Extensions 1→N→G→Q→1 with N=Q32 and Q=S3

Direct product G=N×Q with N=Q32 and Q=S3
dρLabelID
S3×Q32964-S3xQ32192,476

Semidirect products G=N:Q with N=Q32 and Q=S3
extensionφ:Q→Out NdρLabelID
Q321S3 = C3⋊SD64φ: S3/C3C2 ⊆ Out Q32964+Q32:1S3192,80
Q322S3 = Q32⋊S3φ: S3/C3C2 ⊆ Out Q32964Q32:2S3192,477
Q323S3 = D485C2φ: trivial image964+Q32:3S3192,478

Non-split extensions G=N.Q with N=Q32 and Q=S3
extensionφ:Q→Out NdρLabelID
Q32.S3 = C3⋊Q64φ: S3/C3C2 ⊆ Out Q321924-Q32.S3192,81

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