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Extensions 1→N→G→Q→1 with N=D4:C4 and Q=C4

Direct product G=NxQ with N=D4:C4 and Q=C4
dρLabelID
C4xD4:C464C4xD4:C4128,492

Semidirect products G=N:Q with N=D4:C4 and Q=C4
extensionφ:Q→Out NdρLabelID
D4:C4:1C4 = C2.(C8:7D4)φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4:1C4128,666
D4:C4:2C4 = C42.428D4φ: C4/C2 → C2 ⊆ Out D4:C432D4:C4:2C4128,669
D4:C4:3C4 = C2.(C4xD8)φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4:3C4128,594
D4:C4:4C4 = D4:C4:C4φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4:4C4128,657
D4:C4:5C4 = D4:(C4:C4)φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4:5C4128,596
D4:C4:6C4 = M4(2).42D4φ: C4/C2 → C2 ⊆ Out D4:C432D4:C4:6C4128,598
D4:C4:7C4 = C4.67(C4xD4)φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4:7C4128,658
D4:C4:8C4 = M4(2).24D4φ: C4/C2 → C2 ⊆ Out D4:C432D4:C4:8C4128,661
D4:C4:9C4 = D4:C42φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4:9C4128,494
D4:C4:10C4 = D4.3C42φ: C4/C2 → C2 ⊆ Out D4:C432D4:C4:10C4128,497
D4:C4:11C4 = C2.(C8:2D4)φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4:11C4128,668
D4:C4:12C4 = C42.107D4φ: C4/C2 → C2 ⊆ Out D4:C432D4:C4:12C4128,670
D4:C4:13C4 = Q8.C42φ: trivial image32D4:C4:13C4128,496

Non-split extensions G=N.Q with N=D4:C4 and Q=C4
extensionφ:Q→Out NdρLabelID
D4:C4.1C4 = C8:6D8φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4.1C4128,321
D4:C4.2C4 = C8:9SD16φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4.2C4128,322
D4:C4.3C4 = C8:9D8φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4.3C4128,313
D4:C4.4C4 = D4.M4(2)φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4.4C4128,317
D4:C4.5C4 = Q8:2M4(2)φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4.5C4128,320
D4:C4.6C4 = C8:12SD16φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4.6C4128,314
D4:C4.7C4 = C8:15SD16φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4.7C4128,315
D4:C4.8C4 = D4:2M4(2)φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4.8C4128,318
D4:C4.9C4 = SD16:C8φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4.9C4128,310
D4:C4.10C4 = D8:5C8φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4.10C4128,312
D4:C4.11C4 = C8:M4(2)φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4.11C4128,324
D4:C4.12C4 = C8:3M4(2)φ: C4/C2 → C2 ⊆ Out D4:C464D4:C4.12C4128,326
D4:C4.13C4 = C8xD8φ: trivial image64D4:C4.13C4128,307
D4:C4.14C4 = C8xSD16φ: trivial image64D4:C4.14C4128,308

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