Extensions 1→N→G→Q→1 with N=C2xC7:D4 and Q=C4

Direct product G=NxQ with N=C2xC7:D4 and Q=C4
dρLabelID
C2xC4xC7:D4224C2xC4xC7:D4448,1241

Semidirect products G=N:Q with N=C2xC7:D4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2xC7:D4):1C4 = C23:C4:5D7φ: C4/C1C4 ⊆ Out C2xC7:D41128-(C2xC7:D4):1C4448,274
(C2xC7:D4):2C4 = D7xC23:C4φ: C4/C1C4 ⊆ Out C2xC7:D4568+(C2xC7:D4):2C4448,277
(C2xC7:D4):3C4 = C2xC23.1D14φ: C4/C2C2 ⊆ Out C2xC7:D4112(C2xC7:D4):3C4448,488
(C2xC7:D4):4C4 = C24.12D14φ: C4/C2C2 ⊆ Out C2xC7:D4224(C2xC7:D4):4C4448,490
(C2xC7:D4):5C4 = C24.13D14φ: C4/C2C2 ⊆ Out C2xC7:D4224(C2xC7:D4):5C4448,491
(C2xC7:D4):6C4 = C23.45D28φ: C4/C2C2 ⊆ Out C2xC7:D4224(C2xC7:D4):6C4448,492
(C2xC7:D4):7C4 = C23.28D28φ: C4/C2C2 ⊆ Out C2xC7:D4224(C2xC7:D4):7C4448,747
(C2xC7:D4):8C4 = C2xDic7:4D4φ: C4/C2C2 ⊆ Out C2xC7:D4224(C2xC7:D4):8C4448,938
(C2xC7:D4):9C4 = C24.24D14φ: C4/C2C2 ⊆ Out C2xC7:D4112(C2xC7:D4):9C4448,939

Non-split extensions G=N.Q with N=C2xC7:D4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2xC7:D4).1C4 = D7xC4.D4φ: C4/C1C4 ⊆ Out C2xC7:D4568+(C2xC7:D4).1C4448,278
(C2xC7:D4).2C4 = M4(2).19D14φ: C4/C1C4 ⊆ Out C2xC7:D41128-(C2xC7:D4).2C4448,279
(C2xC7:D4).3C4 = C7:D4:C8φ: C4/C2C2 ⊆ Out C2xC7:D4224(C2xC7:D4).3C4448,259
(C2xC7:D4).4C4 = D14:C8:C2φ: C4/C2C2 ⊆ Out C2xC7:D4224(C2xC7:D4).4C4448,261
(C2xC7:D4).5C4 = D14:2M4(2)φ: C4/C2C2 ⊆ Out C2xC7:D4224(C2xC7:D4).5C4448,262
(C2xC7:D4).6C4 = Dic7:M4(2)φ: C4/C2C2 ⊆ Out C2xC7:D4224(C2xC7:D4).6C4448,263
(C2xC7:D4).7C4 = C7:C8:26D4φ: C4/C2C2 ⊆ Out C2xC7:D4224(C2xC7:D4).7C4448,264
(C2xC7:D4).8C4 = (C22xC8):D7φ: C4/C2C2 ⊆ Out C2xC7:D4224(C2xC7:D4).8C4448,644
(C2xC7:D4).9C4 = C56:32D4φ: C4/C2C2 ⊆ Out C2xC7:D4224(C2xC7:D4).9C4448,645
(C2xC7:D4).10C4 = C56:D4φ: C4/C2C2 ⊆ Out C2xC7:D4224(C2xC7:D4).10C4448,661
(C2xC7:D4).11C4 = C56:18D4φ: C4/C2C2 ⊆ Out C2xC7:D4224(C2xC7:D4).11C4448,662
(C2xC7:D4).12C4 = (C2xD28).14C4φ: C4/C2C2 ⊆ Out C2xC7:D4224(C2xC7:D4).12C4448,663
(C2xC7:D4).13C4 = M4(2).31D14φ: C4/C2C2 ⊆ Out C2xC7:D41124(C2xC7:D4).13C4448,666
(C2xC7:D4).14C4 = C2xD28.C4φ: C4/C2C2 ⊆ Out C2xC7:D4224(C2xC7:D4).14C4448,1197
(C2xC7:D4).15C4 = C28.70C24φ: C4/C2C2 ⊆ Out C2xC7:D41124(C2xC7:D4).15C4448,1198
(C2xC7:D4).16C4 = C8xC7:D4φ: trivial image224(C2xC7:D4).16C4448,643
(C2xC7:D4).17C4 = C2xD28.2C4φ: trivial image224(C2xC7:D4).17C4448,1191

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