Extensions 1→N→G→Q→1 with N=C4xS3 and Q=C18

Direct product G=NxQ with N=C4xS3 and Q=C18
dρLabelID
S3xC2xC36144S3xC2xC36432,345

Semidirect products G=N:Q with N=C4xS3 and Q=C18
extensionφ:Q→Out NdρLabelID
(C4xS3):1C18 = S3xD4xC9φ: C18/C9C2 ⊆ Out C4xS3724(C4xS3):1C18432,358
(C4xS3):2C18 = C9xD4:2S3φ: C18/C9C2 ⊆ Out C4xS3724(C4xS3):2C18432,359
(C4xS3):3C18 = C9xQ8:3S3φ: C18/C9C2 ⊆ Out C4xS31444(C4xS3):3C18432,367
(C4xS3):4C18 = C9xC4oD12φ: C18/C9C2 ⊆ Out C4xS3722(C4xS3):4C18432,347

Non-split extensions G=N.Q with N=C4xS3 and Q=C18
extensionφ:Q→Out NdρLabelID
(C4xS3).1C18 = S3xQ8xC9φ: C18/C9C2 ⊆ Out C4xS31444(C4xS3).1C18432,366
(C4xS3).2C18 = C9xC8:S3φ: C18/C9C2 ⊆ Out C4xS31442(C4xS3).2C18432,110
(C4xS3).3C18 = S3xC72φ: trivial image1442(C4xS3).3C18432,109

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