Extensions 1→N→G→Q→1 with N=C22xS3 and Q=C8

Direct product G=NxQ with N=C22xS3 and Q=C8
dρLabelID
S3xC22xC896S3xC2^2xC8192,1295

Semidirect products G=N:Q with N=C22xS3 and Q=C8
extensionφ:Q→Out NdρLabelID
(C22xS3):C8 = (C22xS3):C8φ: C8/C2C4 ⊆ Out C22xS348(C2^2xS3):C8192,27
(C22xS3):2C8 = S3xC22:C8φ: C8/C4C2 ⊆ Out C22xS348(C2^2xS3):2C8192,283
(C22xS3):3C8 = C2xD6:C8φ: C8/C4C2 ⊆ Out C22xS396(C2^2xS3):3C8192,667

Non-split extensions G=N.Q with N=C22xS3 and Q=C8
extensionφ:Q→Out NdρLabelID
(C22xS3).C8 = C8.25D12φ: C8/C2C4 ⊆ Out C22xS3484(C2^2xS3).C8192,73
(C22xS3).2C8 = D6:C16φ: C8/C4C2 ⊆ Out C22xS396(C2^2xS3).2C8192,66
(C22xS3).3C8 = C2xD6.C8φ: C8/C4C2 ⊆ Out C22xS396(C2^2xS3).3C8192,459
(C22xS3).4C8 = S3xM5(2)φ: C8/C4C2 ⊆ Out C22xS3484(C2^2xS3).4C8192,465
(C22xS3).5C8 = S3xC2xC16φ: trivial image96(C2^2xS3).5C8192,458

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