Extensions 1→N→G→Q→1 with N=C33 and Q=S3

Direct product G=N×Q with N=C33 and Q=S3
dρLabelID
S3×C33662S3xC33198,6

Semidirect products G=N:Q with N=C33 and Q=S3
extensionφ:Q→Aut NdρLabelID
C331S3 = C3⋊D33φ: S3/C3C2 ⊆ Aut C3399C33:1S3198,9
C332S3 = C3×D33φ: S3/C3C2 ⊆ Aut C33662C33:2S3198,7
C333S3 = C11×C3⋊S3φ: S3/C3C2 ⊆ Aut C3399C33:3S3198,8

Non-split extensions G=N.Q with N=C33 and Q=S3
extensionφ:Q→Aut NdρLabelID
C33.1S3 = D99φ: S3/C3C2 ⊆ Aut C33992+C33.1S3198,3
C33.2S3 = C11×D9φ: S3/C3C2 ⊆ Aut C33992C33.2S3198,1

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