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Extensions 1→N→G→Q→1 with N=C2×C8.C4 and Q=C2

Direct product G=N×Q with N=C2×C8.C4 and Q=C2
dρLabelID
C22×C8.C464C2^2xC8.C4128,1646

Semidirect products G=N:Q with N=C2×C8.C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C8.C4)⋊1C2 = C24.19Q8φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4):1C2128,542
(C2×C8.C4)⋊2C2 = C24.9Q8φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4):2C2128,543
(C2×C8.C4)⋊3C2 = (C2×C8).103D4φ: C2/C1 → C2 ⊆ Out C2×C8.C4324(C2xC8.C4):3C2128,545
(C2×C8.C4)⋊4C2 = C8○D4⋊C4φ: C2/C1 → C2 ⊆ Out C2×C8.C4324(C2xC8.C4):4C2128,546
(C2×C8.C4)⋊5C2 = C4○D4.4Q8φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4):5C2128,547
(C2×C8.C4)⋊6C2 = C4○D4.5Q8φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4):6C2128,548
(C2×C8.C4)⋊7C2 = C24.10Q8φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4):7C2128,587
(C2×C8.C4)⋊8C2 = M4(2).42D4φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4):8C2128,598
(C2×C8.C4)⋊9C2 = M4(2).24D4φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4):9C2128,661
(C2×C8.C4)⋊10C2 = C42.326D4φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4):10C2128,706
(C2×C8.C4)⋊11C2 = C42.116D4φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4):11C2128,707
(C2×C8.C4)⋊12C2 = M4(2).31D4φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4):12C2128,709
(C2×C8.C4)⋊13C2 = M4(2).32D4φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4):13C2128,710
(C2×C8.C4)⋊14C2 = M4(2).10D4φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4):14C2128,783
(C2×C8.C4)⋊15C2 = M4(2).11D4φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4):15C2128,784
(C2×C8.C4)⋊16C2 = M4(2).12D4φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4):16C2128,795
(C2×C8.C4)⋊17C2 = C2×D8.C4φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4):17C2128,874
(C2×C8.C4)⋊18C2 = C23.20SD16φ: C2/C1 → C2 ⊆ Out C2×C8.C4324(C2xC8.C4):18C2128,875
(C2×C8.C4)⋊19C2 = C2×M5(2)⋊C2φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4):19C2128,878
(C2×C8.C4)⋊20C2 = C23.21SD16φ: C2/C1 → C2 ⊆ Out C2×C8.C4324(C2xC8.C4):20C2128,880
(C2×C8.C4)⋊21C2 = C2×M4(2).C4φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4):21C2128,1647
(C2×C8.C4)⋊22C2 = M4(2).29C23φ: C2/C1 → C2 ⊆ Out C2×C8.C4324(C2xC8.C4):22C2128,1648
(C2×C8.C4)⋊23C2 = C2×C8.26D4φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4):23C2128,1686
(C2×C8.C4)⋊24C2 = M4(2)○D8φ: C2/C1 → C2 ⊆ Out C2×C8.C4324(C2xC8.C4):24C2128,1689
(C2×C8.C4)⋊25C2 = C2×D4.3D4φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4):25C2128,1796
(C2×C8.C4)⋊26C2 = C2×D4.4D4φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4):26C2128,1797
(C2×C8.C4)⋊27C2 = C2×D4.5D4φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4):27C2128,1798
(C2×C8.C4)⋊28C2 = M4(2).10C23φ: C2/C1 → C2 ⊆ Out C2×C8.C4324(C2xC8.C4):28C2128,1799
(C2×C8.C4)⋊29C2 = C2×C8○D8φ: trivial image32(C2xC8.C4):29C2128,1685

Non-split extensions G=N.Q with N=C2×C8.C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C8.C4).1C2 = C8.8C42φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4).1C2128,113
(C2×C8.C4).2C2 = C8.9C42φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4).2C2128,114
(C2×C8.C4).3C2 = C8.11C42φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4).3C2128,115
(C2×C8.C4).4C2 = C8.13C42φ: C2/C1 → C2 ⊆ Out C2×C8.C4324(C2xC8.C4).4C2128,117
(C2×C8.C4).5C2 = C8.2C42φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4).5C2128,119
(C2×C8.C4).6C2 = M5(2).C4φ: C2/C1 → C2 ⊆ Out C2×C8.C4324(C2xC8.C4).6C2128,120
(C2×C8.C4).7C2 = C8.4C42φ: C2/C1 → C2 ⊆ Out C2×C8.C4324(C2xC8.C4).7C2128,121
(C2×C8.C4).8C2 = C8.5C42φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4).8C2128,505
(C2×C8.C4).9C2 = C8.6C42φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4).9C2128,510
(C2×C8.C4).10C2 = C8.(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C8.C4324(C2xC8.C4).10C2128,565
(C2×C8.C4).11C2 = C42.324D4φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4).11C2128,580
(C2×C8.C4).12C2 = C42.106D4φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4).12C2128,581
(C2×C8.C4).13C2 = C42.62Q8φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4).13C2128,677
(C2×C8.C4).14C2 = C42.28Q8φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4).14C2128,678
(C2×C8.C4).15C2 = C42.430D4φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4).15C2128,682
(C2×C8.C4).16C2 = M4(2).5Q8φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4).16C2128,683
(C2×C8.C4).17C2 = M4(2).6Q8φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4).17C2128,684
(C2×C8.C4).18C2 = M4(2).27D4φ: C2/C1 → C2 ⊆ Out C2×C8.C4324(C2xC8.C4).18C2128,685
(C2×C8.C4).19C2 = M4(2).33D4φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4).19C2128,711
(C2×C8.C4).20C2 = M4(2).13D4φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4).20C2128,796
(C2×C8.C4).21C2 = C2×C8.17D4φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4).21C2128,879
(C2×C8.C4).22C2 = C2×C8.Q8φ: C2/C1 → C2 ⊆ Out C2×C8.C432(C2xC8.C4).22C2128,886
(C2×C8.C4).23C2 = M5(2)⋊3C4φ: C2/C1 → C2 ⊆ Out C2×C8.C4324(C2xC8.C4).23C2128,887
(C2×C8.C4).24C2 = C2×C8.4Q8φ: C2/C1 → C2 ⊆ Out C2×C8.C464(C2xC8.C4).24C2128,892
(C2×C8.C4).25C2 = M5(2).1C4φ: C2/C1 → C2 ⊆ Out C2×C8.C4324(C2xC8.C4).25C2128,893
(C2×C8.C4).26C2 = C8.14C42φ: trivial image32(C2xC8.C4).26C2128,504
(C2×C8.C4).27C2 = C4×C8.C4φ: trivial image64(C2xC8.C4).27C2128,509

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