# Extensions 1→N→G→Q→1 with N=C4○D8 and Q=C14

Direct product G=N×Q with N=C4○D8 and Q=C14
dρLabelID
C14×C4○D8224C14xC4oD8448,1355

Semidirect products G=N:Q with N=C4○D8 and Q=C14
extensionφ:Q→Out NdρLabelID
C4○D81C14 = C7×C4○D16φ: C14/C7C2 ⊆ Out C4○D82242C4oD8:1C14448,916
C4○D82C14 = C7×C16⋊C22φ: C14/C7C2 ⊆ Out C4○D81124C4oD8:2C14448,917
C4○D83C14 = C7×D8⋊C22φ: C14/C7C2 ⊆ Out C4○D81124C4oD8:3C14448,1358
C4○D84C14 = C7×D4○D8φ: C14/C7C2 ⊆ Out C4○D81124C4oD8:4C14448,1359
C4○D85C14 = C7×D4○SD16φ: C14/C7C2 ⊆ Out C4○D81124C4oD8:5C14448,1360
C4○D86C14 = C7×Q8○D8φ: C14/C7C2 ⊆ Out C4○D82244C4oD8:6C14448,1361

Non-split extensions G=N.Q with N=C4○D8 and Q=C14
extensionφ:Q→Out NdρLabelID
C4○D8.1C14 = C7×D8.C4φ: C14/C7C2 ⊆ Out C4○D82242C4oD8.1C14448,163
C4○D8.2C14 = C7×D82C4φ: C14/C7C2 ⊆ Out C4○D81124C4oD8.2C14448,164
C4○D8.3C14 = C7×C8.26D4φ: C14/C7C2 ⊆ Out C4○D81124C4oD8.3C14448,852
C4○D8.4C14 = C7×Q32⋊C2φ: C14/C7C2 ⊆ Out C4○D82244C4oD8.4C14448,918
C4○D8.5C14 = C7×C8○D8φ: trivial image1122C4oD8.5C14448,851

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