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Extensions 1→N→G→Q→1 with N=C2×Q8⋊D7 and Q=C2

Direct product G=N×Q with N=C2×Q8⋊D7 and Q=C2
dρLabelID
C22×Q8⋊D7224C2^2xQ8:D7448,1260

Semidirect products G=N:Q with N=C2×Q8⋊D7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×Q8⋊D7)⋊1C2 = D28.6D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D71128+(C2xQ8:D7):1C2448,288
(C2×Q8⋊D7)⋊2C2 = Q8⋊2D28φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):2C2448,340
(C2×Q8⋊D7)⋊3C2 = D14⋊2SD16φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):3C2448,341
(C2×Q8⋊D7)⋊4C2 = D28⋊4D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):4C2448,345
(C2×Q8⋊D7)⋊5C2 = C7⋊(C8⋊D4)φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):5C2448,346
(C2×Q8⋊D7)⋊6C2 = D28.12D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):6C2448,353
(C2×Q8⋊D7)⋊7C2 = Q8⋊D28φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):7C2448,561
(C2×Q8⋊D7)⋊8C2 = D28.36D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7112(C2xQ8:D7):8C2448,580
(C2×Q8⋊D7)⋊9C2 = D28.37D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):9C2448,581
(C2×Q8⋊D7)⋊10C2 = C7⋊C8⋊24D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):10C2448,582
(C2×Q8⋊D7)⋊11C2 = C7⋊C8⋊6D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):11C2448,583
(C2×Q8⋊D7)⋊12C2 = D28.23D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):12C2448,591
(C2×Q8⋊D7)⋊13C2 = C42.64D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):13C2448,592
(C2×Q8⋊D7)⋊14C2 = C42.214D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):14C2448,593
(C2×Q8⋊D7)⋊15C2 = C28⋊6SD16φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):15C2448,619
(C2×Q8⋊D7)⋊16C2 = Dic7⋊5SD16φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):16C2448,697
(C2×Q8⋊D7)⋊17C2 = D14⋊6SD16φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7112(C2xQ8:D7):17C2448,703
(C2×Q8⋊D7)⋊18C2 = C56⋊15D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):18C2448,709
(C2×Q8⋊D7)⋊19C2 = C56⋊9D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):19C2448,710
(C2×Q8⋊D7)⋊20C2 = D28.17D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):20C2448,721
(C2×Q8⋊D7)⋊21C2 = C56.28D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):21C2448,725
(C2×Q8⋊D7)⋊22C2 = M4(2).15D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D71128+(C2xQ8:D7):22C2448,737
(C2×Q8⋊D7)⋊23C2 = (C7×Q8)⋊13D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):23C2448,761
(C2×Q8⋊D7)⋊24C2 = (C7×D4)⋊14D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):24C2448,772
(C2×Q8⋊D7)⋊25C2 = C2×D7×SD16φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7112(C2xQ8:D7):25C2448,1211
(C2×Q8⋊D7)⋊26C2 = C2×D56⋊C2φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7112(C2xQ8:D7):26C2448,1212
(C2×Q8⋊D7)⋊27C2 = C2×Q16⋊D7φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):27C2448,1217
(C2×Q8⋊D7)⋊28C2 = C2×Q8.D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):28C2448,1218
(C2×Q8⋊D7)⋊29C2 = C56.C23φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D71128+(C2xQ8:D7):29C2448,1231
(C2×Q8⋊D7)⋊30C2 = C2×C28.C23φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7):30C2448,1261
(C2×Q8⋊D7)⋊31C2 = C2×D4⋊D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7112(C2xQ8:D7):31C2448,1273
(C2×Q8⋊D7)⋊32C2 = D28.34C23φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D71128+(C2xQ8:D7):32C2448,1290
(C2×Q8⋊D7)⋊33C2 = C2×D4.8D14φ: trivial image224(C2xQ8:D7):33C2448,1274

Non-split extensions G=N.Q with N=C2×Q8⋊D7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×Q8⋊D7).1C2 = Dic7⋊7SD16φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7).1C2448,322
(C2×Q8⋊D7).2C2 = Q8⋊D7⋊C4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7).2C2448,351
(C2×Q8⋊D7).3C2 = Dic7⋊SD16φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7).3C2448,352
(C2×Q8⋊D7).4C2 = C42.56D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7).4C2448,560
(C2×Q8⋊D7).5C2 = Q8.1D28φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7).5C2448,562
(C2×Q8⋊D7).6C2 = C28⋊5SD16φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7).6C2448,617
(C2×Q8⋊D7).7C2 = C42.80D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7).7C2448,620
(C2×Q8⋊D7).8C2 = (C2×Q16)⋊D7φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7).8C2448,719
(C2×Q8⋊D7).9C2 = C56.37D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊D7224(C2xQ8:D7).9C2448,724
(C2×Q8⋊D7).10C2 = C4×Q8⋊D7φ: trivial image224(C2xQ8:D7).10C2448,559

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