Extensions 1→N→G→Q→1 with N=C4xA4 and Q=S3

Direct product G=NxQ with N=C4xA4 and Q=S3
dρLabelID
C4xS3xA4366C4xS3xA4288,919

Semidirect products G=N:Q with N=C4xA4 and Q=S3
extensionφ:Q→Out NdρLabelID
(C4xA4):1S3 = C12:S4φ: S3/C3C2 ⊆ Out C4xA4366+(C4xA4):1S3288,909
(C4xA4):2S3 = C4xC3:S4φ: S3/C3C2 ⊆ Out C4xA4366(C4xA4):2S3288,908
(C4xA4):3S3 = A4xD12φ: S3/C3C2 ⊆ Out C4xA4366+(C4xA4):3S3288,920

Non-split extensions G=N.Q with N=C4xA4 and Q=S3
extensionφ:Q→Out NdρLabelID
(C4xA4).1S3 = A4:Dic6φ: S3/C3C2 ⊆ Out C4xA4726-(C4xA4).1S3288,907
(C4xA4).2S3 = C12.12S4φ: S3/C3C2 ⊆ Out C4xA4726(C4xA4).2S3288,402
(C4xA4).3S3 = A4xDic6φ: S3/C3C2 ⊆ Out C4xA4726-(C4xA4).3S3288,918
(C4xA4).4S3 = A4xC3:C8φ: trivial image726(C4xA4).4S3288,408

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