Extensions 1→N→G→Q→1 with N=D4 and Q=C2xC8

Direct product G=NxQ with N=D4 and Q=C2xC8
dρLabelID
D4xC2xC864D4xC2xC8128,1658

Semidirect products G=N:Q with N=D4 and Q=C2xC8
extensionφ:Q→Out NdρLabelID
D4:1(C2xC8) = C8xD8φ: C2xC8/C8C2 ⊆ Out D464D4:1(C2xC8)128,307
D4:2(C2xC8) = D8:5C8φ: C2xC8/C8C2 ⊆ Out D464D4:2(C2xC8)128,312
D4:3(C2xC8) = C2xD4:C8φ: C2xC8/C2xC4C2 ⊆ Out D464D4:3(C2xC8)128,206
D4:4(C2xC8) = C42.455D4φ: C2xC8/C2xC4C2 ⊆ Out D464D4:4(C2xC8)128,208
D4:5(C2xC8) = C42.397D4φ: C2xC8/C2xC4C2 ⊆ Out D464D4:5(C2xC8)128,209
D4:6(C2xC8) = C8xC4oD4φ: trivial image64D4:6(C2xC8)128,1696
D4:7(C2xC8) = C42.691C23φ: trivial image32D4:7(C2xC8)128,1704
D4:8(C2xC8) = C42.697C23φ: trivial image64D4:8(C2xC8)128,1720

Non-split extensions G=N.Q with N=D4 and Q=C2xC8
extensionφ:Q→Out NdρLabelID
D4.1(C2xC8) = C8xSD16φ: C2xC8/C8C2 ⊆ Out D464D4.1(C2xC8)128,308
D4.2(C2xC8) = SD16:C8φ: C2xC8/C8C2 ⊆ Out D464D4.2(C2xC8)128,310
D4.3(C2xC8) = C16oD8φ: C2xC8/C8C2 ⊆ Out D4322D4.3(C2xC8)128,902
D4.4(C2xC8) = D8.C8φ: C2xC8/C8C2 ⊆ Out D4324D4.4(C2xC8)128,903
D4.5(C2xC8) = C42.398D4φ: C2xC8/C2xC4C2 ⊆ Out D432D4.5(C2xC8)128,210
D4.6(C2xC8) = C2xD4.C8φ: C2xC8/C2xC4C2 ⊆ Out D464D4.6(C2xC8)128,848
D4.7(C2xC8) = M5(2):12C22φ: C2xC8/C2xC4C2 ⊆ Out D4324D4.7(C2xC8)128,849
D4.8(C2xC8) = C2xD4oC16φ: trivial image64D4.8(C2xC8)128,2138
D4.9(C2xC8) = Q8oM5(2)φ: trivial image324D4.9(C2xC8)128,2139

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