Extensions 1→N→G→Q→1 with N=C3xS3 and Q=C2xC12

Direct product G=NxQ with N=C3xS3 and Q=C2xC12
dρLabelID
S3xC6xC12144S3xC6xC12432,701

Semidirect products G=N:Q with N=C3xS3 and Q=C2xC12
extensionφ:Q→Out NdρLabelID
(C3xS3):1(C2xC12) = S32xC12φ: C2xC12/C12C2 ⊆ Out C3xS3484(C3xS3):1(C2xC12)432,648
(C3xS3):2(C2xC12) = S3xC6xDic3φ: C2xC12/C2xC6C2 ⊆ Out C3xS348(C3xS3):2(C2xC12)432,651

Non-split extensions G=N.Q with N=C3xS3 and Q=C2xC12
extensionφ:Q→Out NdρLabelID
(C3xS3).(C2xC12) = S3xC2xC36φ: trivial image144(C3xS3).(C2xC12)432,345

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