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

Direct product G=N×Q with N=C2×C4⋊C4 and Q=D7
dρLabelID
C2×D7×C4⋊C4224C2xD7xC4:C4448,954

Semidirect products G=N:Q with N=C2×C4⋊C4 and Q=D7
extensionφ:Q→Out NdρLabelID
(C2×C4⋊C4)⋊1D7 = C2×C14.D8φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):1D7448,499
(C2×C4⋊C4)⋊2D7 = C4○D28⋊C4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):2D7448,500
(C2×C4⋊C4)⋊3D7 = (C2×C14).40D8φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):3D7448,501
(C2×C4⋊C4)⋊4D7 = C4⋊C4.228D14φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):4D7448,502
(C2×C4⋊C4)⋊5D7 = C4⋊(D14⋊C4)φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):5D7448,521
(C2×C4⋊C4)⋊6D7 = (C2×D28)⋊10C4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):6D7448,522
(C2×C4⋊C4)⋊7D7 = D14⋊C4⋊6C4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):7D7448,523
(C2×C4⋊C4)⋊8D7 = D14⋊C4⋊7C4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):8D7448,524
(C2×C4⋊C4)⋊9D7 = (C2×C4)⋊3D28φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):9D7448,525
(C2×C4⋊C4)⋊10D7 = (C2×C28).289D4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):10D7448,526
(C2×C4⋊C4)⋊11D7 = (C2×C28).290D4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):11D7448,527
(C2×C4⋊C4)⋊12D7 = (C2×C4).45D28φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):12D7448,528
(C2×C4⋊C4)⋊13D7 = C14.82+ 1+4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):13D7448,957
(C2×C4⋊C4)⋊14D7 = C2×D14.5D4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):14D7448,958
(C2×C4⋊C4)⋊15D7 = C2×C4⋊D28φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):15D7448,959
(C2×C4⋊C4)⋊16D7 = C14.2- 1+4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):16D7448,960
(C2×C4⋊C4)⋊17D7 = C2×D14⋊Q8φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):17D7448,961
(C2×C4⋊C4)⋊18D7 = C2×D14⋊2Q8φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):18D7448,962
(C2×C4⋊C4)⋊19D7 = C14.2+ 1+4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):19D7448,963
(C2×C4⋊C4)⋊20D7 = C14.102+ 1+4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):20D7448,964
(C2×C4⋊C4)⋊21D7 = C2×C4⋊C4⋊D7φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):21D7448,965
(C2×C4⋊C4)⋊22D7 = C14.52- 1+4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):22D7448,966
(C2×C4⋊C4)⋊23D7 = C14.112+ 1+4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):23D7448,967
(C2×C4⋊C4)⋊24D7 = C14.62- 1+4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4):24D7448,968
(C2×C4⋊C4)⋊25D7 = C2×C4⋊C4⋊7D7φ: trivial image224(C2xC4:C4):25D7448,955
(C2×C4⋊C4)⋊26D7 = C2×D28⋊C4φ: trivial image224(C2xC4:C4):26D7448,956

Non-split extensions G=N.Q with N=C2×C4⋊C4 and Q=D7
extensionφ:Q→Out NdρLabelID
(C2×C4⋊C4).1D7 = (C2×C28)⋊C8φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4).1D7448,85
(C2×C4⋊C4).2D7 = C28.C42φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).2D7448,86
(C2×C4⋊C4).3D7 = C28.(C4⋊C4)φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4).3D7448,87
(C2×C4⋊C4).4D7 = C2×C28.Q8φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).4D7448,496
(C2×C4⋊C4).5D7 = C2×C4.Dic14φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).5D7448,497
(C2×C4⋊C4).6D7 = C4.Dic7⋊C4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4).6D7448,498
(C2×C4⋊C4).7D7 = C2×C14.Q16φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).7D7448,503
(C2×C4⋊C4).8D7 = C4⋊C4.230D14φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4).8D7448,504
(C2×C4⋊C4).9D7 = C4⋊C4.231D14φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4).9D7448,505
(C2×C4⋊C4).10D7 = Dic7⋊(C4⋊C4)φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).10D7448,506
(C2×C4⋊C4).11D7 = C28⋊(C4⋊C4)φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).11D7448,507
(C2×C4⋊C4).12D7 = (C2×Dic7)⋊6Q8φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).12D7448,508
(C2×C4⋊C4).13D7 = (C4×Dic7)⋊8C4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).13D7448,510
(C2×C4⋊C4).14D7 = (C4×Dic7)⋊9C4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).14D7448,511
(C2×C4⋊C4).15D7 = C22.23(Q8×D7)φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).15D7448,512
(C2×C4⋊C4).16D7 = (C2×C4)⋊Dic14φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).16D7448,513
(C2×C4⋊C4).17D7 = (C2×C28).287D4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).17D7448,514
(C2×C4⋊C4).18D7 = C4⋊C4⋊5Dic7φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).18D7448,515
(C2×C4⋊C4).19D7 = (C2×C28).288D4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).19D7448,516
(C2×C4⋊C4).20D7 = (C2×C4).44D28φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).20D7448,517
(C2×C4⋊C4).21D7 = (C2×C28).54D4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).21D7448,518
(C2×C4⋊C4).22D7 = C4⋊(C4⋊Dic7)φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).22D7448,519
(C2×C4⋊C4).23D7 = (C2×C28).55D4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).23D7448,520
(C2×C4⋊C4).24D7 = C2×C28⋊Q8φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).24D7448,950
(C2×C4⋊C4).25D7 = C2×Dic7.Q8φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).25D7448,951
(C2×C4⋊C4).26D7 = C2×C28.3Q8φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4448(C2xC4:C4).26D7448,952
(C2×C4⋊C4).27D7 = C14.72+ 1+4φ: D7/C7 → C2 ⊆ Out C2×C4⋊C4224(C2xC4:C4).27D7448,953
(C2×C4⋊C4).28D7 = C4⋊C4×Dic7φ: trivial image448(C2xC4:C4).28D7448,509
(C2×C4⋊C4).29D7 = C2×Dic7⋊3Q8φ: trivial image448(C2xC4:C4).29D7448,949

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