# 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.C4224C14xC8.C4448,837

Semidirect products G=N:Q with N=C8.C4 and Q=C14
extensionφ:Q→Out NdρLabelID
C8.C41C14 = C7×D8.C4φ: C14/C7C2 ⊆ Out C8.C42242C8.C4:1C14448,163
C8.C42C14 = C7×M5(2)⋊C2φ: C14/C7C2 ⊆ Out C8.C41124C8.C4:2C14448,165
C8.C43C14 = C7×M4(2).C4φ: C14/C7C2 ⊆ Out C8.C41124C8.C4:3C14448,838
C8.C44C14 = C7×C8.26D4φ: C14/C7C2 ⊆ Out C8.C41124C8.C4:4C14448,852
C8.C45C14 = C7×D4.3D4φ: C14/C7C2 ⊆ Out C8.C41124C8.C4:5C14448,879
C8.C46C14 = C7×D4.4D4φ: C14/C7C2 ⊆ Out C8.C41124C8.C4:6C14448,880
C8.C47C14 = C7×D4.5D4φ: C14/C7C2 ⊆ Out C8.C42244C8.C4:7C14448,881
C8.C48C14 = C7×C8○D8φ: trivial image1122C8.C4:8C14448,851

Non-split extensions G=N.Q with N=C8.C4 and Q=C14
extensionφ:Q→Out NdρLabelID
C8.C4.1C14 = C7×C8.17D4φ: C14/C7C2 ⊆ Out C8.C42244C8.C4.1C14448,166
C8.C4.2C14 = C7×C8.Q8φ: C14/C7C2 ⊆ Out C8.C41124C8.C4.2C14448,169
C8.C4.3C14 = C7×C8.4Q8φ: C14/C7C2 ⊆ Out C8.C42242C8.C4.3C14448,172

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