Extensions 1→N→G→Q→1 with N=C7 and Q=C2xC4:C4

Direct product G=NxQ with N=C7 and Q=C2xC4:C4
dρLabelID
C14xC4:C4224C14xC4:C4224,151

Semidirect products G=N:Q with N=C7 and Q=C2xC4:C4
extensionφ:Q→Aut NdρLabelID
C7:1(C2xC4:C4) = D7xC4:C4φ: C2xC4:C4/C4:C4C2 ⊆ Aut C7112C7:1(C2xC4:C4)224,86
C7:2(C2xC4:C4) = C2xDic7:C4φ: C2xC4:C4/C22xC4C2 ⊆ Aut C7224C7:2(C2xC4:C4)224,118
C7:3(C2xC4:C4) = C2xC4:Dic7φ: C2xC4:C4/C22xC4C2 ⊆ Aut C7224C7:3(C2xC4:C4)224,120


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