Extensions 1→N→G→Q→1 with N=C7 and Q=D4:C4

Direct product G=NxQ with N=C7 and Q=D4:C4
dρLabelID
C7xD4:C4112C7xD4:C4224,51

Semidirect products G=N:Q with N=C7 and Q=D4:C4
extensionφ:Q→Aut NdρLabelID
C7:1(D4:C4) = C14.D8φ: D4:C4/C4:C4C2 ⊆ Aut C7112C7:1(D4:C4)224,15
C7:2(D4:C4) = C2.D56φ: D4:C4/C2xC8C2 ⊆ Aut C7112C7:2(D4:C4)224,27
C7:3(D4:C4) = D4:Dic7φ: D4:C4/C2xD4C2 ⊆ Aut C7112C7:3(D4:C4)224,38


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