# Extensions 1→N→G→Q→1 with N=Q16 and Q=C2×C14

Direct product G=N×Q with N=Q16 and Q=C2×C14
dρLabelID
Q16×C2×C14448Q16xC2xC14448,1354

Semidirect products G=N:Q with N=Q16 and Q=C2×C14
extensionφ:Q→Out NdρLabelID
Q161(C2×C14) = C14×SD32φ: C2×C14/C14C2 ⊆ Out Q16224Q16:1(C2xC14)448,914
Q162(C2×C14) = C7×C16⋊C22φ: C2×C14/C14C2 ⊆ Out Q161124Q16:2(C2xC14)448,917
Q163(C2×C14) = C14×C8.C22φ: C2×C14/C14C2 ⊆ Out Q16224Q16:3(C2xC14)448,1357
Q164(C2×C14) = C7×D8⋊C22φ: C2×C14/C14C2 ⊆ Out Q161124Q16:4(C2xC14)448,1358
Q165(C2×C14) = C7×D4○SD16φ: C2×C14/C14C2 ⊆ Out Q161124Q16:5(C2xC14)448,1360
Q166(C2×C14) = C14×C4○D8φ: trivial image224Q16:6(C2xC14)448,1355
Q167(C2×C14) = C7×D4○D8φ: trivial image1124Q16:7(C2xC14)448,1359

Non-split extensions G=N.Q with N=Q16 and Q=C2×C14
extensionφ:Q→Out NdρLabelID
Q16.1(C2×C14) = C14×Q32φ: C2×C14/C14C2 ⊆ Out Q16448Q16.1(C2xC14)448,915
Q16.2(C2×C14) = C7×C4○D16φ: C2×C14/C14C2 ⊆ Out Q162242Q16.2(C2xC14)448,916
Q16.3(C2×C14) = C7×Q32⋊C2φ: C2×C14/C14C2 ⊆ Out Q162244Q16.3(C2xC14)448,918
Q16.4(C2×C14) = C7×Q8○D8φ: trivial image2244Q16.4(C2xC14)448,1361

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