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Extensions 1→N→G→Q→1 with N=C4○D4 and Q=D6

Direct product G=N×Q with N=C4○D4 and Q=D6
dρLabelID
C2×S3×C4○D448C2xS3xC4oD4192,1520

Semidirect products G=N:Q with N=C4○D4 and Q=D6
extensionφ:Q→Out NdρLabelID
C4○D4⋊D6 = D4.4S4φ: D6/C1 → D6 ⊆ Out C4○D4164C4oD4:D6192,1485
C4○D4⋊2D6 = C2×C4.6S4φ: D6/C2 → S3 ⊆ Out C4○D432C4oD4:2D6192,1480
C4○D4⋊3D6 = C2×C4.3S4φ: D6/C2 → S3 ⊆ Out C4○D432C4oD4:3D6192,1481
C4○D4⋊4D6 = D8⋊15D6φ: D6/C3 → C22 ⊆ Out C4○D4484+C4oD4:4D6192,1328
C4○D4⋊5D6 = D8⋊11D6φ: D6/C3 → C22 ⊆ Out C4○D4484C4oD4:5D6192,1329
C4○D4⋊6D6 = D8⋊5D6φ: D6/C3 → C22 ⊆ Out C4○D4488+C4oD4:6D6192,1333
C4○D4⋊7D6 = D8⋊6D6φ: D6/C3 → C22 ⊆ Out C4○D4488-C4oD4:7D6192,1334
C4○D4⋊8D6 = D12.32C23φ: D6/C3 → C22 ⊆ Out C4○D4488+C4oD4:8D6192,1394
C4○D4⋊9D6 = D12.34C23φ: D6/C3 → C22 ⊆ Out C4○D4488+C4oD4:9D6192,1396
C4○D4⋊10D6 = S3×C4○D8φ: D6/S3 → C2 ⊆ Out C4○D4484C4oD4:10D6192,1326
C4○D4⋊11D6 = SD16⋊D6φ: D6/S3 → C2 ⊆ Out C4○D4484C4oD4:11D6192,1327
C4○D4⋊12D6 = S3×C8⋊C22φ: D6/S3 → C2 ⊆ Out C4○D4248+C4oD4:12D6192,1331
C4○D4⋊13D6 = S3×2+ 1+4φ: D6/S3 → C2 ⊆ Out C4○D4248+C4oD4:13D6192,1524
C4○D4⋊14D6 = D6.C24φ: D6/S3 → C2 ⊆ Out C4○D4488-C4oD4:14D6192,1525
C4○D4⋊15D6 = S3×2- 1+4φ: D6/S3 → C2 ⊆ Out C4○D4488-C4oD4:15D6192,1526
C4○D4⋊16D6 = D12.39C23φ: D6/S3 → C2 ⊆ Out C4○D4488+C4oD4:16D6192,1527
C4○D4⋊17D6 = C2×D4⋊D6φ: D6/C6 → C2 ⊆ Out C4○D448C4oD4:17D6192,1379
C4○D4⋊18D6 = C2×Q8.13D6φ: D6/C6 → C2 ⊆ Out C4○D496C4oD4:18D6192,1380
C4○D4⋊19D6 = C12.C24φ: D6/C6 → C2 ⊆ Out C4○D4484C4oD4:19D6192,1381
C4○D4⋊20D6 = C2×D4○D12φ: D6/C6 → C2 ⊆ Out C4○D448C4oD4:20D6192,1521
C4○D4⋊21D6 = C2×Q8○D12φ: D6/C6 → C2 ⊆ Out C4○D496C4oD4:21D6192,1522
C4○D4⋊22D6 = C6.C25φ: trivial image484C4oD4:22D6192,1523

Non-split extensions G=N.Q with N=C4○D4 and Q=D6
extensionφ:Q→Out NdρLabelID
C4○D4.1D6 = Q8.4S4φ: D6/C1 → D6 ⊆ Out C4○D4484C4oD4.1D6192,987
C4○D4.2D6 = Q8.5S4φ: D6/C1 → D6 ⊆ Out C4○D4244+C4oD4.2D6192,988
C4○D4.3D6 = D4.S4φ: D6/C1 → D6 ⊆ Out C4○D4324-C4oD4.3D6192,989
C4○D4.4D6 = D4.3S4φ: D6/C1 → D6 ⊆ Out C4○D4324C4oD4.4D6192,990
C4○D4.5D6 = Q8.6S4φ: D6/C1 → D6 ⊆ Out C4○D4324C4oD4.5D6192,1483
C4○D4.6D6 = Q8.7S4φ: D6/C1 → D6 ⊆ Out C4○D4324+C4oD4.6D6192,1484
C4○D4.7D6 = D4.5S4φ: D6/C1 → D6 ⊆ Out C4○D4324-C4oD4.7D6192,1486
C4○D4.8D6 = C8.S4φ: D6/C2 → S3 ⊆ Out C4○D4644-C4oD4.8D6192,962
C4○D4.9D6 = CU2(𝔽3)φ: D6/C2 → S3 ⊆ Out C4○D4322C4oD4.9D6192,963
C4○D4.10D6 = C8.5S4φ: D6/C2 → S3 ⊆ Out C4○D4324C4oD4.10D6192,964
C4○D4.11D6 = C8.4S4φ: D6/C2 → S3 ⊆ Out C4○D4324C4oD4.11D6192,965
C4○D4.12D6 = C8.3S4φ: D6/C2 → S3 ⊆ Out C4○D4324+C4oD4.12D6192,966
C4○D4.13D6 = C2×U2(𝔽3)φ: D6/C2 → S3 ⊆ Out C4○D448C4oD4.13D6192,981
C4○D4.14D6 = U2(𝔽3)⋊C2φ: D6/C2 → S3 ⊆ Out C4○D4324C4oD4.14D6192,982
C4○D4.15D6 = C2×C4.S4φ: D6/C2 → S3 ⊆ Out C4○D464C4oD4.15D6192,1479
C4○D4.16D6 = GL2(𝔽3)⋊C22φ: D6/C2 → S3 ⊆ Out C4○D4324C4oD4.16D6192,1482
C4○D4.17D6 = Q8⋊5D12φ: D6/C3 → C22 ⊆ Out C4○D4244+C4oD4.17D6192,381
C4○D4.18D6 = C42⋊5D6φ: D6/C3 → C22 ⊆ Out C4○D4484C4oD4.18D6192,384
C4○D4.19D6 = Q8.14D12φ: D6/C3 → C22 ⊆ Out C4○D4484-C4oD4.19D6192,385
C4○D4.20D6 = D4.10D12φ: D6/C3 → C22 ⊆ Out C4○D4484C4oD4.20D6192,386
C4○D4.21D6 = D12⋊18D4φ: D6/C3 → C22 ⊆ Out C4○D4248+C4oD4.21D6192,757
C4○D4.22D6 = D12.38D4φ: D6/C3 → C22 ⊆ Out C4○D4488-C4oD4.22D6192,760
C4○D4.23D6 = D12.39D4φ: D6/C3 → C22 ⊆ Out C4○D4488+C4oD4.23D6192,761
C4○D4.24D6 = D12.40D4φ: D6/C3 → C22 ⊆ Out C4○D4488-C4oD4.24D6192,764
C4○D4.25D6 = 2+ 1+4⋊6S3φ: D6/C3 → C22 ⊆ Out C4○D4248+C4oD4.25D6192,800
C4○D4.26D6 = 2+ 1+4.4S3φ: D6/C3 → C22 ⊆ Out C4○D4488-C4oD4.26D6192,801
C4○D4.27D6 = 2- 1+4⋊4S3φ: D6/C3 → C22 ⊆ Out C4○D4488+C4oD4.27D6192,804
C4○D4.28D6 = 2- 1+4.2S3φ: D6/C3 → C22 ⊆ Out C4○D4488-C4oD4.28D6192,805
C4○D4.29D6 = D8.10D6φ: D6/C3 → C22 ⊆ Out C4○D4964-C4oD4.29D6192,1330
C4○D4.30D6 = C24.C23φ: D6/C3 → C22 ⊆ Out C4○D4488+C4oD4.30D6192,1337
C4○D4.31D6 = SD16.D6φ: D6/C3 → C22 ⊆ Out C4○D4968-C4oD4.31D6192,1338
C4○D4.32D6 = D12.33C23φ: D6/C3 → C22 ⊆ Out C4○D4488-C4oD4.32D6192,1395
C4○D4.33D6 = D12.35C23φ: D6/C3 → C22 ⊆ Out C4○D4968-C4oD4.33D6192,1397
C4○D4.34D6 = S3×C4≀C2φ: D6/S3 → C2 ⊆ Out C4○D4244C4oD4.34D6192,379
C4○D4.35D6 = C42⋊3D6φ: D6/S3 → C2 ⊆ Out C4○D4484C4oD4.35D6192,380
C4○D4.36D6 = M4(2).22D6φ: D6/S3 → C2 ⊆ Out C4○D4484C4oD4.36D6192,382
C4○D4.37D6 = C42.196D6φ: D6/S3 → C2 ⊆ Out C4○D4484C4oD4.37D6192,383
C4○D4.38D6 = D8⋊5Dic3φ: D6/S3 → C2 ⊆ Out C4○D4484C4oD4.38D6192,755
C4○D4.39D6 = D8⋊4Dic3φ: D6/S3 → C2 ⊆ Out C4○D4484C4oD4.39D6192,756
C4○D4.40D6 = M4(2).D6φ: D6/S3 → C2 ⊆ Out C4○D4488+C4oD4.40D6192,758
C4○D4.41D6 = M4(2).13D6φ: D6/S3 → C2 ⊆ Out C4○D4488-C4oD4.41D6192,759
C4○D4.42D6 = M4(2).15D6φ: D6/S3 → C2 ⊆ Out C4○D4488+C4oD4.42D6192,762
C4○D4.43D6 = M4(2).16D6φ: D6/S3 → C2 ⊆ Out C4○D4968-C4oD4.43D6192,763
C4○D4.44D6 = D8⋊4D6φ: D6/S3 → C2 ⊆ Out C4○D4488-C4oD4.44D6192,1332
C4○D4.45D6 = S3×C8.C22φ: D6/S3 → C2 ⊆ Out C4○D4488-C4oD4.45D6192,1335
C4○D4.46D6 = D24⋊C22φ: D6/S3 → C2 ⊆ Out C4○D4488+C4oD4.46D6192,1336
C4○D4.47D6 = Q8.8D12φ: D6/C6 → C2 ⊆ Out C4○D4484C4oD4.47D6192,700
C4○D4.48D6 = Q8.9D12φ: D6/C6 → C2 ⊆ Out C4○D4484+C4oD4.48D6192,701
C4○D4.49D6 = Q8.10D12φ: D6/C6 → C2 ⊆ Out C4○D4964-C4oD4.49D6192,702
C4○D4.50D6 = C24.100D4φ: D6/C6 → C2 ⊆ Out C4○D4484C4oD4.50D6192,703
C4○D4.51D6 = C24.54D4φ: D6/C6 → C2 ⊆ Out C4○D4484C4oD4.51D6192,704
C4○D4.52D6 = C2×Q8⋊3Dic3φ: D6/C6 → C2 ⊆ Out C4○D448C4oD4.52D6192,794
C4○D4.53D6 = (C6×D4)⋊9C4φ: D6/C6 → C2 ⊆ Out C4○D4484C4oD4.53D6192,795
C4○D4.54D6 = D4.11D12φ: D6/C6 → C2 ⊆ Out C4○D4484C4oD4.54D6192,1310
C4○D4.55D6 = D4.12D12φ: D6/C6 → C2 ⊆ Out C4○D4484+C4oD4.55D6192,1311
C4○D4.56D6 = D4.13D12φ: D6/C6 → C2 ⊆ Out C4○D4964-C4oD4.56D6192,1312
C4○D4.57D6 = C2×Q8.14D6φ: D6/C6 → C2 ⊆ Out C4○D496C4oD4.57D6192,1382
C4○D4.58D6 = S3×C8○D4φ: trivial image484C4oD4.58D6192,1308
C4○D4.59D6 = M4(2)⋊28D6φ: trivial image484C4oD4.59D6192,1309
C4○D4.60D6 = C2×D4.Dic3φ: trivial image96C4oD4.60D6192,1377
C4○D4.61D6 = C12.76C24φ: trivial image484C4oD4.61D6192,1378

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