Extensions 1→N→G→Q→1 with N=Q8 and Q=C3×S3

Direct product G=N×Q with N=Q8 and Q=C3×S3

Semidirect products G=N:Q with N=Q8 and Q=C3×S3
extensionφ:Q→Out NdρLabelID
Q8⋊(C3×S3) = C3×GL2(𝔽3)φ: C3×S3/C3S3 ⊆ Out Q8242Q8:(C3xS3)144,122
Q82(C3×S3) = S3×SL2(𝔽3)φ: C3×S3/S3C3 ⊆ Out Q8244-Q8:2(C3xS3)144,128
Q83(C3×S3) = C3×Q82S3φ: C3×S3/C32C2 ⊆ Out Q8484Q8:3(C3xS3)144,82
Q84(C3×S3) = C3×Q83S3φ: trivial image484Q8:4(C3xS3)144,165

Non-split extensions G=N.Q with N=Q8 and Q=C3×S3
extensionφ:Q→Out NdρLabelID
Q8.(C3×S3) = C3×CSU2(𝔽3)φ: C3×S3/C3S3 ⊆ Out Q8482Q8.(C3xS3)144,121
Q8.2(C3×S3) = Dic3.A4φ: C3×S3/S3C3 ⊆ Out Q8484+Q8.2(C3xS3)144,127
Q8.3(C3×S3) = C3×C3⋊Q16φ: C3×S3/C32C2 ⊆ Out Q8484Q8.3(C3xS3)144,83