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

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

Semidirect products G=N:Q with N=D8 and Q=D4
extensionφ:Q→Out NdρLabelID
D8:D4 = D8:D4φ: D4/C2 → C22 ⊆ Out D8168+D8:D4128,922
D8:2D4 = D8:2D4φ: D4/C4 → C2 ⊆ Out D864D8:2D4128,938
D8:3D4 = D8:3D4φ: D4/C4 → C2 ⊆ Out D8164+D8:3D4128,945
D8:4D4 = D8:4D4φ: D4/C4 → C2 ⊆ Out D832D8:4D4128,2004
D8:5D4 = D8:5D4φ: D4/C4 → C2 ⊆ Out D832D8:5D4128,2005
D8:6D4 = D8:6D4φ: D4/C4 → C2 ⊆ Out D8164D8:6D4128,2023
D8:7D4 = D8:7D4φ: D4/C22 → C2 ⊆ Out D832D8:7D4128,916
D8:8D4 = D8:8D4φ: D4/C22 → C2 ⊆ Out D864D8:8D4128,918
D8:9D4 = D8:9D4φ: D4/C22 → C2 ⊆ Out D832D8:9D4128,1996
D8:10D4 = D8:10D4φ: D4/C22 → C2 ⊆ Out D832D8:10D4128,1999
D8:11D4 = D8:11D4φ: D4/C22 → C2 ⊆ Out D8168+D8:11D4128,2020
D8:12D4 = D8:12D4φ: trivial image32D8:12D4128,2012
D8:13D4 = D8:13D4φ: trivial image64D8:13D4128,2015
D8:14D4 = D8oD8φ: trivial image164+D8:14D4128,2024

Non-split extensions G=N.Q with N=D8 and Q=D4
extensionφ:Q→Out NdρLabelID
D8.1D4 = D8.D4φ: D4/C2 → C22 ⊆ Out D8328-D8.1D4128,923
D8.2D4 = Q16.10D4φ: D4/C2 → C22 ⊆ Out D8324+D8.2D4128,924
D8.3D4 = D8.3D4φ: D4/C2 → C22 ⊆ Out D8324D8.3D4128,926
D8.4D4 = D8.4D4φ: D4/C4 → C2 ⊆ Out D864D8.4D4128,940
D8.5D4 = D8.5D4φ: D4/C4 → C2 ⊆ Out D864D8.5D4128,942
D8.6D4 = C8.3D8φ: D4/C4 → C2 ⊆ Out D8324D8.6D4128,944
D8.7D4 = C8.5D8φ: D4/C4 → C2 ⊆ Out D8324-D8.7D4128,946
D8.8D4 = D8oSD16φ: D4/C4 → C2 ⊆ Out D8324D8.8D4128,2022
D8.9D4 = D8.9D4φ: D4/C22 → C2 ⊆ Out D832D8.9D4128,919
D8.10D4 = D8.10D4φ: D4/C22 → C2 ⊆ Out D864D8.10D4128,921
D8.11D4 = Q16.D4φ: D4/C22 → C2 ⊆ Out D8324D8.11D4128,925
D8.12D4 = D8.12D4φ: D4/C22 → C2 ⊆ Out D8644-D8.12D4128,927
D8.13D4 = D8.13D4φ: D4/C22 → C2 ⊆ Out D8328-D8.13D4128,2021
D8.14D4 = D8oQ16φ: trivial image324-D8.14D4128,2025

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