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Extensions 1→N→G→Q→1 with N=C2×C22⋊C4 and Q=D7

Direct product G=N×Q with N=C2×C22⋊C4 and Q=D7
dρLabelID
C2×D7×C22⋊C4112C2xD7xC2^2:C4448,937

Semidirect products G=N:Q with N=C2×C22⋊C4 and Q=D7
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C4)⋊1D7 = C2×C23.1D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4):1D7448,488
(C2×C22⋊C4)⋊2D7 = C23.44D28φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4):2D7448,489
(C2×C22⋊C4)⋊3D7 = C24.12D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):3D7448,490
(C2×C22⋊C4)⋊4D7 = C24.13D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):4D7448,491
(C2×C22⋊C4)⋊5D7 = C23.45D28φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):5D7448,492
(C2×C22⋊C4)⋊6D7 = C24.14D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):6D7448,493
(C2×C22⋊C4)⋊7D7 = C24.24D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4):7D7448,939
(C2×C22⋊C4)⋊8D7 = C23⋊2D28φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):8D7448,494
(C2×C22⋊C4)⋊9D7 = C23.16D28φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):9D7448,495
(C2×C22⋊C4)⋊10D7 = C2×C22⋊D28φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4):10D7448,940
(C2×C22⋊C4)⋊11D7 = C2×D14.D4φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):11D7448,941
(C2×C22⋊C4)⋊12D7 = C2×D14⋊D4φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):12D7448,942
(C2×C22⋊C4)⋊13D7 = C24.27D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4):13D7448,943
(C2×C22⋊C4)⋊14D7 = C2×Dic7.D4φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):14D7448,944
(C2×C22⋊C4)⋊15D7 = C2×C22.D28φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):15D7448,945
(C2×C22⋊C4)⋊16D7 = C23⋊3D28φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4):16D7448,946
(C2×C22⋊C4)⋊17D7 = C24.30D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4):17D7448,947
(C2×C22⋊C4)⋊18D7 = C24.31D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4):18D7448,948
(C2×C22⋊C4)⋊19D7 = C2×Dic7⋊4D4φ: trivial image224(C2xC2^2:C4):19D7448,938

Non-split extensions G=N.Q with N=C2×C22⋊C4 and Q=D7
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C4).1D7 = C24.Dic7φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4).1D7448,82
(C2×C22⋊C4).2D7 = C24.D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4).2D7448,83
(C2×C22⋊C4).3D7 = C24.2D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4).3D7448,84
(C2×C22⋊C4).4D7 = C24.44D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).4D7448,476
(C2×C22⋊C4).5D7 = C23.42D28φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).5D7448,477
(C2×C22⋊C4).6D7 = C24.3D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).6D7448,478
(C2×C22⋊C4).7D7 = C24.4D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).7D7448,479
(C2×C22⋊C4).8D7 = C24.46D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).8D7448,480
(C2×C22⋊C4).9D7 = C24.9D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).9D7448,486
(C2×C22⋊C4).10D7 = C23⋊Dic14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).10D7448,481
(C2×C22⋊C4).11D7 = C24.6D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).11D7448,482
(C2×C22⋊C4).12D7 = C24.7D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).12D7448,483
(C2×C22⋊C4).13D7 = C24.47D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).13D7448,484
(C2×C22⋊C4).14D7 = C24.8D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).14D7448,485
(C2×C22⋊C4).15D7 = C24.10D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).15D7448,487
(C2×C22⋊C4).16D7 = C2×C22⋊Dic14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).16D7448,934
(C2×C22⋊C4).17D7 = C2×C23.D14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).17D7448,935
(C2×C22⋊C4).18D7 = C23⋊2Dic14φ: D7/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4).18D7448,936
(C2×C22⋊C4).19D7 = C22⋊C4×Dic7φ: trivial image224(C2xC2^2:C4).19D7448,475
(C2×C22⋊C4).20D7 = C2×C23.11D14φ: trivial image224(C2xC2^2:C4).20D7448,933

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