Extensions 1→N→G→Q→1 with N=C7xC4:1D4 and Q=C2

Direct product G=NxQ with N=C7xC4:1D4 and Q=C2
dρLabelID
C14xC4:1D4224C14xC4:1D4448,1313

Semidirect products G=N:Q with N=C7xC4:1D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7xC4:1D4):1C2 = C28:2D8φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4):1C2448,606
(C7xC4:1D4):2C2 = C28:D8φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4):2C2448,607
(C7xC4:1D4):3C2 = C42.74D14φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4):3C2448,608
(C7xC4:1D4):4C2 = D28:5D4φ: C2/C1C2 ⊆ Out C7xC4:1D4564(C7xC4:1D4):4C2448,611
(C7xC4:1D4):5C2 = D7xC4:1D4φ: C2/C1C2 ⊆ Out C7xC4:1D4112(C7xC4:1D4):5C2448,1167
(C7xC4:1D4):6C2 = C42:26D14φ: C2/C1C2 ⊆ Out C7xC4:1D4112(C7xC4:1D4):6C2448,1168
(C7xC4:1D4):7C2 = C42.238D14φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4):7C2448,1169
(C7xC4:1D4):8C2 = D28:11D4φ: C2/C1C2 ⊆ Out C7xC4:1D4112(C7xC4:1D4):8C2448,1170
(C7xC4:1D4):9C2 = Dic14:11D4φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4):9C2448,1171
(C7xC4:1D4):10C2 = C42.168D14φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4):10C2448,1172
(C7xC4:1D4):11C2 = C7xD4:4D4φ: C2/C1C2 ⊆ Out C7xC4:1D4564(C7xC4:1D4):11C2448,861
(C7xC4:1D4):12C2 = C7xC4:D8φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4):12C2448,867
(C7xC4:1D4):13C2 = C7xC8:4D4φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4):13C2448,901
(C7xC4:1D4):14C2 = C7xC8:3D4φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4):14C2448,904
(C7xC4:1D4):15C2 = C42:28D14φ: C2/C1C2 ⊆ Out C7xC4:1D4112(C7xC4:1D4):15C2448,1173
(C7xC4:1D4):16C2 = C7xC22.29C24φ: C2/C1C2 ⊆ Out C7xC4:1D4112(C7xC4:1D4):16C2448,1318
(C7xC4:1D4):17C2 = C7xC22.34C24φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4):17C2448,1323
(C7xC4:1D4):18C2 = C7xD42φ: C2/C1C2 ⊆ Out C7xC4:1D4112(C7xC4:1D4):18C2448,1328
(C7xC4:1D4):19C2 = C7xQ8:6D4φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4):19C2448,1333
(C7xC4:1D4):20C2 = C7xC22.54C24φ: C2/C1C2 ⊆ Out C7xC4:1D4112(C7xC4:1D4):20C2448,1343
(C7xC4:1D4):21C2 = C7xC22.26C24φ: trivial image224(C7xC4:1D4):21C2448,1315

Non-split extensions G=N.Q with N=C7xC4:1D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7xC4:1D4).1C2 = C28.9D8φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4).1C2448,101
(C7xC4:1D4).2C2 = C28.16D8φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4).2C2448,604
(C7xC4:1D4).3C2 = C42.72D14φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4).3C2448,605
(C7xC4:1D4).4C2 = Dic14:9D4φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4).4C2448,609
(C7xC4:1D4).5C2 = C28:4SD16φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4).5C2448,610
(C7xC4:1D4).6C2 = C42.166D14φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4).6C2448,1166
(C7xC4:1D4).7C2 = C42:3Dic7φ: C2/C1C2 ⊆ Out C7xC4:1D4564(C7xC4:1D4).7C2448,102
(C7xC4:1D4).8C2 = C7xC4.D8φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4).8C2448,135
(C7xC4:1D4).9C2 = C7xC42:C4φ: C2/C1C2 ⊆ Out C7xC4:1D4564(C7xC4:1D4).9C2448,157
(C7xC4:1D4).10C2 = C7xC4:SD16φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4).10C2448,868
(C7xC4:1D4).11C2 = C7xC4.4D8φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4).11C2448,894
(C7xC4:1D4).12C2 = C7xC42.29C22φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4).12C2448,898
(C7xC4:1D4).13C2 = C7xC8:5D4φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4).13C2448,900
(C7xC4:1D4).14C2 = C7xC22.53C24φ: C2/C1C2 ⊆ Out C7xC4:1D4224(C7xC4:1D4).14C2448,1342

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