# Extensions 1→N→G→Q→1 with N=C4○D4 and Q=C2×C14

Direct product G=N×Q with N=C4○D4 and Q=C2×C14
dρLabelID
C4○D4×C2×C14224C4oD4xC2xC14448,1388

Semidirect products G=N:Q with N=C4○D4 and Q=C2×C14
extensionφ:Q→Out NdρLabelID
C4○D41(C2×C14) = C7×D4○D8φ: C2×C14/C7C22 ⊆ Out C4○D41124C4oD4:1(C2xC14)448,1359
C4○D42(C2×C14) = C7×D4○SD16φ: C2×C14/C7C22 ⊆ Out C4○D41124C4oD4:2(C2xC14)448,1360
C4○D43(C2×C14) = C14×C4○D8φ: C2×C14/C14C2 ⊆ Out C4○D4224C4oD4:3(C2xC14)448,1355
C4○D44(C2×C14) = C14×C8⋊C22φ: C2×C14/C14C2 ⊆ Out C4○D4112C4oD4:4(C2xC14)448,1356
C4○D45(C2×C14) = C7×D8⋊C22φ: C2×C14/C14C2 ⊆ Out C4○D41124C4oD4:5(C2xC14)448,1358
C4○D46(C2×C14) = C14×2+ 1+4φ: C2×C14/C14C2 ⊆ Out C4○D4112C4oD4:6(C2xC14)448,1389
C4○D47(C2×C14) = C14×2- 1+4φ: C2×C14/C14C2 ⊆ Out C4○D4224C4oD4:7(C2xC14)448,1390
C4○D48(C2×C14) = C7×C2.C25φ: C2×C14/C14C2 ⊆ Out C4○D41124C4oD4:8(C2xC14)448,1391

Non-split extensions G=N.Q with N=C4○D4 and Q=C2×C14
extensionφ:Q→Out NdρLabelID
C4○D4.1(C2×C14) = C7×D44D4φ: C2×C14/C7C22 ⊆ Out C4○D4564C4oD4.1(C2xC14)448,861
C4○D4.2(C2×C14) = C7×D4.8D4φ: C2×C14/C7C22 ⊆ Out C4○D41124C4oD4.2(C2xC14)448,862
C4○D4.3(C2×C14) = C7×D4.9D4φ: C2×C14/C7C22 ⊆ Out C4○D41124C4oD4.3(C2xC14)448,863
C4○D4.4(C2×C14) = C7×D4.10D4φ: C2×C14/C7C22 ⊆ Out C4○D41124C4oD4.4(C2xC14)448,864
C4○D4.5(C2×C14) = C7×Q8○D8φ: C2×C14/C7C22 ⊆ Out C4○D42244C4oD4.5(C2xC14)448,1361
C4○D4.6(C2×C14) = C14×C4≀C2φ: C2×C14/C14C2 ⊆ Out C4○D4112C4oD4.6(C2xC14)448,828
C4○D4.7(C2×C14) = C7×C42⋊C22φ: C2×C14/C14C2 ⊆ Out C4○D41124C4oD4.7(C2xC14)448,829
C4○D4.8(C2×C14) = C7×C8○D8φ: C2×C14/C14C2 ⊆ Out C4○D41122C4oD4.8(C2xC14)448,851
C4○D4.9(C2×C14) = C7×C8.26D4φ: C2×C14/C14C2 ⊆ Out C4○D41124C4oD4.9(C2xC14)448,852
C4○D4.10(C2×C14) = C7×D4.3D4φ: C2×C14/C14C2 ⊆ Out C4○D41124C4oD4.10(C2xC14)448,879
C4○D4.11(C2×C14) = C7×D4.4D4φ: C2×C14/C14C2 ⊆ Out C4○D41124C4oD4.11(C2xC14)448,880
C4○D4.12(C2×C14) = C7×D4.5D4φ: C2×C14/C14C2 ⊆ Out C4○D42244C4oD4.12(C2xC14)448,881
C4○D4.13(C2×C14) = C14×C8.C22φ: C2×C14/C14C2 ⊆ Out C4○D4224C4oD4.13(C2xC14)448,1357
C4○D4.14(C2×C14) = C14×C8○D4φ: trivial image224C4oD4.14(C2xC14)448,1350
C4○D4.15(C2×C14) = C7×Q8○M4(2)φ: trivial image1124C4oD4.15(C2xC14)448,1351

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