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Extensions 1→N→G→Q→1 with N=C2×C4.D4 and Q=C2

Direct product G=N×Q with N=C2×C4.D4 and Q=C2
dρLabelID
C22×C4.D432C2^2xC4.D4128,1617

Semidirect products G=N:Q with N=C2×C4.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4.D4)⋊1C2 = C42⋊9D4φ: C2/C1 → C2 ⊆ Out C2×C4.D416(C2xC4.D4):1C2128,734
(C2×C4.D4)⋊2C2 = C42⋊10D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4):2C2128,736
(C2×C4.D4)⋊3C2 = M4(2).4D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4):3C2128,750
(C2×C4.D4)⋊4C2 = M4(2).5D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4):4C2128,751
(C2×C4.D4)⋊5C2 = M4(2)⋊6D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4):5C2128,769
(C2×C4.D4)⋊6C2 = M4(2).8D4φ: C2/C1 → C2 ⊆ Out C2×C4.D4168+(C2xC4.D4):6C2128,780
(C2×C4.D4)⋊7C2 = C2×D4⋊4D4φ: C2/C1 → C2 ⊆ Out C2×C4.D416(C2xC4.D4):7C2128,1746
(C2×C4.D4)⋊8C2 = C2×D4.9D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4):8C2128,1747
(C2×C4.D4)⋊9C2 = M4(2)⋊C23φ: C2/C1 → C2 ⊆ Out C2×C4.D4168+(C2xC4.D4):9C2128,1751
(C2×C4.D4)⋊10C2 = C2×D4.3D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4):10C2128,1796
(C2×C4.D4)⋊11C2 = C2×D4.4D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4):11C2128,1797
(C2×C4.D4)⋊12C2 = M4(2).37D4φ: C2/C1 → C2 ⊆ Out C2×C4.D4168+(C2xC4.D4):12C2128,1800
(C2×C4.D4)⋊13C2 = C25.C4φ: C2/C1 → C2 ⊆ Out C2×C4.D416(C2xC4.D4):13C2128,515
(C2×C4.D4)⋊14C2 = (C23×C4).C4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4):14C2128,517
(C2×C4.D4)⋊15C2 = 2+ 1+4⋊3C4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4):15C2128,524
(C2×C4.D4)⋊16C2 = C24.24D4φ: C2/C1 → C2 ⊆ Out C2×C4.D416(C2xC4.D4):16C2128,619
(C2×C4.D4)⋊17C2 = M4(2)⋊20D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4):17C2128,632
(C2×C4.D4)⋊18C2 = M4(2).47D4φ: C2/C1 → C2 ⊆ Out C2×C4.D4168+(C2xC4.D4):18C2128,635
(C2×C4.D4)⋊19C2 = M4(2).48D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4):19C2128,639
(C2×C4.D4)⋊20C2 = C42⋊D4φ: C2/C1 → C2 ⊆ Out C2×C4.D4168+(C2xC4.D4):20C2128,643
(C2×C4.D4)⋊21C2 = M4(2)⋊21D4φ: C2/C1 → C2 ⊆ Out C2×C4.D4168+(C2xC4.D4):21C2128,646
(C2×C4.D4)⋊22C2 = M4(2)⋊12D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4):22C2128,697
(C2×C4.D4)⋊23C2 = M4(2).32D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4):23C2128,710
(C2×C4.D4)⋊24C2 = C4⋊C4.96D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4):24C2128,777
(C2×C4.D4)⋊25C2 = M4(2).10D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4):25C2128,783
(C2×C4.D4)⋊26C2 = C2×C2≀C4φ: C2/C1 → C2 ⊆ Out C2×C4.D416(C2xC4.D4):26C2128,850
(C2×C4.D4)⋊27C2 = C24.36D4φ: C2/C1 → C2 ⊆ Out C2×C4.D4168+(C2xC4.D4):27C2128,853
(C2×C4.D4)⋊28C2 = M4(2).24C23φ: C2/C1 → C2 ⊆ Out C2×C4.D4168+(C2xC4.D4):28C2128,1620
(C2×C4.D4)⋊29C2 = C2×M4(2).8C22φ: trivial image32(C2xC4.D4):29C2128,1619

Non-split extensions G=N.Q with N=C2×C4.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4.D4).1C2 = C24.21D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4).1C2128,588
(C2×C4.D4).2C2 = C4.D4⋊3C4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4).2C2128,663
(C2×C4.D4).3C2 = M4(2).12D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4).3C2128,795
(C2×C4.D4).4C2 = C24.Q8φ: C2/C1 → C2 ⊆ Out C2×C4.D4168+(C2xC4.D4).4C2128,801
(C2×C4.D4).5C2 = C24.5D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4).5C2128,122
(C2×C4.D4).6C2 = C42.96D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4).6C2128,532
(C2×C4.D4).7C2 = C24.6(C2×C4)φ: C2/C1 → C2 ⊆ Out C2×C4.D4168+(C2xC4.D4).7C2128,561
(C2×C4.D4).8C2 = C24.23D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4).8C2128,617
(C2×C4.D4).9C2 = C42.115D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4).9C2128,699
(C2×C4.D4).10C2 = M4(2).31D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4).10C2128,709
(C2×C4.D4).11C2 = C4⋊C4.97D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4).11C2128,778
(C2×C4.D4).12C2 = (C2×C8).D4φ: C2/C1 → C2 ⊆ Out C2×C4.D4168+(C2xC4.D4).12C2128,813
(C2×C4.D4).13C2 = C2×C23.D4φ: C2/C1 → C2 ⊆ Out C2×C4.D432(C2xC4.D4).13C2128,851
(C2×C4.D4).14C2 = C4×C4.D4φ: trivial image32(C2xC4.D4).14C2128,487

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