Extensions 1→N→G→Q→1 with N=C16 and Q=C3xS3

Direct product G=NxQ with N=C16 and Q=C3xS3
dρLabelID
S3xC48962S3xC48288,231

Semidirect products G=N:Q with N=C16 and Q=C3xS3
extensionφ:Q→Aut NdρLabelID
C16:1(C3xS3) = C3xD48φ: C3xS3/C32C2 ⊆ Aut C16962C16:1(C3xS3)288,233
C16:2(C3xS3) = C3xC48:C2φ: C3xS3/C32C2 ⊆ Aut C16962C16:2(C3xS3)288,234
C16:3(C3xS3) = C3xD6.C8φ: C3xS3/C32C2 ⊆ Aut C16962C16:3(C3xS3)288,232

Non-split extensions G=N.Q with N=C16 and Q=C3xS3
extensionφ:Q→Aut NdρLabelID
C16.(C3xS3) = C3xDic24φ: C3xS3/C32C2 ⊆ Aut C16962C16.(C3xS3)288,235
C16.2(C3xS3) = C3xC3:C32central extension (φ=1)962C16.2(C3xS3)288,64

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