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Extensions 1→N→G→Q→1 with N=C2×C4○D8 and Q=C2

Direct product G=N×Q with N=C2×C4○D8 and Q=C2
dρLabelID
C22×C4○D864C2^2xC4oD8128,2309

Semidirect products G=N:Q with N=C2×C4○D8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4○D8)⋊1C2 = D8⋊8D4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8):1C2128,918
(C2×C4○D8)⋊2C2 = C24.103D4φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8):2C2128,1734
(C2×C4○D8)⋊3C2 = (C2×D4)⋊21D4φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8):3C2128,1744
(C2×C4○D8)⋊4C2 = (C2×Q8)⋊17D4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8):4C2128,1745
(C2×C4○D8)⋊5C2 = C42.443D4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8):5C2128,1767
(C2×C4○D8)⋊6C2 = C42.18C23φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8):6C2128,1777
(C2×C4○D8)⋊7C2 = C24.144D4φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8):7C2128,1782
(C2×C4○D8)⋊8C2 = C42.360D4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8):8C2128,1879
(C2×C4○D8)⋊9C2 = D8⋊12D4φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8):9C2128,2012
(C2×C4○D8)⋊10C2 = SD16⋊10D4φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8):10C2128,2014
(C2×C4○D8)⋊11C2 = D8⋊13D4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8):11C2128,2015
(C2×C4○D8)⋊12C2 = SD16⋊11D4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8):12C2128,2016
(C2×C4○D8)⋊13C2 = Q16⋊12D4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8):13C2128,2017
(C2×C4○D8)⋊14C2 = Q16⋊13D4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8):14C2128,2019
(C2×C4○D8)⋊15C2 = C2×C4○D16φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8):15C2128,2143
(C2×C4○D8)⋊16C2 = C24.110D4φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8):16C2128,1786
(C2×C4○D8)⋊17C2 = (C2×C8)⋊13D4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8):17C2128,1792
(C2×C4○D8)⋊18C2 = (C2×C8)⋊14D4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8):18C2128,1793
(C2×C4○D8)⋊19C2 = M4(2).10C23φ: C2/C1 → C2 ⊆ Out C2×C4○D8324(C2xC4oD8):19C2128,1799
(C2×C4○D8)⋊20C2 = C42.247D4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8):20C2128,1882
(C2×C4○D8)⋊21C2 = M4(2)⋊10D4φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8):21C2128,1886
(C2×C4○D8)⋊22C2 = M4(2)⋊11D4φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8):22C2128,1887
(C2×C4○D8)⋊23C2 = D8⋊10D4φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8):23C2128,1999
(C2×C4○D8)⋊24C2 = SD16⋊7D4φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8):24C2128,2000
(C2×C4○D8)⋊25C2 = SD16⋊8D4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8):25C2128,2001
(C2×C4○D8)⋊26C2 = Q16⋊10D4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8):26C2128,2003
(C2×C4○D8)⋊27C2 = C2×C16⋊C22φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8):27C2128,2144
(C2×C4○D8)⋊28C2 = D16⋊C22φ: C2/C1 → C2 ⊆ Out C2×C4○D8324(C2xC4oD8):28C2128,2146
(C2×C4○D8)⋊29C2 = C2×D8⋊C22φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8):29C2128,2312
(C2×C4○D8)⋊30C2 = C2×D4○D8φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8):30C2128,2313
(C2×C4○D8)⋊31C2 = C2×D4○SD16φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8):31C2128,2314
(C2×C4○D8)⋊32C2 = C2×Q8○D8φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8):32C2128,2315
(C2×C4○D8)⋊33C2 = C8.C24φ: C2/C1 → C2 ⊆ Out C2×C4○D8324(C2xC4oD8):33C2128,2316

Non-split extensions G=N.Q with N=C2×C4○D8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4○D8).1C2 = M4(2).43D4φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8).1C2128,608
(C2×C4○D8).2C2 = C42.326D4φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8).2C2128,706
(C2×C4○D8).3C2 = C23.24D8φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8).3C2128,870
(C2×C4○D8).4C2 = C2×D8.C4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8).4C2128,874
(C2×C4○D8).5C2 = D8.10D4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8).5C2128,921
(C2×C4○D8).6C2 = C42.19C23φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8).6C2128,1778
(C2×C4○D8).7C2 = C42.116D4φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8).7C2128,707
(C2×C4○D8).8C2 = M4(2).30D4φ: C2/C1 → C2 ⊆ Out C2×C4○D8324(C2xC4oD8).8C2128,708
(C2×C4○D8).9C2 = C23.39D8φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8).9C2128,871
(C2×C4○D8).10C2 = C23.20SD16φ: C2/C1 → C2 ⊆ Out C2×C4○D8324(C2xC4oD8).10C2128,875
(C2×C4○D8).11C2 = C2×D8⋊2C4φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8).11C2128,876
(C2×C4○D8).12C2 = C23.13D8φ: C2/C1 → C2 ⊆ Out C2×C4○D8324(C2xC4oD8).12C2128,877
(C2×C4○D8).13C2 = C23.21SD16φ: C2/C1 → C2 ⊆ Out C2×C4○D8324(C2xC4oD8).13C2128,880
(C2×C4○D8).14C2 = C42.383D4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8).14C2128,1675
(C2×C4○D8).15C2 = C42.280C23φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8).15C2128,1683
(C2×C4○D8).16C2 = C42.281C23φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8).16C2128,1684
(C2×C4○D8).17C2 = C2×C8.26D4φ: C2/C1 → C2 ⊆ Out C2×C4○D832(C2xC4oD8).17C2128,1686
(C2×C4○D8).18C2 = M4(2)○D8φ: C2/C1 → C2 ⊆ Out C2×C4○D8324(C2xC4oD8).18C2128,1689
(C2×C4○D8).19C2 = M4(2).20D4φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8).19C2128,1888
(C2×C4○D8).20C2 = C2×Q32⋊C2φ: C2/C1 → C2 ⊆ Out C2×C4○D864(C2xC4oD8).20C2128,2145
(C2×C4○D8).21C2 = C4×C4○D8φ: trivial image64(C2xC4oD8).21C2128,1671
(C2×C4○D8).22C2 = C2×C8○D8φ: trivial image32(C2xC4oD8).22C2128,1685

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