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Extensions 1→N→G→Q→1 with N=C2×D4.D7 and Q=C2

Direct product G=N×Q with N=C2×D4.D7 and Q=C2
dρLabelID
C22×D4.D7224C2^2xD4.D7448,1247

Semidirect products G=N:Q with N=C2×D4.D7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×D4.D7)⋊1C2 = D28.2D4φ: C2/C1 → C2 ⊆ Out C2×D4.D71128-(C2xD4.D7):1C2448,282
(C2×D4.D7)⋊2C2 = Dic14⋊2D4φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):2C2448,296
(C2×D4.D7)⋊3C2 = D4.6D28φ: C2/C1 → C2 ⊆ Out C2×D4.D7112(C2xD4.D7):3C2448,310
(C2×D4.D7)⋊4C2 = D14⋊SD16φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):4C2448,312
(C2×D4.D7)⋊5C2 = C7⋊C8⋊1D4φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):5C2448,314
(C2×D4.D7)⋊6C2 = D4.D28φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):6C2448,317
(C2×D4.D7)⋊7C2 = D4.1D28φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):7C2448,550
(C2×D4.D7)⋊8C2 = D28⋊17D4φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):8C2448,571
(C2×D4.D7)⋊9C2 = Dic14⋊17D4φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):9C2448,574
(C2×D4.D7)⋊10C2 = C7⋊C8⋊23D4φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):10C2448,575
(C2×D4.D7)⋊11C2 = C7⋊C8⋊5D4φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):11C2448,576
(C2×D4.D7)⋊12C2 = C42.214D14φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):12C2448,593
(C2×D4.D7)⋊13C2 = C42.74D14φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):13C2448,608
(C2×D4.D7)⋊14C2 = Dic14⋊9D4φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):14C2448,609
(C2×D4.D7)⋊15C2 = C28⋊4SD16φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):15C2448,610
(C2×D4.D7)⋊16C2 = (C2×D8).D7φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):16C2448,687
(C2×D4.D7)⋊17C2 = C56⋊11D4φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):17C2448,688
(C2×D4.D7)⋊18C2 = C56.22D4φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):18C2448,689
(C2×D4.D7)⋊19C2 = Dic14⋊D4φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):19C2448,692
(C2×D4.D7)⋊20C2 = Dic14⋊7D4φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):20C2448,704
(C2×D4.D7)⋊21C2 = C56⋊15D4φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):21C2448,709
(C2×D4.D7)⋊22C2 = M4(2).13D14φ: C2/C1 → C2 ⊆ Out C2×D4.D71128-(C2xD4.D7):22C2448,734
(C2×D4.D7)⋊23C2 = (C7×D4).31D4φ: C2/C1 → C2 ⊆ Out C2×D4.D7112(C2xD4.D7):23C2448,752
(C2×D4.D7)⋊24C2 = (C7×D4).32D4φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):24C2448,773
(C2×D4.D7)⋊25C2 = C2×D8⋊D7φ: C2/C1 → C2 ⊆ Out C2×D4.D7112(C2xD4.D7):25C2448,1208
(C2×D4.D7)⋊26C2 = C2×D8⋊3D7φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):26C2448,1209
(C2×D4.D7)⋊27C2 = C2×D7×SD16φ: C2/C1 → C2 ⊆ Out C2×D4.D7112(C2xD4.D7):27C2448,1211
(C2×D4.D7)⋊28C2 = C2×SD16⋊D7φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):28C2448,1213
(C2×D4.D7)⋊29C2 = D8⋊6D14φ: C2/C1 → C2 ⊆ Out C2×D4.D71128-(C2xD4.D7):29C2448,1228
(C2×D4.D7)⋊30C2 = C2×D4.D14φ: C2/C1 → C2 ⊆ Out C2×D4.D7112(C2xD4.D7):30C2448,1246
(C2×D4.D7)⋊31C2 = C2×D4.9D14φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7):31C2448,1276
(C2×D4.D7)⋊32C2 = D28.33C23φ: C2/C1 → C2 ⊆ Out C2×D4.D71128-(C2xD4.D7):32C2448,1289
(C2×D4.D7)⋊33C2 = C2×D4.8D14φ: trivial image224(C2xD4.D7):33C2448,1274

Non-split extensions G=N.Q with N=C2×D4.D7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×D4.D7).1C2 = D4.D7⋊C4φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7).1C2448,291
(C2×D4.D7).2C2 = Dic7⋊6SD16φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7).2C2448,292
(C2×D4.D7).3C2 = Dic14.D4φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7).3C2448,301
(C2×D4.D7).4C2 = C42.51D14φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7).4C2448,552
(C2×D4.D7).5C2 = D4.2D28φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7).5C2448,553
(C2×D4.D7).6C2 = C42.61D14φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7).6C2448,588
(C2×D4.D7).7C2 = C42.65D14φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7).7C2448,594
(C2×D4.D7).8C2 = Dic7⋊3SD16φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7).8C2448,696
(C2×D4.D7).9C2 = C56.31D4φ: C2/C1 → C2 ⊆ Out C2×D4.D7224(C2xD4.D7).9C2448,701
(C2×D4.D7).10C2 = C4×D4.D7φ: trivial image224(C2xD4.D7).10C2448,551

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