Extensions 1→N→G→Q→1 with N=D4:2D13 and Q=C2

Direct product G=NxQ with N=D4:2D13 and Q=C2
dρLabelID
C2xD4:2D13208C2xD4:2D13416,217

Semidirect products G=N:Q with N=D4:2D13 and Q=C2
extensionφ:Q→Out NdρLabelID
D4:2D13:1C2 = D8:D13φ: C2/C1C2 ⊆ Out D4:2D131044D4:2D13:1C2416,132
D4:2D13:2C2 = D8:3D13φ: C2/C1C2 ⊆ Out D4:2D132084-D4:2D13:2C2416,133
D4:2D13:3C2 = D26.6D4φ: C2/C1C2 ⊆ Out D4:2D132084D4:2D13:3C2416,137
D4:2D13:4C2 = D4:6D26φ: C2/C1C2 ⊆ Out D4:2D131044D4:2D13:4C2416,218
D4:2D13:5C2 = D4.10D26φ: C2/C1C2 ⊆ Out D4:2D132084-D4:2D13:5C2416,224
D4:2D13:6C2 = C4oD4xD13φ: trivial image1044D4:2D13:6C2416,222

Non-split extensions G=N.Q with N=D4:2D13 and Q=C2
extensionφ:Q→Out NdρLabelID
D4:2D13.1C2 = D4.D26φ: C2/C1C2 ⊆ Out D4:2D132084-D4:2D13.1C2416,136
D4:2D13.2C2 = Dic26:C4φ: C2/C1C2 ⊆ Out D4:2D131048-D4:2D13.2C2416,83
D4:2D13.3C2 = Dic26.C4φ: C2/C1C2 ⊆ Out D4:2D132088-D4:2D13.3C2416,205

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