Extensions 1→N→G→Q→1 with N=C7 and Q=C4xA4

Direct product G=NxQ with N=C7 and Q=C4xA4
dρLabelID
A4xC28843A4xC28336,168

Semidirect products G=N:Q with N=C7 and Q=C4xA4
extensionφ:Q→Aut NdρLabelID
C7:(C4xA4) = Dic7:A4φ: C4xA4/C23C6 ⊆ Aut C7846-C7:(C4xA4)336,136
C7:2(C4xA4) = C4xC7:A4φ: C4xA4/C22xC4C3 ⊆ Aut C7843C7:2(C4xA4)336,171
C7:3(C4xA4) = A4xDic7φ: C4xA4/C2xA4C2 ⊆ Aut C7846-C7:3(C4xA4)336,133


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