Extensions 1→N→G→Q→1 with N=D4:2D5 and Q=C2

Direct product G=NxQ with N=D4:2D5 and Q=C2
dρLabelID
C2xD4:2D580C2xD4:2D5160,218

Semidirect products G=N:Q with N=D4:2D5 and Q=C2
extensionφ:Q→Out NdρLabelID
D4:2D5:1C2 = D8:D5φ: C2/C1C2 ⊆ Out D4:2D5404D4:2D5:1C2160,132
D4:2D5:2C2 = D8:3D5φ: C2/C1C2 ⊆ Out D4:2D5804-D4:2D5:2C2160,133
D4:2D5:3C2 = SD16:3D5φ: C2/C1C2 ⊆ Out D4:2D5804D4:2D5:3C2160,137
D4:2D5:4C2 = D4:6D10φ: C2/C1C2 ⊆ Out D4:2D5404D4:2D5:4C2160,219
D4:2D5:5C2 = D4.10D10φ: C2/C1C2 ⊆ Out D4:2D5804-D4:2D5:5C2160,225
D4:2D5:6C2 = D5xC4oD4φ: trivial image404D4:2D5:6C2160,223

Non-split extensions G=N.Q with N=D4:2D5 and Q=C2
extensionφ:Q→Out NdρLabelID
D4:2D5.1C2 = SD16:D5φ: C2/C1C2 ⊆ Out D4:2D5804-D4:2D5.1C2160,136
D4:2D5.2C2 = D4:F5φ: C2/C1C2 ⊆ Out D4:2D5408-D4:2D5.2C2160,83
D4:2D5.3C2 = D4.F5φ: C2/C1C2 ⊆ Out D4:2D5808-D4:2D5.3C2160,206

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