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Extensions 1→N→G→Q→1 with N=C7×C8.C22 and Q=C2

Direct product G=N×Q with N=C7×C8.C22 and Q=C2
dρLabelID
C14×C8.C22224C14xC8.C2^2448,1357

Semidirect products G=N:Q with N=C7×C8.C22 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C8.C22)⋊1C2 = D7×C8.C22φ: C2/C1 → C2 ⊆ Out C7×C8.C221128-(C7xC8.C2^2):1C2448,1229
(C7×C8.C22)⋊2C2 = D56⋊C22φ: C2/C1 → C2 ⊆ Out C7×C8.C221128+(C7xC8.C2^2):2C2448,1230
(C7×C8.C22)⋊3C2 = C56.C23φ: C2/C1 → C2 ⊆ Out C7×C8.C221128+(C7xC8.C2^2):3C2448,1231
(C7×C8.C22)⋊4C2 = D28.44D4φ: C2/C1 → C2 ⊆ Out C7×C8.C222248-(C7xC8.C2^2):4C2448,1232
(C7×C8.C22)⋊5C2 = D28.39D4φ: C2/C1 → C2 ⊆ Out C7×C8.C221128+(C7xC8.C2^2):5C2448,736
(C7×C8.C22)⋊6C2 = M4(2).15D14φ: C2/C1 → C2 ⊆ Out C7×C8.C221128+(C7xC8.C2^2):6C2448,737
(C7×C8.C22)⋊7C2 = D28.40D4φ: C2/C1 → C2 ⊆ Out C7×C8.C221128-(C7xC8.C2^2):7C2448,739
(C7×C8.C22)⋊8C2 = C7×D4.9D4φ: C2/C1 → C2 ⊆ Out C7×C8.C221124(C7xC8.C2^2):8C2448,863
(C7×C8.C22)⋊9C2 = C7×D4.10D4φ: C2/C1 → C2 ⊆ Out C7×C8.C221124(C7xC8.C2^2):9C2448,864
(C7×C8.C22)⋊10C2 = C7×D4.3D4φ: C2/C1 → C2 ⊆ Out C7×C8.C221124(C7xC8.C2^2):10C2448,879
(C7×C8.C22)⋊11C2 = C7×D4○SD16φ: C2/C1 → C2 ⊆ Out C7×C8.C221124(C7xC8.C2^2):11C2448,1360
(C7×C8.C22)⋊12C2 = C7×Q8○D8φ: C2/C1 → C2 ⊆ Out C7×C8.C222244(C7xC8.C2^2):12C2448,1361
(C7×C8.C22)⋊13C2 = C7×D8⋊C22φ: trivial image1124(C7xC8.C2^2):13C2448,1358

Non-split extensions G=N.Q with N=C7×C8.C22 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C8.C22).1C2 = M4(2).16D14φ: C2/C1 → C2 ⊆ Out C7×C8.C222248-(C7xC8.C2^2).1C2448,738
(C7×C8.C22).2C2 = C7×D4.5D4φ: C2/C1 → C2 ⊆ Out C7×C8.C222244(C7xC8.C2^2).2C2448,881

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