Extensions 1→N→G→Q→1 with N=C4 and Q=C7:D7

Direct product G=NxQ with N=C4 and Q=C7:D7
dρLabelID
C4xC7:D7196C4xC7:D7392,29

Semidirect products G=N:Q with N=C4 and Q=C7:D7
extensionφ:Q→Aut NdρLabelID
C4:(C7:D7) = C28:D7φ: C7:D7/C72C2 ⊆ Aut C4196C4:(C7:D7)392,30

Non-split extensions G=N.Q with N=C4 and Q=C7:D7
extensionφ:Q→Aut NdρLabelID
C4.(C7:D7) = C72:4Q8φ: C7:D7/C72C2 ⊆ Aut C4392C4.(C7:D7)392,28
C4.2(C7:D7) = C72:4C8central extension (φ=1)392C4.2(C7:D7)392,15

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