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Extensions 1→N→G→Q→1 with N=Q8⋊C4 and Q=C4

Direct product G=N×Q with N=Q8⋊C4 and Q=C4
dρLabelID
C4×Q8⋊C4128C4xQ8:C4128,493

Semidirect products G=N:Q with N=Q8⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
Q8⋊C4⋊1C4 = C2.(C8⋊8D4)φ: C4/C2 → C2 ⊆ Out Q8⋊C4128Q8:C4:1C4128,665
Q8⋊C4⋊2C4 = C42.428D4φ: C4/C2 → C2 ⊆ Out Q8⋊C432Q8:C4:2C4128,669
Q8⋊C4⋊3C4 = Q8⋊(C4⋊C4)φ: C4/C2 → C2 ⊆ Out Q8⋊C4128Q8:C4:3C4128,595
Q8⋊C4⋊4C4 = M4(2).42D4φ: C4/C2 → C2 ⊆ Out Q8⋊C432Q8:C4:4C4128,598
Q8⋊C4⋊5C4 = C2.(C4×Q16)φ: C4/C2 → C2 ⊆ Out Q8⋊C4128Q8:C4:5C4128,660
Q8⋊C4⋊6C4 = Q8⋊C4⋊C4φ: C4/C2 → C2 ⊆ Out Q8⋊C4128Q8:C4:6C4128,597
Q8⋊C4⋊7C4 = C4.68(C4×D4)φ: C4/C2 → C2 ⊆ Out Q8⋊C4128Q8:C4:7C4128,659
Q8⋊C4⋊8C4 = M4(2).24D4φ: C4/C2 → C2 ⊆ Out Q8⋊C432Q8:C4:8C4128,661
Q8⋊C4⋊9C4 = Q8⋊C42φ: C4/C2 → C2 ⊆ Out Q8⋊C4128Q8:C4:9C4128,495
Q8⋊C4⋊10C4 = D4.3C42φ: C4/C2 → C2 ⊆ Out Q8⋊C432Q8:C4:10C4128,497
Q8⋊C4⋊11C4 = C2.(C8⋊D4)φ: C4/C2 → C2 ⊆ Out Q8⋊C4128Q8:C4:11C4128,667
Q8⋊C4⋊12C4 = C42.107D4φ: C4/C2 → C2 ⊆ Out Q8⋊C432Q8:C4:12C4128,670
Q8⋊C4⋊13C4 = Q8.C42φ: trivial image32Q8:C4:13C4128,496

Non-split extensions G=N.Q with N=Q8⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
Q8⋊C4.1C4 = C8⋊9SD16φ: C4/C2 → C2 ⊆ Out Q8⋊C464Q8:C4.1C4128,322
Q8⋊C4.2C4 = C8⋊6Q16φ: C4/C2 → C2 ⊆ Out Q8⋊C4128Q8:C4.2C4128,323
Q8⋊C4.3C4 = C8⋊9Q16φ: C4/C2 → C2 ⊆ Out Q8⋊C4128Q8:C4.3C4128,316
Q8⋊C4.4C4 = D4.M4(2)φ: C4/C2 → C2 ⊆ Out Q8⋊C464Q8:C4.4C4128,317
Q8⋊C4.5C4 = Q8⋊2M4(2)φ: C4/C2 → C2 ⊆ Out Q8⋊C464Q8:C4.5C4128,320
Q8⋊C4.6C4 = C8⋊12SD16φ: C4/C2 → C2 ⊆ Out Q8⋊C464Q8:C4.6C4128,314
Q8⋊C4.7C4 = C8⋊15SD16φ: C4/C2 → C2 ⊆ Out Q8⋊C464Q8:C4.7C4128,315
Q8⋊C4.8C4 = Q8.M4(2)φ: C4/C2 → C2 ⊆ Out Q8⋊C4128Q8:C4.8C4128,319
Q8⋊C4.9C4 = SD16⋊C8φ: C4/C2 → C2 ⊆ Out Q8⋊C464Q8:C4.9C4128,310
Q8⋊C4.10C4 = Q16⋊5C8φ: C4/C2 → C2 ⊆ Out Q8⋊C4128Q8:C4.10C4128,311
Q8⋊C4.11C4 = C8⋊M4(2)φ: C4/C2 → C2 ⊆ Out Q8⋊C464Q8:C4.11C4128,324
Q8⋊C4.12C4 = C8.M4(2)φ: C4/C2 → C2 ⊆ Out Q8⋊C4128Q8:C4.12C4128,325
Q8⋊C4.13C4 = C8×SD16φ: trivial image64Q8:C4.13C4128,308
Q8⋊C4.14C4 = C8×Q16φ: trivial image128Q8:C4.14C4128,309

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