Extensions 1→N→G→Q→1 with N=C20 and Q=D7

Direct product G=NxQ with N=C20 and Q=D7
dρLabelID
D7xC201402D7xC20280,15

Semidirect products G=N:Q with N=C20 and Q=D7
extensionφ:Q→Aut NdρLabelID
C20:1D7 = D140φ: D7/C7C2 ⊆ Aut C201402+C20:1D7280,26
C20:2D7 = C4xD35φ: D7/C7C2 ⊆ Aut C201402C20:2D7280,25
C20:3D7 = C5xD28φ: D7/C7C2 ⊆ Aut C201402C20:3D7280,16

Non-split extensions G=N.Q with N=C20 and Q=D7
extensionφ:Q→Aut NdρLabelID
C20.1D7 = Dic70φ: D7/C7C2 ⊆ Aut C202802-C20.1D7280,24
C20.2D7 = C35:3C8φ: D7/C7C2 ⊆ Aut C202802C20.2D7280,3
C20.3D7 = C5xDic14φ: D7/C7C2 ⊆ Aut C202802C20.3D7280,14
C20.4D7 = C5xC7:C8central extension (φ=1)2802C20.4D7280,2

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