Extensions 1→N→G→Q→1 with N=D4 and Q=C3xS3

Direct product G=NxQ with N=D4 and Q=C3xS3
dρLabelID
C3xS3xD4244C3xS3xD4144,162

Semidirect products G=N:Q with N=D4 and Q=C3xS3
extensionφ:Q→Out NdρLabelID
D4:(C3xS3) = C3xD4:S3φ: C3xS3/C32C2 ⊆ Out D4244D4:(C3xS3)144,80
D4:2(C3xS3) = C3xD4:2S3φ: trivial image244D4:2(C3xS3)144,163

Non-split extensions G=N.Q with N=D4 and Q=C3xS3
extensionφ:Q→Out NdρLabelID
D4.(C3xS3) = C3xD4.S3φ: C3xS3/C32C2 ⊆ Out D4244D4.(C3xS3)144,81

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