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

Direct product G=N×Q with N=C7×C22≀C2 and Q=C2
dρLabelID
C14×C22≀C2112C14xC2^2wrC2448,1304

Semidirect products G=N:Q with N=C7×C22≀C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C22≀C2)⋊1C2 = C24⋊D14φ: C2/C1 → C2 ⊆ Out C7×C22≀C2564(C7xC2^2wrC2):1C2448,566
(C7×C22≀C2)⋊2C2 = C24.56D14φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2):2C2448,1039
(C7×C22≀C2)⋊3C2 = D7×C22≀C2φ: C2/C1 → C2 ⊆ Out C7×C22≀C256(C7xC2^2wrC2):3C2448,1041
(C7×C22≀C2)⋊4C2 = C24⋊2D14φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2):4C2448,1042
(C7×C22≀C2)⋊5C2 = C24⋊3D14φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2):5C2448,1043
(C7×C22≀C2)⋊6C2 = C24.33D14φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2):6C2448,1044
(C7×C22≀C2)⋊7C2 = C24.34D14φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2):7C2448,1045
(C7×C22≀C2)⋊8C2 = C24.35D14φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2):8C2448,1046
(C7×C22≀C2)⋊9C2 = C24⋊4D14φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2):9C2448,1047
(C7×C22≀C2)⋊10C2 = C24.36D14φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2):10C2448,1048
(C7×C22≀C2)⋊11C2 = C7×C2≀C22φ: C2/C1 → C2 ⊆ Out C7×C22≀C2564(C7xC2^2wrC2):11C2448,865
(C7×C22≀C2)⋊12C2 = C7×C23⋊3D4φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2):12C2448,1317
(C7×C22≀C2)⋊13C2 = C7×C22.29C24φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2):13C2448,1318
(C7×C22≀C2)⋊14C2 = C7×C22.32C24φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2):14C2448,1321
(C7×C22≀C2)⋊15C2 = C7×D42φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2):15C2448,1328
(C7×C22≀C2)⋊16C2 = C7×D4⋊5D4φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2):16C2448,1329
(C7×C22≀C2)⋊17C2 = C7×C22.54C24φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2):17C2448,1343
(C7×C22≀C2)⋊18C2 = C7×C24⋊C22φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2):18C2448,1344
(C7×C22≀C2)⋊19C2 = C7×C22.19C24φ: trivial image112(C7xC2^2wrC2):19C2448,1308

Non-split extensions G=N.Q with N=C7×C22≀C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C22≀C2).1C2 = C24⋊Dic7φ: C2/C1 → C2 ⊆ Out C7×C22≀C2564(C7xC2^2wrC2).1C2448,93
(C7×C22≀C2).2C2 = C24.32D14φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2).2C2448,1040
(C7×C22≀C2).3C2 = C7×C2≀C4φ: C2/C1 → C2 ⊆ Out C7×C22≀C2564(C7xC2^2wrC2).3C2448,155
(C7×C22≀C2).4C2 = C7×C22.45C24φ: C2/C1 → C2 ⊆ Out C7×C22≀C2112(C7xC2^2wrC2).4C2448,1334

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