Extensions 1→N→G→Q→1 with N=C3 and Q=C9:C6

Direct product G=NxQ with N=C3 and Q=C9:C6
dρLabelID
C3xC9:C6186C3xC9:C6162,36

Semidirect products G=N:Q with N=C3 and Q=C9:C6
extensionφ:Q→Aut NdρLabelID
C3:(C9:C6) = C33.S3φ: C9:C6/3- 1+2C2 ⊆ Aut C327C3:(C9:C6)162,42

Non-split extensions G=N.Q with N=C3 and Q=C9:C6
extensionφ:Q→Aut NdρLabelID
C3.(C9:C6) = C32:D9φ: C9:C6/3- 1+2C2 ⊆ Aut C327C3.(C9:C6)162,5
C3.2(C9:C6) = C9:C18central extension (φ=1)186C3.2(C9:C6)162,6

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