Extensions 1→N→G→Q→1 with N=Q8 and Q=S3×C32

Direct product G=N×Q with N=Q8 and Q=S3×C32

Semidirect products G=N:Q with N=Q8 and Q=S3×C32
extensionφ:Q→Out NdρLabelID
Q8⋊(S3×C32) = C32×GL2(𝔽3)φ: S3×C32/C32S3 ⊆ Out Q872Q8:(S3xC3^2)432,614
Q82(S3×C32) = C3×S3×SL2(𝔽3)φ: S3×C32/C3×S3C3 ⊆ Out Q8484Q8:2(S3xC3^2)432,623
Q83(S3×C32) = C32×Q82S3φ: S3×C32/C33C2 ⊆ Out Q8144Q8:3(S3xC3^2)432,477
Q84(S3×C32) = C32×Q83S3φ: trivial image144Q8:4(S3xC3^2)432,707

Non-split extensions G=N.Q with N=Q8 and Q=S3×C32
extensionφ:Q→Out NdρLabelID
Q8.(S3×C32) = C32×CSU2(𝔽3)φ: S3×C32/C32S3 ⊆ Out Q8144Q8.(S3xC3^2)432,613
Q8.2(S3×C32) = C3×Dic3.A4φ: S3×C32/C3×S3C3 ⊆ Out Q8484Q8.2(S3xC3^2)432,622
Q8.3(S3×C32) = C32×C3⋊Q16φ: S3×C32/C33C2 ⊆ Out Q8144Q8.3(S3xC3^2)432,478