# Extensions 1→N→G→Q→1 with N=C7×C8.C4 and Q=C2

Direct product G=N×Q with N=C7×C8.C4 and Q=C2
dρLabelID
C14×C8.C4224C14xC8.C4448,837

Semidirect products G=N:Q with N=C7×C8.C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C8.C4)⋊1C2 = Dic28.C4φ: C2/C1C2 ⊆ Out C7×C8.C42244(C7xC8.C4):1C2448,54
(C7×C8.C4)⋊2C2 = D7×C8.C4φ: C2/C1C2 ⊆ Out C7×C8.C41124(C7xC8.C4):2C2448,426
(C7×C8.C4)⋊3C2 = M4(2).25D14φ: C2/C1C2 ⊆ Out C7×C8.C41124(C7xC8.C4):3C2448,427
(C7×C8.C4)⋊4C2 = D5610C4φ: C2/C1C2 ⊆ Out C7×C8.C41124(C7xC8.C4):4C2448,428
(C7×C8.C4)⋊5C2 = D567C4φ: C2/C1C2 ⊆ Out C7×C8.C41124(C7xC8.C4):5C2448,429
(C7×C8.C4)⋊6C2 = C8.20D28φ: C2/C1C2 ⊆ Out C7×C8.C42244-(C7xC8.C4):6C2448,430
(C7×C8.C4)⋊7C2 = C8.21D28φ: C2/C1C2 ⊆ Out C7×C8.C41124+(C7xC8.C4):7C2448,431
(C7×C8.C4)⋊8C2 = C8.24D28φ: C2/C1C2 ⊆ Out C7×C8.C41124(C7xC8.C4):8C2448,432
(C7×C8.C4)⋊9C2 = D56.C4φ: C2/C1C2 ⊆ Out C7×C8.C41124+(C7xC8.C4):9C2448,52
(C7×C8.C4)⋊10C2 = C7×D8.C4φ: C2/C1C2 ⊆ Out C7×C8.C42242(C7xC8.C4):10C2448,163
(C7×C8.C4)⋊11C2 = C7×M5(2)⋊C2φ: C2/C1C2 ⊆ Out C7×C8.C41124(C7xC8.C4):11C2448,165
(C7×C8.C4)⋊12C2 = C7×M4(2).C4φ: C2/C1C2 ⊆ Out C7×C8.C41124(C7xC8.C4):12C2448,838
(C7×C8.C4)⋊13C2 = C7×C8.26D4φ: C2/C1C2 ⊆ Out C7×C8.C41124(C7xC8.C4):13C2448,852
(C7×C8.C4)⋊14C2 = C7×D4.3D4φ: C2/C1C2 ⊆ Out C7×C8.C41124(C7xC8.C4):14C2448,879
(C7×C8.C4)⋊15C2 = C7×D4.4D4φ: C2/C1C2 ⊆ Out C7×C8.C41124(C7xC8.C4):15C2448,880
(C7×C8.C4)⋊16C2 = C7×D4.5D4φ: C2/C1C2 ⊆ Out C7×C8.C42244(C7xC8.C4):16C2448,881
(C7×C8.C4)⋊17C2 = C7×C8○D8φ: trivial image1122(C7xC8.C4):17C2448,851

Non-split extensions G=N.Q with N=C7×C8.C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C8.C4).1C2 = C8.7Dic14φ: C2/C1C2 ⊆ Out C7×C8.C42244(C7xC8.C4).1C2448,50
(C7×C8.C4).2C2 = C56.8D4φ: C2/C1C2 ⊆ Out C7×C8.C42244-(C7xC8.C4).2C2448,53
(C7×C8.C4).3C2 = C8.Dic14φ: C2/C1C2 ⊆ Out C7×C8.C41124(C7xC8.C4).3C2448,51
(C7×C8.C4).4C2 = C7×C8.17D4φ: C2/C1C2 ⊆ Out C7×C8.C42244(C7xC8.C4).4C2448,166
(C7×C8.C4).5C2 = C7×C8.Q8φ: C2/C1C2 ⊆ Out C7×C8.C41124(C7xC8.C4).5C2448,169
(C7×C8.C4).6C2 = C7×C8.4Q8φ: C2/C1C2 ⊆ Out C7×C8.C42242(C7xC8.C4).6C2448,172

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