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

Direct product G=NxQ with N=D4:D5 and Q=C2
dρLabelID
C2xD4:D580C2xD4:D5160,152

Semidirect products G=N:Q with N=D4:D5 and Q=C2
extensionφ:Q→Out NdρLabelID
D4:D5:1C2 = D5xD8φ: C2/C1C2 ⊆ Out D4:D5404+D4:D5:1C2160,131
D4:D5:2C2 = D8:D5φ: C2/C1C2 ⊆ Out D4:D5404D4:D5:2C2160,132
D4:D5:3C2 = D40:C2φ: C2/C1C2 ⊆ Out D4:D5404+D4:D5:3C2160,135
D4:D5:4C2 = SD16:3D5φ: C2/C1C2 ⊆ Out D4:D5804D4:D5:4C2160,137
D4:D5:5C2 = D4.D10φ: C2/C1C2 ⊆ Out D4:D5404D4:D5:5C2160,153
D4:D5:6C2 = D4:D10φ: C2/C1C2 ⊆ Out D4:D5404+D4:D5:6C2160,170
D4:D5:7C2 = D4.8D10φ: trivial image804D4:D5:7C2160,171


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