Extensions 1→N→G→Q→1 with N=Q8 and Q=C3×D9

Direct product G=N×Q with N=Q8 and Q=C3×D9

Semidirect products G=N:Q with N=Q8 and Q=C3×D9
extensionφ:Q→Out NdρLabelID
Q8⋊(C3×D9) = C3×Q8⋊D9φ: C3×D9/C32S3 ⊆ Out Q81444Q8:(C3xD9)432,246
Q82(C3×D9) = D9×SL2(𝔽3)φ: C3×D9/D9C3 ⊆ Out Q8724-Q8:2(C3xD9)432,264
Q83(C3×D9) = C3×Q82D9φ: C3×D9/C3×C9C2 ⊆ Out Q81444Q8:3(C3xD9)432,157
Q84(C3×D9) = C3×Q83D9φ: trivial image1444Q8:4(C3xD9)432,365

Non-split extensions G=N.Q with N=Q8 and Q=C3×D9
extensionφ:Q→Out NdρLabelID
Q8.(C3×D9) = C3×Q8.D9φ: C3×D9/C32S3 ⊆ Out Q81444Q8.(C3xD9)432,244
Q8.2(C3×D9) = Dic9.2A4φ: C3×D9/D9C3 ⊆ Out Q81444+Q8.2(C3xD9)432,262
Q8.3(C3×D9) = C3×C9⋊Q16φ: C3×D9/C3×C9C2 ⊆ Out Q81444Q8.3(C3xD9)432,156