Extensions 1→N→G→Q→1 with N=C2xA4 and Q=C3xS3

Direct product G=NxQ with N=C2xA4 and Q=C3xS3
dρLabelID
S3xC6xA4366S3xC6xA4432,763

Semidirect products G=N:Q with N=C2xA4 and Q=C3xS3
extensionφ:Q→Out NdρLabelID
(C2xA4):(C3xS3) = C6xC3:S4φ: C3xS3/C32C2 ⊆ Out C2xA4366(C2xA4):(C3xS3)432,761

Non-split extensions G=N.Q with N=C2xA4 and Q=C3xS3
extensionφ:Q→Out NdρLabelID
(C2xA4).(C3xS3) = C3xC6.7S4φ: C3xS3/C32C2 ⊆ Out C2xA4366(C2xA4).(C3xS3)432,618
(C2xA4).2(C3xS3) = C3xDic3xA4φ: trivial image366(C2xA4).2(C3xS3)432,624

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