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

Direct product G=N×Q with N=C8⋊C4 and Q=C14
dρLabelID
C14×C8⋊C4448C14xC8:C4448,811

Semidirect products G=N:Q with N=C8⋊C4 and Q=C14
extensionφ:Q→Out NdρLabelID
C8⋊C41C14 = C7×SD16⋊C4φ: C14/C7C2 ⊆ Out C8⋊C4224C8:C4:1C14448,848
C8⋊C42C14 = C7×D8⋊C4φ: C14/C7C2 ⊆ Out C8⋊C4224C8:C4:2C14448,850
C8⋊C43C14 = C7×C8.26D4φ: C14/C7C2 ⊆ Out C8⋊C41124C8:C4:3C14448,852
C8⋊C44C14 = C7×C83D4φ: C14/C7C2 ⊆ Out C8⋊C4224C8:C4:4C14448,904
C8⋊C45C14 = C7×C8.2D4φ: C14/C7C2 ⊆ Out C8⋊C4224C8:C4:5C14448,905
C8⋊C46C14 = C7×C42.C22φ: C14/C7C2 ⊆ Out C8⋊C4224C8:C4:6C14448,133
C8⋊C47C14 = C7×C42.6C4φ: C14/C7C2 ⊆ Out C8⋊C4224C8:C4:7C14448,840
C8⋊C48C14 = C7×C42.7C22φ: C14/C7C2 ⊆ Out C8⋊C4224C8:C4:8C14448,841
C8⋊C49C14 = C7×C89D4φ: C14/C7C2 ⊆ Out C8⋊C4224C8:C4:9C14448,843
C8⋊C410C14 = C7×C42.28C22φ: C14/C7C2 ⊆ Out C8⋊C4224C8:C4:10C14448,897
C8⋊C411C14 = C7×C42.29C22φ: C14/C7C2 ⊆ Out C8⋊C4224C8:C4:11C14448,898
C8⋊C412C14 = M4(2)×C28φ: trivial image224C8:C4:12C14448,812
C8⋊C413C14 = C7×C82M4(2)φ: trivial image224C8:C4:13C14448,813

Non-split extensions G=N.Q with N=C8⋊C4 and Q=C14
extensionφ:Q→Out NdρLabelID
C8⋊C4.1C14 = C7×Q16⋊C4φ: C14/C7C2 ⊆ Out C8⋊C4448C8:C4.1C14448,849
C8⋊C4.2C14 = C7×C8⋊Q8φ: C14/C7C2 ⊆ Out C8⋊C4448C8:C4.2C14448,909
C8⋊C4.3C14 = C7×C42.2C22φ: C14/C7C2 ⊆ Out C8⋊C4448C8:C4.3C14448,134
C8⋊C4.4C14 = C7×C16⋊C4φ: C14/C7C2 ⊆ Out C8⋊C41124C8:C4.4C14448,151
C8⋊C4.5C14 = C7×C84Q8φ: C14/C7C2 ⊆ Out C8⋊C4448C8:C4.5C14448,854
C8⋊C4.6C14 = C7×C42.30C22φ: C14/C7C2 ⊆ Out C8⋊C4448C8:C4.6C14448,899

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