Extensions 1→N→G→Q→1 with N=D4 and Q=C2×C8

Direct product G=N×Q with N=D4 and Q=C2×C8
dρLabelID
D4×C2×C864D4xC2xC8128,1658

Semidirect products G=N:Q with N=D4 and Q=C2×C8
extensionφ:Q→Out NdρLabelID
D41(C2×C8) = C8×D8φ: C2×C8/C8C2 ⊆ Out D464D4:1(C2xC8)128,307
D42(C2×C8) = D85C8φ: C2×C8/C8C2 ⊆ Out D464D4:2(C2xC8)128,312
D43(C2×C8) = C2×D4⋊C8φ: C2×C8/C2×C4C2 ⊆ Out D464D4:3(C2xC8)128,206
D44(C2×C8) = C42.455D4φ: C2×C8/C2×C4C2 ⊆ Out D464D4:4(C2xC8)128,208
D45(C2×C8) = C42.397D4φ: C2×C8/C2×C4C2 ⊆ Out D464D4:5(C2xC8)128,209
D46(C2×C8) = C8×C4○D4φ: trivial image64D4:6(C2xC8)128,1696
D47(C2×C8) = C42.691C23φ: trivial image32D4:7(C2xC8)128,1704
D48(C2×C8) = C42.697C23φ: trivial image64D4:8(C2xC8)128,1720

Non-split extensions G=N.Q with N=D4 and Q=C2×C8
extensionφ:Q→Out NdρLabelID
D4.1(C2×C8) = C8×SD16φ: C2×C8/C8C2 ⊆ Out D464D4.1(C2xC8)128,308
D4.2(C2×C8) = SD16⋊C8φ: C2×C8/C8C2 ⊆ Out D464D4.2(C2xC8)128,310
D4.3(C2×C8) = C16○D8φ: C2×C8/C8C2 ⊆ Out D4322D4.3(C2xC8)128,902
D4.4(C2×C8) = D8.C8φ: C2×C8/C8C2 ⊆ Out D4324D4.4(C2xC8)128,903
D4.5(C2×C8) = C42.398D4φ: C2×C8/C2×C4C2 ⊆ Out D432D4.5(C2xC8)128,210
D4.6(C2×C8) = C2×D4.C8φ: C2×C8/C2×C4C2 ⊆ Out D464D4.6(C2xC8)128,848
D4.7(C2×C8) = M5(2)⋊12C22φ: C2×C8/C2×C4C2 ⊆ Out D4324D4.7(C2xC8)128,849
D4.8(C2×C8) = C2×D4○C16φ: trivial image64D4.8(C2xC8)128,2138
D4.9(C2×C8) = Q8○M5(2)φ: trivial image324D4.9(C2xC8)128,2139

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