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

Direct product G=NxQ with N=C7:D4 and Q=C4
dρLabelID
C4xC7:D4112C4xC7:D4224,123

Semidirect products G=N:Q with N=C7:D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C7:D4:C4 = Dic7:4D4φ: C4/C2C2 ⊆ Out C7:D4112C7:D4:C4224,76

Non-split extensions G=N.Q with N=C7:D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C7:D4.C4 = D28.C4φ: C4/C2C2 ⊆ Out C7:D41124C7:D4.C4224,102
C7:D4.2C4 = D28.2C4φ: trivial image1122C7:D4.2C4224,96

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