Extensions 1→N→G→Q→1 with N=S3xC9 and Q=C32

Direct product G=NxQ with N=S3xC9 and Q=C32
dρLabelID
S3xC32xC9162S3xC3^2xC9486,221

Semidirect products G=N:Q with N=S3xC9 and Q=C32
extensionφ:Q→Out NdρLabelID
(S3xC9):C32 = C3xS3x3- 1+2φ: C32/C3C3 ⊆ Out S3xC954(S3xC9):C3^2486,225

Non-split extensions G=N.Q with N=S3xC9 and Q=C32
extensionφ:Q→Out NdρLabelID
(S3xC9).C32 = S3xC9oHe3φ: C32/C3C3 ⊆ Out S3xC9546(S3xC9).C3^2486,226
(S3xC9).2C32 = S3xC3xC27φ: trivial image162(S3xC9).2C3^2486,112
(S3xC9).3C32 = S3xC27:C3φ: trivial image546(S3xC9).3C3^2486,114

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