Extensions 1→N→G→Q→1 with N=C7:C12 and Q=C4

Direct product G=NxQ with N=C7:C12 and Q=C4
dρLabelID
C4xC7:C12112C4xC7:C12336,14

Semidirect products G=N:Q with N=C7:C12 and Q=C4
extensionφ:Q→Out NdρLabelID
C7:C12:C4 = Dic7:C12φ: C4/C2C2 ⊆ Out C7:C12112C7:C12:C4336,15

Non-split extensions G=N.Q with N=C7:C12 and Q=C4
extensionφ:Q→Out NdρLabelID
C7:C12.C4 = C8:F7φ: C4/C2C2 ⊆ Out C7:C12566C7:C12.C4336,8
C7:C12.2C4 = C8xF7φ: trivial image566C7:C12.2C4336,7

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