Extensions 1→N→G→Q→1 with N=C9:C12 and Q=C4

Direct product G=NxQ with N=C9:C12 and Q=C4
dρLabelID
C4xC9:C12144C4xC9:C12432,144

Semidirect products G=N:Q with N=C9:C12 and Q=C4
extensionφ:Q→Out NdρLabelID
C9:C12:C4 = Dic9:C12φ: C4/C2C2 ⊆ Out C9:C12144C9:C12:C4432,145

Non-split extensions G=N.Q with N=C9:C12 and Q=C4
extensionφ:Q→Out NdρLabelID
C9:C12.C4 = C72:C6φ: C4/C2C2 ⊆ Out C9:C12726C9:C12.C4432,121
C9:C12.2C4 = C8xC9:C6φ: trivial image726C9:C12.2C4432,120

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