# Extensions 1→N→G→Q→1 with N=D8 and Q=C2×C14

Direct product G=N×Q with N=D8 and Q=C2×C14
dρLabelID
D8×C2×C14224D8xC2xC14448,1352

Semidirect products G=N:Q with N=D8 and Q=C2×C14
extensionφ:Q→Out NdρLabelID
D81(C2×C14) = C14×D16φ: C2×C14/C14C2 ⊆ Out D8224D8:1(C2xC14)448,913
D82(C2×C14) = C7×C16⋊C22φ: C2×C14/C14C2 ⊆ Out D81124D8:2(C2xC14)448,917
D83(C2×C14) = C14×C8⋊C22φ: C2×C14/C14C2 ⊆ Out D8112D8:3(C2xC14)448,1356
D84(C2×C14) = C7×D8⋊C22φ: C2×C14/C14C2 ⊆ Out D81124D8:4(C2xC14)448,1358
D85(C2×C14) = C7×D4○SD16φ: C2×C14/C14C2 ⊆ Out D81124D8:5(C2xC14)448,1360
D86(C2×C14) = C14×C4○D8φ: trivial image224D8:6(C2xC14)448,1355
D87(C2×C14) = C7×D4○D8φ: trivial image1124D8:7(C2xC14)448,1359

Non-split extensions G=N.Q with N=D8 and Q=C2×C14
extensionφ:Q→Out NdρLabelID
D8.1(C2×C14) = C14×SD32φ: C2×C14/C14C2 ⊆ Out D8224D8.1(C2xC14)448,914
D8.2(C2×C14) = C7×C4○D16φ: C2×C14/C14C2 ⊆ Out D82242D8.2(C2xC14)448,916
D8.3(C2×C14) = C7×Q32⋊C2φ: C2×C14/C14C2 ⊆ Out D82244D8.3(C2xC14)448,918
D8.4(C2×C14) = C7×Q8○D8φ: trivial image2244D8.4(C2xC14)448,1361

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