Extensions 1→N→G→Q→1 with N=C4 and Q=C5xD7

Direct product G=NxQ with N=C4 and Q=C5xD7
dρLabelID
D7xC201402D7xC20280,15

Semidirect products G=N:Q with N=C4 and Q=C5xD7
extensionφ:Q→Aut NdρLabelID
C4:(C5xD7) = C5xD28φ: C5xD7/C35C2 ⊆ Aut C41402C4:(C5xD7)280,16

Non-split extensions G=N.Q with N=C4 and Q=C5xD7
extensionφ:Q→Aut NdρLabelID
C4.(C5xD7) = C5xDic14φ: C5xD7/C35C2 ⊆ Aut C42802C4.(C5xD7)280,14
C4.2(C5xD7) = C5xC7:C8central extension (φ=1)2802C4.2(C5xD7)280,2

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