Extensions 1→N→G→Q→1 with N=D4 and Q=D8

Direct product G=NxQ with N=D4 and Q=D8
dρLabelID
D4xD832D4xD8128,2011

Semidirect products G=N:Q with N=D4 and Q=D8
extensionφ:Q→Out NdρLabelID
D4:1D8 = C8:7D8φ: D8/C8C2 ⊆ Out D464D4:1D8128,399
D4:2D8 = D4:D8φ: D8/D4C2 ⊆ Out D432D4:2D8128,351
D4:3D8 = D4:3D8φ: D8/D4C2 ⊆ Out D464D4:3D8128,357
D4:4D8 = D4:4D8φ: trivial image32D4:4D8128,2026
D4:5D8 = D4:5D8φ: trivial image64D4:5D8128,2066

Non-split extensions G=N.Q with N=D4 and Q=D8
extensionφ:Q→Out NdρLabelID
D4.1D8 = C8:10SD16φ: D8/C8C2 ⊆ Out D464D4.1D8128,405
D4.2D8 = D4.2D8φ: D8/C8C2 ⊆ Out D464D4.2D8128,413
D4.3D8 = D4.3D8φ: D8/C8C2 ⊆ Out D4324+D4.3D8128,953
D4.4D8 = D4.4D8φ: D8/C8C2 ⊆ Out D4644-D4.4D8128,954
D4.5D8 = D4.5D8φ: D8/C8C2 ⊆ Out D4324D4.5D8128,955
D4.6D8 = D4.D8φ: D8/D4C2 ⊆ Out D432D4.6D8128,371
D4.7D8 = D4.7D8φ: D8/D4C2 ⊆ Out D464D4.7D8128,379
D4.8D8 = Q16.10D4φ: D8/D4C2 ⊆ Out D4324+D4.8D8128,924
D4.9D8 = Q16.D4φ: D8/D4C2 ⊆ Out D4324D4.9D8128,925
D4.10D8 = D8.3D4φ: D8/D4C2 ⊆ Out D4324D4.10D8128,926
D4.11D8 = D8.12D4φ: D8/D4C2 ⊆ Out D4644-D4.11D8128,927
D4.12D8 = D4oD16φ: trivial image324+D4.12D8128,2147
D4.13D8 = D4oSD32φ: trivial image324D4.13D8128,2148
D4.14D8 = Q8oD16φ: trivial image644-D4.14D8128,2149

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