Extensions 1→N→G→Q→1 with N=C3:S3 and Q=S3

Direct product G=NxQ with N=C3:S3 and Q=S3
dρLabelID
S3xC3:S318S3xC3:S3108,39

Semidirect products G=N:Q with N=C3:S3 and Q=S3
extensionφ:Q→Out NdρLabelID
C3:S3:S3 = C32:D6φ: S3/C1S3 ⊆ Out C3:S396+C3:S3:S3108,17
C3:S3:2S3 = C32:4D6φ: S3/C3C2 ⊆ Out C3:S3124C3:S3:2S3108,40

Non-split extensions G=N.Q with N=C3:S3 and Q=S3
extensionφ:Q→Out NdρLabelID
C3:S3.S3 = C33:C4φ: S3/C3C2 ⊆ Out C3:S3124C3:S3.S3108,37

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