Extensions 1→N→G→Q→1 with N=C2xC10 and Q=D7

Direct product G=NxQ with N=C2xC10 and Q=D7
dρLabelID
D7xC2xC10140D7xC2xC10280,37

Semidirect products G=N:Q with N=C2xC10 and Q=D7
extensionφ:Q→Aut NdρLabelID
(C2xC10):1D7 = C5xC7:D4φ: D7/C7C2 ⊆ Aut C2xC101402(C2xC10):1D7280,18
(C2xC10):2D7 = C35:7D4φ: D7/C7C2 ⊆ Aut C2xC101402(C2xC10):2D7280,28
(C2xC10):3D7 = C22xD35φ: D7/C7C2 ⊆ Aut C2xC10140(C2xC10):3D7280,39

Non-split extensions G=N.Q with N=C2xC10 and Q=D7
extensionφ:Q→Aut NdρLabelID
(C2xC10).D7 = C2xDic35φ: D7/C7C2 ⊆ Aut C2xC10280(C2xC10).D7280,27
(C2xC10).2D7 = C10xDic7central extension (φ=1)280(C2xC10).2D7280,17

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