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

Direct product G=NxQ with N=Q8 and Q=C9:S3
dρLabelID
Q8xC9:S3216Q8xC9:S3432,392

Semidirect products G=N:Q with N=Q8 and Q=C9:S3
extensionφ:Q→Out NdρLabelID
Q8:1(C9:S3) = C18.6S4φ: C9:S3/C9S3 ⊆ Out Q8724+Q8:1(C9:S3)432,253
Q8:2(C9:S3) = C32.3GL2(F3)φ: C9:S3/C32S3 ⊆ Out Q8216Q8:2(C9:S3)432,256
Q8:3(C9:S3) = C36.20D6φ: C9:S3/C3xC9C2 ⊆ Out Q8216Q8:3(C9:S3)432,195
Q8:4(C9:S3) = C36.29D6φ: trivial image216Q8:4(C9:S3)432,393

Non-split extensions G=N.Q with N=Q8 and Q=C9:S3
extensionφ:Q→Out NdρLabelID
Q8.1(C9:S3) = C18.5S4φ: C9:S3/C9S3 ⊆ Out Q81444-Q8.1(C9:S3)432,252
Q8.2(C9:S3) = C32.3CSU2(F3)φ: C9:S3/C32S3 ⊆ Out Q8432Q8.2(C9:S3)432,255
Q8.3(C9:S3) = C36.19D6φ: C9:S3/C3xC9C2 ⊆ Out Q8432Q8.3(C9:S3)432,194

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