Extensions 1→N→G→Q→1 with N=Dic7 and Q=D8

Direct product G=NxQ with N=Dic7 and Q=D8
dρLabelID
D8xDic7224D8xDic7448,683

Semidirect products G=N:Q with N=Dic7 and Q=D8
extensionφ:Q→Out NdρLabelID
Dic7:1D8 = C56:5D4φ: D8/C8C2 ⊆ Out Dic7224Dic7:1D8448,685
Dic7:2D8 = D28:3D4φ: D8/D4C2 ⊆ Out Dic7224Dic7:2D8448,320
Dic7:3D8 = Dic7:D8φ: D8/D4C2 ⊆ Out Dic7224Dic7:3D8448,684
Dic7:4D8 = Dic7:4D8φ: trivial image224Dic7:4D8448,290
Dic7:5D8 = Dic7:5D8φ: trivial image224Dic7:5D8448,406

Non-split extensions G=N.Q with N=Dic7 and Q=D8
extensionφ:Q→Out NdρLabelID
Dic7.1D8 = Dic7.SD16φ: D8/C8C2 ⊆ Out Dic7224Dic7.1D8448,294
Dic7.2D8 = C56:2Q8φ: D8/C8C2 ⊆ Out Dic7448Dic7.2D8448,408
Dic7.3D8 = D7xD16φ: D8/C8C2 ⊆ Out Dic71124+Dic7.3D8448,444
Dic7.4D8 = D7xSD32φ: D8/C8C2 ⊆ Out Dic71124Dic7.4D8448,447
Dic7.5D8 = D7xQ32φ: D8/C8C2 ⊆ Out Dic72244-Dic7.5D8448,451
Dic7.6D8 = Dic7.D8φ: D8/D4C2 ⊆ Out Dic7224Dic7.6D8448,293
Dic7.7D8 = D28:2Q8φ: D8/D4C2 ⊆ Out Dic7224Dic7.7D8448,424
Dic7.8D8 = D8:D14φ: D8/D4C2 ⊆ Out Dic71124Dic7.8D8448,445
Dic7.9D8 = D112:C2φ: D8/D4C2 ⊆ Out Dic71124+Dic7.9D8448,448
Dic7.10D8 = SD32:D7φ: D8/D4C2 ⊆ Out Dic72244-Dic7.10D8448,449
Dic7.11D8 = Q32:D7φ: D8/D4C2 ⊆ Out Dic72244Dic7.11D8448,452
Dic7.12D8 = D16:3D7φ: trivial image2244-Dic7.12D8448,446
Dic7.13D8 = SD32:3D7φ: trivial image2244Dic7.13D8448,450
Dic7.14D8 = Q32:3D7φ: trivial image2244+Dic7.14D8448,453

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