Extensions 1→N→G→Q→1 with N=D4:C4 and Q=C14

Direct product G=NxQ with N=D4:C4 and Q=C14
dρLabelID
C14xD4:C4224C14xD4:C4448,822

Semidirect products G=N:Q with N=D4:C4 and Q=C14
extensionφ:Q→Out NdρLabelID
D4:C4:1C14 = C7xC8:8D4φ: C14/C7C2 ⊆ Out D4:C4224D4:C4:1C14448,873
D4:C4:2C14 = C7xC8:7D4φ: C14/C7C2 ⊆ Out D4:C4224D4:C4:2C14448,874
D4:C4:3C14 = C7xC4.4D8φ: C14/C7C2 ⊆ Out D4:C4224D4:C4:3C14448,894
D4:C4:4C14 = C7xC22:D8φ: C14/C7C2 ⊆ Out D4:C4112D4:C4:4C14448,855
D4:C4:5C14 = C7xD4.7D4φ: C14/C7C2 ⊆ Out D4:C4224D4:C4:5C14448,860
D4:C4:6C14 = C7xC4:D8φ: C14/C7C2 ⊆ Out D4:C4224D4:C4:6C14448,867
D4:C4:7C14 = C7xC22.D8φ: C14/C7C2 ⊆ Out D4:C4224D4:C4:7C14448,888
D4:C4:8C14 = C7xD4:D4φ: C14/C7C2 ⊆ Out D4:C4224D4:C4:8C14448,857
D4:C4:9C14 = C7xC22:SD16φ: C14/C7C2 ⊆ Out D4:C4112D4:C4:9C14448,858
D4:C4:10C14 = C7xC4:SD16φ: C14/C7C2 ⊆ Out D4:C4224D4:C4:10C14448,868
D4:C4:11C14 = C7xD4.2D4φ: C14/C7C2 ⊆ Out D4:C4224D4:C4:11C14448,871
D4:C4:12C14 = C7xC23.46D4φ: C14/C7C2 ⊆ Out D4:C4224D4:C4:12C14448,889
D4:C4:13C14 = C7xC23.19D4φ: C14/C7C2 ⊆ Out D4:C4224D4:C4:13C14448,890
D4:C4:14C14 = C7xC23.36D4φ: C14/C7C2 ⊆ Out D4:C4224D4:C4:14C14448,825
D4:C4:15C14 = C7xC23.37D4φ: C14/C7C2 ⊆ Out D4:C4112D4:C4:15C14448,826
D4:C4:16C14 = C7xD8:C4φ: C14/C7C2 ⊆ Out D4:C4224D4:C4:16C14448,850
D4:C4:17C14 = C7xC8:D4φ: C14/C7C2 ⊆ Out D4:C4224D4:C4:17C14448,876
D4:C4:18C14 = C7xC8:2D4φ: C14/C7C2 ⊆ Out D4:C4224D4:C4:18C14448,877
D4:C4:19C14 = C7xC42.29C22φ: C14/C7C2 ⊆ Out D4:C4224D4:C4:19C14448,898
D4:C4:20C14 = C7xC23.24D4φ: trivial image224D4:C4:20C14448,824
D4:C4:21C14 = D8xC28φ: trivial image224D4:C4:21C14448,845

Non-split extensions G=N.Q with N=D4:C4 and Q=C14
extensionφ:Q→Out NdρLabelID
D4:C4.1C14 = C7xC42.78C22φ: C14/C7C2 ⊆ Out D4:C4224D4:C4.1C14448,896
D4:C4.2C14 = C7xQ8.D4φ: C14/C7C2 ⊆ Out D4:C4224D4:C4.2C14448,872
D4:C4.3C14 = C7xD4:Q8φ: C14/C7C2 ⊆ Out D4:C4224D4:C4.3C14448,882
D4:C4.4C14 = C7xD4.Q8φ: C14/C7C2 ⊆ Out D4:C4224D4:C4.4C14448,886
D4:C4.5C14 = C7xD4:2Q8φ: C14/C7C2 ⊆ Out D4:C4224D4:C4.5C14448,884
D4:C4.6C14 = C7xSD16:C4φ: C14/C7C2 ⊆ Out D4:C4224D4:C4.6C14448,848
D4:C4.7C14 = C7xC42.28C22φ: C14/C7C2 ⊆ Out D4:C4224D4:C4.7C14448,897
D4:C4.8C14 = SD16xC28φ: trivial image224D4:C4.8C14448,846

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