Extensions 1→N→G→Q→1 with N=C22xS3 and Q=C2

Direct product G=NxQ with N=C22xS3 and Q=C2
dρLabelID
S3xC2324S3xC2^348,51

Semidirect products G=N:Q with N=C22xS3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xS3):1C2 = C2xD12φ: C2/C1C2 ⊆ Out C22xS324(C2^2xS3):1C248,36
(C22xS3):2C2 = S3xD4φ: C2/C1C2 ⊆ Out C22xS3124+(C2^2xS3):2C248,38
(C22xS3):3C2 = C2xC3:D4φ: C2/C1C2 ⊆ Out C22xS324(C2^2xS3):3C248,43

Non-split extensions G=N.Q with N=C22xS3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xS3).C2 = D6:C4φ: C2/C1C2 ⊆ Out C22xS324(C2^2xS3).C248,14
(C22xS3).2C2 = S3xC2xC4φ: trivial image24(C2^2xS3).2C248,35

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