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Extensions 1→N→G→Q→1 with N=C4⋊D4 and Q=C6

Direct product G=N×Q with N=C4⋊D4 and Q=C6
dρLabelID
C6×C4⋊D496C6xC4:D4192,1411

Semidirect products G=N:Q with N=C4⋊D4 and Q=C6
extensionφ:Q→Out NdρLabelID
C4⋊D4⋊1C6 = C3×C22⋊D8φ: C6/C3 → C2 ⊆ Out C4⋊D448C4:D4:1C6192,880
C4⋊D4⋊2C6 = C3×D4⋊D4φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4:2C6192,882
C4⋊D4⋊3C6 = C3×C8⋊7D4φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4:3C6192,899
C4⋊D4⋊4C6 = C3×C8⋊2D4φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4:4C6192,902
C4⋊D4⋊5C6 = C3×C23⋊3D4φ: C6/C3 → C2 ⊆ Out C4⋊D448C4:D4:5C6192,1423
C4⋊D4⋊6C6 = C3×C22.29C24φ: C6/C3 → C2 ⊆ Out C4⋊D448C4:D4:6C6192,1424
C4⋊D4⋊7C6 = C3×C22.31C24φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4:7C6192,1426
C4⋊D4⋊8C6 = C3×C22.32C24φ: C6/C3 → C2 ⊆ Out C4⋊D448C4:D4:8C6192,1427
C4⋊D4⋊9C6 = C3×C22.34C24φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4:9C6192,1429
C4⋊D4⋊10C6 = C3×D42φ: C6/C3 → C2 ⊆ Out C4⋊D448C4:D4:10C6192,1434
C4⋊D4⋊11C6 = C3×D4⋊5D4φ: C6/C3 → C2 ⊆ Out C4⋊D448C4:D4:11C6192,1435
C4⋊D4⋊12C6 = C3×D4⋊6D4φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4:12C6192,1436
C4⋊D4⋊13C6 = C3×Q8⋊5D4φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4:13C6192,1437
C4⋊D4⋊14C6 = C3×Q8⋊6D4φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4:14C6192,1439
C4⋊D4⋊15C6 = C3×C22.47C24φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4:15C6192,1442
C4⋊D4⋊16C6 = C3×C22.49C24φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4:16C6192,1444
C4⋊D4⋊17C6 = C3×C22.54C24φ: C6/C3 → C2 ⊆ Out C4⋊D448C4:D4:17C6192,1449
C4⋊D4⋊18C6 = C3×C22.56C24φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4:18C6192,1451
C4⋊D4⋊19C6 = C3×C22.19C24φ: trivial image48C4:D4:19C6192,1414
C4⋊D4⋊20C6 = C3×C22.26C24φ: trivial image96C4:D4:20C6192,1421

Non-split extensions G=N.Q with N=C4⋊D4 and Q=C6
extensionφ:Q→Out NdρLabelID
C4⋊D4.1C6 = C3×C22.SD16φ: C6/C3 → C2 ⊆ Out C4⋊D448C4:D4.1C6192,133
C4⋊D4.2C6 = C3×Q8⋊D4φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4.2C6192,881
C4⋊D4.3C6 = C3×C8⋊8D4φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4.3C6192,898
C4⋊D4.4C6 = C3×C8⋊D4φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4.4C6192,901
C4⋊D4.5C6 = C3×C22.D8φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4.5C6192,913
C4⋊D4.6C6 = C3×C23.46D4φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4.6C6192,914
C4⋊D4.7C6 = C3×C23.19D4φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4.7C6192,915
C4⋊D4.8C6 = C3×C22.33C24φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4.8C6192,1428
C4⋊D4.9C6 = C3×C22.36C24φ: C6/C3 → C2 ⊆ Out C4⋊D496C4:D4.9C6192,1431
C4⋊D4.10C6 = C3×C23.36C23φ: trivial image96C4:D4.10C6192,1418

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