# Extensions 1→N→G→Q→1 with N=Q8 and Q=C22×C14

Direct product G=N×Q with N=Q8 and Q=C22×C14
dρLabelID
Q8×C22×C14448Q8xC2^2xC14448,1387

Semidirect products G=N:Q with N=Q8 and Q=C22×C14
extensionφ:Q→Out NdρLabelID
Q81(C22×C14) = SD16×C2×C14φ: C22×C14/C2×C14C2 ⊆ Out Q8224Q8:1(C2^2xC14)448,1353
Q82(C22×C14) = C14×C8⋊C22φ: C22×C14/C2×C14C2 ⊆ Out Q8112Q8:2(C2^2xC14)448,1356
Q83(C22×C14) = C4○D4×C2×C14φ: trivial image224Q8:3(C2^2xC14)448,1388
Q84(C22×C14) = C14×2+ 1+4φ: trivial image112Q8:4(C2^2xC14)448,1389

Non-split extensions G=N.Q with N=Q8 and Q=C22×C14
extensionφ:Q→Out NdρLabelID
Q8.1(C22×C14) = Q16×C2×C14φ: C22×C14/C2×C14C2 ⊆ Out Q8448Q8.1(C2^2xC14)448,1354
Q8.2(C22×C14) = C14×C4○D8φ: C22×C14/C2×C14C2 ⊆ Out Q8224Q8.2(C2^2xC14)448,1355
Q8.3(C22×C14) = C14×C8.C22φ: C22×C14/C2×C14C2 ⊆ Out Q8224Q8.3(C2^2xC14)448,1357
Q8.4(C22×C14) = C7×D8⋊C22φ: C22×C14/C2×C14C2 ⊆ Out Q81124Q8.4(C2^2xC14)448,1358
Q8.5(C22×C14) = C7×D4○D8φ: C22×C14/C2×C14C2 ⊆ Out Q81124Q8.5(C2^2xC14)448,1359
Q8.6(C22×C14) = C7×D4○SD16φ: C22×C14/C2×C14C2 ⊆ Out Q81124Q8.6(C2^2xC14)448,1360
Q8.7(C22×C14) = C7×Q8○D8φ: C22×C14/C2×C14C2 ⊆ Out Q82244Q8.7(C2^2xC14)448,1361
Q8.8(C22×C14) = C14×2- 1+4φ: trivial image224Q8.8(C2^2xC14)448,1390
Q8.9(C22×C14) = C7×C2.C25φ: trivial image1124Q8.9(C2^2xC14)448,1391

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