Extensions 1→N→G→Q→1 with N=C4:C8 and Q=C14

Direct product G=NxQ with N=C4:C8 and Q=C14
dρLabelID
C14xC4:C8448C14xC4:C8448,830

Semidirect products G=N:Q with N=C4:C8 and Q=C14
extensionφ:Q→Out NdρLabelID
C4:C8:1C14 = C7xD4:C8φ: C14/C7C2 ⊆ Out C4:C8224C4:C8:1C14448,129
C4:C8:2C14 = C7xC4.D8φ: C14/C7C2 ⊆ Out C4:C8224C4:C8:2C14448,135
C4:C8:3C14 = C7xC4:D8φ: C14/C7C2 ⊆ Out C4:C8224C4:C8:3C14448,867
C4:C8:4C14 = C7xD4:Q8φ: C14/C7C2 ⊆ Out C4:C8224C4:C8:4C14448,882
C4:C8:5C14 = C7xD4.2D4φ: C14/C7C2 ⊆ Out C4:C8224C4:C8:5C14448,871
C4:C8:6C14 = C7xQ8.D4φ: C14/C7C2 ⊆ Out C4:C8224C4:C8:6C14448,872
C4:C8:7C14 = C7xD4.Q8φ: C14/C7C2 ⊆ Out C4:C8224C4:C8:7C14448,886
C4:C8:8C14 = C7xC4:SD16φ: C14/C7C2 ⊆ Out C4:C8224C4:C8:8C14448,868
C4:C8:9C14 = C7xD4.D4φ: C14/C7C2 ⊆ Out C4:C8224C4:C8:9C14448,869
C4:C8:10C14 = C7xD4:2Q8φ: C14/C7C2 ⊆ Out C4:C8224C4:C8:10C14448,884
C4:C8:11C14 = C7xC4:M4(2)φ: C14/C7C2 ⊆ Out C4:C8224C4:C8:11C14448,831
C4:C8:12C14 = C7xC42.6C22φ: C14/C7C2 ⊆ Out C4:C8224C4:C8:12C14448,832
C4:C8:13C14 = C7xC42.6C4φ: C14/C7C2 ⊆ Out C4:C8224C4:C8:13C14448,840
C4:C8:14C14 = C7xC42.7C22φ: C14/C7C2 ⊆ Out C4:C8224C4:C8:14C14448,841
C4:C8:15C14 = C7xC8:9D4φ: C14/C7C2 ⊆ Out C4:C8224C4:C8:15C14448,843
C4:C8:16C14 = C7xC8:6D4φ: C14/C7C2 ⊆ Out C4:C8224C4:C8:16C14448,844
C4:C8:17C14 = C7xC42.12C4φ: trivial image224C4:C8:17C14448,839
C4:C8:18C14 = D4xC56φ: trivial image224C4:C8:18C14448,842

Non-split extensions G=N.Q with N=C4:C8 and Q=C14
extensionφ:Q→Out NdρLabelID
C4:C8.1C14 = C7xQ8:C8φ: C14/C7C2 ⊆ Out C4:C8448C4:C8.1C14448,130
C4:C8.2C14 = C7xC4.10D8φ: C14/C7C2 ⊆ Out C4:C8448C4:C8.2C14448,136
C4:C8.3C14 = C7xC4.6Q16φ: C14/C7C2 ⊆ Out C4:C8448C4:C8.3C14448,137
C4:C8.4C14 = C7xC8:2C8φ: C14/C7C2 ⊆ Out C4:C8448C4:C8.4C14448,138
C4:C8.5C14 = C7xC8:1C8φ: C14/C7C2 ⊆ Out C4:C8448C4:C8.5C14448,139
C4:C8.6C14 = C7xC4:2Q16φ: C14/C7C2 ⊆ Out C4:C8448C4:C8.6C14448,870
C4:C8.7C14 = C7xC4.Q16φ: C14/C7C2 ⊆ Out C4:C8448C4:C8.7C14448,885
C4:C8.8C14 = C7xQ8.Q8φ: C14/C7C2 ⊆ Out C4:C8448C4:C8.8C14448,887
C4:C8.9C14 = C7xQ8:Q8φ: C14/C7C2 ⊆ Out C4:C8448C4:C8.9C14448,883
C4:C8.10C14 = C7xC8:4Q8φ: C14/C7C2 ⊆ Out C4:C8448C4:C8.10C14448,854
C4:C8.11C14 = Q8xC56φ: trivial image448C4:C8.11C14448,853

׿
x
:
Z
F
o
wr
Q
<