Extensions 1→N→G→Q→1 with N=C72:C2 and Q=C2

Direct product G=NxQ with N=C72:C2 and Q=C2
dρLabelID
C2xC72:C2144C2xC72:C2288,113

Semidirect products G=N:Q with N=C72:C2 and Q=C2
extensionφ:Q→Out NdρLabelID
C72:C2:1C2 = C8:D18φ: C2/C1C2 ⊆ Out C72:C2724+C72:C2:1C2288,118
C72:C2:2C2 = C8.D18φ: C2/C1C2 ⊆ Out C72:C21444-C72:C2:2C2288,119
C72:C2:3C2 = D8:D9φ: C2/C1C2 ⊆ Out C72:C2724C72:C2:3C2288,121
C72:C2:4C2 = Q16:D9φ: C2/C1C2 ⊆ Out C72:C21444C72:C2:4C2288,128
C72:C2:5C2 = SD16xD9φ: C2/C1C2 ⊆ Out C72:C2724C72:C2:5C2288,123
C72:C2:6C2 = SD16:3D9φ: C2/C1C2 ⊆ Out C72:C21444C72:C2:6C2288,126
C72:C2:7C2 = D72:7C2φ: trivial image1442C72:C2:7C2288,115


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