Extensions 1→N→G→Q→1 with N=C22xC7:D4 and Q=C2

Direct product G=NxQ with N=C22xC7:D4 and Q=C2
dρLabelID
C23xC7:D4224C2^3xC7:D4448,1384

Semidirect products G=N:Q with N=C22xC7:D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xC7:D4):1C2 = C23:2D28φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4):1C2448,494
(C22xC7:D4):2C2 = C24.21D14φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4):2C2448,757
(C22xC7:D4):3C2 = C2xC22:D28φ: C2/C1C2 ⊆ Out C22xC7:D4112(C2^2xC7:D4):3C2448,940
(C22xC7:D4):4C2 = C2xD14:D4φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4):4C2448,942
(C22xC7:D4):5C2 = C24.27D14φ: C2/C1C2 ⊆ Out C22xC7:D4112(C2^2xC7:D4):5C2448,943
(C22xC7:D4):6C2 = C23:3D28φ: C2/C1C2 ⊆ Out C22xC7:D4112(C2^2xC7:D4):6C2448,946
(C22xC7:D4):7C2 = C24:2D14φ: C2/C1C2 ⊆ Out C22xC7:D4112(C2^2xC7:D4):7C2448,1042
(C22xC7:D4):8C2 = C24:3D14φ: C2/C1C2 ⊆ Out C22xC7:D4112(C2^2xC7:D4):8C2448,1043
(C22xC7:D4):9C2 = C24.33D14φ: C2/C1C2 ⊆ Out C22xC7:D4112(C2^2xC7:D4):9C2448,1044
(C22xC7:D4):10C2 = C24.34D14φ: C2/C1C2 ⊆ Out C22xC7:D4112(C2^2xC7:D4):10C2448,1045
(C22xC7:D4):11C2 = C2xC28:7D4φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4):11C2448,1243
(C22xC7:D4):12C2 = C2xC23:D14φ: C2/C1C2 ⊆ Out C22xC7:D4112(C2^2xC7:D4):12C2448,1252
(C22xC7:D4):13C2 = C2xC28:2D4φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4):13C2448,1253
(C22xC7:D4):14C2 = D4xC7:D4φ: C2/C1C2 ⊆ Out C22xC7:D4112(C2^2xC7:D4):14C2448,1254
(C22xC7:D4):15C2 = C2xDic7:D4φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4):15C2448,1255
(C22xC7:D4):16C2 = C2xC28:D4φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4):16C2448,1256
(C22xC7:D4):17C2 = C24:7D14φ: C2/C1C2 ⊆ Out C22xC7:D4112(C2^2xC7:D4):17C2448,1257
(C22xC7:D4):18C2 = C2xC24:D7φ: C2/C1C2 ⊆ Out C22xC7:D4112(C2^2xC7:D4):18C2448,1293
(C22xC7:D4):19C2 = C22xD4xD7φ: C2/C1C2 ⊆ Out C22xC7:D4112(C2^2xC7:D4):19C2448,1369
(C22xC7:D4):20C2 = C22xD4:2D7φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4):20C2448,1370
(C22xC7:D4):21C2 = C2xD4:6D14φ: C2/C1C2 ⊆ Out C22xC7:D4112(C2^2xC7:D4):21C2448,1371
(C22xC7:D4):22C2 = C22xC4oD28φ: trivial image224(C2^2xC7:D4):22C2448,1368

Non-split extensions G=N.Q with N=C22xC7:D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xC7:D4).1C2 = C2xC23.1D14φ: C2/C1C2 ⊆ Out C22xC7:D4112(C2^2xC7:D4).1C2448,488
(C22xC7:D4).2C2 = C24.12D14φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4).2C2448,490
(C22xC7:D4).3C2 = C24.13D14φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4).3C2448,491
(C22xC7:D4).4C2 = C23.45D28φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4).4C2448,492
(C22xC7:D4).5C2 = C24.14D14φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4).5C2448,493
(C22xC7:D4).6C2 = C23.16D28φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4).6C2448,495
(C22xC7:D4).7C2 = C23.28D28φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4).7C2448,747
(C22xC7:D4).8C2 = C2xDic7:4D4φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4).8C2448,938
(C22xC7:D4).9C2 = C24.24D14φ: C2/C1C2 ⊆ Out C22xC7:D4112(C2^2xC7:D4).9C2448,939
(C22xC7:D4).10C2 = C2xD14.D4φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4).10C2448,941
(C22xC7:D4).11C2 = C2xDic7.D4φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4).11C2448,944
(C22xC7:D4).12C2 = C2xC22.D28φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4).12C2448,945
(C22xC7:D4).13C2 = C2xC23.23D14φ: C2/C1C2 ⊆ Out C22xC7:D4224(C2^2xC7:D4).13C2448,1242
(C22xC7:D4).14C2 = C2xC4xC7:D4φ: trivial image224(C2^2xC7:D4).14C2448,1241

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