Extensions 1→N→G→Q→1 with N=Q8 and Q=S3×C9

Direct product G=N×Q with N=Q8 and Q=S3×C9

Semidirect products G=N:Q with N=Q8 and Q=S3×C9
extensionφ:Q→Out NdρLabelID
Q8⋊(S3×C9) = C9×GL2(𝔽3)φ: S3×C9/C9S3 ⊆ Out Q8722Q8:(S3xC9)432,241
Q82(S3×C9) = S3×Q8⋊C9φ: S3×C9/C3×S3C3 ⊆ Out Q81444Q8:2(S3xC9)432,268
Q83(S3×C9) = C9×Q82S3φ: S3×C9/C3×C9C2 ⊆ Out Q81444Q8:3(S3xC9)432,158
Q84(S3×C9) = C9×Q83S3φ: trivial image1444Q8:4(S3xC9)432,367

Non-split extensions G=N.Q with N=Q8 and Q=S3×C9
extensionφ:Q→Out NdρLabelID
Q8.(S3×C9) = C9×CSU2(𝔽3)φ: S3×C9/C9S3 ⊆ Out Q81442Q8.(S3xC9)432,240
Q8.2(S3×C9) = Q8⋊C93S3φ: S3×C9/C3×S3C3 ⊆ Out Q81444Q8.2(S3xC9)432,267
Q8.3(S3×C9) = C9×C3⋊Q16φ: S3×C9/C3×C9C2 ⊆ Out Q81444Q8.3(S3xC9)432,159