Extensions 1→N→G→Q→1 with N=C3xS3xQ8 and Q=C3

Direct product G=NxQ with N=C3xS3xQ8 and Q=C3
dρLabelID
S3xQ8xC32144S3xQ8xC3^2432,706

Semidirect products G=N:Q with N=C3xS3xQ8 and Q=C3
extensionφ:Q→Out NdρLabelID
(C3xS3xQ8):C3 = C3xS3xSL2(F3)φ: C3/C1C3 ⊆ Out C3xS3xQ8484(C3xS3xQ8):C3432,623

Non-split extensions G=N.Q with N=C3xS3xQ8 and Q=C3
extensionφ:Q→Out NdρLabelID
(C3xS3xQ8).C3 = S3xQ8:C9φ: C3/C1C3 ⊆ Out C3xS3xQ81444(C3xS3xQ8).C3432,268
(C3xS3xQ8).2C3 = S3xQ8xC9φ: trivial image1444(C3xS3xQ8).2C3432,366

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