Extensions 1→N→G→Q→1 with N=C3 and Q=C3:C32

Direct product G=NxQ with N=C3 and Q=C3:C32
dρLabelID
C3xC3:C32962C3xC3:C32288,64

Semidirect products G=N:Q with N=C3 and Q=C3:C32
extensionφ:Q→Aut NdρLabelID
C3:(C3:C32) = C48.S3φ: C3:C32/C48C2 ⊆ Aut C3288C3:(C3:C32)288,65

Non-split extensions G=N.Q with N=C3 and Q=C3:C32
extensionφ:Q→Aut NdρLabelID
C3.(C3:C32) = C9:C32φ: C3:C32/C48C2 ⊆ Aut C32882C3.(C3:C32)288,1

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