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

Direct product G=N×Q with N=D4⋊2D5 and Q=C2
dρLabelID
C2×D4⋊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/C1 → C2 ⊆ Out D4⋊2D5404D4:2D5:1C2160,132
D4⋊2D5⋊2C2 = D8⋊3D5φ: C2/C1 → C2 ⊆ Out D4⋊2D5804-D4:2D5:2C2160,133
D4⋊2D5⋊3C2 = SD16⋊3D5φ: C2/C1 → C2 ⊆ Out D4⋊2D5804D4:2D5:3C2160,137
D4⋊2D5⋊4C2 = D4⋊6D10φ: C2/C1 → C2 ⊆ Out D4⋊2D5404D4:2D5:4C2160,219
D4⋊2D5⋊5C2 = D4.10D10φ: C2/C1 → C2 ⊆ Out D4⋊2D5804-D4:2D5:5C2160,225
D4⋊2D5⋊6C2 = D5×C4○D4φ: 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/C1 → C2 ⊆ Out D4⋊2D5804-D4:2D5.1C2160,136
D4⋊2D5.2C2 = D4⋊F5φ: C2/C1 → C2 ⊆ Out D4⋊2D5408-D4:2D5.2C2160,83
D4⋊2D5.3C2 = D4.F5φ: C2/C1 → C2 ⊆ Out D4⋊2D5808-D4:2D5.3C2160,206

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