Extensions 1→N→G→Q→1 with N=C7 and Q=C7×D4

Direct product G=N×Q with N=C7 and Q=C7×D4
dρLabelID
D4×C72196D4xC7^2392,34

Semidirect products G=N:Q with N=C7 and Q=C7×D4
extensionφ:Q→Aut NdρLabelID
C71(C7×D4) = C7×D28φ: C7×D4/C28C2 ⊆ Aut C7562C7:1(C7xD4)392,25
C72(C7×D4) = C7×C7⋊D4φ: C7×D4/C2×C14C2 ⊆ Aut C7282C7:2(C7xD4)392,27

Non-split extensions G=N.Q with N=C7 and Q=C7×D4
extensionφ:Q→Aut NdρLabelID
C7.(C7×D4) = D4×C49central extension (φ=1)1962C7.(C7xD4)392,9

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