S3/D6C2 ⊆ Out Q8488-Q8.25(C2^2xS3)192,1334
Q8.26(C22×S3) = S3×C8.C22φ: C22×S3/D6C2 ⊆ Out Q8488-Q8.26(C2^2xS3)192,1335
Q8.27(C22×S3) = D24⋊C22φ: C22×S3/D6C2 ⊆ Out Q8488+Q8.27(C2^2xS3)192,1336
Q8.28(C22×S3) = C24.C23φ: C22×S3/D6C2 ⊆ Out Q8488+Q8.28(C2^2xS3)192,1337
Q8.29(C22×S3) = SD16.D6φ: C22×S3/D6C2 ⊆ Out Q8968-Q8.29(C2^2xS3)192,1338
Q8.30(C22×S3) = C2×Q8.11D6φ: C22×S3/C2×C6C2 ⊆ Out Q896Q8.30(C2^2xS3)192,1367
Q8.31(C22×S3) = C22×C3⋊Q16φ: C22×S3/C2×C6C2 ⊆ Out Q8192Q8.31(C2^2xS3)192,1368
Q8.32(C22×S3) = C2×Q8.13D6φ: C22×S3/C2×C6C2 ⊆ Out Q896Q8.32(C2^2xS3)192,1380
Q8.33(C22×S3) = C12.C24φ: C22×S3/C2×C6C2 ⊆ Out Q8484Q8.33(C2^2xS3)192,1381
Q8.34(C22×S3) = C2×Q8.14D6φ: C22×S3/C2×C6C2 ⊆ Out Q896Q8.34(C2^2xS3)192,1382
Q8.35(C22×S3) = D12.32C23φ: C22×S3/C2×C6C2 ⊆ Out Q8488+Q8.35(C2^2xS3)192,1394
Q8.36(C22×S3) = D12.33C23φ: C22×S3/C2×C6C2 ⊆ Out Q8488-Q8.36(C2^2xS3)192,1395
Q8.37(C22×S3) = D12.34C23φ: C22×S3/C2×C6C2 ⊆ Out Q8488+Q8.37(C2^2xS3)192,1396
Q8.38(C22×S3) = D12.35C23φ: C22×S3/C2×C6C2 ⊆ Out Q8968-Q8.38(C2^2xS3)192,1397
Q8.39(C22×S3) = C2×Q8.15D6φ: trivial image96Q8.39(C2^2xS3)192,1519
Q8.40(C22×S3) = C2×Q8○D12φ: trivial image96Q8.40(C2^2xS3)192,1522
Q8.41(C22×S3) = C6.C25φ: trivial image484Q8.41(C2^2xS3)192,1523
Q8.42(C22×S3) = D6.C24φ: trivial image488-Q8.42(C2^2xS3)192,1525
Q8.43(C22×S3) = S3×2- 1+4φ: trivial image488-Q8.43(C2^2xS3)192,1526
Q8.44(C22×S3) = D12.39C23φ: trivial image488+Q8.44(C2^2xS3)192,1527

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