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

Direct product G=N×Q with N=C4⋊1D4 and Q=C6
dρLabelID
C6×C4⋊1D496C6xC4:1D4192,1419

Semidirect products G=N:Q with N=C4⋊1D4 and Q=C6
extensionφ:Q→Out NdρLabelID
C4⋊1D4⋊C6 = C24.6A4φ: C6/C1 → C6 ⊆ Out C4⋊1D41612+C4:1D4:C6192,1008
C4⋊1D4⋊2C6 = C2×C23.A4φ: C6/C2 → C3 ⊆ Out C4⋊1D4126+C4:1D4:2C6192,1002
C4⋊1D4⋊3C6 = C3×D4⋊4D4φ: C6/C3 → C2 ⊆ Out C4⋊1D4244C4:1D4:3C6192,886
C4⋊1D4⋊4C6 = C3×C4⋊D8φ: C6/C3 → C2 ⊆ Out C4⋊1D496C4:1D4:4C6192,892
C4⋊1D4⋊5C6 = C3×C8⋊4D4φ: C6/C3 → C2 ⊆ Out C4⋊1D496C4:1D4:5C6192,926
C4⋊1D4⋊6C6 = C3×C8⋊3D4φ: C6/C3 → C2 ⊆ Out C4⋊1D496C4:1D4:6C6192,929
C4⋊1D4⋊7C6 = C3×C22.29C24φ: C6/C3 → C2 ⊆ Out C4⋊1D448C4:1D4:7C6192,1424
C4⋊1D4⋊8C6 = C3×C22.34C24φ: C6/C3 → C2 ⊆ Out C4⋊1D496C4:1D4:8C6192,1429
C4⋊1D4⋊9C6 = C3×D42φ: C6/C3 → C2 ⊆ Out C4⋊1D448C4:1D4:9C6192,1434
C4⋊1D4⋊10C6 = C3×Q8⋊6D4φ: C6/C3 → C2 ⊆ Out C4⋊1D496C4:1D4:10C6192,1439
C4⋊1D4⋊11C6 = C3×C22.54C24φ: C6/C3 → C2 ⊆ Out C4⋊1D448C4:1D4:11C6192,1449
C4⋊1D4⋊12C6 = C3×C22.26C24φ: trivial image96C4:1D4:12C6192,1421

Non-split extensions G=N.Q with N=C4⋊1D4 and Q=C6
extensionφ:Q→Out NdρLabelID
C4⋊1D4.1C6 = C3×C4.D8φ: C6/C3 → C2 ⊆ Out C4⋊1D496C4:1D4.1C6192,137
C4⋊1D4.2C6 = C3×C42⋊C4φ: C6/C3 → C2 ⊆ Out C4⋊1D4244C4:1D4.2C6192,159
C4⋊1D4.3C6 = C3×C4⋊SD16φ: C6/C3 → C2 ⊆ Out C4⋊1D496C4:1D4.3C6192,893
C4⋊1D4.4C6 = C3×C4.4D8φ: C6/C3 → C2 ⊆ Out C4⋊1D496C4:1D4.4C6192,919
C4⋊1D4.5C6 = C3×C42.29C22φ: C6/C3 → C2 ⊆ Out C4⋊1D496C4:1D4.5C6192,923
C4⋊1D4.6C6 = C3×C8⋊5D4φ: C6/C3 → C2 ⊆ Out C4⋊1D496C4:1D4.6C6192,925
C4⋊1D4.7C6 = C3×C22.53C24φ: C6/C3 → C2 ⊆ Out C4⋊1D496C4:1D4.7C6192,1448

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