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

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

Semidirect products G=N:Q with N=D8 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
D8⋊(C2×C4) = D16⋊C4φ: C2×C4/C2 → C22 ⊆ Out D8168+D8:(C2xC4)128,913
D8⋊2(C2×C4) = C4×D16φ: C2×C4/C4 → C2 ⊆ Out D864D8:2(C2xC4)128,904
D8⋊3(C2×C4) = D16⋊4C4φ: C2×C4/C4 → C2 ⊆ Out D864D8:3(C2xC4)128,909
D8⋊4(C2×C4) = C4×C8⋊C22φ: C2×C4/C4 → C2 ⊆ Out D832D8:4(C2xC4)128,1676
D8⋊5(C2×C4) = C42.275C23φ: C2×C4/C4 → C2 ⊆ Out D832D8:5(C2xC4)128,1678
D8⋊6(C2×C4) = M4(2).51D4φ: C2×C4/C4 → C2 ⊆ Out D8164D8:6(C2xC4)128,1688
D8⋊7(C2×C4) = C2×C2.D16φ: C2×C4/C22 → C2 ⊆ Out D864D8:7(C2xC4)128,868
D8⋊8(C2×C4) = C23.39D8φ: C2×C4/C22 → C2 ⊆ Out D864D8:8(C2xC4)128,871
D8⋊9(C2×C4) = C2×D8⋊2C4φ: C2×C4/C22 → C2 ⊆ Out D832D8:9(C2xC4)128,876
D8⋊10(C2×C4) = C2×D8⋊C4φ: C2×C4/C22 → C2 ⊆ Out D864D8:10(C2xC4)128,1674
D8⋊11(C2×C4) = C42.383D4φ: C2×C4/C22 → C2 ⊆ Out D864D8:11(C2xC4)128,1675
D8⋊12(C2×C4) = C42.281C23φ: C2×C4/C22 → C2 ⊆ Out D864D8:12(C2xC4)128,1684
D8⋊13(C2×C4) = C2×C8.26D4φ: C2×C4/C22 → C2 ⊆ Out D832D8:13(C2xC4)128,1686
D8⋊14(C2×C4) = C4×C4○D8φ: trivial image64D8:14(C2xC4)128,1671
D8⋊15(C2×C4) = C42.277C23φ: trivial image32D8:15(C2xC4)128,1680
D8⋊16(C2×C4) = C42.280C23φ: trivial image64D8:16(C2xC4)128,1683
D8⋊17(C2×C4) = C2×C8○D8φ: trivial image32D8:17(C2xC4)128,1685

Non-split extensions G=N.Q with N=D8 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
D8.(C2×C4) = Q32⋊C4φ: C2×C4/C2 → C22 ⊆ Out D8328-D8.(C2xC4)128,912
D8.2(C2×C4) = C4×SD32φ: C2×C4/C4 → C2 ⊆ Out D864D8.2(C2xC4)128,905
D8.3(C2×C4) = SD32⋊3C4φ: C2×C4/C4 → C2 ⊆ Out D864D8.3(C2xC4)128,907
D8.4(C2×C4) = C8○D16φ: C2×C4/C4 → C2 ⊆ Out D8322D8.4(C2xC4)128,910
D8.5(C2×C4) = D16⋊5C4φ: C2×C4/C4 → C2 ⊆ Out D8324D8.5(C2xC4)128,911
D8.6(C2×C4) = C42.283C23φ: C2×C4/C4 → C2 ⊆ Out D8324D8.6(C2xC4)128,1687
D8.7(C2×C4) = C23.24D8φ: C2×C4/C22 → C2 ⊆ Out D864D8.7(C2xC4)128,870
D8.8(C2×C4) = C23.40D8φ: C2×C4/C22 → C2 ⊆ Out D832D8.8(C2xC4)128,872
D8.9(C2×C4) = C2×D8.C4φ: C2×C4/C22 → C2 ⊆ Out D864D8.9(C2xC4)128,874
D8.10(C2×C4) = C23.20SD16φ: C2×C4/C22 → C2 ⊆ Out D8324D8.10(C2xC4)128,875
D8.11(C2×C4) = C23.13D8φ: C2×C4/C22 → C2 ⊆ Out D8324D8.11(C2xC4)128,877
D8.12(C2×C4) = C2×M5(2)⋊C2φ: C2×C4/C22 → C2 ⊆ Out D832D8.12(C2xC4)128,878
D8.13(C2×C4) = C23.21SD16φ: C2×C4/C22 → C2 ⊆ Out D8324D8.13(C2xC4)128,880
D8.14(C2×C4) = M4(2)○D8φ: trivial image324D8.14(C2xC4)128,1689

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