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Extensions 1→N→G→Q→1 with N=C22×D8 and Q=C2

Direct product G=N×Q with N=C22×D8 and Q=C2
dρLabelID
C23×D864C2^3xD8128,2306

Semidirect products G=N:Q with N=C22×D8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×D8)⋊1C2 = C23⋊2D8φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8):1C2128,731
(C22×D8)⋊2C2 = (C2×C4)⋊2D8φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8):2C2128,743
(C22×D8)⋊3C2 = M4(2).4D4φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8):3C2128,750
(C22×D8)⋊4C2 = D8⋊7D4φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8):4C2128,916
(C22×D8)⋊5C2 = C2×C22⋊D8φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8):5C2128,1728
(C22×D8)⋊6C2 = C2×D4⋊D4φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8):6C2128,1732
(C22×D8)⋊7C2 = C4○D4⋊D4φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8):7C2128,1740
(C22×D8)⋊8C2 = C2×C4⋊D8φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8):8C2128,1761
(C22×D8)⋊9C2 = C42.14C23φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8):9C2128,1773
(C22×D8)⋊10C2 = C2×C8⋊7D4φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8):10C2128,1780
(C22×D8)⋊11C2 = C2×C8⋊4D4φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8):11C2128,1876
(C22×D8)⋊12C2 = D4×D8φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8):12C2128,2011
(C22×D8)⋊13C2 = D8⋊12D4φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8):13C2128,2012
(C22×D8)⋊14C2 = C22×D16φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8):14C2128,2140
(C22×D8)⋊15C2 = C2×C8⋊2D4φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8):15C2128,1784
(C22×D8)⋊16C2 = (C2×C8)⋊12D4φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8):16C2128,1790
(C22×D8)⋊17C2 = C2×D4.4D4φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8):17C2128,1797
(C22×D8)⋊18C2 = C2×C8⋊3D4φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8):18C2128,1880
(C22×D8)⋊19C2 = M4(2)⋊11D4φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8):19C2128,1887
(C22×D8)⋊20C2 = D8⋊9D4φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8):20C2128,1996
(C22×D8)⋊21C2 = C2×C16⋊C22φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8):21C2128,2144
(C22×D8)⋊22C2 = C22×C8⋊C22φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8):22C2128,2310
(C22×D8)⋊23C2 = C2×D4○D8φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8):23C2128,2313
(C22×D8)⋊24C2 = C22×C4○D8φ: trivial image64(C2^2xD8):24C2128,2309

Non-split extensions G=N.Q with N=C22×D8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×D8).1C2 = (C2×C4)⋊9D8φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8).1C2128,611
(C22×D8).2C2 = (C2×C4)⋊6D8φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8).2C2128,702
(C22×D8).3C2 = (C22×D8).C2φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8).3C2128,744
(C22×D8).4C2 = C4⋊C4.96D4φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8).4C2128,777
(C22×D8).5C2 = (C2×C4)⋊3D8φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8).5C2128,786
(C22×D8).6C2 = C2×C2.D16φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8).6C2128,868
(C22×D8).7C2 = D8.9D4φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8).7C2128,919
(C22×D8).8C2 = C2×D4.2D4φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8).8C2128,1763
(C22×D8).9C2 = C2×C8.12D4φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8).9C2128,1878
(C22×D8).10C2 = C22×SD32φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8).10C2128,2141
(C22×D8).11C2 = (C2×D8)⋊10C4φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8).11C2128,704
(C22×D8).12C2 = M4(2).32D4φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8).12C2128,710
(C22×D8).13C2 = C23.40D8φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8).13C2128,872
(C22×D8).14C2 = C2×M5(2)⋊C2φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8).14C2128,878
(C22×D8).15C2 = C2×D8⋊C4φ: C2/C1 → C2 ⊆ Out C22×D864(C2^2xD8).15C2128,1674
(C22×D8).16C2 = C42.277C23φ: C2/C1 → C2 ⊆ Out C22×D832(C2^2xD8).16C2128,1680
(C22×D8).17C2 = C2×C4×D8φ: trivial image64(C2^2xD8).17C2128,1668

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