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

Direct product G=N×Q with N=C2×D8 and Q=C4
dρLabelID
C2×C4×D864C2xC4xD8128,1668

Semidirect products G=N:Q with N=C2×D8 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×D8)⋊1C4 = C22.SD32φ: C4/C1 → C4 ⊆ Out C2×D832(C2xD8):1C4128,79
(C2×D8)⋊2C4 = C23.D8φ: C4/C1 → C4 ⊆ Out C2×D8168+(C2xD8):2C4128,71
(C2×D8)⋊3C4 = M4(2).47D4φ: C4/C1 → C4 ⊆ Out C2×D8168+(C2xD8):3C4128,635
(C2×D8)⋊4C4 = C42.5D4φ: C4/C1 → C4 ⊆ Out C2×D8168+(C2xD8):4C4128,636
(C2×D8)⋊5C4 = M4(2).43D4φ: C4/C2 → C2 ⊆ Out C2×D832(C2xD8):5C4128,608
(C2×D8)⋊6C4 = (C2×C4)⋊9D8φ: C4/C2 → C2 ⊆ Out C2×D864(C2xD8):6C4128,611
(C2×D8)⋊7C4 = (C2×C4)⋊6D8φ: C4/C2 → C2 ⊆ Out C2×D864(C2xD8):7C4128,702
(C2×D8)⋊8C4 = C42.326D4φ: C4/C2 → C2 ⊆ Out C2×D832(C2xD8):8C4128,706
(C2×D8)⋊9C4 = C2×C2.D16φ: C4/C2 → C2 ⊆ Out C2×D864(C2xD8):9C4128,868
(C2×D8)⋊10C4 = (C2×D8)⋊10C4φ: C4/C2 → C2 ⊆ Out C2×D864(C2xD8):10C4128,704
(C2×D8)⋊11C4 = C42.116D4φ: C4/C2 → C2 ⊆ Out C2×D832(C2xD8):11C4128,707
(C2×D8)⋊12C4 = M4(2).30D4φ: C4/C2 → C2 ⊆ Out C2×D8324(C2xD8):12C4128,708
(C2×D8)⋊13C4 = M4(2).32D4φ: C4/C2 → C2 ⊆ Out C2×D832(C2xD8):13C4128,710
(C2×D8)⋊14C4 = C23.40D8φ: C4/C2 → C2 ⊆ Out C2×D832(C2xD8):14C4128,872
(C2×D8)⋊15C4 = C2×D8⋊2C4φ: C4/C2 → C2 ⊆ Out C2×D832(C2xD8):15C4128,876
(C2×D8)⋊16C4 = C23.13D8φ: C4/C2 → C2 ⊆ Out C2×D8324(C2xD8):16C4128,877
(C2×D8)⋊17C4 = C2×D8⋊C4φ: C4/C2 → C2 ⊆ Out C2×D864(C2xD8):17C4128,1674
(C2×D8)⋊18C4 = C42.277C23φ: C4/C2 → C2 ⊆ Out C2×D832(C2xD8):18C4128,1680
(C2×D8)⋊19C4 = C2×C8.26D4φ: C4/C2 → C2 ⊆ Out C2×D832(C2xD8):19C4128,1686
(C2×D8)⋊20C4 = M4(2)○D8φ: C4/C2 → C2 ⊆ Out C2×D8324(C2xD8):20C4128,1689
(C2×D8)⋊21C4 = C2×C8○D8φ: trivial image32(C2xD8):21C4128,1685

Non-split extensions G=N.Q with N=C2×D8 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×D8).1C4 = C23.12SD16φ: C4/C1 → C4 ⊆ Out C2×D864(C2xD8).1C4128,81
(C2×D8).2C4 = C8.30D8φ: C4/C1 → C4 ⊆ Out C2×D864(C2xD8).2C4128,92
(C2×D8).3C4 = C4.D16φ: C4/C1 → C4 ⊆ Out C2×D864(C2xD8).3C4128,93
(C2×D8).4C4 = C23.SD16φ: C4/C1 → C4 ⊆ Out C2×D8168+(C2xD8).4C4128,73
(C2×D8).5C4 = C4.16D16φ: C4/C2 → C2 ⊆ Out C2×D864(C2xD8).5C4128,63
(C2×D8).6C4 = C8⋊9D8φ: C4/C2 → C2 ⊆ Out C2×D864(C2xD8).6C4128,313
(C2×D8).7C4 = D4⋊2M4(2)φ: C4/C2 → C2 ⊆ Out C2×D864(C2xD8).7C4128,318
(C2×D8).8C4 = C8⋊6D8φ: C4/C2 → C2 ⊆ Out C2×D864(C2xD8).8C4128,321
(C2×D8).9C4 = C2×D8.C4φ: C4/C2 → C2 ⊆ Out C2×D864(C2xD8).9C4128,874
(C2×D8).10C4 = D8⋊C8φ: C4/C2 → C2 ⊆ Out C2×D864(C2xD8).10C4128,65
(C2×D8).11C4 = D8⋊5C8φ: C4/C2 → C2 ⊆ Out C2×D864(C2xD8).11C4128,312
(C2×D8).12C4 = C8⋊3M4(2)φ: C4/C2 → C2 ⊆ Out C2×D864(C2xD8).12C4128,326
(C2×D8).13C4 = C23.20SD16φ: C4/C2 → C2 ⊆ Out C2×D8324(C2xD8).13C4128,875
(C2×D8).14C4 = C2×M5(2)⋊C2φ: C4/C2 → C2 ⊆ Out C2×D832(C2xD8).14C4128,878
(C2×D8).15C4 = C8×D8φ: trivial image64(C2xD8).15C4128,307

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